diff --git "a/data/dm_maths/full_data_1/2017_11255.jsonl" "b/data/dm_maths/full_data_1/2017_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/2017_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: What is the lowest common multiple of 163217 and 2006?\nAnswer: 19259606","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 37955.23?\nAnswer: -37955.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*x**3 - 21*x**2 + 30 + 46275*x**4 + x + x**5 - 15*x**2 - 46269*x**4 = 0.\nAnswer: -5, -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29099*o*p - 8*p - 274 wrt o?\nAnswer: -29099*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 0 - -2 - (10 + -5 + -10)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -76802 + -316?\nAnswer: -77118","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-121*c + 117*c + c**2 - 1 + 3)*(c**2 - 4*c**2 + 2*c**2) to the form n*c**4 + b + j*c + v*c**3 + u*c**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 9*r - 32 = 0. Suppose r*f - 79500 = -f. Let k be f\/(-16) + 3\/(-12). Round k to the nearest one hundred.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of 13*m**4\/4 - 14*m - 8. Find the first derivative of t(j) wrt j.\nAnswer: 39*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9962, -1, 1290, -7 in decreasing order.\nAnswer: 1290, -1, -7, -9962","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0.9, 2 in increasing order.\nAnswer: 0.9, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -9\/8, -1, 1\/2, -2?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/16 and ((-7)\/((-3528)\/(-66)))\/(4\/104).\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 3674317386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + (2 - (-2 + 3 - -1))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(612)*-2 + (sqrt(17) - -2*sqrt(2057))**2.\nAnswer: -12*sqrt(17) + 8993","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 661, -23, -0.4, 11, 1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a - 3. Let p = -2 - 0. Let m(v) = 7. Let i(s) = -3. Let l(h) = -9*i(h) - 4*m(h). What is p*l(d) + j(d)?\nAnswer: -2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -87*(-100)\/(-5800) - (-21)\/10?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is c48 - 97?\nAnswer: bb1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 22 = 2*a - 5*g, -4*g + 5 = a. What is the remainder when 17 is divided by (-2)\/a - (-188)\/36?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (27*l**2 - 73*l**2 - 91*l**2)*(-2*l - 2*l + 2*l) as d + f*l**3 + r*l + b*l**2 and give f.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*q - 44*q = -2*w + 33, -4*q + 36 = 4*w. Calculate the remainder when 262 is divided by w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 548630.\nAnswer: 2, 5, 83, 661","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 + 6*i**2 + 4*i - 6. Suppose -4 - 11 = 3*g. Calculate f(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 7*k**2 - k - 1. Let s be r(-2). Suppose 2*w = -s + 9. What is the least common multiple of 4 and (-85)\/w + 1\/2?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:19 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 111983104033 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 26 = 4*y, 25 = -5*y + 9*y - h. Calculate the greatest common divisor of 162 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*1235.499\nAnswer: 247.0998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 34 + -34 + 30 + 22 + 10?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 = -3*u, -252*u = -4*i - 256*u - 12. Put i, 0, 1, 2, -33 in descending order.\nAnswer: 2, 1, 0, i, -33","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -313413323 (base 5) in base 3?\nAnswer: -2110120121200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 155533?\nAnswer: 7, 17, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.16102 to two dps.\nAnswer: -0.16","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/16 and -113\/37392.\nAnswer: 37392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -365*i = -366*i + 503. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1586 - 114?\nAnswer: -169a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4\/3 (b) -2 (c) 9\/2 (d) 16 (e) 13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/v**(1\/6)*v*v\/(v\/((v*v**2*v*v)\/v))*v*v\/(v\/(v\/(v**(3\/8)*v)))*v\/(v**5\/v) assuming v is positive.\nAnswer: v**(83\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:35 AM and 10:29 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that d**2\/11 - 146634*d\/11 + 493099 = 0.\nAnswer: 37, 146597","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 11 = -4. Suppose -4*r + b = 7, -r + 7*b - 2*b = -3. Let x be (-584)\/365*(-5)\/(-2). Put -5, p, r, x in increasing order.\nAnswer: -5, x, r, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 326743.8 hours?\nAnswer: 19604628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 3*p. Let h be 4\/(-6) - (-23)\/3. Let v(f) = h*f - 5*f + 0*f. What is w(v(b))?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z**2 + 2*z + 2. Let m(a) = -a**3 + a**2 - a - 1. What is -2*d(q) - 4*m(q)?\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45380910*w**2 - 17183809*w?\nAnswer: -90761820","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*v - 4*v + 12. What is the units digit of (-19)\/(v\/(-3) - (-7)\/4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -h + 5*h. Suppose 0 = h*q - 14 + 2. Suppose -q*u = -0*s + 4*s - 14, -6 = -4*u + s. Which is the biggest value? (a) -2 (b) 0.4 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 149340417 or 149340418?\nAnswer: 149340417","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + 0 + 3 + ((sqrt(27) - sqrt(3))*4)**2 + sqrt(3) - sqrt(15)\/(sqrt(20)\/sqrt(4))*3.\nAnswer: -sqrt(3) + 195","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -93*y**4 + 57*y**4 + 7*y + 34*y**4 + 24*y**2 + (-1 + 3 - 4)*(27*y**4 - 10*y**4 - 13*y**4) to a*y**3 + s*y + w*y**4 + i*y**2 + n and give i.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**4 - 5*i**3 - 11*i**2 + 5*i + 10. Let s(f) = -125*f**4 + 70*f**3 + 155*f**2 - 70*f - 140. Let u(n) = 55*o(n) + 4*s(n). Factor u(h).\nAnswer: -5*(h - 2)*(h - 1)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 950211.2 millilitres in litres?\nAnswer: 950.2112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32*a - 3*w = -134, -49 = -6*a - 4*w - 17 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o + o + 4*o + (8*o + 7*o - 7*o)*(-6 - 8 + 3).\nAnswer: -85*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = g. Suppose 0 = -n - 0*n - 5. Let l(v) be the second derivative of v**3\/3 - 15*v. Suppose -2*s + 6 = -s. Determine n*l(c) + s*q(c).\nAnswer: -4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and -13.449.\nAnswer: -12.449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*u = 121*u + 1485 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1561, 275, 1 in decreasing order.\nAnswer: 275, 1, -4, -1561","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13120 - 32220011?\nAnswer: -32233131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 925, -3, -6, 3, 2 in descending order.\nAnswer: 925, 3, 2, -1, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 219 a factor of 708207894?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39226 is divided by 65?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(-1 + -3) - -6. Solve s = -s + w for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1\/(-3))\/(15\/(-9)). Suppose 0 = -4*t + 3 + 1. Is n > t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rcd when three letters picked without replacement from {c: 1, r: 1, d: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*z - 24*z + 11*z + 1606 = 0. What is the remainder when 2258 is divided by z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 48, 48, 44, 36, 24, 8?\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -4*x**3\/7 - 25232*x**2\/7 - 302352*x\/7 - 906624\/7 = 0?\nAnswer: -6296, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((12\/(-2))\/((-170)\/(-17)))\/(2\/(-70)).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1404, -2810, -4204, -5580, -6932, -8254, -9540?\n\"Answer: v**3 - 1413*v + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.99508 and 0.5.\nAnswer: 0.99754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2*u + 0*u + 13 = 0, 0 = -2*j - 5*u - 15. Suppose t + 4*t - 50 = 0. Let z be -2 + 22\/t - j\/(-25). Solve r - 1 = 0, 0 = 2*k + 4*r - z*r + 4 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117 is divided by 40?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 127*f**3 - 12*f**2 - 12*f + 8. Let a(o) = 124*o**3 - 9*o**2 - 9*o + 8. What is -4*a(j) + 3*b(j)?\nAnswer: -115*j**3 - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) be the first derivative of u**5\/10 + u**4\/2 + 5*u**3\/6 + u**2\/2 + 6. Factor k(f).\nAnswer: f*(f + 1)**2*(f + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -3688 and 24298573.\nAnswer: 24294885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 950*w**2 - 85165*w + 100830 = 0 for w.\nAnswer: 6\/5, 3361\/38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2095677 and 7831598.\nAnswer: 9927275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/16 and 256\/640 + -111*1\/65?\nAnswer: 208","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 11, a: 3}. What is prob of picking 3 f?\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 5. Find the first derivative of -4*j**3 + j + b - j wrt j.\nAnswer: -12*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -135 - 14 - 237 + p**3 - 74 + 3*p**3.\nAnswer: 4*p**3 - 460","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -13*r**2 + 17*r - 5. Let i(u) = -12*u**2 + 17*u - 4. Let z(m) = -5*i(m) + 4*s(m). What is the second derivative of z(q) wrt q?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1047 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1339*n = -2346 - 12383 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - ((412\/34 - 5) + -9).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (60\/21 - 3)\/(15\/10). Is 0 less than or equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1738514 to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -4 + 4*r**3 - r - 4*r + 0*r**3. Suppose 16 = 4*h - 4*a, -h - 3*a - 11 = -3. Let b = h - 2. Let v(z) = -z**3 + z + 1. Calculate b*j(c) - 6*v(c).\nAnswer: 2*c**3 - c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 3 = -z, -m - 1 = 4*z - 9*z. Let y = 2.2 + -2.7. Is y at most m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/45)\/(38\/171))\/((306\/60)\/1)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 63 - (-16 + 43) - 54.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - 111)*(3 + -6). Let f be 2\/(-13) + t\/(-117). Let l(b) = b + 6. Determine l(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -518*0.1.\nAnswer: -51.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416603951.\nAnswer: 1193, 349207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 43334.805 to the nearest 1000.\nAnswer: 43000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 29692 to the nearest integer?\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/19 in -2, 3\/4, -33, 3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2783, 22268, 75151, 178130, 347903, 601168?\nAnswer: 954623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3090779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -143*r = 48 - 426 - 194 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1110*i**3 + 0*i - 6373*i**2 + 6373*i**2 + 0*i.\nAnswer: -1110*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8189 and 34480?\nAnswer: 431","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iwoo. What is prob of sequence io?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/499 + -14405\/10978. Find the common denominator of (-1)\/(4\/6) + (-243)\/(-45) and d.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000510542777 to 7 decimal places.\nAnswer: -0.0005105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2\/7, 1.4593, 2\/9, 266 in increasing order.\nAnswer: -5, -2\/7, 2\/9, 1.4593, 266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3 = 3*w, -23*w - 6*t + 8 = -18*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 31*d**2 - 36*d + 132. Is l(47) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -5*u - 54, -u - 207 + 26 = -5*j. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*a - 3. Let t(h) = -4*h + 15. Let g be t(6). Let m = g + 13. Solve -m*w - 6 = -a*d + d, -4*w = 2*d + 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + 0. Let f = 244 - 170. Suppose s = q - f. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -61 = 11*r + 27. Let w be 2\/r + 20\/(-64)*-20. Let a be -1 + 2 - (-6)\/(w\/733999). Round a to the nearest 10000.\nAnswer: 730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 751669 = 3*t, 4*t + 24*f = 20*f + 1002204. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 - 1211220?\nAnswer: -1211211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 - -7. Let a = 363 + -1087\/3. Suppose 0*p**2 - a*p**s + 2\/3*p + 1\/3*p**4 - 1\/3 = 0. What is p?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = -z**3 + z**2 - 22*z + 1. Let d(p) = 418*p**3 - 3*p**2 + 89*p - 1632. Let b(k) = -d(k) - 4*o(k). Differentiate b(v) with respect to v.\nAnswer: -1242*v**2 - 2*v - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 2*c = -c - 288, -3*i = -5*c - 216. Let h(m) = 3*m - 9. Let w = -12 + 18. Let d be h(w). Calculate the highest common factor of i and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 674586?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((a\/a**(3\/7))\/a)\/(a**3\/a))**(-1\/14)*(a**(4\/7)*a**(-2)\/a)\/(a**(1\/2)\/a*a)**(-31) assuming a is positive.\nAnswer: a**(649\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6344*w + 5955*w = -9336 for w.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 3096?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*g - 47*g + 5*k + 1600 = 0, 0 = -5*g - k + 1570. List the prime factors of 26462\/21 + (-30)\/g.\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 - (18 + -131 + 62)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*w - 5*j + 8 = 0, -612 = 5*j - 632 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -207.451 at least as big as 41.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bbbbbbvbbbbbbbbbbbb. What is prob of picking 2 b?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 31*r - 1014 = 0. Calculate the greatest common factor of 429 and r.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from cbbnyyg?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkdrkkkkkkkwk. Give prob of picking 1 w and 1 r.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 13*o**2 - 6*o - 21. What is z(-3)?\nAnswer: 114","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1.6 + 0.8. Let o = u - 0.2. Let l = -1.016 + 0.016. What is the closest to o in l, 4\/3, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in 3, 1\/4, 0.4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*f + 147 = 63 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 324 + 329 + 60*l**2 - 653 + 28*l**3 + l**4 + 36*l + 3*l**4.\nAnswer: 4*l*(l + 1)*(l + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 675 is divided by 77.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is i in 3*i**3\/7 + 660*i**2 + 64176*i + 1723200\/7 = 0?\nAnswer: -1436, -100, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 5*m. Let o(a) be the first derivative of -2*a**2 - 28. What is o(t(r))?\nAnswer: -20*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1030185 and 28977?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -2396.\nAnswer: 9\/2396","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 85 + 193 = -39*z + 44. Let i(j) = 1 + 1 + 3*j + 0*j - 1. Calculate i(z).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-8))\/(510\/272).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 312 is divided by 133?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 11 + -8 - 2.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10*(294\/15 + -12 - 6).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -130 + 1?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.3 - -0.019?\nAnswer: 18.319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**3 + t**3 - 2*t**3 + (31*t - 1443 + 1443)*(2*t**2 + 2*t**2 - 6*t**2).\nAnswer: -65*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/29 in -3.9, 1\/13, -25, 1\/5, -2\/5?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/11? (a) -2 (b) -0.28 (c) 0.7 (d) 166\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 9*a**2 - 18*a + 332. Calculate n(8).\nAnswer: 764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 17 - 19 - (1 - 229). Let y = d + -226. Solve y = 3*k + 19 - 16 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 6*i + 3. Let c be u(9). Suppose -b + 5*v = b - c, -5 = 5*v. Suppose -b - 4 = -5*m. List the prime factors of m.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-1))**6*(u*u*(u**(2\/5)\/u)\/u)**(2\/73)*((u*u\/u**(-1))**(3\/2))**13 assuming u is positive.\nAnswer: u**(38333\/730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 80\/(67800\/19775*(-14)\/(-3))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 69*l**3 - 5*l**2 + 5*l + 152. Let r(s) = 273*s**3 - 21*s**2 + 21*s + 609. Let m(w) = -5*r(w) + 21*z(w). Differentiate m(y) wrt y.\nAnswer: 252*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*s - 1 = 11*s - 743 for s.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 5, r: 2, m: 1, x: 1}. What is prob of picking 2 r and 1 o?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*a + 12 = 2*a. Let d = 3 + a. Suppose -l - l = d. Is 4\/9 less than or equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) -6\/7 (c) 227411 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*j - 245 = -514 - 275 for j.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvjvbbcjbsvbvvbbv. Give prob of sequence jsb.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -621 - -839. Calculate the remainder when d is divided by 45.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 696 and 1752?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-2))\/2*(-655)\/131\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-17831 - -17898) + -46 + 0.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 402*w**3 + 7*w**2 - 176*w**3 - 137*w**3 + w**4 - 3*w**2 - 9 - 5*w**2 in the form b*w**2 + x*w**3 + v*w**4 + t + r*w and give t.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 268*d - 1030. What is the remainder when s(8) is divided by 222?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = x**2 - 29*x - 42. Suppose 12*h = 7*h + r + 139, -5*h + 143 = 3*r. Let o be z(h). Let w = o - -250. What is the units digit of w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 61, -10\/3, 1\/2, -0.011, -4?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77 by 414944.\nAnswer: 77\/414944","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*o + 312 = 11*o. Let f(y) be the second derivative of -9\/20*y**5 - 1\/12*y**4 + 0*y**3 + 0*y**2 + 0 - o*y. Calculate f(-1).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**3 - 5*s + 5. Let q be o(2). Suppose 3*t + t - 623 = q*k, t - 3*k = 149. What is the units digit of t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27371\/6 - -4551. Let d be (-5516058)\/(-866340) + 3\/(-15). Let u = d - 2\/4813. Find the common denominator of i and u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 181 + -181.000000503. Round x to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 4*c**4 - 3*c**4 + 40 - 1526*c**2 + 3*c**4 + 1525*c**2 to k*c**2 + b*c**3 + r*c**4 + v + d*c and give v.\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -608236\/9 - -67679. Let i = 97 - x. Let l = 0.00932 - 0.40932. Which is the third smallest value? (a) l (b) i (c) -4 (d) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 60 divide 1988?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1 (b) 9 (c) -0.4 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -313 - 3?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 3*o = 9 - 130, -5*b + 2*o = -639. Calculate the remainder when b is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*n*r**3 + 2*n*r**2 + 19305*n*r - 6*r**3 - 16*r**2 + 7*r + 28 with respect to n.\nAnswer: -4*r**3 + 2*r**2 + 19305*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 236262, 5, -2 in descending order.\nAnswer: 236262, 5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 8:29 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 144*u**3 + 1063*u + 6224569.\nAnswer: 432*u**2 + 1063","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1793 - -1789. What is the nearest to g in -4\/13, 0.01, 4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 4. Let u be ((-2)\/(-10))\/((-1)\/(-5)). Let f = u + -4. Determine w(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -31*r - 348. Let h be l(-11). Let x(f) = f**2 - f. Let z(q) = -9*q**2 - q - 31. Let c(m) = -5*x(m) - z(m). Is c(h) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 7*a + 3*a)*(2 - 1 - 5) to the form x + k*a and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.3338 - -41.5742. Let z = 88 - 44. Let s = z - l. What is s rounded to 2 dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3556*d*i*x**2 + 2*d*i*x + 4*d*i - d*x**2 - 2*d*x + 5099*i*x**2 - i*x - 2*x**2 + 38*x - 3699 wrt x?\nAnswer: -7112*d*i - 2*d + 10198*i - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2739850325.\nAnswer: 5, 293, 374041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 PM and 1:11 AM?\nAnswer: 323","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 20*l + y + 53, -48543*l = -48542*l - 2*y - 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1743 - -1859. What is the remainder when 575 is divided by d?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 + -3. Solve y = 3*j + 12, j + 22 = -3*u - 3*j for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21943404 divided by -32081?\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11 - -3. Let p = 1 - -1. What is the lowest common multiple of (1*u)\/(-1 - 1) and p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 126?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 453 and 131823?\nAnswer: 453","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 30361 - -4?\nAnswer: 30365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -547.3 + 543.3. Let w = 0.19 - -3.21. Let v = w - 3. Which is the second smallest value? (a) 2 (b) v (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -19, 16, 2, 17226 in descending order.\nAnswer: 17226, 16, 2, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x*x\/(x**(-1\/4)*x)*x*x*x)\/x*x*x)**(-4\/19))**39 assuming x is positive.\nAnswer: x**(-975\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/5 (b) 3 (c) -13000 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from etuteuudumuev. Give prob of sequence eud.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -376916, -753561, -1129930, -1506017, -1881816?\n\"Answer: j**3 + 132*j**2 - 377048*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 114 * 0.2\nAnswer: 22.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from skkkkkkkkkkskkkkkkk. What is prob of sequence sk?\nAnswer: 17\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2\/123591 + 247168\/865137. Sort 0.073, -2\/7, f, 2, -4 in increasing order.\nAnswer: -4, -2\/7, 0.073, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (((-6 - -4) + 4)\/2)\/((-33)\/(-53559)) is divided by 35.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4634 and 1873791?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 256505 + -178287. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/(4*(-6)\/1664). Let i be 78\/m + (-38)\/(-16). Are i and 4 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = 2*p - 7 - 3, -3*p + 13 = 2*j. Let x(a) = -53*a**2 + 23*a**j + 27*a**2. Let f(b) = -8*b. Determine x(f(y)).\nAnswer: -192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-551 - 58*u + 550 + 308*u)*(2 + 0 - 1)*(-5 + 1 + 5).\nAnswer: 250*u - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**2 - 12*l - 22. Let z be b(-9). Let s(r) = -r + 8. Let g(w) = w - 1. Let v(p) = -2*g(p) - s(p). Let y be v(-10). Solve 0 = y*u + 21 - z for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 524152\/35867 + -453\/31. Is 0 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*h**3*k - 191*h**3 + 34*h**2*k + 2*h*k - 29*k wrt h.\nAnswer: 18*k - 1146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/(-5)*291\/(-194).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -0.41157 - -198290538\nAnswer: 198290537.58843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4411344?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6 = 4*k + a, -5*a = -3*k - 28. Calculate the common denominator of (92\/6 - k) + 0 and (4\/16)\/(1 - 64\/66).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.037 - -0.337. Put i, 1\/10, 0.5, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.5, i, 1\/10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (198\/243)\/((-4)\/(-6)) and -73\/16?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2786 and 63438613.\nAnswer: 1393","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.58 + 75.58. Let f = 79 - d. Which is bigger: 1 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmhhvphvlh. Give prob of sequence vvp.\nAnswer: 1\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 38229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 5, g: 2, c: 12}. Give prob of sequence cgg.\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/7)*c*c**(1\/11)*(c**(1\/6))**(-8\/5) assuming c is positive.\nAnswer: c**(1447\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -3*i + 1700642, -2*r + r + 2834406 = 5*i. Suppose 62227 = -5*l + 327817. Suppose w + i = -l. Round w to the nearest 100000.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22\/29 + -314\/261. Suppose 5*t - 35 = -3*c + 18, 2*t = 2*c + 18. Let q = t - 10. Which is greater: q or j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -41\/13467594?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -7*b**3 - 2*b - 2. Suppose -11*u + 14*u = -3. Let h be i(u). Suppose h*g = 10*g - 510. What are the prime factors of g?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - 296?\nAnswer: -297","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -75228 or -76741?\nAnswer: -75228","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*i + 6 + 2 = 0, 2*i = -t - 4 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 149048*z + 894273. Calculate y(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 28*d**2 + 319*d - 106. Determine v(-11).\nAnswer: -227","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 3*m - 15. Let h = -0.1 - 1.9. Let w be 248\/(-60) - (-4 - 0). Which is the nearest to h? (a) w (b) 1 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*a + 28 + 28 - 139*a - 56 to the form x + z*a and give z.\nAnswer: -134","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 46 - 78. Let x = 34 + f. Find the third derivative of 12*o**x - 20*o**2 + 2*o**4 + 9*o**4 wrt o.\nAnswer: 264*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 329125?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -318, -2060, -5222, -9804, -15806, -23228?\nAnswer: -32070","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0 + 0. Suppose 7*q - 6*q = 5. Suppose -k + f*k - g - 7 = 0, -q*g + 5 = -3*k. Is -5 greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1031011 (base 4) in base 14?\nAnswer: -1b25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that -4*t**5 - 38912*t**4 + 188*t**3 + 1829368*t**2 + 4903232*t + 3112960 = 0.\nAnswer: -9728, -5, -2, -1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m - 5*m - 2*h + 10 = 0, -2*m + 3*h + 23 = 0. Suppose 3*v - 3 = 5*p + 21, 2*p + m = 4*v. Let i = p - -23. Does 17 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/4, 3.1, 2, -0.1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2\/6)\/((-3)\/(-666)). Suppose -3*x - 140 = -b, -3*b - c = -4*x - 504. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(125) + -3 + 2*sqrt(125))*3)**2.\nAnswer: -810*sqrt(5) + 10206","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9177105 is divided by 3059007.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + (13 - (4 + 0))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y - 3*w = -5 - 4, w - 3 = 5*y. Suppose -z - 2*v + 13 = 2, -5*v = z - 20. Solve y = x - z*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33 - -19. Let l be (16\/j)\/((-2)\/7). Let u(q) = 3 + 3 - q - 4 - l*q**2 - 3. What is u(-1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -13 - -13. Suppose v*u + 2 = u. Solve 0 = 2*w - 2*d - 14, 3*d + 2*d + 23 = u*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 2*x**2. Let q(j) = 5*j**2 + 672*j. Calculate q(d(a)).\nAnswer: 20*a**4 + 1344*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(3159)*-2)\/((sqrt(75) - (sqrt(75) - (sqrt(75) - (-2*sqrt(75) + sqrt(75))) - sqrt(75))) + sqrt(27)\/(sqrt(9)*-2 + sqrt(9))).\nAnswer: 27*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*6*sqrt(9)\/sqrt(3) - (1 + (sqrt(9)\/sqrt(3) - sqrt(3))**2 + 5).\nAnswer: -36*sqrt(3) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 182749490 rounded to the nearest 1000000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 80 and 448?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 + 74 + 0)*22\/(-66). Let x(o) = -o + 1. Let z(t) = 15*t - 25. Determine r*x(j) - z(j).\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 81 or -2.074717?\nAnswer: -2.074717","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 485.8284 months?\nAnswer: 4.04857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2 by -41.\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 43442252 to the power of 1\/2, to the nearest integer?\nAnswer: 6591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1017\/11398 or 0?\nAnswer: 1017\/11398","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5315.9 + -4746. Let j = k + -570. Let n = -9 + 6. Which is the biggest value? (a) n (b) 0.7 (c) 1 (d) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1184 or -1347?\nAnswer: -1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 49\/6 - (-3)\/(-18). Suppose -o = l - 2*l. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -3, -4, 57 in descending order.\nAnswer: 57, 10, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/(sqrt(539)*-2))\/((sqrt(243) - sqrt(243)*2)*5).\nAnswer: sqrt(2)\/630","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 37, 61, 85, 109, 133?\nAnswer: 157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 45*d**3*o - 2*d**2*o - 218*o wrt d?\nAnswer: 135*d**2*o - 4*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 11, p: 5}. Give prob of sequence cpcc.\nAnswer: 165\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10400 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 165142 + 4?\nAnswer: 165146","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i. Let l(n) = -13*n**2 + 6*n + 6. Let a(p) = -13*p**2 + 5*p + 5. Let q(j) = 6*a(j) - 5*l(j). Give q(z(y)).\nAnswer: -13*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 23331 and 154?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 41350 divided by 4?\nAnswer: 20675\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r**2 - 36*r + 17*r + 17*r)*(1 - 1 + 2*r - r - 3*r + 2*r + (-2*r - 4*r + 5*r)*(3 - 2 + 0) + 5*r - 6*r - r)*(4 + 7 + 1).\nAnswer: 108*r**3 + 72*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -418 = -3*o + 206. Suppose -3*k + o = -176. Let f = k - 69. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104 is divided by 48.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 + 8*f**2 - f + 4. Let c be l(8). Let k be 2\/c*(0 + -10). Is (k\/(-1))\/(2\/(-6)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 PM and 11:24 PM?\nAnswer: 254","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 38645, 38628, 38611, 38594?\n\"Answer: -17*d + 38662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooob when four letters picked without replacement from bobboobb?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-105)\/(-21))\/(25\/15)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215.6 take away -0.3558693?\nAnswer: -215.2441307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 + (4 - (-93)\/3). Suppose 5*u + u = -q. Let o(k) = 8 + 1 + k - 3. Determine o(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**2\/t**(-5\/6))\/(t*t**(-2\/5)\/t)**(-50)*(t*t*t**(3\/2)\/t*t*t)\/(t\/(t\/(t\/(t*t**(-3)))))*t**(1\/7)*t\/((t\/(t*t**(-4)*t))\/t) assuming t is positive.\nAnswer: t**(-347\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-5)\/111*(-6600)\/(-22). Let h = p - -8225\/814. Find the common denominator of h and 25\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/((w*w\/(w\/w**(-6\/11)))\/w)*w)\/w*w**(-11))\/(w*(w\/(w\/(w*(w\/(w\/w**21))\/w)*w))\/w*w**29))**(-4\/13) assuming w is positive.\nAnswer: w**(2572\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 267 divide 21627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 2*f - 15. Let m be f\/(-702)*346 - -3. Let o = -14\/13 + m. Which is the third biggest value? (a) 3\/7 (b) 2\/3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 16995505*o**3 - 70240936*o**2?\nAnswer: 101973030","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 59*f**2 + 75*f + 399. Calculate the remainder when c(-62) is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1148*z**4 - 2145*z**2.\nAnswer: 27552*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 4*u**2 - 42*u + 86. Determine g(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 n, and 2 h when four letters picked without replacement from {h: 2, s: 1, g: 2, j: 1, p: 1, n: 1}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*v**3 + 4 - 2 - 2 + 4296*v**2 + 1 - 4303*v**2 to the form l + x*v**2 + a*v + c*v**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*c**2*h**3 + 92791965*c**2*h**2 - 247523658*h**3 wrt c?\nAnswer: -4*c*h**3 + 185583930*c*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 1\/4 (b) 2 (c) -196 (d) 2\/29\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 b, and 1 r when three letters picked without replacement from srrrrbrbbsbsbsfbr.\nAnswer: 18\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -136, -138, -140, -142, -144?\nAnswer: -146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.670336 minus 143.65?\nAnswer: -169.320336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7736835?\nAnswer: 3, 5, 419, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(2\/(-84)) + -5. What is the highest common factor of o and 111?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -103873 or -103872?\nAnswer: -103873","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 + g - 5. Suppose 3*u - 5*j - 27 = 0, -u + 2*j + 1 = 3*j. What is the tens digit of h(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 4, q: 2, e: 2, k: 6, v: 1}. What is prob of sequence hevk?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**4 - 22875*g**3 + 8769149*g**2 + 22875*g - 8769150 = 0.\nAnswer: -1, 1, 390, 22485","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -135 + 206. Is m equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 16 = -4*f + 5*q, 2*f - 5*q = -22. Let k = 3.3 - 3.14. Sort f, k, -0.2 in ascending order.\nAnswer: f, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/8 of a millennium?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/(-20)*((-182)\/(-49))\/(-26)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*c + 13600. Suppose -5*d + 46 = 11. Suppose -d*b + 3*b - c = 0. What is b rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 181517 or 181522?\nAnswer: 181522","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5310 + 169899\/32. Find the common denominator of g and -9\/28.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0032233 rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1224)\/(-2142) - (-2)\/(-7)*1)*4?\nAnswer: 8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) be the second derivative of -4*a**4\/3 + 94*a**3 - 340*a**2 + 14*a + 12. Determine b, given that p(b) = 0.\nAnswer: 5\/4, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 246, 487, 726, 963?\nAnswer: 1198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72192 + 9511?\nAnswer: 81703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/9)\/(-2*(-1)\/(-12)). Let d(q) = 3*q + 8. What is d(z)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b = -2*b - z - 596, 2*b - 5*z - 243 = 0. Suppose 54 - 173 = -y. What is the third derivative of y*w + 5*w**6 - b*w + w**2 wrt w?\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -57*t + 13*t - 277 = -893 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/27, -1\/6, 0.08?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80*v + 3296*v - 17262 - 39778 = -3914*v for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 129991549 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r - 34 + 74, t - 5*r - 996195 = 0. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4657*s - 129307 + 20295 = -1196*s + 240549 for s.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2059, -4133, -6207?\nAnswer: -8281","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 15 = 5*t - 0*d, 20 = -4*d. Solve -t*f = -4*f - 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 470*z + 2 = 471*z for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 354 = 3*d, 2*w = -2*d - 207 - 149. Let j(q) = -5*q**2 - 1. Let n be j(-5). Let t = n - w. What is the remainder when t is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -229*w**3 - 274*w**2 + 5*w.\nAnswer: -1374","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 237 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10561696?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3694*f**4 - 1256*f**2 + 16 wrt f?\nAnswer: 88656*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -62, -247, -556, -989, -1546, -2227?\n\"Answer: -62*f**2 + f - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -724352328 divided by 168\nAnswer: -4311621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 86797634.\nAnswer: 2, 7, 11, 37, 15233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8*b**3 - 27*b**2 - 240 wrt b?\nAnswer: 24*b**2 - 54*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*n - 13*n + 2*n**2 - n**2)*(-n**3 + 3*n**3 + 0*n**3 - 3*n**3 + 6*n**3 - n**3 + (2*n**3 + 2*n**3 - 3*n**3)*(6 - 2 - 3)) - n**5 + n**5 - 3*n**5.\nAnswer: 2*n**5 + 150*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1384 = j + 3*l + 1358, 0 = -2*j + 4*l + 22 for j.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) 3 (c) -2 (d) -2\/575 (e) -24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 228316?\nAnswer: 2, 11, 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/(-16)*(31 - 28 - -3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 42 + 20 - 26)*(3*a - 9*a + a).\nAnswer: 230*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*a**3 - 8208*a**2 + 24588*a.\nAnswer: 4*a*(a - 2049)*(a - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the second derivative of 19*k**5\/20 - 17*k**2\/2 - 44*k. Differentiate l(w) with respect to w.\nAnswer: 57*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.9291 - 0.0709. Let v = -0.08 - -5.08. What is the closest to v in i, 2\/13, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t**3 - 4*t**2 + 4*t - 5. Calculate the remainder when 42 is divided by f(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50292127 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**4 + 4*h**3 + 6*h**2 - 16*h + 8.\nAnswer: -2*(h - 2)*(h - 1)**2*(h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -382*s - 160. Let n(g) = -g. Give d(n(f)).\nAnswer: 382*f - 160","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 649 - (-10 + 21 + -28) is divided by 85?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 317871 (base 9) to base 2\nAnswer: 101110010001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -2\/23, -21, 1\/4, -6, -4, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1838 - 1806. Suppose -2*a + 265 = -183. What is the highest common divisor of a and m?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (276\/966 + 19\/(-42))*-1?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 4*w + 37*g + 25, -w - 4*g - 29 = 0. Which is the nearest to w? (a) 3\/7 (b) -0.4 (c) 1\/3 (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - t - 23. Suppose -66*p = -65*p. What is n(p)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + -5 + 5 + -3. Suppose x = 2*d + 3*d - 10. Which is greater: d or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/42*4)\/((-195)\/350*-10).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 317528283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s - 3*s + 2*s)*(-s - 2 + 2)*(-26878 - 324*s + 26878 - s + 13*s + 9*s + (0 + 2 - 3)*(-s + 4*s - s)) as m*s**3 + u*s**2 + k*s + c and give m.\nAnswer: -305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/22 and 47\/4.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1843*k**4 - 1200 wrt k.\nAnswer: 7372*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -46 divided by -2?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 154, 793, 2100, 4267, 7486, 11949?\n\"Answer: 32*u**3 + 142*u**2 - 11*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -743\/288 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/3 of a week in hours?\nAnswer: 3584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.06 (b) 6 (c) 0.2 (d) -5 (e) -3 (f) 33\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 922 is divided by 52?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) be the third derivative of f**8\/280 + f**4\/24 + 5*f**3\/6 - 4*f**2. Let q(z) be the first derivative of t(z). Find the first derivative of q(r) wrt r.\nAnswer: 24*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 333*n**5 + 332400*n**4 + n**3 + 839*n**2 + 7729*n wrt n?\nAnswer: 19980*n**2 + 7977600*n + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-84)\/(-15))\/(3\/15). Suppose -i = -5*i + x. Solve -i*a + 2*a = -5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0584063ns in seconds?\nAnswer: 0.0000000000584063","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 297705 from 23.94958.\nAnswer: -297681.05042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(((sqrt(891) - sqrt(891)*-2)*-1)**2 + -2) + -5.\nAnswer: 24046","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*t - 3*v, 5*t - 10 - 4 = v. Let u(h) = -3*h + 1. Let p(a) = 6*a + 1 - 6 + 3. Let r(c) = t*p(c) + 5*u(c). Differentiate r(y) wrt y.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 161 and 705801?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -88 + 91. Let p = 5.29351109 - 2.2935113. Let u = v - p. What is u rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 3*o + 24 = 0, 24*u - 33 = 29*u + 4*o for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 126.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 12. Suppose -3 = -r*w + 2. Which is the second smallest value? (a) 0.3 (b) -5 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(91)\/(6*3*sqrt(7)) + (5 + 0 + sqrt(13))*-5) + -3.\nAnswer: 178*sqrt(13)\/9 + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126 - 131 + 257 - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 443900125 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) be the second derivative of o**4\/12 + 4*o**3 + 22*o**2 + 28*o. Factor q(l).\nAnswer: (l + 2)*(l + 22)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + (4 - 9) + 7\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5)\/5)\/(2\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(85)*-1*4)\/(sqrt(5)*1*2) - ((sqrt(170)*1 - sqrt(170))*6)\/sqrt(10)*3.\nAnswer: -2*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3322*s + 275825. Calculate f(-83).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -383 - 21ab?\nAnswer: -253e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2334317, 2334642, 2334957, 2335256, 2335533, 2335782, 2335997?\n\"Answer: -t**3 + t**2 + 329*t + 2333988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3*(-4972)\/(-688) - -2. Let d = -3\/43 - m. What is the common denominator of d and -27\/22?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -195 + 190. Let v(a) = a**2 + 1. Let t = -6 - -8. Let r(f) = -6 - 6*f**t - 3*f**3 + 7*f**3 - 3*f**3. Give p*v(c) - r(c).\nAnswer: -c**3 + c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 18.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -1, -1\/31 in descending order.\nAnswer: -1\/31, -2\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/(-7)*2765\/790.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -2*l + 12. Let o be d(8). Sort 2, 8, o.\nAnswer: o, 2, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*p = 33*p - 4. Let q(x) = -6*x**p + x**2 + 4*x**2. Let f(s) = 15*s**2. Calculate f(q(y)).\nAnswer: 15*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 1837555 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2078.8 to the nearest 100.\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1752.1812651743 + -0.1829181743. Let o = 1752 - l. Round o to four decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3481204 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 118 = -30. Suppose k = 5*y + 2*c - 5*c, -3*c = 12. Let s = 10 + y. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6493974 times -0.5\nAnswer: 3246987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 12165 + 4?\nAnswer: 12202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -311*f**5 - 541622*f**3 + 914*f**2 - 38*f - 198 wrt f?\nAnswer: -18660*f**2 - 3249732","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7440)\/(-1674))\/((-4)\/(-18))*1?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-42 - (6 - -10 - 20) - (6 - -9)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/15 of a century in months?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kk when two letters picked without replacement from {k: 5, d: 9}?\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 12080 rounded to the nearest 100?\nAnswer: 12100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together -275 and -51514.\nAnswer: -51789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/2 - 318\/200) + 2\/488*-61.\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 454 + 642?\nAnswer: a96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-101)\/((-26765)\/106))\/(72\/(-20))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**3 + 5 - 9 + 4.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22201120 + 112001002121?\nAnswer: 111201101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -946*q**2 + 88*q**2 - 315*q**2 - 448*q**2 - 2*q**3 + 5*q - 1175*q**2 to the form l*q**2 + w*q**3 + k*q + b and give l.\nAnswer: -2796","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u**2 - 16*u - 39. Calculate a(-7).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/96 and -10\/3.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 20*x - 5. Let i(k) = 21*k - 5. What is -4*i(f) + 5*o(f)?\nAnswer: 16*f - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 53*d - 55*d - 18, 8 = 4*d + 5*y for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -8. What is the smallest value in i, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 10660 and 364?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -13111 (base 4) to base 8\nAnswer: -725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -51 - -52. Let o be ((-3)\/(-5))\/(2\/10). Suppose p = -o*p - 8. Which is the second smallest value? (a) v (b) p (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 528 divided by -11.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -702, -1, -16, 5 in increasing order.\nAnswer: -702, -16, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 16479 (base 10) to base 16\nAnswer: 405f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 6 = 2*g. Differentiate -363*q + 4 + 363*q - 10*q**g with respect to q.\nAnswer: -20*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - 3 + 15 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((4 + -1 + sqrt(192) - sqrt(192)) + sqrt(192) + (sqrt(192) - (-1 + sqrt(192)))*-1 + sqrt(192) + sqrt(192) + 1 + -2)**2.\nAnswer: 48*sqrt(3) + 1729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1107132501?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*u**3 + 9*u**3 - 3*u**3)*(-u + u + u)*(-2 + 4 - 4) to the form f*u + j + h*u**3 + n*u**4 + s*u**2 and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -32 + 51. Suppose 20*q - 168 = 32*q. Let p = q + u. Solve -p*c = 3*o - 0 + 5, -o - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the third derivative of 1\/120*y**6 + 13\/6*y**3 - y**2 - 7\/24*y**4 + 2\/15*y**5 + 0 + y. What is b(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4250d + -8?\nAnswer: -42515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l - l + l + (2 - 2 + 2)*(-2*l - 2*l + 5*l) - 3*l + 2*l + 3*l + (2 - 1 - 3)*(0 - 14 + l + 34).\nAnswer: 4*l - 40","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1\/20 of a microgram?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -109. What is the nearest to d in 0.4, -0.04, 0.1?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2802196000.\nAnswer: 2, 5, 19, 36871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -6 + 6 + f. Let r be s(2). Let y be r\/12 + 19\/(-42). Is y greater than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -11*o - 7. Suppose -6 = -3*c + 4*c. Let u be k(c). Suppose 0 = -2*m - 2, u = 2*g - m - 60. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*n**3 + 46670081 - 46670059 - 27*n**2 + 6*n**2 as z*n + r + y*n**2 + c*n**3 and give c.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = -2*u + 24, -5*t + 34 = -7*u + 136 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1007 = -4*m + 45, 3*v + 4*m = -612. Let r = v - -226. What is the remainder when r is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11. Suppose -t - 1 + 2 = r. Let z be t\/(-5) + (-22)\/(-10). Solve 0 = y - 4*y + j - 4, z*j = y - 2 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yj when two letters picked without replacement from {x: 1, j: 2, y: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000229153609 rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 152 and 3116.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:20 AM and 10:26 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (193 - 191) + (-1 - 1). Let w(k) be the first derivative of 0*k + 1\/4*k**3 - 6 - 3\/16*k**4 + j*k**2. Solve w(p) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + 10 = -2*o, -3*t - 7*o = -4*t + 71*o + 390 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + 3. Let m(s) = 4*s**2 + 316*s + 4396. Let w be m(-18). Solve 0 = 3*u - w + j for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -16\/31997967 and -26\/15.\nAnswer: 159989835","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-2 - 0)) + 47 + -51.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, -5, -2, -4, 1.\nAnswer: -28, -5, -4, -2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -50*o**2 + 18 + 399*o**3 - 2 + 266*o**3 - 10 - 11 wrt o?\nAnswer: 3990","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uy when two letters picked without replacement from mtuuytytyyyy.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -43becc4 + -13?\nAnswer: -43becd7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z + 173 + 175 + 177 - 700 + 179.\nAnswer: -2*z + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8595868 rounded to 2 decimal places?\nAnswer: -0.86","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tx when two letters picked without replacement from xbpsptpszptbzs.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + (1 + sqrt(108) - sqrt(108)) + 3)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 4 + (-3 - -2)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 596449.2l in millilitres?\nAnswer: 596449200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.202955 - -1.32.\nAnswer: 1.522955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + -2 - (-2 - -4 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55 and 80.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 99*l. Let g(o) be the second derivative of 0*o**3 - 1\/4*o**4 + 0*o**2 + 10*o + 2. Give n(g(y)).\nAnswer: -297*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -5*p**6\/6 - 10*p**5 - 75*p**4\/2 - 100*p**3\/3 + 155*p**2\/2 + 150*p - 101. Let q(n) = 0. What is n?\nAnswer: -5, -3, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, s: 1, k: 2, g: 2, z: 4, j: 4}. Give prob of sequence szn.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 8 = 5*u, 4*u + 1 = -2*y - 3*y. Let z be (-21)\/12 + y\/4 - -4. Let c(b) = b**2 + b - 1. Let v be c(-2). Put v, 5, z in descending order.\nAnswer: 5, z, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 1\/3, -80, 6\/11.\nAnswer: -80, -4, 1\/3, 6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of -588480 and 14.\nAnswer: -8238720","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*c - 11*c - 12480 = 0. What is the greatest common divisor of 15 and c?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 3 and 0.046352129479.\nAnswer: 3.046352129479","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 290883870 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (7\/(140\/(-4)))\/(((-392)\/105)\/(-8))?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 109, 111, 113, 115, 117?\n\"Answer: 2*l + 107","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2428528 to the nearest integer?\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -2819, -1\/230, 0, -2\/5?\nAnswer: -1\/230","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3 = -2*o - 13, 0 = -4*n - 2*o + 14. Let f = n + -4. Let m be (1 + 0)*(1 - 2). Which is the closest to f? (a) m (b) -1\/2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583.\nAnswer: 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 54009?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 10933 greater than 17533?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3016*r**4 + 1008*r**3*v**2 - v**2 - 5*v + 457640 wrt r.\nAnswer: -12064*r**3 + 3024*r**2*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-24)\/272)\/(2\/29000). Let q = a + 1280. Solve q*o**5 + 12\/17*o**2 + 14\/17*o**3 - 36\/17*o**4 + 0*o + 0 = 0.\nAnswer: -2\/5, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6593828?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**0\/n*n)**(-1\/25)\/(n*n**2)**(1\/2)*(n**(-2\/31)*n\/n**(2\/11)*n)**(-27) assuming n is positive.\nAnswer: n**(-833557\/17050)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -6 + 9. Let h = z + -2.8. What is the second smallest value in 2, 1, h?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/18 and 4\/((-112)\/(-146)) - -2?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -233 - -235. Suppose 3*h = 5*h + k*x - 340, -4*x = -5*h + 877. Does 174 = h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 5791, 23175, 52151, 92719, 144879, 208631, 283975?\n\"Answer: 5796*t**2 - 4*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-222)\/148)\/((-3)\/(-10)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/32*-17*16\/(-12).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/2)\/l*l)\/(l\/((l*l**(4\/15))\/l)))**(-15) assuming l is positive.\nAnswer: l**(67\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -2\/928191?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 189*m - 1659 = 110*m for m.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36146 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aan when three letters picked without replacement from nanann?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -199 + 327. Let w = 1154\/9 - g. Suppose 0 = l + 4*z - 2*z, -4*z = 0. Which is the closest to 0.2? (a) -1 (b) w (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -2*g**3 + 3*g**2 - 60*g - 161. Let a(f) = -f**3 + 2*f**2 - 60*f - 160. Let t(v) = -3*a(v) + 2*i(v). What is the first derivative of t(o) wrt o?\nAnswer: -3*o**2 + 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118140 is divided by 291?\nAnswer: 285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1136.9169 + -1137. Let y = 964.6971 + -965.3. Let b = y + w. Round b to one decimal place.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 1001?\nAnswer: -1012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 267077 and 226591?\nAnswer: 653","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/3 - 3*r - 10\/3.\nAnswer: (r - 10)*(r + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 16c8 - 166?\nAnswer: 1562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*l - 1064 + 430 = -279. Let r(b) be the third derivative of -b**6\/120 - b**5\/12 + b**4\/4 - b**3\/2 - b**2. Calculate r(l).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of b + 13*b**3 + 0*b**3 + 7 + 0*b**3. What are the prime factors of x(-1)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(2\/17)*b)\/((b**(-2\/21)\/b)\/b)*((b*(b\/(b*b*(b*b**(-2\/7))\/b*b*b*b))\/b*b*b)\/b)**(-1\/21))\/((b*b**(2\/5))**(-40)\/(b**(1\/3))**0) assuming b is positive.\nAnswer: b**(49432\/833)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.49999954 + 2.5. Round b to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 17 + -253. Let m = u - -236.0614. Let c = m + -0.06139607. Round c to six dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 3*m - 28, -m = -11*l - 23812 + 23792 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -93912*d - 3342 + 54 + 100142*d wrt d?\nAnswer: 6230","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 717*a**3 - 2*a**2 + 2. Let k be q(1). Suppose 4*w + 19 = 15, -5*g - 3*w + k = 0. Calculate the highest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1098 by -183.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1b67 + 283?\nAnswer: 200a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -14. Let o = 11 + k. Suppose o*g - 4 = 4*g. What is the remainder when g is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + (-5 - 0) - -8) + 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(17) + sqrt(153)\/sqrt(9))**2 - sqrt(17))*-6 + 0.\nAnswer: -408 + 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the first derivative of 55*y**4\/12 + 31*y - 32. Let g(f) be the first derivative of n(f). Let k(j) = -2*j. Determine k(g(m)).\nAnswer: -110*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -51 - -61. Let x(h) = -8*h - 4. Let z be x(-2). Suppose z*b - t*b = 158. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sv when two letters picked without replacement from sssvssvvvvss?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (89 - 2*n + 9*n - 97)*(0*n + n + 0*n).\nAnswer: 7*n**2 - 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -2*j**2 - 46272*j + 1761224 = 0.\nAnswer: -23174, 38","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -47*r + 3*r**3 - 442 + 442 + 47*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10976 is divided by 844.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -42, -383, -1384, -3399, -6782?\nAnswer: -11887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 909799 and 511.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mndmdsddmdxm. What is prob of picking 1 x, 2 m, and 1 s?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -22702059 or -22702053?\nAnswer: -22702059","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4290939 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -4723.62 to the nearest ten.\nAnswer: -4720","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -346 divided by 212137.\nAnswer: -346\/212137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -6 + 4 - 6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000447950312 to seven dps.\nAnswer: 0.000448","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -14*l - 19*l + 34*l. Let j(d) = d**2 - 6*d - 4. Let b(h) = j(h) + s(h). Let w = -6 + 12. What is b(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1, 0, -3, -8, -15, -24, -35?\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d - 12. Let q be a(-13). Let r be 414 + (-2)\/(3 - q). Let h = r + 256. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 - ((-13 - 0) + -72 + 95).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -7*k - 4. Let h(i) = 8*i + 5. Let a(d) = -6*h(d) - 7*j(d). Let m be a(4). Solve 2*p = -2 - m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5040 and 318960.\nAnswer: 2232720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 30912319 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24.9 - 102.\nAnswer: -77.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-1)*24\/(-30).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4818\/612)\/((-2470)\/(-87)). Let x = 5\/988 + q. Let l = -163\/85 - x. What is the common denominator of -18\/7 and l?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 415722, 831448, 1247178, 1662912, 2078650, 2494392?\n\"Answer: 2*s**2 + 415720*s","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -486*m + 490*m - 8*n - 38, -3 = -3*n for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -104*t + 238 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.0267761 and 2.5?\nAnswer: 2.5267761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6? (a) -3 (b) 1745 (c) 0.3 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b + 0*b = -5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w\/(w**(1\/2)\/w))**34*(w**1)**(-34))**(-1\/7))**(-30) assuming w is positive.\nAnswer: w**(510\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -8.8. Let h = q + 11. What is the nearest to 2\/3 in h, -5, 3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one twentieth of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10100000210 - -2?\nAnswer: -10100000201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 - 1. Suppose 2*m + p*h + 9 = -2*h, 4*h = -4*m - 24. Let i = -3 - m. Solve 3*o = o + i for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*t**5 + 194*t**4 + 3950*t**3 - 28114*t**2 - 63712*t + 400160 = 0. What is t?\nAnswer: -61, -41, -4, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 - 8*n**2 + 10*n + 7. Calculate f(7).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 7:05 AM?\nAnswer: 10:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4133 - 4138. Let k be (-6)\/(-2) + (-91)\/14. Which is the second smallest value? (a) 5\/2 (b) k (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 80 + -75. Let w(m) = -m**2 + 3*m - 2. Let q be w(2). Which is smaller: q or a?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**2 + 19*m + 17. Let f be x(-10). Suppose -226 + 35 = -3*j + s, 5*s - 116 = -2*j. Let h = f - j. Round h to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bvtvnitnntvvnyt. Give prob of sequence yi.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 4*j - 17 = 0, 17 = -4*p - 5*j - 18. Put -6, -2, p in decreasing order.\nAnswer: -2, p, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -1058*h**3 - 12*h**2 + 8*h. Let j(t) = -975477*t**3 - 11067*t**2 + 7378*t. Give -4*j(v) + 3689*p(v).\nAnswer: -1054*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 20972?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -232 divided by -2?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 plus -76149?\nAnswer: -76150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*v**3 + 8*v**2 - 4*v**3 + v - 11*v**3 + 19*v**3 in the form b*v**2 + x + r*v**3 + f*v and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lssf when four letters picked without replacement from {s: 3, f: 1, z: 11, l: 2, u: 2}.\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**3 - 13*k**2 + 20*k + 23. Let j be r(11). Let y(w) = 73*w**3 - 2*w**2 + 6*w - 5. Let x be y(j). Calculate the greatest common divisor of x and 198.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 986.8 + -992. Sort v, 0.5, -1\/5.\nAnswer: v, -1\/5, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r*r**(-2\/13))**(-6))**(1\/28) assuming r is positive.\nAnswer: r**(-111\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 36101 (base 7) to base 6.\nAnswer: 111035","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 16) to base 4.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -190388 less than 12?\nAnswer: 190400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -159*r + 12649 = 327*r + 200*r + 60669 for r.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 40228*j**3 + 2*j**2 + j + 1. Let n be h(-2). Let y = 581817 + n. Round y to the nearest one hundred thousand.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-42)*(-1)\/(-6)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3\/((5 - (-5060)\/(-1000))\/(1\/(-10)))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 9 - 2)\/(-3)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.08, 0.22, 2\/129, 39, 3\/5, -4, 0?\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3.24 - -0.24. Which is the third smallest value? (a) 5 (b) -5 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the third derivative of -u**6\/200 - 1831*u**5\/100 - 167811*u**4\/8 - 167445*u**3\/2 + 16*u**2 + 8*u + 5. Factor a(y).\nAnswer: -3*(y + 1)*(y + 915)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/5, 5, 7, 0.06, 6\/19, -1\/7, 1?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 89*y + 5*y + 19*y + 11*y - 124*y - y.\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 122 = -0*p + 5*p, 2*i = 3*p + 50. Suppose -b + 7 - 3 = 0. What is the highest common divisor of i and b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 2 - 2)*(10 - 2 + 15) - 2*p - 1 - 1 + 0*p.\nAnswer: -48*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**2 + 2*a - 5. Let f be c(-4). Let h = -103 + 97. Let o(g) = 3*g + 18. Let v be o(h). Put v, -2, f in descending order.\nAnswer: f, v, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ctstb. Give prob of picking 1 s, 1 c, and 2 b.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 18 + -9. Let p(r) = r**2 - 10*r + 6. Let t be p(f). Let l(j) = j**3 + 5*j**2 + j + 1. Is 8 a factor of l(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 2\/11, 36\/1679, -4\/261 in increasing order.\nAnswer: -4\/261, 36\/1679, 1\/7, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 8. Let a be v(-6). Let l be 5 - (-1)\/(a\/(-2)). Suppose 1 - 21 = -4*g. Solve -4*c = -g*d - 3*c + 15, 6 = l*d - 2*c for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 445228 (base 9) in base 13?\nAnswer: 94277","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(136)\/sqrt(8) - 5*sqrt(833).\nAnswer: -36*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6, 14, 28, 48, 74, 106, 144?\nAnswer: 188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, t: 3}. What is prob of picking 1 b and 2 t?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 608, -3\/26, -5, 0 in descending order.\nAnswer: 608, 0, -3\/26, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-20)\/(-8))\/(0 - (-11)\/22). Let a be (0 + 1)\/(2\/82). Solve -x*v = -4*k - a, k + 3*v + 5 = -4*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12936375 + 5.85275.\nAnswer: 12936380.85275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 345*h + 209634412 - 41412412. What is h rounded to the nearest one hundred thousand?\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 0 + 5)*-1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -2219, -2179, -2139, -2099, -2059, -2019?\n\"Answer: 40*l - 2259","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*p - 22*p + 4*p - 19*p.\nAnswer: -47*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 40 - -74. Suppose 2*r - q = 24. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 200 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -62 divided by 2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 4*h**2 - h - 1. Let k be m(1). Factor -15 + 2*g**k + 15 + 2*g**3.\nAnswer: 2*g**2*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-4)*75\/(15750\/60).\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l**5\/3 - 2*l**4\/3 - 2*l**3\/3 + 4*l**2\/3 + l\/3 - 2\/3 = 0. Calculate l.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, 5, -601 in decreasing order.\nAnswer: 6, 5, -601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + ((sqrt(108) - sqrt(108)*2) + -5 + 5)*2)**2.\nAnswer: 72*sqrt(3) + 441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of s**5\/60 + 15516*s**2. Let n(m) be the first derivative of -3*m**3 + 1. What is n(q(i))?\nAnswer: -9*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the second derivative of -u**7\/126 + u**6\/45 + 7*u**5\/60 + u**4\/9 + 98*u. Factor p(d).\nAnswer: -d**2*(d - 4)*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4858 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 6282 * -60.\nAnswer: -376920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.91 + -39.81. Let q = -39 - w. Is -22\/5 at most as big as q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2609*d - 3*r - 36 = -2603*d, 4*d - 60 = 5*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 80 + -29. Suppose 0 = 4*p - 2*h - g - 17, 3*h + 70 = 4*p. Let m = -14 + p. Calculate the lowest common multiple of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 261713147 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/7168 and -33\/35588224.\nAnswer: 284705792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 218556.\nAnswer: 2, 3, 13, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2*2\/8 - 9\/(-6). Suppose -16 + 20 = q*i. Factor 25*o - 58*o + i - 3*o**2 + 30*o + 2*o**3.\nAnswer: (o - 2)*(o + 1)*(2*o - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - 1b5?\nAnswer: -1b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -325 = -2*b + 275. Suppose 8*x - 7*x - 3*c - 147 = 0, -3*c - b = -2*x. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/(-18) + (-100)\/36. Let o be (-10)\/4*(r + -3). What are the prime factors of -1*(-1)\/(1\/o)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1347 or 1230?\nAnswer: 1347","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9286.\nAnswer: 2, 4643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 3931 = -2*v + 3923, 8 = -5*w - 2*v for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 12985?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 - -33. Let j be 5*(4 + (-90)\/c). Find the first derivative of -s**2 - 2*s**2 + j + 5*s**2 wrt s.\nAnswer: 4*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37483 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -148983\/7 - -21283. Sort -21, p, 4, -3, -0.2 in ascending order.\nAnswer: -21, -3, p, -0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 14 + -14.07. Let m = -0.17 - h. Which is greater: -6 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zxqp when four letters picked without replacement from pxxxppzpxxxqxppxxzq.\nAnswer: 3\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -23. Suppose 5*l = 3*v - 44, l = v - 4*l - d. What is the greatest common divisor of v and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.056523 take away 0?\nAnswer: 7.056523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 121\/48 - 137\/48. What is the nearest to -0.5 in -30, i, -2?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (10 + 3 - 2)*(-11*y + 0*y + 2*y)*(6 - 2 - 10) to the form p + l*y and give l.\nAnswer: 594","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*d**2\/11 + 1722097*d\/11 + 1033260\/11.\nAnswer: -(d - 344420)*(5*d + 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -40491919*a**5 + 426*a**2 + 8345?\nAnswer: -2429515140*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1624644406?\nAnswer: 2, 7, 11, 17, 620567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -25, 108\/25?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16155958 divided by -2.\nAnswer: 8077979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*s + 20*s - 1077. Let w = s - 3227\/9. Find z such that 2\/9 + 4\/9*z**3 + 2\/9*z**4 - 2\/9*z - 2\/9*z**5 - w*z**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -441530 and 5?\nAnswer: 441535","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2549.3 - 2540. Let d be 6\/8 + (-10)\/8. What is the second biggest value in o, 2, d?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 47*d - 61*d - 78 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(-48 - -58)*(23 + 0).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3675 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 142 and 781?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 633808 - 0.0627.\nAnswer: 633807.9373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 17, 2, 10, 26, -67, 5 in increasing order.\nAnswer: -67, 2, 4, 5, 10, 17, 26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*d**4 - 3*d**4 + 0*d**4 + (0*d**3 + 0*d**3 + 4*d**4)*(3 + 0 - 1) - d**4 + 2*d**4 - 2*d**4.\nAnswer: 8*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7868, -61367, -205430, -484973, -944912, -1630163, -2585642?\nAnswer: -3856265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2498 + 2287 - 4935 - 176*h**2 with respect to h.\nAnswer: -352*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 6*t**4 + 6*t**3 - 24*t**2 + 21*t - 6 = 0. Calculate t.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**3\/(((w\/(w*w**(6\/11))*w)\/w)\/w)*(w**0)**(-2\/183) assuming w is positive.\nAnswer: w**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 88.5 - 89. What is the closest to 1.2 in 2\/3, g, -3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 11*s - 24*s + 14*s - 26*s**2 in the form w*s**2 + a + v*s and give w.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 4*r**3 - 2*r**2 + 2*r - 2. Let d(v) = -3*v**3 + 2*v**2 - 2*v + 1. Let c(q) = -9*q**3 - 348*q**2 + 114*q - 121. Let a be c(-39). Give a*j(t) - 5*d(t).\nAnswer: -t**3 - 2*t**2 + 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 324 = -d. Suppose -d = w - 2*w. Suppose 5*b = 2*b + w. What is the highest common divisor of b and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4520 and 48816.\nAnswer: 244080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1804?\nAnswer: 2, 11, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + 43. Suppose -m = -2*l - 4*u, -l - u = -11 - 17. Is l a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**2\/8 + 24754*r + 99018.\nAnswer: -(r - 198036)*(r + 4)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 - (0 + -1)) + 4. Let f(u) be the third derivative of -u**6\/40 - u**5\/30 + u**4\/24 + u**3\/6 - 4*u**2. Let z be f(-2). Solve -5*c = -z - s for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 294 is divided by 276.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 + 6*v - 4. Calculate n(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 697939076 a multiple of 226?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-12)\/8)\/((-1)\/2). Let z be (-3)\/1 - (-1 + 0). List the prime factors of d\/z*(-1 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -36 divided by 30.\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j**3 - j**2 - 25*j - 2. Let c(p) = 5*p**3 + p**2 + 25*p + 4. Give 2*c(i) + 3*q(i).\nAnswer: i**3 - i**2 - 25*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - n - 16399995 = 0, i = -0*i - 4*n + 4100020. What is i rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*f**4 - 1477*f**3 + 169133*f wrt f?\nAnswer: -24*f**2 - 8862*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8\/491 - -1054\/4419. What is the closest to a in -5, -2\/15, 143?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -4*m + 5. Let j(g) = 11*g**3 - g + 2. Let s = 99 + -85. What is the lowest common multiple of s and j(m)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 + 11*l + 22. Let m be d(-9). Put 1, m, 5 in descending order.\nAnswer: 5, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 + 2 = -2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r**3 - 4*r**2 + 4. Is h(-4) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7997 + 11508. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13\/3 - 4. Let f = -0.4 - 2.6. Let j = f - -4. Does j = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 414 is divided by 183?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 - 6.06. Sort 2, y, -0.3.\nAnswer: -0.3, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2*c**3 - 11*c**2 + 16*c + 15. Let v(m) = -m**3 + 4*m**2 - 7*m + 34. Let a be v(4). What are the prime factors of n(a)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11 - -3) + (-13698)\/720 + 27.\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -106*g*l - g*r**2 - 2*g*r*w + 3*l*r**2 + 76*l*w + 4*w + 665 wrt l.\nAnswer: -106*g + 3*r**2 + 76*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine p so that -8*p**4 + 12226*p**3 - 2962648*p**2 - 2231926*p + 742956 = 0.\nAnswer: -1, 1\/4, 303, 1226","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.98 - -1.78. Which is the closest to 0? (a) -5 (b) -2 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(-2\/15))\/g)\/g*g\/(g\/((g\/(g**(-3\/8)*g))\/g*g)))**(4\/13) assuming g is positive.\nAnswer: g**(-7\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 685 divide 728719304?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (2 - 1)\/((-2)\/(-6)). Let n = 7 - 7. Sort 5, n, s in descending order.\nAnswer: 5, s, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) be the first derivative of 5\/4*y**4 - 9 + y + 0*y**3 + 0*y**2. What is the derivative of q(p) wrt p?\nAnswer: 15*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -57136*x + 115252*x + 15*x**3 - 58116*x.\nAnswer: 15*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 88340000 rounded to the nearest 1000000?\nAnswer: 88000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/(-12)*4\/(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*z = -97*z - 28. Solve z*f - x = 2*f - 12, 0 = 2*f + 5*x - 6 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3323886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2601 + -2600.85592. Round l to 2 decimal places.\nAnswer: 0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -1. Let b(o) be the third derivative of o**6\/90 + o**4\/6 - 5*o**3\/6 - 19*o**2. Let h(n) be the first derivative of b(n). Determine -h(g) - 5*z(g).\nAnswer: -4*g**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-345)\/200 - -2 - (-3)\/(-24)?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21305853859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rpxprpppfpfppxpr. Give prob of sequence pxrr.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 67073.\nAnswer: 4\/67073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 17*r**2 + 26*r + 72. Determine s(-3).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 26566471 to the nearest integer?\nAnswer: 5154","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -146*q + 72*q + 75*q + 3. Calculate b(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141 minutes before 11:57 AM?\nAnswer: 9:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/1095 or -1?\nAnswer: -1\/1095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -285, 0.092.\nAnswer: -285, -0.3, 0.092","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 2 = 11. Let i = 5 + -3. What is the smallest common multiple of i and (-2)\/6 - (-13)\/l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence htht when four letters picked without replacement from thhthhh.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.296 + 1.296. Sort 2\/11, y, 14\/13.\nAnswer: y, 2\/11, 14\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10392*g + 10392*g + 202*g**2.\nAnswer: 202*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*l - 10*l = 548. Let p = 249 - l. What are the prime factors of p?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 283634?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 44542136777 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) be the second derivative of p**7\/7 + p**3 + 23*p. Find the second derivative of b(k) wrt k.\nAnswer: 120*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -89 divided by -177618.\nAnswer: 89\/177618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 6 + 2)*(-11*i + i - i) + (-1 + 1 - i + (-6*i + 4*i + 4*i)*(4 - 2 - 1))*(-1 + 2 + 4) + 0*i + i - 3*i.\nAnswer: 14*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 952271190 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 126 - 67. Suppose 0 = 2*q - 8, -2*i - 5*q + b - 15 = 0. Solve -i = -7*f + 3*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.1 + 0.2. Let i be (-1 + 768\/15)*(-1 - 1). Let m = 101 + i. Which is the second smallest value? (a) -3\/5 (b) m (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2 + (1 + 5 - 4)*(0 - 3 + 5))*(-9 + 9 - 11*k**2).\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e and 1 x when three letters picked without replacement from {x: 4, w: 3, e: 5}.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 36.2407ml?\nAnswer: 0.0362407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 times -103951?\nAnswer: -4261991","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3.6 - 4. Let u = -0.6 + j. Suppose -4*d - 5*s + 7 + 26 = 0, s = 4*d - 3. Sort u, d, 0 in descending order.\nAnswer: d, 0, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 296075c (base 13) to base 4.\nAnswer: 302032310021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -69? (a) -1\/4 (b) -25 (c) -4 (d) -3 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -394774 or -394735?\nAnswer: -394735","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*u + x - 13, 24 = 4*u + 4*x - 0. Suppose -3*g + 20 = -u. Calculate the lowest common multiple of g and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*z**2 - z**2 - z**2)*(2*z**3 + 4*z**3 + 2*z**3) + 6*z**5 - z**5 - z**5.\nAnswer: 28*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -77*c**3*r**3 + 234*c**3*r - 7*c**2 + 22*c*r - 1660604*r**3 + 551*r**2 wrt r?\nAnswer: -462*c**3 - 9963624","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -85, -139, -249, -445, -757?\nAnswer: -1215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -441107 - 1097203 = -10910*w for w.\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 7*f**2 - 443*f - 141. Calculate the remainder when j(64) is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 54 + -55. Let p = 6 - 4. Let h(k) = -2*k**4 + 2*k**3 - 2*k**2 - 13. Let f(o) = o**3 - o**2 - 1. Let l(s) = n*h(s) + p*f(s). Differentiate l(b) wrt b.\nAnswer: 8*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3.7 (b) -1\/3 (c) -2.7 (d) 31 (e) 0.05\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 778627 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -290, -436, -578, -716, -850, -980?\nAnswer: -1106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 12*t - 5. Let l be v(2). What is the derivative of l - 17*m**2 + 10*m**2 + 0*m + 0*m wrt m?\nAnswer: -14*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 4 (b) -0.22 (c) 456 (d) 82\/7 (e) 2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 4*d - 72 = 0. Calculate the remainder when 70 is divided by d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/5)*t)**(14\/5)\/((t*t**3\/t*t)\/(t\/(t**(-8)\/t))) assuming t is positive.\nAnswer: t**(192\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 3, -29.9, -2, 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 87862135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13*i**2 - 39*i**2 - i + 12*i**2 + 0*i + 13*i**2 - 2 to p*i + s + y*i**2 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/22 + (1885\/143 - 17))\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 3109 = 3*d, -5*d = -4*o + 3511 - 404. What is the least common multiple of o and 10?\nAnswer: 3890","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-108)\/(-294)*(-210)\/(-45))\/((-16)\/(-56)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -335, -333, -331, -329, -327, -325?\nAnswer: -323","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p and 2 j when four letters picked without replacement from {o: 1, j: 3, w: 4, z: 4, p: 2}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 181 > 3283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of 0*a**4 - 8 + 4*a - 1\/2*a**3 + 33\/10*a**5 + 5\/2*a**2. Find the second derivative of u(x) wrt x.\nAnswer: 396*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -25686629 - -2?\nAnswer: -25686627","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**5 + 240*w**4 + 1916*w**3 - 19296*w**2 - 29808*w + 117504 = 0. Calculate w.\nAnswer: -48, -17, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 + 2*m**2 + 3*m**3 + m + 0*m**2 - 2*m**2. Let d be k(1). Solve -2*i = -d*s + 13, 0*s - 4*s - i = -21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in -7, 1\/61, -19, 2?\nAnswer: 1\/61","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**3 + 0*l**3 - 4*l**3)*(l + l**2 - l) + 6*l**5 + 3*l - 3*l.\nAnswer: 4*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the third derivative of -k**4\/24 + k**3\/3 - k**2 - 10*k. What is h(2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 24 = -4*s + j, 0 = 4*s - 5*j - 36. Suppose -3*u = -6, -10 + 35 = 3*t + 5*u. Suppose 0 = -t*x + 22 + 18. Solve 8 = s*f - x for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10 + -1)*-1 + 0. Let r be c*(2 + 0 + -1). What is the greatest common factor of 22 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = c - 2*c, -16 = 2*c + 4*m. Let u be (-3 - c)\/(-3 - -4). Let k be u*(11 - -2)*(-2 + 4). Solve 0 = -3*r + 3*o - 1 - k, -3*o + 37 = -5*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 378724?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15674 and 16.\nAnswer: 125392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 2 - 4)*(338 + 2*l - 309 - 3*l).\nAnswer: -2*l + 58","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 108157*a**3*s**2 + a**2*s**2 - 12*a**2*s + 1177*s wrt a.\nAnswer: 648942*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = -8*j, -6 = 3*k - 3*j. Let x be 12\/30 - (-488)\/5. Put x, k, 0 in ascending order.\nAnswer: k, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -125 divided by 122471.\nAnswer: -125\/122471","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 164785140 a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*f + 0 + 2\/7*f**2 + 0*f**4 - 3\/7*f**3 + 1\/7*f**5.\nAnswer: f**2*(f - 1)**2*(f + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -14099, -14912, -15725?\n\"Answer: -813*i - 13286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2920?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = 5*w. Let i = w - -1. Let b = i - -2. Let u(g) = g**3 - 3*g**2 + 1. Determine u(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in seven halves of a millennium?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 2*l**2 - 367*l - 5108. What is f(-13)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-6)\/(-9) + (-22)\/24. Sort 2, -1, x in increasing order.\nAnswer: -1, x, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p - 3. Calculate d(5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = r - 41, 16356 - 8171 = -7*r - 5*m + 8175 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2200000 = -13*a + 9*a. Round a to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k**3 + 6*k**2 + 2*k. Let l(z) = -z**2 + z. What is g(s) + 4*l(s)?\nAnswer: 5*s**3 + 2*s**2 + 6*s","meta":{"dup_signals":{},"source":"polynomials__add_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: What are the prime factors of 33096?\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 87 = -15. Suppose -3*m = 5*j - 191, 0 = 2*m + b*j - j - 129. What are the prime factors of m?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m + 1 - m**3 - 49*m**2 + 51*m**2 - 5*m**3 to the form u*m**3 + a*m**2 + j*m + r and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 232 - 218. Solve 9 = 3*n + 4*w, -p = 5*n - 2*w - w for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -249643 or -2\/191?\nAnswer: -249643","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k = -16*k - 36. Let s(a) = a + 1. Let o(r) = 2*r + 3. Give k*s(q) + o(q).\nAnswer: -2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 114 is divided by 60?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**2 - 15*h - 26.\nAnswer: -(h + 2)*(h + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 181 + 65. Let h = k - 144. Suppose 90 - 30 = 4*f + 5*v, 4*f - 5*v - 60 = 0. What is the remainder when h is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j**4\/2 + 8014*j**3 - 50714989*j**2 - 663776275218*j + 6860326340905569\/2 = 0. What is j?\nAnswer: -13951, 5937","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j\/(j\/((j**(-1\/3)*j*j)\/j*j))*j)*j)**(-1\/16))**38)**(-1\/5) assuming j is positive.\nAnswer: j**(-19\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -1. Let j = -366521307 - -366521302.99999942. Let g = j + i. What is g rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -946.2 rounded to the nearest ten?\nAnswer: -950","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 34767203\/3 or 11589068?\nAnswer: 11589068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 3*z - 9. Let b be u(9). Suppose 0*d - b = -d. Does 7 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/14 + 17\/(2499\/497).\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -100 + 98. Let r = 2 - -1. What is the third biggest value in 8, r, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5768?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -4 (c) 7227.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-3*(sqrt(68) + (sqrt(68) - (sqrt(68) + (sqrt(68) - (sqrt(68) + -4*sqrt(68)*-5 - sqrt(68))))) + sqrt(68)))\/((sqrt(56)\/sqrt(343))\/sqrt(2)) + -1.\nAnswer: -441*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 53499?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m - 1 + 1)*(-m**3 - m**3 + 4*m**3) + 296*m**4 - 127*m**4 - 110*m**4 + 7*m**4 + 6*m**4 - 5*m**4.\nAnswer: 65*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 2, h: 1, n: 1, c: 1, o: 11, b: 4}. What is prob of sequence hmo?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 4*w**2 - w. Let f be s(4). Sort 43, -1, -2, f in descending order.\nAnswer: 43, -1, -2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o + 2*o - o**3)*(90705 + 3*o - 178592 + 89401).\nAnswer: -3*o**4 - 1514*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 687250663?\nAnswer: 11, 62477333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 95*r**2 + 98*r**2 - 184*r**2.\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the third derivative of -j**6\/360 - j**5\/60 + 2*j**3\/9 - 7*j**2. Factor x(n).\nAnswer: -(n - 1)*(n + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -1, 574, 5?\nAnswer: 574","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 60 - 62. Let q(n) = n**2 - n - 6. Let s be q(x). Suppose d - 1 = -s*d. Which is bigger: d or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -5*i**3 - 5*i**2 + 5. Let p(m) = -16*m**3 - 16*m**2 + 16. Let a be -2 + 20 + 1\/1. Let s = a - 9. Calculate s*w(c) - 3*p(c).\nAnswer: -2*c**3 - 2*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*y, 0 = 3*j + y - 5315 - 30223. Is 48 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 14053000 to the nearest one million.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -1. Let r(k) = -6*k - 60. Let x(j) = 3*o(j) - r(j). Let g be x(-9). Calculate the greatest common factor of g and 87.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*p**2 + 4*p**3 - p**3 + 49 + 644*p - 49 - 5*p**3 = 0. What is p?\nAnswer: -46, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -63*u. Let t(a) = 3*a - 2527 + 1252 + 1275. What is t(z(y))?\nAnswer: -189*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = j**3 - 6*j**2 - 20*j + 24. Give p(8).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9901 or 9900?\nAnswer: 9900","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 3520244?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(120)\/sqrt(6))\/sqrt(10)) + (sqrt(17) - (sqrt(17) + -5 + sqrt(17) + (sqrt(17) - sqrt(51)\/sqrt(3)))) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3223 (base 4) to base 10.\nAnswer: -235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d + 2*f, 4*d + 0*d = -2*f + 2. Suppose -2*w = -8*n + d*n + 105, -5*w = n + 276. Which is smaller: 0.2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 - 11610*p + 11615.\nAnswer: -5*(p - 1)*(p + 2323)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 - (-25 - (-21 - -9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**4 - 9*q**3\/2 + 125*q**2 + 16*q + 3. Is d(8) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001487652 to 7 decimal places.\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 9:37 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -56*x**2 + 6*x + 7. Suppose -4*v + 3*f + 84 = -5*f, -3*v + 49 = -4*f. Let t(z) = -19*z**2 + 2*z + 2. Calculate v*t(n) - 2*h(n).\nAnswer: -21*n**2 + 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 - 1190 = -k. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 2, n: 1, e: 4}. What is prob of picking 1 e and 2 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2338c1c (base 13) to base 8\nAnswer: 51363751","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-49)\/(-14)*(11 - 1). Suppose -b*r + 47232 = -3*r. What are the prime factors of r?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 l when three letters picked without replacement from lglltgtlllggttlltllt?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4634 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -22*j + 193. Let k be d(9). Sort k, 14, -2, 0.\nAnswer: k, -2, 0, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 48.9 + 0.1. Let w = b - 49.01. Let p = 18 - 18.5. Sort w, p, 2\/3, -1\/3 in decreasing order.\nAnswer: 2\/3, w, -1\/3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1766459?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) be the first derivative of -8*t**3 + 3*t + 3 + 23\/2*t**2. What is the second derivative of z(a) wrt a?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(-6)\/20*(-4)\/(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12*((-2)\/6)\/(2\/6). Let i = j + -14. Let s be (9\/(-18))\/((-1)\/i)*-1. Solve -3*h = -2*h - s for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1251325, -1251330, -1251339, -1251352, -1251369?\nAnswer: -1251390","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (30\/(-195))\/((-243)\/117).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 1 + 4 - 531*q**2 + 97*q**2 - 242*q**2 to k + f*q**2 + r*q and give k.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -571232 divided by -285616.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yyyy when four letters picked without replacement from yyyyzjyyyyzjjzyayaja.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3\/3 + 164*b**2\/3 - 161*b\/3 - 326\/3.\nAnswer: -(b - 163)*(b - 2)*(b + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - k = 17, -7*j + 3*j = 3*k - 29. Suppose 4*p = y + 78 + 156, 0 = -4*y + 8. Suppose p + 121 = 9*h. What is the highest common divisor of j and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 129.555 + -2\nAnswer: 127.555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:40 PM and 1:58 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (42*y + 81*y + 172*y)*(0*y - 1 - 2*y + y) in the form i*y + t + l*y**2 and give i.\nAnswer: -295","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 162653 and 933.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 208861 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1323)\/5 + (-3)\/(-5). Let r be (c\/(-9))\/(3\/9). Let z be (-3 - (2 - 10))*r. What is z rounded to the nearest one hundred?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 7*k - 5*p = 0, -3*k = -4*p. Let x = 29\/21 - 179\/84. Which is the closest to 0? (a) x (b) k (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1733*0.51\nAnswer: -0.088383","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -13.8, -0.3, -3, -1.9, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -befd (base 16) in base 7?\nAnswer: -262355","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, d: 2}. What is prob of sequence tttt?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-4)\/(-19))\/(-2 + -3 - -3). Which is the nearest to 0.1? (a) -1\/3 (b) -2 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**4 - y**3 - y**2 - y + 1. Let x(o) = 7*o**4 + 40*o**3 - 3*o**2 - 2*o + 5. Let d(w) = 5*c(w) - x(w). Find the third derivative of d(n) wrt n.\nAnswer: -48*n - 270","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 357270000 to the nearest 1000000.\nAnswer: 357000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 163, 1121, 3725, 8827, 17279, 29933, 47641?\n\"Answer: 142*i**3 - 29*i**2 + 51*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/12870 and -59\/126?\nAnswer: 90090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*h - h + 3*h)*(-159*h - 42*h**2 + 159*h) to the form g + r*h**3 + b*h + w*h**2 and give r.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 253*o + o**3 - 61*o + 271*o - 3*o**3 + 84*o as s*o + u + j*o**3 + b*o**2 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3117 divided by -3117\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -42, 1, -1, -25 in descending order.\nAnswer: 1, -1, -25, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76 + 85. What is the derivative of -1 + 0 + o + 18*x wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5 and 19265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -31002230440 + 3?\nAnswer: -31002230432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**12\/a**(-1\/24))\/(a**(-5\/8)\/(a\/a**(-9))) assuming a is positive.\nAnswer: a**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -48 + 55. Let w(l) = l**2 + 8 + 3*l + 13 - 35 + c. Determine w(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -49089 + 318550. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -259*v + 1663*v - 4212 = 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1*(0 + 0))\/(-1). Suppose p = -0*p. Suppose p = -s - 4*s. Is x at most s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -2*h**3 + h**2 - 2*h - 3. Let a be l(-1). Let u(q) be the second derivative of 1\/2*q**3 + 2*q**a - 2*q + 0. What is the derivative of u(b) wrt b?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 8) to base 2.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 (base 13) in base 2?\nAnswer: -101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -5034*z. Let n(h) = -26*h**2. What is g(n(t))?\nAnswer: 130884*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*m + 204 - 204)*(2*m**3 + 2*m**3 - 5*m**3 + 15*m - 15*m + 16*m**3 + (-m**2 + 5*m**2 - 2*m**2)*(-4*m + 1 - 1)).\nAnswer: 28*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -28 - -31. What is the third derivative of -23*n**2 + 7*n**2 + n**6 - 5*n**6 + a*n**2 wrt n?\nAnswer: -480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 15\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 7*g**2 + 3950*g - 163410. What is a(-603)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (0 - 24) + (-11 + 16 - -3) + -5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*i - 20*i - 121431 = -127731 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 14*g**2 + 3*g - 3. Let b(k) = 9*k**2 + 2*k - 2. Let l(h) = h**3 - h**2 + 6. Let y be l(0). Let f be 16\/y*5\/((-10)\/6). Calculate f*b(r) + 5*m(r).\nAnswer: -2*r**2 - r + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 29, 57, 81, 101, 117, 129, 137?\nAnswer: 141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -y**6\/10 - 7*y**4\/4 + 19*y**2\/2 - 100*y + 9. Let n(c) be the first derivative of h(c). Differentiate n(d) wrt d.\nAnswer: -12*d**3 - 42*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -13895?\nAnswer: -4\/13895","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -10*r**2 + 217*r + 2784. What is a(-9)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*n - 20*n**2 + 4*n**3 + 27*n - 16 - 19*n = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-2\/15)\/i*i*i**(2\/7)\/i assuming i is positive.\nAnswer: i**(-89\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 2036, 2037, 2038?\n\"Answer: h + 2035","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 70 and 115?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the third derivative of g**8\/336 - g**7\/420 - g**6\/72 + g**5\/60 + g**3\/2 - 2*g**2. Let k(q) be the first derivative of p(q). Factor k(y).\nAnswer: y*(y - 1)*(y + 1)*(5*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**2 + 0 + 0 - 6*v**2 - 8*v**2 + 33*v**2 + (-2*v**2 + 3*v**2 + v**2)*(-5 + 1 + 3) - 68 + 3*v**2 + 68.\nAnswer: 16*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-216)\/(-168)*4\/36*-3.\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 26672, 106317, 238944, 424553, 663144, 954717?\nAnswer: 1299272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3\/2 (b) -1 (c) 1 (d) -36\/5879 (e) -2\/21\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -55*x + 221 + 109 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -257*t + 232*t - 400 for t.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 6*x**2 + x + 5. Let c be u(-6). Let v(l) = 2*l**2 + 17*l + 16. Let f be v(-7). Let w be 2 + 1 - f\/(-1). Which is greater: c or w?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 3*k = 3, 2*n = 5*k + 2 - 6. Let m be 548\/36 + 2\/(-9). Suppose g = m - n. What is the greatest common factor of 30 and g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 251 - -1192. What is the greatest common factor of r and 555?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - ((-12 - -6) + -1 - -1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11598 divided by 6?\nAnswer: -1933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*l**3 + l**2 + 43*l**4 - 84*l**4 + 2 - l + 2*l + 43*l**4 in the form w*l**3 + s + y*l**4 + m*l**2 + i*l and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 772184299?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 8. Let h be u(9). Let w(k) = k**2 + 3*k - 2. Let y be w(h). Suppose -4 = -q + y*q, p + 3*q + 6 = 0. Let r(d) = d - 8. Calculate r(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3088 - 3088.2. Which is the biggest value? (a) 1\/5 (b) r (c) 0.1 (d) -3 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.0105 (b) -0.4 (c) -84\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i - 6. Let g(w) = -w**3 - 8*w**2 + 8*w - 18. Let c be g(-9). Give l(c).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.01773 - 2.16473. Round h to 2 decimal places.\nAnswer: -2.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 520 = z, 5*t - 5*z - 970 = 1650. Let m = t - 353. What is the units digit of m?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 580\/28 + 6\/21. Let i = d + -18. Solve -4*k = 16, 0*m + 17 = m - i*k for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3857788.47 to the nearest one thousand.\nAnswer: -3858000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 101 + 34343?\nAnswer: 34444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(20\/(-55)) + -18 + 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 5*p = -130, 4*p - 26 = l - 0*p. Let r be (-4)\/l + 40\/(-52)*-5. Let d = 7\/55 - -3\/11. Which is the nearest to 0? (a) d (b) 5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.7 - -9.7. Suppose 0 = -0*z + z + 1. Which is the closest to -1? (a) s (b) 0.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 19988\nAnswer: -479712","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 5*z**2 - z + 2. Let i = -33 + 33. Suppose -p = 5*n + 29, -8 = 4*n - 3*p - i*p. Determine o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5772456 (base 10) to base 9.\nAnswer: 11767280","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 12) in base 11?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 569260417?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*l = -11*l + 8*l - 72 for l.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 1253, 1707, 2477, 3563, 4965?\n\"Answer: 158*v**2 - 20*v + 1115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 3340*w + 6. Let n(l) = 7*l. Calculate i(n(y)).\nAnswer: 23380*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**2 - 11*q + 37. Let o(y) = y**2 - 58*y - 3399. Let d be o(-36). Determine t(d).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((7 + 0 - (69 + -57)) + 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2081.179 + 927?\nAnswer: -1154.179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 4*v, -11 = -p + 5*v - v. Let z = 155\/4 - 39. Which is the closest to z? (a) p (b) 2\/5 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 53*x**2 + 2*x - 15. Let f(n) = 7655 - n - 3822 - 13*n**2 - 13*n**2 - 3826. Determine 13*f(l) + 6*h(l).\nAnswer: -20*l**2 - l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 22766 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 37166353.8 rounded to the nearest 100000?\nAnswer: 37200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 5249 + 175872.6785\nAnswer: 181121.6785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 0, 8, 12, 6, -16?\n\"Answer: -k**3 + 4*k**2 + 3*k - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhu when three letters picked without replacement from kkkkvubkh?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 647791 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68850015.\nAnswer: 3, 5, 13, 19, 18583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i\/(i\/i**(-1\/4))*i)*i**(-9))\/(i**(-2\/3)*i**(-1\/5)\/i) assuming i is positive.\nAnswer: i**(-413\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*x**4 + 2*x**4 + 0*x**4 + (-3*x**2 + 4*x**2 - 3*x**2)*(1 + 2*x**2 - 1) + 2*x**2 - 5*x**4 - 2*x**2 - 43*x - 61*x + 45*x + 5*x**4.\nAnswer: -6*x**4 - 59*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2972522240 to the nearest integer?\nAnswer: 54521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(7) - 1*sqrt(7))*-1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3297 - 3297.0005209. What is u rounded to 4 decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/56 + -59\/168. Let l be (-2)\/3 + ((-644)\/(-147))\/4. Which is the closest to 2? (a) l (b) -1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, -4, 24 in decreasing order.\nAnswer: 24, 0.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -1\/3, 1.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2. Let j(l) = -44*l - 2. Let u be (3 + -2)*0\/6 - -3. Let i(t) = -45*t - 2. Let k(y) = u*i(y) - 4*j(y). Calculate b(k(f)).\nAnswer: -1681*f**2 - 164*f - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 12120021 (base 3) to base 8\nAnswer: 7731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -3\/73, -0.4, 34, 2\/3, -0.5 in descending order.\nAnswer: 34, 2\/3, -3\/73, -0.4, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 5, -0.45, -4, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(-3\/8)*f*f*f**(3\/14)*f)**8)**(-11) assuming f is positive.\nAnswer: f**(-1749\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 387, 1556, 3473, 6114, 9455, 13472, 18141, 23438?\nAnswer: 29339","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 10*p - 54. Calculate w(13).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 5 = r, 0 = -2*r - 3*r + 2*p - 2. Solve -5*x + 44 - 19 = r for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (12 + 2 - (-33 + 37)) + (-47 - 1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**23)**42 assuming m is positive.\nAnswer: m**(-924)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the first derivative of a**5\/20 - 5*a**4\/12 - a**3 + 7*a**2\/2 + 17*a + 18. Let r(f) be the first derivative of n(f). Determine r(6).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 - 2 = 23*a. What is the remainder when 19 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-10) + (-4758)\/(-65). Suppose -75*w + l + 4 = -n*w, -2*l = 2*w - 4. Solve -2*b + w*o - 2 = -0*b, 5*b + 5 = -o for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*y**2 - 14*y**2 + 7*y**2)*(-7*y**2 + y**2 + 3*y**2 + 6).\nAnswer: 36*y**4 - 72*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 181*z + 25. Let c(b) = 270*b + 35. Let t(a) = 5*c(a) - 7*i(a). Let p(k) = 4*k**2. Give p(t(m)).\nAnswer: 27556*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let h = -457 - -466. Suppose 24 = -25*n + 29*n. Solve h*o - n*o = -6 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m - 4*n - 269415 = 6585, 4*m - 2*n = 275986. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63) + 0 + sqrt(9072) + sqrt(63) + -3*sqrt(567)\/sqrt(9))**2.\nAnswer: 7623","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52354020 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l - 225 = -240. Suppose -l*s - 52 = -7*s + 4*z, 4*s + z = 67. Solve -7*f + 3*f = -s for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 110*b = 128*b + 18 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -29) + (397 - 387)\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/4 of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (480\/(-18))\/(-20) + (-5)\/3. Suppose 6*j + 33 = 3. Which is the biggest value? (a) r (b) 0 (c) j (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -3*g**2 - 14*g + 569. Let d(u) = 6*u - 288. Calculate -5*d(w) - 2*i(w).\nAnswer: 6*w**2 - 2*w + 302","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 0.04307.\nAnswer: 2.04307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**4 + 3 + 2*q**2 - 1 + 2*q**4 + 4 to the form k*q**4 + x*q**2 + m + s*q + d*q**3 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1 - 0. Let q = l + 12. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 342*k - 20956. What is y(61)?\nAnswer: -94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 153 minutes after 5:41 PM?\nAnswer: 8:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*j - 4, o + 3*j + 2*j - 17 = 0. Solve 0 = 5*l - 3*h - 35, 4*h + o + 2 = l for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 284409531 and 13671?\nAnswer: 1953","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -a - 5*n + 52, 0*n = a + 4*n - 51. Let i(v) = 0 + 3*v**2 - 4*v - 4 - v**2. Calculate the remainder when a is divided by i(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + sqrt(605) + sqrt(605))*3.\nAnswer: -132*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 11*a + 10 + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*n = 16*n - 10 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 91 + -92. Let f = -0.15 + -0.3. Let g = f - -0.05. Which is the second biggest value? (a) 1\/3 (b) j (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188388?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d + 3156 = 2956 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*10\/(-70)*(106\/(-2915))\/((-4)\/10).\nAnswer: -1\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3\/8 + 69*r**2\/2 - 999*r\/2.\nAnswer: -3*r*(r - 74)*(r - 18)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 25\/4 of a litre?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4634ml to litres.\nAnswer: 0.0024634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v - 2*v - 11*v**3 + 19*v**3)*(0 - 1 - 1 + (6 - 3 - 1)*(3 - 1 + 0) - 2 - 3 + 1).\nAnswer: -16*v**3 + 4*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 - 5 - 10)*(3*q - 3*q + 3*q)*(8*q**2 - 84*q + 84*q) in the form u*q**2 + n*q + c*q**3 + f and give c.\nAnswer: -264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4 + 3 + k - k**2 + 3. Let q be m(2). Suppose q = -4*s - 4. Are s and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of 3*i**2 + 1\/6*i**3 + 11*i + 0. Calculate o(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 13) to base 4\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:30 PM and 6:09 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3\/4 + 12339*z**2\/4 - 165591*z\/2 + 220644 = 0.\nAnswer: 3, 24, 4086","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.24 + 1.76. Let p = c - 1.9. What is the nearest to p in 2\/7, 5, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.18 + -0.12. What is the closest to 2 in f, 4, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 242.95 - 249. Let f = q + 0.05. Let g = 148 + -150. Which is bigger: g or f?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:14 PM and 4:53 AM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152)\/sqrt(4)*-6)\/sqrt(2).\nAnswer: -6*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 70 + 368?\nAnswer: 438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 17*l - 5. Let y(x) = -33*x - 79*x + 48 - 50*x. Give 48*n(k) + 5*y(k).\nAnswer: 6*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1\/50495809 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 61 + -39. Suppose 5*c + 7*t - 34 = 5*t, 3*c - 5*t = 39. What is the remainder when f is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.3 times 1.52975?\nAnswer: 1.988675","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from usayk. Give prob of sequence au.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15 + -10. Suppose 5*h - 190 = -l*m, 3*h - 3*m = 2*m + 82. What is the greatest common factor of h and 136?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147 = -4*h + 11*h. Let d = h + 55. What is the remainder when d is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 79043?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -15*i + 384. Is u(18) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**2 - 4*o**2 - 3*o**2)*(1 + 2*o**3 - 1 + (13*o**2 - 68 + 68)*(2*o - 1 + 1) + 20 - 20 + 4*o**3).\nAnswer: -64*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -3*w**5\/2 - 43629*w**4\/2 - 261681*w**3\/2 - 218019*w**2\/2 + 261666*w = 0.\nAnswer: -14537, -4, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2127\/6184 + 24\/773. Which is smaller: 20\/37 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279875 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*t**3 + 0 - 206\/5*t**2 + 0*t.\nAnswer: -2*t**2*(t + 103)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 12:35 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 738119 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**4\/7 - 8822*o**3\/7 + 1827268*o**2\/7 + 527120*o = 0. Calculate o.\nAnswer: -2, 0, 220, 4193","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*w - 330*w + 167*w = -467364. List the prime factors of w.\nAnswer: 2, 3, 29, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.63 * 2.279372.\nAnswer: 1.43600436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 42064 (base 11) in base 5?\nAnswer: 3430141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 38289 - 1087. What is the ten thousands digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -90*s - 1527. Calculate u(-17).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-7650)\/595)\/(-15)*((-84)\/(-486))\/((-2)\/2)\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 3, r: 2, j: 1, g: 1}. What is prob of sequence gjr?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - n = -93, 0 = 4*b - 0*n - 4*n - 88. Suppose -39*o + b*o = -64. Solve o*r = 4*k, 2*r - 7*r - 6 = k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 divided by 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 0 - 2*x**2 - x**4 + 2*x**2 - 1 + 3*x**3 in the form a*x**3 + j*x + c + s*x**2 + l*x**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**2 - 3922*l + 15683. Determine a(4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - i - 2*i - 60 = 0, 0 = -b - i - 14. Let x be (b\/42)\/(3\/4). Let q = -31 + 91\/3. Which is greater: q or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.06 + 0.94. Let d = -3 - 2. What is the nearest to u in -0.3, d, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31493 (base 10) in base 14?\nAnswer: b697","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006219 to three dps.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -k**3 + 5*k**2 + 6*k + 8. Suppose -24 = -l - 3*l. Does 4 divide b(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 1539*l - 52. Let a(b) = 4. Let i(t) = 3*a(t) + p(t). Is i(9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 3993\nAnswer: -3995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 4 = -5*c, 3*v + 4*c - 2026 = 0. Is v a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i - 22. Let q be u(-3). Which is greater: q or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1738467949 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 3502, 6982, 10462, 13942, 17422?\n\"Answer: 3480*j + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11141034203204 - -3?\nAnswer: -11141034203201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 + 3*a - 4. Calculate v(-5).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g + 11. Let o(h) = -h - 5. Let s(w) = -3*d(w) - 5*o(w). Give s(15).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the second derivative of -2*p**6\/45 - 11*p**5\/60 + 7*p**4\/36 + 11*p**3\/18 - p**2\/2 - 9*p. What is d in h(d) = 0?\nAnswer: -3, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b (base 14) in base 3?\nAnswer: 1222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 1005, 1025, 1045, 1065, 1085, 1105?\n\"Answer: 20*r + 985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*z + 92 = 3*z. Solve -3 = -z*g - 3*a, -187*g + 183*g - 4*a = -4 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h**2*(h*h**(2\/7))\/h*(h*h**(2\/9)*h)**8 assuming h is positive.\nAnswer: h**(1264\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2956, -3180, -3260, -3124, -2700, -1916?\n\"Answer: 12*p**3 - 308*p - 2660","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of 3*j**3 - j - 1. Let i(f) = -2*f**2 + 112. Let d(h) = 8. Let a(p) = -14*d(p) + i(p). What is q(a(l))?\nAnswer: 36*l**4 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -505*h - u - 342 = -507*h, -2*h - 2*u = -360. What is the highest common factor of 667 and h?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 11 - 157*p + 5 + 13 - 29. Let h(z) = -2*z. What is h(a(u))?\nAnswer: 314*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-34)\/(-4) - 7)\/(6\/2687548) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 72\/10*(-4635)\/3708.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a*j*t**3*v + 10*a*j - 3*a*t**3*v + 2*a*t*v - 14*j*t**3*v - 3*t**3*v wrt j.\nAnswer: 2*a*t**3*v + 10*a - 14*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 21 = -0. Suppose -3*w - 2*z + 230 = 0, 3*w - t*w + 300 = 4*z. Let j(k) = -k + 10. Let q be j(0). What is the highest common divisor of q and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 10290563 to the nearest integer?\nAnswer: 218","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbjjbbbbbjb. What is prob of picking 2 j and 2 b?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) be the second derivative of 0*p**4 - 2*p + 1\/35*p**5 + 0*p**2 + 0 - 2\/21*p**3. Determine y, given that m(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 56\/6873 and -103\/54.\nAnswer: 123714","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9927*x**2 - 10899*x**2 - 7 + 18 - 5.\nAnswer: -20826*x**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 383 - 1631 = -3*w, -4*p = -4*w + 2712. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = y + 7. Let k be w(-5). Suppose p + p - p + p**k = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.4 + 10. What is the third smallest value in z, 1\/9, -4?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 64 + (-6 + -5 - -1).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -3*m. Suppose 3 = 2*s + s. Suppose -4*j + i = 4, -s = j + i - 0. What is the remainder when 9 is divided by u(j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 21106.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = -9*w + 13*w. Let j(i) = i**3 - 12*i**2 - 13*i + 34. What is the remainder when 95 is divided by j(w)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a = 3*w - 683, 8*w = 9*w + 2*a - 224. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1037409 to the nearest integer?\nAnswer: 1019","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2.094 from -0.0145953.\nAnswer: -2.1085953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 41*z**2 + 107*z + 153. Determine c(-1).\nAnswer: 87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-34)\/(-68)*(-7 + 6)?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) 4 (c) 3\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 612*v = -408*v + 161*v - 10308 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 40 = -2*b + 14*w, -19 = -3*b - 3*w - 31 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2664, 2669, 2674, 2679, 2684?\nAnswer: 2689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4522 + 4531. Suppose -15 = -5*n - q, -4*n - 2*q + 15 = -3. Solve 2*x = i + r, 2*x = -n*i - x + 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from sssssssspsss?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*s + s + 0*s)*(-3*s + 5*s - s) + 4*s - 4*s - 2*s**2)*(2 - 2 - 1).\nAnswer: 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 14 + 1 = 0, -m = -5*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 5*s = -8029 + 7914, -47 = -2*o + 3*s for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 4*g = -g - 18, -5*m = 4*g - 30. Does 16 divide 2\/m - 380\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-2)\/(-5))\/((-3)\/(-15)). Suppose -21 = -2*q - q. Suppose 10 = -z*b + q*b. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -64 + 129\/2. Let v = 1 + -1.4. What is the nearest to u in -3, v, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.02 + -0.428. Let p = 0.008 + b. Let n be (-2)\/(-12)*(-1 - 0). Put -2\/7, p, n in ascending order.\nAnswer: p, -2\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/13)\/1 + 0. Let m = -1.5 - -0.5. Suppose 9*z + 1 + 44 = 0. What is the third smallest value in m, w, z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(7) + 0) + 2)*-4)**2.\nAnswer: 384*sqrt(7) + 4096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 minus 1.15737?\nAnswer: -0.65737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) be the third derivative of -i**7\/14 - i**6\/120 - i**4\/12 - 2*i**3\/3 - 3*i**2 + 11. What is the second derivative of s(a) wrt a?\nAnswer: -180*a**2 - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the second derivative of -r**10\/15120 - r**9\/3780 - r**8\/3360 - r**4\/4 + 2*r. Let d(q) be the third derivative of m(q). Factor d(h).\nAnswer: -2*h**3*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 748?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -4*n + 200. Suppose -3*t - 5*u = 2*t - n, t = -2*u + 10. Solve a - t = 3*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26904.7 millilitres to litres.\nAnswer: 26.9047","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -4*t + 24. Let r be f(5). Suppose 5*n = -5*l + 15, -n - n = -3*l + 14. Sort r, -2, 2, n.\nAnswer: -2, n, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 2, -39, -1, 0, -25 in ascending order.\nAnswer: -39, -25, -5, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 12.13109 to two dps.\nAnswer: 12.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 126 and 35826.\nAnswer: 107478","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-9))\/(47\/((-3384)\/(-112)))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -58 divided by -6\nAnswer: 29\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 13309 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 3963.\nAnswer: 2\/3963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6248 is divided by 250?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -681, -1017, -1353, -1689, -2025, -2361?\n\"Answer: -336*k - 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 + (-22)\/14 + -1. Let k = 9836 + -9835.5. Which is the closest to k? (a) -3 (b) 1 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-22)\/(-5)*-65*(-44)\/6864\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 562286?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1064025 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 32, 87, 108, 41, -168, -573, -1228, -2187?\n\"Answer: -9*j**3 + 37*j**2 + 7*j - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) be the second derivative of o**3\/3 - 27*o**2\/2 + 2*o - 39. What is the derivative of j(r) wrt r?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that 4*q**3 - 10912*q**2 = 0.\nAnswer: 0, 2728","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -73\/30 + 17\/6. What is the third smallest value in -1\/13, d, -4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 253543821 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5.07 + 0.07. Let q be 6\/(-4)*140\/105. Sort m, q, -3 in increasing order.\nAnswer: m, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -509*r*s**4 - 36*r - 2*s**4 - 422*s**2 wrt s?\nAnswer: -12216*r*s - 48*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 + 18*g - 54. Let w be j(5). Solve n + 4 - 2 = -5*v, 3*n - 2*v = w for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 4 = 2*a, 6*z + 3*a = 3*z + 24. Suppose 5*u - y = -3*y - 2, -2*y - 2 = z*u. Let l(r) = 1 + r + 6 - 2 + u. Give l(0).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2543 a factor of 15138479?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -12*g**2. Let q(b) = b**3. Let i(d) = -4*d**3 + 7. Let k(p) = i(p) + 5*q(p). Let n(f) be the first derivative of k(f). Give n(o(r)).\nAnswer: 432*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -191634.6 and -0.06?\nAnswer: 11498.076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -31 + 28. Let b be d\/(-8) + (-14634)\/(-144). Let r = 192 - b. What are the prime factors of r?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zf when two letters picked without replacement from zzzzfzfzfzzzzffzfzz?\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -4 (b) -1 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 1\/6 and 67\/144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -205 + 207. Suppose 0 = w*n + x + 2*x - 3043, -4*n - 3*x = -6101. What is the hundreds digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.238 in -2, -8, -2\/7, -5, -4?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 3292 - 802. Suppose 4*c + 0*c = -3*n + z, c - 3*n = 117. Calculate the remainder when c is divided by 32.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -2\/3, -42, -0.04, -3\/4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8176, -9625, -11078, -12529, -13972?\nAnswer: -15401","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-55)*(-289113)\/131415?\nAnswer: -6\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -68a - -5?\nAnswer: -685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 214 is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5763 and 452?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: (1 - (12 + 0)) + (-93515)\/(-8559)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -c3 (base 15) to base 9\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + u = -a + 1, 5*u = 2*a + 16. Suppose 6*b - u*h = 2*b + 242, b - 5*h = 65. List the prime factors of b.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -47 and -10530 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 8 + 9 + 5.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.34 + -0.16. Put 0.1, 1\/4, d, 0.3 in ascending order.\nAnswer: d, 0.1, 1\/4, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -7*v**5\/5 - 89*v**4\/24 + 86*v**2. Find the second derivative of l(b) wrt b.\nAnswer: -168","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011792389 rounded to 6 dps?\nAnswer: -0.001179","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**1*s*s**9 assuming s is positive.\nAnswer: s**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 6 (b) 18664 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**2 + m**2 - 2*m**2)*(m + m - 3*m) + (-m**3 - 3*m**3 + 5*m**3)*(3 - 2 + 1) to p*m**3 + n*m + a*m**2 + h and give p.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -7 (base 14) to base 5\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/7)*(b*b**(-2\/9)*b)\/b*b**3*b\/b**0)**30)**22 assuming b is positive.\nAnswer: b**(68200\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**7\/w)**11 assuming w is positive.\nAnswer: w**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71407, 142803, 214189, 285559, 356907, 428227?\nAnswer: 499513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10623, -10637, -10639, -10617, -10559, -10453, -10287, -10049?\n\"Answer: 2*j**3 - 6*j**2 - 10*j - 10609","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-48)\/9)\/((290\/(-15))\/(-29))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -14 - (6 + -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 10282.92 or -1\/3?\nAnswer: 10282.92","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 2, c: 8, o: 6, n: 2}. What is prob of sequence nco?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x - 9. Let q be u(4). Solve 3*r + 8 = 5*r - 5*y, r - q*y - 4 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7266896?\nAnswer: 2, 7, 13, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -3*p - 11. Let y(c) = 13*c + 44. Let h(q) = -9*l(q) - 2*y(q). Let n(x) = -2*x**3 + 3*x**2 - 3*x + 1. Let a be n(2). Give h(a).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/19686968 and 73\/5624848.\nAnswer: 39373936","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 424098 and 33?\nAnswer: 4665078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -s**2 + 10*s + 13. Let x be j(11). Suppose 3*v + 4 - 21 = -2*u, x*u = 4*v - 4. Let w(i) = 9*i - v*i + 7 - 7. Let h(o) = -2*o**2. Calculate w(h(a)).\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 81428 is divided by 43.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.0545 and 1313.\nAnswer: 1313.0545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*r**2 + 19*r**2 + 2*r - 2*r + 10*r**2.\nAnswer: 59*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 9:44 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 20839683?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v - 2. Determine k(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a. Let t be h(-2). Suppose t*d + 4*o = 16, 5*d - 4*o - 68 = d. Is 2 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 112*m**3 - 454*m**2 + 914*m**2 + 120*m**3 + 121*m**3 - 460*m**2 - 352*m**3.\nAnswer: m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -8253a0 (base 12) in base 16?\nAnswer: -1f25e8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36103072 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*i - a + 2*a - 6, 0 = -3*a - 6. Suppose 4*t + 5*g = 41, 5*t + g - 1 = 24. Is i at most as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1742021582?\nAnswer: 2, 7, 137, 908249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 894803.3 millilitres?\nAnswer: 894.8033","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 254525 (base 7) to base 2\nAnswer: 1011100010010111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24 - 32 - ((2 - 13) + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 571e0?\nAnswer: -571df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -19*q**2 - 25*q - 26. Let r(l) = 39*l + 24. Let i(j) = 5*a(j) + 4*r(j). Is 35 a factor of i(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 15) in base 2?\nAnswer: -1001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 1. Let i(n) = 5*n - 28. Let b(q) = -3*q + 14. Let k(j) = -7*b(j) - 4*i(j). Let z(t) = k(t) - 2*l(t). Let d be z(-9). Solve 5*y + 7 + d = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 4 - (-1 - -4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = u. Solve -2*p + u*p = -4*r, 0 = 3*r + 3*p - 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 + 5 = -4*j + 5*f, 54 = 5*j + 4*f. Solve j*v - 335 = -305 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, g: 2, s: 1}. Give prob of sequence gs.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -9*m - 70. Let d be w(-8). What is the highest common factor of d and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s - 88 = 52*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 30 divided by -19\nAnswer: -30\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2087001 to the nearest integer?\nAnswer: 1445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2c6 + 2?\nAnswer: -2c4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 24*p + 21. Let b(a) = a + 1. Give 42*b(o) - 2*t(o).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 10\/21 of a week?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 805?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of d**7\/210 - d**5\/60 - d**2 - 1. Factor j(p).\nAnswer: p**2*(p - 1)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16\/6*(-9)\/(-6). Suppose 16 = 19*w - 41. Solve -d = w, 4*d - z = -5*a - 21 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*54\/10575*(-5)\/3.\nAnswer: -2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in thirteen fifths of a millennium?\nAnswer: 260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9533503*l**3 + 9785606*l**2 wrt l.\nAnswer: -57201018","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round -4329.517242 to one decimal place.\nAnswer: -4329.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is -2496971\/4 at least as big as -624242?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1597 - 3111\/2. Let r = 129559\/244 + -258\/61. Let u = -547 + r. Calculate the common denominator of u and b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2958 by -102.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 14355?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 150176 is divided by 2339?\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9362*o**3 + 2*o**2 - 4693*o**3 + 6*o**4 - 4687*o**3 + 4 - 6*o**4 + 3*o**5 + 130*o wrt o.\nAnswer: 180*o**2 - 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8742, -1.5, 12, -2\/13 in decreasing order.\nAnswer: 12, -1\/8742, -2\/13, -1.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (32 - 0 - (-828 + 863) - (4 - 2))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rfmcrxfcxccfcf. What is prob of sequence rr?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/1323 + (-9125)\/315.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j + 3*j + 165 = 3*a, -49 = -j - 4*a. Suppose j*r + 11136 = 65*r. List the prime factors of r.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 292 - 289. Suppose -p*d + 2108 = 4*z - 5*d, -5*d + 1030 = 2*z. Is 15 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.265219297 to 5 dps.\nAnswer: 0.26522","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 take away -18043894?\nAnswer: 18043885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 334*i + 2794. What is o(-8)?\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 116?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**3 - k - 1. Suppose -3*r - 12 = 0, 6 = -y - 3*r + r. Let z be p(y). What is the third derivative of 16 + 14*g**2 - 16 - 31*g**z wrt g?\nAnswer: -1860*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*u - 4*u - 2*u + (-3*u + 0*u + u)*(0 + 2 + 0) + 0*u - u + 2*u + 135*u - 97*u + 182*u in the form i + x*u and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (18\/(-270)*6)\/((-140)\/25 + (-12)\/(-3)).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3244580573?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 326583*p - 174 = 326581*p for p.\nAnswer: 87","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 627433 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4089, -16378, -36869, -65568, -102481, -147614, -200973, -262564?\nAnswer: -332393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23 - 68\/3. Let c(q) = 5*q**2 + q. Let x be c(1). Let g(n) = 3*n - 13. Let d be g(x). What is the nearest to -2\/7 in d, 0.1, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3303*a + 16954 + 45803 = 0 for a.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11110101 - 1111101001100100001?\nAnswer: -1111101010000010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4 - -3)\/(-3 + (-2)\/4*2). What is the closest to 13 in 0.9, p, 0.3?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 116679?\nAnswer: 3, 19, 23, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -273 - -286. Suppose u - s*u = -u. Solve 4*m + 8 = -2*d, u = 5*m - 3*m + 3*d for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + y**2 + 3 + (y + 3 - 3)*(0 + 2*y + 0) + (-2 + 1 + 5)*(y**2 - y**2 - 2*y**2) in the form a*y + w + n*y**2 and give n.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10 - 8. Let f = 10 - 12. Let z = f - m. Which is the third biggest value? (a) 2 (b) z (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 103894 and 238?\nAnswer: 1766198","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 11*z - 99. Let w be d(9). Let v(k) be the third derivative of 4*k**2 + w*k - 1\/6*k**4 + 3\/2*k**3 + 0. What is the first derivative of v(o) wrt o?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 130722 or 130715?\nAnswer: 130715","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 23249 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 3, b: 1, r: 1, w: 1, y: 4, x: 2}. Give prob of picking 1 x, 2 y, and 1 o.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/17 or 0?\nAnswer: 5\/17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/143 and -14\/495?\nAnswer: 6435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -601.08899 minus 9.8?\nAnswer: -610.88899","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1146 divided by -191?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 9 (base 14) to base 12\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**2 + 15*i + 10. What is z(12)?\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 946 and 86?\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -732, -1254, -1370, -876, 432, 2758?\nAnswer: 6306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 16*a**2 + 7*a - 21. Does 27 divide g(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, n: 1}. What is prob of picking 2 g?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3013 (base 5) to base 3.\nAnswer: -112012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 2:03 PM?\nAnswer: 3:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 20 = -0*p. Suppose -t - p*v = -4*t + 130, t - 40 = -2*v. Is t a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -7*p + 44968. Let m(q) = 6*q**2. Calculate d(m(f)).\nAnswer: -42*f**2 + 44968","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 + 24. Let j = -14 + 9. What is the lowest common multiple of ((-1)\/2)\/(j\/20) and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-36) - 5\/20. Sort 2\/9, 161, y.\nAnswer: y, 2\/9, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**2 - l - 3. Let h be d(3). Suppose -5*t + 4*z = -47, -3*t - 3*z = -42 + h. What is the remainder when 31 is divided by t?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-6 - -21 - (-11 - -8)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in thirteen fifths of a gram?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -4*z**3 - 32*z**2 - 17*z - 55. Determine x(-8).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4742347 to the power of 1\/2, to the nearest integer?\nAnswer: 2178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -177833, -355668, -533503, -711338, -889173, -1067008?\nAnswer: -1244843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -10*x - 13. Let g(h) = -29*h - 40. Let c(v) = -17*b(v) + 6*g(v). Let n be c(-6). What is the remainder when 7 is divided by -2*-3*n\/30?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1046 = 54*l + 506 for l.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -2*x**2 + 25*x - 13. Let u be ((-8)\/(-20))\/(4\/5)*22. Let n be w(u). What is the greatest common divisor of 140 and n?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(272)*-1 - (-4 + sqrt(17)*1 + (2*sqrt(68))\/sqrt(4))**2)*4*-1.\nAnswer: -48*sqrt(17) + 676","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6\/125 + 2101\/500. Find the common denominator of c and 16\/63.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -15917 <= -15923?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1024 and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 185112810 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/2)\/(3*(-3)\/45).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 474 + -621. Let w = -462 - z. Which is smaller: 1 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is bb0a0 (base 13) in base 15?\nAnswer: 6a448","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zczfcclcfcflfbcfzcff. What is prob of picking 1 b and 3 z?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3*-4995236.\nAnswer: 1498570.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(-4 + (sqrt(108)\/sqrt(6))\/sqrt(6) + (-1*sqrt(363) + sqrt(363) - sqrt(363))) + 0)**2.\nAnswer: 720*sqrt(3) + 2844","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 237 - 235 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gaacggngccgagand. What is prob of picking 1 n and 1 d?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 478 + 1061 = -3*h. Let n be h\/38*(-2)\/(-3). Let b be 2\/n - 1280\/(-90). Calculate the greatest common factor of b and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7\/6820 < 63?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((21\/(-24))\/(-7))\/(2\/(-12)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 38 - 32. Suppose s*k = k + 260. Calculate the greatest common factor of 26 and k.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -355*x - 6964. Suppose 2*n = 3*n - 42. What is the remainder when i(-20) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*q - 2 + (-2*q - 2*q + 6*q)*(1 - 4 + 19) to the form r*q + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -3*y. Let v(z) = -13*z - 98. Let d(m) = 37*m + 296. Let c(u) = -6*d(u) - 17*v(u). What is b(c(o))?\nAnswer: 3*o + 330","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 32 + -10. Let v = -1154 + 1151. What is the third smallest value in q, -1, v?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6\/33 - 240\/715. What is the biggest value in u, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 122128 - -126.7.\nAnswer: 122254.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 115, -3\/7, -1, 3\/4, -4, 1\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -4 + 6 + -12 + 5 + 5\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 728 - 712. Let o = 389 - j. Calculate the remainder when o is divided by 34.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*l + 2917 = l, -3*l = -3*a + 2877. Suppose 34*h = 30*h + a. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33114.380617 - 33141.967. Let t = -9.58638364 - v. Let b = t - 18. What is b rounded to 7 dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the second derivative of l**4\/12 + 51*l + 1. Let z(u) = 499*u**2. What is z(w(m))?\nAnswer: 499*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3785 - 3706. Let v = 50 + -30. What is the remainder when w is divided by v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245807 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -241*j - 1. Let o(d) = 468*d + 1. Calculate -4*o(m) - 7*w(m).\nAnswer: -185*m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence izon when four letters picked without replacement from bnnxnninzoininin.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18265\/1528 - -15\/191. Let q = -2011\/3 + 661. Let c = q - -127\/12. Find the common denominator of v and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56758 and 16874.\nAnswer: 624338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**7\/2520 - t**6\/540 + t**5\/360 - t**3\/6 + t**2. Let s(b) be the first derivative of x(b). Suppose s(f) = 0. What is f?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2) - sqrt(4)\/(sqrt(4)\/sqrt(2) + sqrt(2))) + (sqrt(40)\/sqrt(2))\/sqrt(10) - (-5*(sqrt(96)\/sqrt(12) + sqrt(128)))**2.\nAnswer: -5000 + 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 164, 237, 280, 281, 228, 109?\n\"Answer: -2*f**3 - 3*f**2 + 96*f + 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 889*t - 2993 wrt t?\nAnswer: 889","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r + 4*x = -49, x = -4*r - x + 102. Let b = 157 - r. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = x - 2*v, x - v = -0*v + 1. Is 7 a factor of ((-40)\/x)\/1*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 235*d - 1 - 169 + 25 - 322.\nAnswer: 235*d - 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:49 AM and 2:46 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1019475994?\nAnswer: 2, 359, 1419883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 99 - 69. Let p be (-12)\/y*(0 + -5). Find the third derivative of b**2 - 3*b**p - 3*b**5 - 2*b**2 wrt b.\nAnswer: -180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 863?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -2*j**2 - 2*j. Let z(n) = 12*n**2 + 13*n. Give -39*r(g) - 6*z(g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -26605.\nAnswer: -26605.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 74608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/(a*a**(1\/6))*a*a**(-18)*(a\/(a**(1\/6)\/a))\/(a**(-13)\/a) assuming a is positive.\nAnswer: a**(-4\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4314\/194496)\/((-2)\/420). Let a = 1083\/40 + -1095879\/40520. Let b = v - a. Find the common denominator of b and 123\/10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1327958?\nAnswer: 2, 663979","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 110111301 + -1?\nAnswer: 110111300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/10 and (2 - -2) + (-201)\/12?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 162 + -75. What is the remainder when o is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 175 and 10?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 312801140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 - -562\nAnswer: 561.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*o**2 - 5*o**2 + 6*o**2 + (-o - 3 + 3)*(-2*o + o - o) + (3*o + 3*o - o)*(-22*o - 3 + 3).\nAnswer: -101*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:13 AM and 3:50 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11 times -42\nAnswer: -462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -3*d. Let i(r) = r - 31. Calculate i(t(g)).\nAnswer: -3*g - 31","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127679410457 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o - 38*f = -4, 2*o + 312 - 159 - 155 = f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*c**2 - 14*c**2 + 3*c**2.\nAnswer: -8*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -3375, -3735, -4095, -4455, -4815, -5175?\n\"Answer: -360*z - 3015","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/5, 82, -5 in decreasing order.\nAnswer: 82, -1\/5, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -156213592 at least -156213591?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6986 = -93*r + 547 for r.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (24\/64)\/(((-114)\/80)\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221 = 4*t - 249. Suppose -5*m + 2*c = -1222, -6*c + 245 = m - t*c. What are the prime factors of m?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 5*k**2 + 2*k + 1. Let j be x(-1). Let r(w) = w**3 + 3*w**2 + 3*w + 3. Is r(j) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (-17 + 10) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**34\/k**17 assuming k is positive.\nAnswer: k**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2)\/((-3)\/105*-2). Let q = a - -45. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -14*v - 2. Suppose 112 = -f + 5*f. Suppose c + 5*k = 4*c + 61, 3*k = -2*c - f. Let w = c + 9. Let n(y) = 9*y + 1. Determine w*n(m) - 5*b(m).\nAnswer: -2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-8)\/(-6))\/(6\/(-7389)). Is z\/(-8) - (-5)\/(-20) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 391 - 390.9913. Let z = t - 0.00868298. What is z rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 69 - 73. Sort g, -1, -1\/9.\nAnswer: g, -1, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 245960.5l?\nAnswer: 245960500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 0.5 (c) -4 (d) -2\/9 (e) -3\/7 (f) 327\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*b - 87 = -204 for b.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of 0*q**2 + 0 + 1\/12*q**4 + 3*q + 1\/20*q**5 + 0*q**3. What is the third derivative of s(b) wrt b?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/7 (b) 3 (c) -1968869\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27979954 is divided by 82.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 78632205*b**3 - 77632528*b wrt b?\nAnswer: 471793230*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*b + 1 - 1)*(-4 - 1 - 5 + (4 + 2 - 5)*(-4 + 0 + 3) + 5 - 3 - 3) + (-3 + 3 + 1)*(0 + 0 + b) + b + 3 - 3 - 40*b + 144*b + 28*b to q + t*b and give t.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 3:04 AM?\nAnswer: 492","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -21, -5, 17, 45?\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 150 a factor of 11250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 4*o**2 - 4*o + 5. Let j be h(-5). Suppose s + 0*s - 2 = j. What is the units digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c*s*y**2 - 8*c*s*y*z + c*s*y + c*y + 2*s*y**2*z - 8*s*y - 2*s*z wrt z.\nAnswer: -8*c*s*y + 2*s*y**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 70690 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4 - 2) + 0 + 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 30997, 25281, 19565, 13849?\n\"Answer: -5716*v + 36713","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**2 - 8*b - 9. Let c be k(8). What is the units digit of (-61)\/c + (-4)\/(-18)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(112)*2 + -4)*-5.\nAnswer: -40*sqrt(7) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 428884321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**3 + 5*q**2 + 2*q + 6. Let u be y(-5). Let b = u + 11. Calculate the remainder when 25 is divided by b.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 6 + 7 - 2*r**3 + 0*r**2 + 5*r**2 as b*r**2 + j + w*r**3 + v*r and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzyzzzyz. What is prob of picking 2 z and 1 y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 472*p + 499. Calculate o(2).\nAnswer: 1443","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4\/763 - -787\/4578. Let l = -0.06 + -1.94. Let j = 0 + l. Which is the third smallest value? (a) j (b) 1 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2 or -51071\/10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 925, 3634, 8149, 14470, 22597?\n\"Answer: 903*h**2 + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in one twentieth of a century?\nAnswer: 5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (11 - (-6 + 0 + 12)) + -4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -191, -767, -1727, -3071, -4799, -6911?\nAnswer: -9407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 501, -826\/13 in decreasing order.\nAnswer: 501, 4, -826\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2402864?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:47 AM and 4:11 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -0.3, 1, -56662, -2, 0.043?\nAnswer: 0.043","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 10*g = -5. Let k = -5043.2 + 5042. Which is the closest to -1\/4? (a) -3 (b) g (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -z**6\/10 - z**5\/60 + 3*z**2. What is the third derivative of t(n) wrt n?\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = -w + 9. Let j be (-7)\/(28\/16) + 0. Let g be (j\/(-4))\/(1\/7). Let b be r(g). Solve -a = -4*l + 10, -b*a + 5*l - 11 + 0 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(4*(-3*sqrt(175)*2 + -5*(sqrt(175) + 0 + sqrt(175))) + -1))**2.\nAnswer: 5760*sqrt(7) + 6451209","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 360\/16*(-18)\/15.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 184972633 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let 377\/4*f + 0 + 1\/4*f**5 - 189\/2*f**3 + 4*f**2 - 4*f**4 = 0. What is f?\nAnswer: -13, -1, 0, 1, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 865 is divided by 55?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 700 + -700.1. Which is the nearest to 1? (a) -3\/5 (b) h (c) -2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/10)\/((-2)\/(-25)*15).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75, -175, -303, -459, -643, -855, -1095?\nAnswer: -1363","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 340\/(-1700) + (-3)\/(-5)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64, 195, 544, 1219, 2328, 3979, 6280, 9339?\n\"Answer: 18*b**3 + b**2 + 2*b + 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 437776?\nAnswer: 2, 27361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 204 = -59. Suppose 4*u - 64 = -4*r, 3*r - 27 = -5*u + z. Suppose -3*t - t = r, -12 = -3*d - 4*t. What are the prime factors of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1\/1*(-207)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507907 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -567484\/9 + 63146. Let m(p) = -24*p - 4. Let b be m(-4). Let n = a - b. Are n and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3255, 3275, 3295?\n\"Answer: 20*l + 3235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k + 97*j = 94*j - 90, 4*k - 5*j = 72 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by 89.\nAnswer: 26\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**3 - b**2 - 1. Let o(w) = 2*w**3 - 2*w**2 - 4. Let k be ((-2)\/12*-4)\/((-6)\/(-54)). What is k*r(x) - 2*o(x)?\nAnswer: 2*x**3 - 2*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 5, 3\/2, -0.4, 0.3, 0.09?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 245 or 1\/8?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.54 + 1.04. Put u, -4, 0.2, -6 in descending order.\nAnswer: u, 0.2, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 813 - -194. Suppose x - 4*y = j, x = 3*x + 2*y - 2044. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 755195 and 175.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 4 = h, -1431*h + 1427*h - a - 23 - 36 = 9 for h.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 o, and 1 c when three letters picked without replacement from pnnnccocpnpcpnnpc.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = 3*m - 47, -u + 45*m - 50*m = -33 for u.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -2, -13, -194?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -2 and -301.7331.\nAnswer: -303.7331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is s in -2*s**5\/7 - 10*s**4\/7 + 36*s**3\/7 + 116*s**2\/7 - 290*s\/7 + 150\/7 = 0?\nAnswer: -5, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 732145 to the power of 1\/2, to the nearest integer?\nAnswer: 856","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, -8, -0.09, 2\/11?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + 29. Let i = j - 9. Solve i*c - 3 + 7 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -9*i + 6. Calculate g(-3).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 4\/(-4) - -7 - (-2 + 5). Let g(l) = -l**2 + 3*l - 3. Give g(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1\/2, -7\/9, 7, 5, -0.4, -0.1?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 470*k**2 - 21*k + 2. What is the hundreds digit of f(-2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 283*q - 46. Let x be b(1). What is the units digit of ((-6)\/10)\/(x\/(-395))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, m: 2, c: 2}. Give prob of sequence wmmc.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 13, z: 2, i: 5}. What is prob of picking 1 b and 1 i?\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.1 + 0. Let f = -0.2 - t. Let w = -4.3 - f. Which is the closest to -1\/2? (a) w (b) 2\/11 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, v: 1, x: 2, w: 1, e: 1, m: 1}. Give prob of sequence ym.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(252) + (sqrt(7) - (-2 + -2*sqrt(7)) - sqrt(7)) + ((1*sqrt(77))\/sqrt(11) - -2*(sqrt(7) + 2)))**2.\nAnswer: 110*sqrt(7) + 872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = n. Let l(o) be the third derivative of 9*o**5\/40 - 11*o**3\/3 + 12*o**2. Let y(b) be the first derivative of l(b). Give u(y(z)).\nAnswer: 27*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 5*r = -4034, r + 2002 = -2*c + 6*r. Let g = c - -1806. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -74 - -76. Solve -y*w = 3*w - 5 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z + 2*c = -c - 4, 5*c + 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = 3*i - 3*t, 2*i - t = 2*t - 9. Let v(f) = -f**3 - 9*f**2 + f + 14. Let k be v(i). Solve h = -5*d - 25, -5 = k*d - 5*h + 20 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or -7098?\nAnswer: -7098","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 55130007 or 0.1?\nAnswer: 55130007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*(10 - 8)*5\/(-5 + 10). Solve 2*j - 3*l + 19 = 0, -w*l = j - 4*l + 11 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -1\/6 (b) -2\/5 (c) 5 (d) 0.32\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 64\/12*156\/16. Suppose -t + 4*s - 2*s + r = 0, -5*s = -2*t + 104. What is the units digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 82*q - 840. Let o be g(12). What is the highest common divisor of 1044 and o?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 + 2 = -5*d. Suppose -2*i + 6 = 0, -4*w - 6 = d*i - 26. Let p be 0 - 3\/(5 - w). Let z(q) = -4*q**3 - q**2 + 1. Determine z(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -4 (c) 0.7 (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14942 is divided by 55?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -24520000 rounded to the nearest one million?\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i**2 + 3*i + 173 + 4*i**3 - 3*i**3 - 165. Is 4 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -2630501 to the nearest 10000.\nAnswer: -2630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 54*n**3 + 114*n**2 + 72*n + 16. Let j(g) = g**2. Let f(u) = 6*j(u) - v(u). Factor f(i).\nAnswer: -2*(3*i + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 0 + (-18 - 3) + 11 + -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 2*k = 945 + 143, h - 2*k - 216 = 0. Is h a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((420\/(-16))\/5)\/(3\/8). Which is smaller: k or 1.9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = h**3 - 2*h**2 - 3*h - 70. What is s(0)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 68 divide 368492?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, t: 10}. Give prob of sequence bbbt.\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 4 = 3*f. Suppose -30 = -0*k - f*k. Is 5 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/(-6))\/(6084\/19266).\nAnswer: 19\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**2 + 19*n - 216. Calculate z(8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + p + 12 = -2*m, -2*p + 2 = 261*m - 259*m - 22 for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 10*t + 26. Let k be b(-2). Let w(v) be the third derivative of 0*v**4 + 1\/14*v**7 + 1\/20*v**5 + 3\/20*v**k + 0*v - 7*v**2 + 0*v**3 + 0. Factor w(c).\nAnswer: 3*c**2*(c + 1)*(5*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the second derivative of z**3\/6 - z**2 + z. Let q be s(5). Let c = 5 + -5. Solve c = q*t - 8*t - 15 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -457085*y**2 - 476985*y.\nAnswer: -914170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*l*w**3 - 2*l*w**2 - 590*l*w - 373*l - 143027041*w**3 wrt l.\nAnswer: 4*w**3 - 2*w**2 - 590*w - 373","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.212835 + 0.06279. Let b = q + 0.15. Round b to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 365977399 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w + 4, -17 = b + 4*w + w. Suppose -4219 = -6*s + 569. Suppose b*r = -3 + s. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 7*i + 5*i - 14 = 0, -5*p = -2*i - 16. Suppose 3*w + f - 13 = 0, -p*w + 2*f + 9 = 3*f. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 4*q - 147. Let w(z) = 2*z**3 - z**2. Suppose -4*t = i - t + 4, -5*i = -3*t - 16. Let b be w(i). Solve d + 21 = 4*g, 3*g = 5*d - b + q for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6\/5, 0.1, -3, 9767, 2\/19, -1\/4 in decreasing order.\nAnswer: 9767, 6\/5, 2\/19, 0.1, -1\/4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5\/2 (b) -10.12 (c) 3 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 3, d: 2, m: 3, b: 3, t: 1, g: 2}. Give prob of picking 1 g, 1 o, and 1 m.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/2*(-50)\/(-875). Put 3, s, 35 in ascending order.\nAnswer: s, 3, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**2 + 16*m + 17. Let d be i(12). Suppose -70*h = -d*h - 115. Suppose 728 = 30*f - h*f. List the prime factors of f.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -638 + 330 + 112*i + 317 with respect to i.\nAnswer: 112","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11457*z = 11485*z - 112. Suppose -3*l + 0*l = 2*b - 10, 5*b = 4*l + 25. Solve 4*x - 2*x = l, 0 = -z*t - 5*x for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 8*d**2. Let o(w) = 216*w + 2. Calculate s(o(h)).\nAnswer: 373248*h**2 + 6912*h + 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22, 16, -2250?\nAnswer: -2250","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8206 times -0.04?\nAnswer: 328.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0.3 (b) 7 (c) -12.4 (d) 0.2 (e) 293\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 74 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 5*c. Let l(p) = 67*p**2 + 4*p. Determine l(h(b)).\nAnswer: 1675*b**2 + 20*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -5*4\/(-240) + 3115\/60. What is the highest common factor of 390 and b?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -15*v**5 - 765*v + 44*v**5 + v**2 - 14*v**5 + 48*v**5 - 2*v**4 - 27*v**4 wrt v.\nAnswer: 3780*v**2 - 696*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5861 to the nearest one hundred.\nAnswer: -5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 38 + 45952\/(-656) + 32?\nAnswer: -2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19861 is divided by 288?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -3893.\nAnswer: -11679","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 2, 143, -0.4 in descending order.\nAnswer: 143, 2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*w - 288 + 57. Suppose z + 9 - 34 = -5*s, 2*z = -s + w. List the prime factors of z.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 123 + 88 = 18*g + 193*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -0.1 (b) -65.3 (c) -2.5 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 36066, 35930, 35556, 34824, 33614, 31806?\nAnswer: 29280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-947)\/225 + (-520)\/(-58500).\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -179*m + 1097. Calculate x(6).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -13 - -14. Solve v + 12 = 3*x, v = -3*x + d + 5 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2949252390 to the power of 1\/3, to the nearest integer?\nAnswer: 1434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 72 + 170 = 6*m - 18*m - 130 for m.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 2 * -25.0969\nAnswer: -50.1938","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8746971?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -101? (a) 2\/81 (b) 1 (c) 36\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 21011222 - -31?\nAnswer: 21011313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5075484 and 1766.\nAnswer: 1766","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = t**3 - t**2 - 3*t - 1. Let r be w(3). Suppose g + 0*g - k - r = 0, -3*g + 8 = 5*k. Let c = 19 + -14. Solve -5*o = v - 7, -c*o = 2*v - 3*o - g for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.02 - 773.486\nAnswer: -773.506","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3057901*o**2*z**2 + 2*o**2*z - 2*o**2 - 3*z**2 - 531*z + 448 with respect to o.\nAnswer: 6115802*o*z**2 + 4*o*z - 4*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 11351 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -753, -734, -707, -672, -629?\nAnswer: -578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 593 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*v**5 + 8*v**3 - 6*v**3 + v**5 + (-3 - 3*v + 3)*(v**4 + 0*v + 0*v).\nAnswer: -5*v**5 + 2*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4\/7, 2, -2, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2115 and 3474475.\nAnswer: 31270275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 28906 a multiple of 137?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the first derivative of -i**4\/4 + 11*i**2\/2 - 1. Find the second derivative of w(b) wrt b.\nAnswer: -6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8 + 13. Solve m*n - 15 - 10 = 0 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1, 23, 47, 71?\n\"Answer: 24*j - 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5117803?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**3 - 26*h**2 - 27*h - 45. Let q be n(-25). Solve -x = q*c + 3*x, c = -x for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(1\/2)\/f)\/f)**39\/(f**(3\/11)\/(f\/(f\/(f*f*f*f**(-11)\/f)))) assuming f is positive.\nAnswer: f**(-633\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve s - 2191 = -2*m - 2188, 3*s + 22*m = 25 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60 is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.36 + -0.99. Let y = 0.6362 + d. What is y rounded to 3 dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + -325831?\nAnswer: -325834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) be the first derivative of 71\/3*l**3 - 239 + 0*l**2 - 94*l. What is the derivative of o(p) wrt p?\nAnswer: 142*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 11 - 8. Let d(i) = 5*i**3 + i**2 - 1. Let a be d(1). Solve -2*u - a = -x for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -12. Suppose -223 = -t + k*p, -3*p + 915 = t + 3*t. Suppose 194 + 46 = 5*s + 5*c, 5*s - t = c. Is 18 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 4 + 0 = g, p = 2*g - 6. Suppose l - p*f - 4 = 0, 5*l = 6*l - f - 3. Suppose 2 = l*y + 4. What is the nearest to y in 1, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-30)\/(-16) + (-3)\/(-24). Suppose -4*o + 18 = -n*o. Let d = o - -25. Is d a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000855912229 to six dps.\nAnswer: 0.000086","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -35.701154 to 1 decimal place.\nAnswer: -35.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 764767165?\nAnswer: 5, 152953433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4.26447766 and -131?\nAnswer: 135.26447766","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -51.9 - -52. Which is the third smallest value? (a) 2 (b) z (c) -0.4 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r**3 + 35*r**2 - 751*r + 29. Suppose 223 = w + 48. Calculate the remainder when w is divided by o(-30).\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 575*h - 527*h + 864 for h.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 329 - 97 = 3*k, 2*z = 5*k + 293. Calculate the remainder when z is divided by 28.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*(-1)\/(-2)*-2. Let n(o) = 26*o - 1. Calculate the remainder when n(d) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g. Let l(q) = -q**2 + 36*q - 1. Let x(r) = 8*r**2 + 180*r - 4. Let h(j) = -10*l(j) + 2*x(j). Calculate h(v(c)).\nAnswer: 104*c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16925113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -24\/7*z**3 - 21*z - 18\/7 - 309\/7*z**2 + 48\/7*z**4 = 0. What is z?\nAnswer: -2, -1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -186557391 and -5.\nAnswer: 932786955","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 121 + 199 = 2*o. Let k = o + -88. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(78)\/sqrt(6) + -1 - 2*sqrt(637) - ((sqrt(130)\/sqrt(5))\/sqrt(2) + (-1 + sqrt(13))*-6)) + -2 + 2)**2.\nAnswer: 112*sqrt(13) + 881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3790, -15058, -33836, -60124, -93922, -135230, -184048?\nAnswer: -240376","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -8 divided by 110\nAnswer: -4\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -2*g - 5. Let z be h(-5). Sort z, 0, -1, 9 in decreasing order.\nAnswer: 9, z, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 9 = -8*p. Suppose 3*t + 4*a = 0, 2*t - 4*t = -4*a + 20. Let b(j) = j**3 + 3*j**2 - 3*j + 5. What is the least common multiple of b(t) and p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -75568 at least as big as -70355?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 896 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:12 AM and 8:57 AM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, o: 1, p: 2}. Give prob of sequence pp.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, -2142, 3, 21, -10 in decreasing order.\nAnswer: 21, 3, -4, -5, -10, -2142","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 176\/30 - 8\/(-60). Let c(v) be the third derivative of 0*v + v**2 + 0*v**5 - 1\/3*v**3 + 0 - 1\/60*v**n + 0*v**4. Find the first derivative of c(h) wrt h.\nAnswer: -6*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*c = 2320 + 6150. Let z be (-2 + c - 4) + 1 + -3. Calculate the highest common divisor of 36 and z.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3012701 is divided by 301268.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 13 - 19 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-7)\/(b*b\/(b*b**(-13))) assuming b is positive.\nAnswer: b**(-21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of 19*m**3\/6 + m**2\/2 - 538*m. Let r(d) = -10*d. Give -5*r(s) - 2*x(s).\nAnswer: 12*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - 11*h**2 - 9*h + 2. Calculate the remainder when 131 is divided by z(-5).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**3\/n)\/n)\/n**(-1\/4)*n**(-1\/3)*n**5)\/((n\/n**(-2\/7))**9)**36 assuming n is positive.\nAnswer: n**(-34495\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -31*h - 2. Let w be z(-8). Suppose w + 15 = 3*u. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9? (a) 451 (b) -0.02 (c) 5\/8 (d) 83\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3\/125 (b) -2 (c) -0.4 (d) -2\/3 (e) -41 (f) -1\/7\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1.6296495 minutes to hours.\nAnswer: 0.027160825","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29451 = -3*h + 29457 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (136\/(-56) + 1)*(-14)\/4. Suppose -p = -5*q - 484, q - 3*q - 212 = -u*p. Is 4\/(q\/(-4)) + 31652\/24 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*u + 135 - 177 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j + 4. Let x be z(-4). Suppose -a + 18 - 2 = x. Suppose 5*d - 13 = 2*w, 4*w + a = 4*d + 8*w. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 843 and 6?\nAnswer: 1686","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 646 + -612. What is the greatest common divisor of k and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 63 - 3*i - 2*i**2 + 2*i**3 - 63 in the form l*i**2 + d*i**3 + h + f*i and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2 = -3*z + 14, -30 = 5*z + 3*v. Let b(d) be the first derivative of 2*d**3\/3 + d**2 - 3*d + 7. Give b(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/4)\/1*-8.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -10 - -14. Suppose l*g - 120 = 96. Suppose -2*n = -4*n + g. What is the tens digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -2 + (0 + 0 - 341998). What is f rounded to the nearest ten thousand?\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -415.1 plus 0.335?\nAnswer: -414.765","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 PM and 4:42 PM?\nAnswer: 251","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - r + r)*(-21 - 750 - 332) + (-r - 2*r + 6*r)*(0 + 2 - 1) in the form l + g*r and give g.\nAnswer: 2209","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x**3 + 4*x**2 - 23*x + 1. Calculate y(-6).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1000050883?\nAnswer: 13, 19, 181, 22369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-63)\/(-44)) - 5)\/(-1).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - 1. Let y(x) = 145*x - 13479. Let w be y(93). Solve -2*m + w*m + 2*j = 0, -3*m + z = 4*j for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/8769 and -23\/33.\nAnswer: 96459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/14 - 87\/14. Let g = -0.18 - -0.2. Let q = 1.02 - g. What is the third biggest value in q, 1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:33 PM and 5:44 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0010026757 to six decimal places.\nAnswer: -0.001003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**2 - 14*c + 13. Let i be f(9). Let h = i + 54. What are the prime factors of h?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -15.03 - -15. Let o = 47.97 - x. Let c = o - 47. Sort 5, 0.1, c in descending order.\nAnswer: 5, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -81*t**2 + 114*t - 33. Let d(c) = 10*c**2 - 14*c + 4. Give 33*d(r) + 4*i(r).\nAnswer: 6*r**2 - 6*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*i**2*m**2 + 6806*i**2 - 17069*m**2 - 71*m wrt m?\nAnswer: -8*i**2 - 34138","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3 - 0. Sort u, 2\/9, 1 in ascending order.\nAnswer: u, 2\/9, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xxx when three letters picked without replacement from xxexe.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -314*w + 230. Let g be q(52). Is g at least -16099?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 59\/5 of a micrometer?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*b - 26 + 66 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 952*d - 1031*d + 15 + 663 = 125 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 199374*a**3*i - 2*a**2*i - 2*a**2 - 26574*i - 1 wrt a.\nAnswer: 1196244*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2798*o**4 + 87*o**2 - 1170371 wrt o?\nAnswer: -11192*o**3 + 174*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 - 5*b**2 + 3*b - 6. Calculate w(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 450765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + (92\/(-15) - -6) + 49046\/(-2055).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/9 (b) -0.2 (c) 7\/5 (d) -0.07 (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 4, h: 3, o: 7}. Give prob of picking 2 h, 1 o, and 1 c.\nAnswer: 12\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 87 - -121bb8?\nAnswer: 122083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0425 and -35323?\nAnswer: 35323.0425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3154 - 569*q**3 - 684*q**3 + 3350 wrt q?\nAnswer: -3759*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:13 AM and 2:47 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2622583.9 * -2.\nAnswer: 5245167.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -49 - 36. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1430 and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8069*w + 158101 + 27486 for w.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 959?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -1426260, -4\/7, 6?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from foorrorroffpror. What is prob of picking 1 f and 1 r?\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -11380320*l**2*o**3 + 6*l*o**3 + 2*l*o**2 + 8*l - 63612*o wrt l?\nAnswer: -22760640*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1103.4 rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 87 - 66. Suppose -3*o - 2*f - 14940 = 0, 19*o - k*o = 4*f + 9960. Round o to the nearest 100.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 32414?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*(k\/(k\/(k\/k**(-4))))\/k)\/k*k*k**(-1\/3))**(-3\/8)\/((k\/((k**0*k*k)\/k))\/(((k**(7\/4)*k*k*k*k)\/k)\/k*k)*k**(3\/10)*k*(k*k**0)\/k) assuming k is positive.\nAnswer: k**(17\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the second derivative of -m**5\/20 + m**4\/6 + 5*m**3\/2 + 79*m. Let a(c) = 0. Calculate c.\nAnswer: -3, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, 9316, -2 in ascending order.\nAnswer: -6, -2, 5, 9316","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 5*p**2. Let l be t(1). Suppose 0 = 191*a + 67*a - 2580. Calculate the highest common factor of a and l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 928361583?\nAnswer: 3, 103151287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 432 = 10*k. Let b = k + -50. Suppose 17 + 183 = b*g. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/30 of a week?\nAnswer: 336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.084 - -0.114. Suppose z - 2*k = 9, 3*z - 12 = 2*k + 3. Which is the third smallest value? (a) o (b) 2\/5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -24 + 27. Let p = i - 3.8. Is -0.1 smaller than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -149891\/4 - -37473. Which is the third biggest value? (a) -380 (b) i (c) 5 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -3*q - 18, 1 = 3*j - 4*q - 22 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 4:30 PM?\nAnswer: 6:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41117 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 23901359 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 418.74 times -2660\nAnswer: -1113848.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the second derivative of m**3\/2 + 23*m**2\/2 - 3*m. Let c be t(-7). Suppose -c*o = 14 - 20. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 4\/(1*-8)*-10. Let r(v) = -8*v + 18. Let h be r(0). What is the second derivative of -h*x + 15*x - 20*x**a - 5*x - 12*x wrt x?\nAnswer: -400*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00791 to four decimal places.\nAnswer: -0.0079","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o - 1, -3 = n + 2*o + 19. Let z(k) = -k**2 - 21*k - 14. Let r be z(n). Let m(b) = -b**2 + 5*b - 2. Calculate m(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4113\/4 (c) -4.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*i + 2 - 3 + 2*i + 3 + (-3 + 5 - 1)*(2 - 2 + 2*i) - i + 2*i + i - 1 + 1 + 2*i + (0*i + 11*i + 0*i)*(3 + 0 - 5)*(1 - 3 + 3) as u + x*i and give x.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -149667456.053 - -0.002.\nAnswer: -149667456.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1 + -2. Put -0.2, h, 2 in increasing order.\nAnswer: h, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:26 AM and 9:52 AM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159*s - 77*s + 1726*s - 4.\nAnswer: 1490*s - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 131.886 + -132. Let n = 0.416 - f. Let t = n - 0.5299928. Round t to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 354?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 4167 (base 10) in base 15?\nAnswer: 137c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*b**2 - 4*b**2 - 2*b**4 + (-3 + 2*b + 3)*(2*b**2 - b**3 - 2*b**2) - 2 - 7*b**4 + 2.\nAnswer: -11*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 429\/18*-42*(-35)\/9555*(-1)\/1?\nAnswer: -11\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (4\/28)\/(1\/(-15)). Let a = 17\/7 + w. Factor -4\/7*j + 0 + a*j**2.\nAnswer: 2*j*(j - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 41, 40, 39, 38, 37, 36?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1194 - 1191. Let d(p) be the third derivative of 0*p**3 + 1\/12*p**5 - 11\/24*p**4 + 0 - m*p**2 + 0*p. What is the second derivative of d(l) wrt l?\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 696 divide 19926058?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of -r**4\/4 - 3*r**3 - 23*r**2\/2 - 6*r - 46. What is the hundreds digit of o(-10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 13\/5 of a micrometer?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i - 3. Suppose 3*y = 2*y + 5. Let k(r) = 55*r - 12. Let o(l) = -156*l + 34. Let a(w) = 17*k(w) + 6*o(w). Let n(j) = y*a(j) + d(j). Determine n(-2).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by 13101.\nAnswer: 28\/13101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -4*p + 3. Let v = 52 + -58. Let b(o) = o**3 + 4*o**2 - 10*o + 7. Let f be b(v). Let g(y) = 6*y - 5. Give f*g(q) - 8*j(q).\nAnswer: 2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o - 2006 = 4*u + 19027, -20 = -4*o. Let m = 62939\/12 + u. Calculate the common denominator of m and -73\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -520755 at least -520755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of 5*k**2\/2 - 8*k + 100. Let p(u) = 4*u - 7. Let y(d) = 3*a(d) - 4*p(d). Let h be 3\/6 + 18\/(-4). What is y(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 u when three letters picked without replacement from {u: 3, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes before 4:01 AM?\nAnswer: 3:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1813 = -11*r + 211. Calculate the remainder when r is divided by 62.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -7*g**2 - 23*g - 17. Let c(y) = 4*y**2 + 12*y + 9. Let b(l) = 5*c(l) + 3*k(l). Suppose 3*t = -0 - 24. Let a be b(t). Let x(w) = -w. Give x(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f**3 - f**2 - 2*f + 146. What is the hundreds digit of l(-10)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 3793, 71 in decreasing order.\nAnswer: 3793, 71, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/1044544 and -149\/360.\nAnswer: 47004480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -o + 8. Let l be r(5). Let k(x) = 2*x**2 + 4*x + 3. Let u(a) = 2*a**2 + 3*a + 2. Calculate l*u(j) - 2*k(j).\nAnswer: 2*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 86, 180, 274, 368?\nAnswer: 462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10215 is divided by 72.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15 or 3844\/259?\nAnswer: 3844\/259","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/176 and (19\/((-57)\/(-214)))\/(-8)?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*p**3*r + 942*p**3 + 8*p**2*r - 4967033*p*r wrt p?\nAnswer: -102*p*r + 5652*p + 16*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k + 4. Let v be f(0). Suppose p - 55 = -v*p. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*7*(-8)\/168?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -9\/1969748 and -103\/572?\nAnswer: 25606724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/5 (b) -23 (c) -3\/7 (d) -1\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a micrometer in nanometers?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(165))\/sqrt(5))\/(-3*sqrt(176)).\nAnswer: sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1128 - 794. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22066 to the nearest integer?\nAnswer: 149","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 155*g - 1 = -39*g - 1 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2 + (1*-4*sqrt(17) - (sqrt(2448) - 4*sqrt(2448)))).\nAnswer: 6 + 96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -20226 - -15?\nAnswer: -20211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1475*z - 10*z**3 - 738*z - 737*z.\nAnswer: -10*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -229*b + 2917 - 1085 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by 50791.\nAnswer: 5\/50791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 114570 = -7940 + 3586. Does 27 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50319035 is divided by 50319021.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 - 1)*(-103*p + 30*p - 30*p) + p + p - p + (-2 - 5 + 5)*(p - 1 + 1) + 4*p - p - 2*p.\nAnswer: -103*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 13 + -16. Let y be t\/5 + 137\/(-5). What is the units digit of y\/(7\/(28\/(-8)))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 90768653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1008) + 2 + sqrt(1008) + 4 + sqrt(1008) - ((sqrt(7) - (0 + sqrt(63))) + sqrt(7) - (1*sqrt(7) + -4)))*-5)**2.\nAnswer: 3800*sqrt(7) + 252800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/(u*u\/(u*u\/(u*u**(-8)))))**(-6\/13)*(u**14)**22 assuming u is positive.\nAnswer: u**(3950\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -9*v**3 + 247*v**2 - 113*v + 111. Calculate y(27).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2547319 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 393 + -384. Let n(h) = 6*h - 16. Let q(a) = 12*a - 32. Let b(d) = 13*n(d) - 6*q(d). Is 14 a factor of b(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1398*l**4 - 34*l**3 + 872*l**2 + 1 wrt l.\nAnswer: 33552*l - 204","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-54)\/2700*-10*-95?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0.26, -2\/7, 10, 1 in descending order.\nAnswer: 10, 1, 0.26, -2\/7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 27148751 to the nearest integer?\nAnswer: 301","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15873 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -345, 7927 in descending order.\nAnswer: 7927, -3, -345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express d - 4*d**4 + 12*d**4 - 5*d**4 + d**2 - 6*d**4 + 8 as j*d + a*d**3 + c*d**4 + o + z*d**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**3 - 9*o**2 + 10*o - 12. Let z be (0 - 4)\/((-3)\/6). What is the units digit of x(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.237591 and -0.61?\nAnswer: 0.847591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*u - 17, 2*g - 3*g - 5*u + 1 = 0. Let p = 467 + -387. Let w = p + -26. Calculate the remainder when w is divided by g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - z + 2 - 2.\nAnswer: -4*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g + 2*s - 17, -s - 2*s = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -777, -740, -635, -426, -77?\nAnswer: 448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o + 11. Let h(x) = -2*x + 5. Let m = 57 + -60. Let r be h(m). Let b(f) be the first derivative of f**2\/2 + 4*f + 5. Determine r*b(v) - 4*p(v).\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -12 + 13. Which is smaller: t or -2\/37?\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 - (0 - -1)) + -17 + 30 + 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 219\/(-6570)*(3*3)\/((-69)\/46).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4018 to the power of 1\/2, to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*j**4 + 1452*j**3 + 1120*j + 6?\nAnswer: 72*j**2 + 8712*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-139993)\/14 + (-1)\/2. Round d to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 p when two letters picked without replacement from iipmpiibppop?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k + 4*q + 24 = 0, 104*q = 9*k + 107*q + 24 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + -4 + 11 - (-75 - -84). Calculate the greatest common factor of 344 and q.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ih when two letters picked without replacement from {i: 1, h: 4, a: 1, u: 3, p: 2, g: 1}.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*h - 2*h + 2*h)*(-h - 3*h + 2*h) + 0*h**2 + 0*h**2 - h**2 to g + i*h + p*h**2 and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-8)\/8*((-20)\/(-6))\/(-5)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 - 140145*s\/2 - 36099000.\nAnswer: -5*(s + 525)*(s + 27504)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55\/4*z - 35\/4*z**2 - 25\/4 - 5\/4*z**3 = 0. Calculate z.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17.13 - -17. What is the third biggest value in 0.5, -2, q?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 466490\/35 - 28\/98. Suppose 187*v - 204*v + p = 0. What is the hundreds digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.620481 rounded to 3 dps?\nAnswer: 0.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 i and 1 k when three letters picked without replacement from {f: 1, t: 1, q: 3, i: 8, p: 5, k: 2}?\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*x + 6*x - 2. Suppose 5*a = -2*f - x*f + 10, 0 = -4*a + 8. Solve -3*t - 1 + 13 = f for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 500929?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 111 + -283. Let j = n + 339. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/8 of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = d - 4*w - 6, 3*d - w = 13. Suppose 0 = -d*n - 3*u, -4*u = u + 20. Solve -6*b - 4*l = -n*b - 21, -5*l = b - 18 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6370335.7 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -62759634.4 and -3.\nAnswer: 188278903.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.4 and 1025527?\nAnswer: 1025527.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 378*c**3 + 220*c**3 - 1213*c**3 + 314*c**3.\nAnswer: -301*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 13 = 3. What is the remainder when k is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 31. Suppose 0 = -o - 4*u - 3, 5*u + 967 = 4*o + 895. Let d(r) be the first derivative of -r**2\/2 - 15*r - 3. Give o*d(x) + 6*f(x).\nAnswer: -x - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -10740000 to the nearest one million.\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4119994 a multiple of 584?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 5 + 8*q + 12 + 2.\nAnswer: 8*q + 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.01 - -2893228.94707\nAnswer: 2893228.95707","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1224\/238)\/(2\/(-12) + (-10)\/84).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 - 7*n**2 + 9*n + 12. What is v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30*s + 38*s + 34*s - 85*s.\nAnswer: 17*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.67 - 476.33. Let i = p + 485. Suppose 0 = 5*c - 4*s + 3, 2*s = -c - 4*c + 9. What is the closest to c in i, 3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2171394981 to the nearest integer?\nAnswer: 46598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 115014 and 4350?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**3 + b**2 + b - 1. Let k be i(1). Let p(h) = h + h**2 - 64 - k*h + 71 - 6*h. Let r be 0\/(-18) + 6 + 0. Give p(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(1\/7)*b**(-9)\/b)\/(b**0\/b)**5)\/((b**(-1)*b**(-1))\/(b\/(b**(-2\/11)\/b)*b)**25) assuming b is positive.\nAnswer: b**(5905\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 l when four letters picked without replacement from llllllnlllnllnl.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2090 - -2070) + (-1 - (-1 + -74))?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p**5\/7 - 88*p**4\/7 + 776*p**3\/7 + 8020*p**2\/7 - 38406*p\/7 + 29700\/7 = 0. Calculate p.\nAnswer: -50, -9, 1, 3, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 3*x + 51. Let d be z(-12). Solve -5*c = -10*c - d for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:29 PM and 12:15 AM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qttqttqtqttq. What is prob of sequence qt?\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32811 divided by -16126.\nAnswer: -32811\/16126","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t + 3*z - 1 = -3, 0 = 2*t - z - 8. Solve 0 = 2*i - x - 5, 12 - t = 3*i + x for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4.3915 + -0.3915. Which is the second smallest value? (a) 1 (b) -28 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + 423003041?\nAnswer: 423003041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -14 - -21. Suppose 50 = 85*q - 120. Solve q*y + 6 + 0 = -2*f, -f - c = -3*y for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(960) - -4*(sqrt(120)\/sqrt(2) + sqrt(60)))\/(sqrt(132)\/((sqrt(11) - sqrt(99))*5)).\nAnswer: -240*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -567365, -567377, -567377, -567365, -567341?\nAnswer: -567305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 20 and 5504?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 9418*g**3 + 2 - 9326*g**3.\nAnswer: 92*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-10)*v\/(v\/v**40) assuming v is positive.\nAnswer: v**30","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 1 + 0 + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -7*l**3 + 3*l**2 - 3*l - 1. Let z be g(-3). Suppose p + 0*p = 5*s - 591, 0 = -2*s + 5*p + 218. Let o be (-2)\/(-1) - z\/s. Which is bigger: o or -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15 - 10. Suppose 1 = -4*y - 36 - 63. What is the biggest value in n, y, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2184?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 457 minutes before 7:39 AM?\nAnswer: 12:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 11*o**3 + 19*o**2 - 2*o - 3. Let i(k) = 9*k**3 + 40*k**2 - 4*k - 5. What is -5*f(v) + 2*i(v)?\nAnswer: -37*v**3 - 15*v**2 + 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 95 - 137. Let r be d\/4*20\/(-10). What is the greatest common factor of r and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x**2 - 5*x + 2. Suppose -3*y - y - 20 = 0. Let g be w(y). Let v(u) = 6*u + 1. What is the remainder when 51 is divided by v(g)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/28416 and 69\/3897136.\nAnswer: 187062528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18329 is divided by 837?\nAnswer: 752","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 - 7*y**2 - y - 6. Let q be 6\/(2*12\/(-32)). What is the remainder when v(q) is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*s**3 + 156*s**2 - s**4 - 54*s**2 - 59*s**2 - 63*s**2 - 4*s + 9*s in the form j*s + m*s**2 + o*s**4 + v*s**3 + d and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d**3 - 3*d**2 + 4*d - 2. Let f be t(2). Let w(x) = x**2 + 6*x + 2. What is the remainder when 4\/(-20) + f\/5 is divided by w(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, m: 3, p: 4, e: 2, w: 7}. What is prob of picking 3 p?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/20*15\/(-2)*-4.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - o**2 + o + 8. Let z be h(0). Let x = z - 4. Suppose 5 = -y, x*f + 2*y = 3*y + 13. Calculate the smallest common multiple of f and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-50)\/(-180)*99*(-2)\/(-5). Let j(x) = 7*x - 3. Let v be j(2). List the prime factors of v\/i*(-17)\/(-1).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -51, -87, -121, -153, -183?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**3 - 17*g**2 - 16*g + 10. Let r be o(-15). Round r to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyywbhyhhhrh. Give prob of picking 1 r, 2 h, and 1 y.\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 8*m - 219007, -2*y + 109688 = 4*m + 182. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/10)\/j**(-4))**(-37) assuming j is positive.\nAnswer: j**(-1591\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1641*c - 103040 = -23*c + 958*c for c.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -9606287 and -0.6203?\nAnswer: 9606286.3797","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9 times -501?\nAnswer: -951.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2 + 83*h - 140.\nAnswer: -2*h + 83","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 6*h + 2*a - 4, 0 = 3*h - 2*a + 4. Suppose 5*v = -4*y + 113, h = 6*v - 2*v - 3*y - 78. Round v to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.048 + 0.048. What is the closest to 2\/7 in -0.3, 0.1, c?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 5*n**2 + 107235*n + 107230 = 0.\nAnswer: -21446, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 115\/738 and -107\/278472?\nAnswer: 835416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 28\/3? (a) 0.1 (b) -3\/7 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/17)\/b*b**9)\/(b**(-17)\/b*(b\/(b*b**(-2\/27)))\/b) assuming b is positive.\nAnswer: b**(12278\/459)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**2 + 13*t - 1. Give r(7).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -4, -0.062, 112\/1177?\nAnswer: 112\/1177","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.4? (a) 5\/2 (b) 27 (c) 36 (d) -2\/19 (e) 0.1 (f) 2\/29\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 - 8*g**2 - 8*g - 4. Let b be j(9). What is the derivative of 0*x**3 - b + 1 - 6*x**3 + x**3 wrt x?\nAnswer: -15*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4683 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -8.52883 equal to -94?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2\/7 (b) -4\/7 (c) -16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1116, -4, -2, -1, 2\/19 in descending order.\nAnswer: 1116, 2\/19, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -401 + 854. Is 17 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes before 6:27 AM?\nAnswer: 1:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 1 (b) -1\/4 (c) -2\/9 (d) -1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (2\/(-10))\/((-12)\/15). What is the nearest to v in -1\/5, -0.3, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 14\/9 of a day?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 564156763 to the nearest integer?\nAnswer: 826","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 199 and 3166886.\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k + 4*w = -6*k - 30, 5*k = 2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 1123 divide 66080436?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 804 + -469. Let z = 390 - r. Calculate the greatest common factor of z and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -8*u. Let k(w) = 3*w**2 + 108*w. What is k(h(v))?\nAnswer: 192*v**2 - 864*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from {m: 7, t: 1, y: 2}.\nAnswer: 7\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 8 = -4*j, 0*b - 3*b = -j + 2. Suppose 3*l + 0 - 12 = b. Let f(p) = -3*p - l*p + 4*p - 4*p. Give f(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(128) + -1 + (-3*sqrt(2)*2 - (sqrt(2)*-2 + -4)).\nAnswer: 4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*w**5 + 324433*w**4 - 42*w**3 + 1749*w**2 + 4*w - 1950 wrt w.\nAnswer: -120*w**2 + 7786392*w - 252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1700 and 12988?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2127, 4019, 5911, 7803?\nAnswer: 9695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) 15 (c) -0.3 (d) -109 (e) 3 (f) -2\/27\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 7, 8, 1, -2068, 3 in decreasing order.\nAnswer: 8, 7, 4, 3, 1, -2068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 - (-6)\/((-5)\/5*2).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**3 - 14*x**2 - 13*x - 36. Let q be h(15). Let z(p) = -2*p**3 - 6*p**2 - 2*p - 25. What are the prime factors of z(q)?\nAnswer: 7, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -120312110 (base 4) to base 3\nAnswer: -12011121122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*p - b + 11244, 7479 = 4*p - 2*b - 7523. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1 from 35006300745.\nAnswer: 35006300746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 34 + 6 = 0. Suppose 5*a = -5*y, -d - 16 = -5*y + 3*a. Factor -3\/7*b**y - 3\/7*b**2 + 0 + 3\/7*b**4 + 3\/7*b.\nAnswer: 3*b*(b - 1)**2*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.1 - -0.100007. What is u 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 remainder when 119524 is divided by 13275?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/130)\/((-96)\/(-208)).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 25 = 19. Suppose -l - q - 2054 = -j*q, -3*l - 6210 = q. Let g = l + -1731. What is g rounded to the nearest 1000?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 4:17 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -26971 * -5.7\nAnswer: 153734.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -4, -2, 10, 38, 88?\n\"Answer: g**3 - g**2 - 2*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1000110010 (base 2) to base 12\nAnswer: -3aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/(u**15\/u)))\/u)\/(u**(3\/10)*u*u))\/((u\/(u**(-1\/12)\/u)*u)\/(u**(-12)\/u)) assuming u is positive.\nAnswer: u**(-323\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.6 + -103. Let j = y - -74.407. Let b = -0.093 - j. What is b rounded to the nearest integer?\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 20 = -4*m, 6*n + 27 = 5*m + 4*n. Solve -5*i + m = 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18594?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.004? (a) 2\/31 (b) -0.4 (c) -11 (d) -1\/2 (e) -2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 77, 156, 233, 308, 381?\nAnswer: 452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.4 times 107.84\nAnswer: -43.136","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z**3 - 2*z**2 - 337*z - 2. Let k(l) = -2*l**3 + 3*l**2 + 338*l + 3. Give 3*j(m) + 2*k(m).\nAnswer: 2*m**3 - 335*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1422 and 79?\nAnswer: 1422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 + 1093620*f**2 - 6561828*f + 9842796 = 0. Calculate f.\nAnswer: -273411, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5143783, 10287566, 15431349, 20575132?\nAnswer: 25718915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d - 4*g + 5*g - 75, 0 = -3*g. Let f = -4 + 9. What is the greatest common divisor of f and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*o - 16 = -2*l, -2*o - 8 = -4*l. Suppose l = -3*u + 1 + 2. What is the units digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**2 - 5*g - 7. Let n(o) = 1. Let d(r) = -r**2 - 4*r - 4. Let u(y) = d(y) - 2*n(y). Let a = -174 + 180. Determine a*u(b) - 5*j(b).\nAnswer: -b**2 + b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 2:00 PM?\nAnswer: 9:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the first derivative of -2*l**3\/3 - 5*l**2\/2 - 3*l - 4. Let k be t(-3). Let d(y) = y + 1. Give d(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzlz when four letters picked without replacement from lzlzzz.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 6779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence um when two letters picked without replacement from wucrwmrccgmc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 - 34*n**2 - 591*n + 51. Give m(-13).\nAnswer: -209","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 91, 412, 991, 1864, 3067, 4636, 6607, 9016?\n\"Answer: 6*d**3 + 93*d**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6054867 rounded to zero decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -14.8273 (b) 0 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - o - 22 = 0, 3*o = t - 2*o - 12. Suppose 0 = t*l - 3*l - 32. Calculate the lowest common multiple of l and ((-14)\/(-6))\/((-7)\/(-21)).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*l = 2*l - 2*j - 1654, 0 = -4*l - 4*j - 1660. What is the common denominator of (l\/216)\/((-1)\/(-3)) and 6\/(32*2\/(-14))?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*r + 41422 = 58*r + 71*r. What is the remainder when 1113 is divided by r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129284293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8064 + -7799. Calculate the highest common factor of 105 and o.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 183200955 to the power of 1\/3, to the nearest integer?\nAnswer: 568","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 52946407?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3849*r + 132452*r + 1 + 42837*r.\nAnswer: 179138*r + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 8*v**3 - 273*v**2 + 60*v - 890. Give z(34).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 204131 (base 6) to base 4\nAnswer: 10001113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1 - 1.1. Let a = -2833 - -2833. What is the closest to a in 3, 2\/5, v?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 3. Solve -d*k = 2*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*a - 41813, -2*a + 6645 = -u + 48438. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8016175?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = t**3 + 418*t**2 + 1670*t - 11. Determine j(-4).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 270 - 143 = 145 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1)\/f)**(-2\/21) assuming f is positive.\nAnswer: f**(4\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2238 = -1710*c + 9767*c + 2475 + 3344 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -34407*t**4 - 307*t**2 - 2.\nAnswer: -825768*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -12*n + 16*n. Suppose 2*l = -6, -40 = -0*u - 2*u - 4*l. What is the remainder when u is divided by n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 97 = -16. What is the greatest common factor of w and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10 - 46 + 11)*(2*d**3 - 5*d**3 + 6*d**3).\nAnswer: -135*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 470781365*v - 144561777 wrt v?\nAnswer: 470781365","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32197671 + -1.2.\nAnswer: 32197669.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -710, -1423, -2134, -2843, -3550, -4255, -4958?\n\"Answer: n**2 - 716*n + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/7882 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m + 14 = -40. Suppose 3*d + 19 = -20. Let z = d - m. Solve -j + z = -0*j - w, 3*j + 4*w + 20 = 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 11 and -6591 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 166029, 332116, 498261, 664464, 830725, 997044, 1163421?\n\"Answer: 29*r**2 + 166000*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z - 7*z + 18*z)*(-3 + 3 - 2*z).\nAnswer: -60*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 6*v**2 + 80*v + 243. Let q be m(-9). Solve -140 = 19*s + q*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.034, -12\/11, 4, 3 in increasing order.\nAnswer: -12\/11, 1.034, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1030399)\/(-7) - -1*(-6)\/(-42). Round b to the nearest 1000.\nAnswer: 147000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -476*o**3 - 4*o**2 - 5*o + 4. Is u(-3) a multiple of 151?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 33.6 - 33.6. What is the closest to -2.4 in -4, k, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2 + 24*y + 14. Let h be u(-16). Suppose -x + 4*o = 65, 2*o + h = -2*x - 2*o. Let r = x + 70. Which is the closest to r? (a) 0.1 (b) 0 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7469 (base 10) to base 14.\nAnswer: 2a17","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*h**2 - 2*h**2 + 3 + 0 to f*h + q*h**2 + b and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -20700 to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -83 - -94. Let v(w) = 16*w + 14. Let n(h) be the second derivative of -h**3\/2 - 3*h**2\/2 - h. Let k(l) = s*n(l) + 2*v(l). Give k(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 78 and 10374.\nAnswer: 10374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 10*u**3\/3 - 6*u + 2. What is the first derivative of a(x) wrt x?\nAnswer: 20*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 12 = 2*g - 2, g + 2 = -b. Let p = b + 6. Solve p*a - a = -3 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 567 + -49453?\nAnswer: -48aa8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*x - 5*x = 1295. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 291833445 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.1 - 6. Let f be (-56)\/(-3)*(-90)\/(-8). Let q be 6\/10 + (-91)\/f. Which is the closest to w? (a) -5 (b) 1\/2 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37646 and 40838.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40 - 36. Is 13\/5 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2*u + 3. Let a(g) = g + 1. Suppose -b + 24 = 5*v - 0*b, -4*b + 16 = 4*v. Suppose -3*o + 6 = -5*z - 3, -2*o + 5*z = -11. What is o*s(i) + v*a(i)?\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17\/2188748 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*f - 3*w - 10, 0 = 4*f - w - 13. Solve 0 = f*h - h - 3 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -27 + 27 - 90*t in the form v + l*t and give l.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o - 2. Let n(m) = -4*m. Let v be n(-1). Let h be j(v). Solve -h*f + u = -4*f + 14, -3*f + u + 11 = 0 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*l**2 + 63*l**2 - 6*l + 24*l**4 + 2 - 3 wrt l.\nAnswer: 288*l**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (16\/(-12))\/((-110)\/15). Let l = 39 - 235\/6. Which is the nearest to 0.4? (a) k (b) 2\/7 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - ((-2 - 1) + 0 + 1 + -4).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48648*u - 8 + 7 + 1.\nAnswer: 48648*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 2453087.97 nanoseconds?\nAnswer: 0.000000028392221875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -28 + 12 + 10?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -131\/444 and -19\/6.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 PM and 3:58 AM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-4\/3))**(17\/2)*p\/(p\/p**(1\/5))*p*p**(5\/3)*p*p assuming p is positive.\nAnswer: p**(-97\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (162\/42 + (-1)\/(-7)). What is the closest to -2\/17 in w, -4, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 1058*a**3 - 2005*a - 5. Let u(x) = -3174*x**3 + 6013*x + 16. Let q(c) = 16*i(c) + 5*u(c). What is the second derivative of q(z) wrt z?\nAnswer: 6348*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r*r**(-2\/19))\/r*r)\/r**(2\/5))**(-2\/99) assuming r is positive.\nAnswer: r**(-284\/9405)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22370 or -1764.6?\nAnswer: -1764.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/5, -1, 0.2, 5, -59, -3, -1\/45?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 286 + -264. Solve 38 = -4*f + 4*s + 2, -3*f + 2*s = c for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/12, -8, -10, -23\/2, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1039 - -1?\nAnswer: -1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 9.153131 micrograms?\nAnswer: 0.000009153131","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 12*s - 8. Let z be g(2). Let n(v) = -v**3 + 4*v**2 - 5*v + 3. Let p be n(3). Is ((-12)\/z*-449)\/(p\/(-4)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.38, -1, 2\/5 in descending order.\nAnswer: 2\/5, -1, -1.38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 1 = 5. Let m(k) = -33*k**2 + 4*k - 2. Let v be m(t). Calculate the remainder when 4\/(-10) + v\/(-15) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*p - 4*p - 2*p)*(0 + 0*p**2 + 6*p**2 - 2) to k + q*p**3 + a*p + i*p**2 and give a.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4390262?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 3*n**2 - 26722*n + 213581. Calculate d(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 4 - 2 - 7*d - 10. Let l(o) = 68*o + 1925. Let m(j) = 45*j + 1206. Let s(z) = -5*l(z) + 8*m(z). Calculate 6*s(r) + 17*u(r).\nAnswer: r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -18, 0.4, 474?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 97 - 93. Suppose 0 = -3*a + d + l*d + 94, -4*d - 29 = -a. Calculate the remainder when a is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 4*c**5 - 18948*c**4 - 108*c**3 + 511396*c**2 + 947304*c + 454752 = 0.\nAnswer: -4, -1, 6, 4737","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 9*f + 162 = -134, -3*f + 92 = -i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 + -80)*((-10)\/4 - -2). What is the highest common factor of 351 and r?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 138 + -74. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 5*o + 746 + 244 = 0, 0 = -3*x - 3*o - 576. Calculate the common denominator of -49\/18 and x\/(-10) - 6\/2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 751989.\nAnswer: 3, 7, 35809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 988056 is divided by 988041.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 10*w - 62 + 22. Solve 5*z + 3*x = 20, 0*z + w*x - 12 = -3*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 p when two letters picked without replacement from {v: 2, d: 3, p: 1, s: 7, f: 4}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in eleven tenths of a millisecond?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29801181 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine f so that 5*f**5 - 26890*f**4 - 3237785*f**3 - 26688530*f**2 + 29953200*f = 0.\nAnswer: -109, -10, 0, 1, 5496","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3 - (-20)\/8)\/(2\/120). Let f be 1\/4 + ((-175)\/(-20) - -6). Suppose 13*u = f*u + 58. Is u equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*u - 126 - 162 = 0. Is 16 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 7673 and -3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 1862\/17 (c) -1628\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from ccccccccc?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 4*y**2 - 2*y - 20. Let d be x(5). Calculate the greatest common factor of d and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, k: 2, m: 13}. Give prob of sequence kmm.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -3*f + 1. Suppose 2*n - 3*j - 6 = -n, 5*n - 22 = -j. Suppose -4*k = -0 - n. Calculate h(k).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*h + 3*h + 3*h)*((2*h + 0*h - h)*(2 + 2 - 5) + 13*h - 19*h - 16*h) as a + k*h**2 + o*h and give k.\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4901299*t**3 + 10916192*t.\nAnswer: 29407794*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3607 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 2*t + 2*t + (-2 + 2 + t)*(-t + 0 + 0) - t**2 + 3 - 3 - t - t**2 - t**2 + 0*t**2 in the form u*t + y*t**2 + r and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*k)*(0 - k + 0) - 4*k**2 + 0*k**2 + 3*k**2 - 139*k + 139*k - 16*k**2 + (-4*k**2 + k**2 + k**2)*(-2 + 4 - 3).\nAnswer: -17*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-1))**(1\/60))**(-9))**(4\/11) assuming z is positive.\nAnswer: z**(3\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*z + 3*z + 2*z)*(2*z**2 + z**2 - 2*z**2) + 1040*z - 1040*z - 40*z**3 to j + t*z + n*z**2 + g*z**3 and give g.\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 3*h + 15 = 0, -2*z = 3*z - 3*h + 17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*j + 6*j + 2*j**2 + 16 to z + u*j**2 + v*j and give z.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 16074221 + -7535721. What is z rounded to the nearest one hundred thousand?\nAnswer: 8500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1\/4))**32\/(a**(-6)*a**(-2\/3)*a) assuming a is positive.\nAnswer: a**(89\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1367*q - q**2 + 0*q**2 - 513*q to the form a*q + g + x*q**2 and give a.\nAnswer: 854","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 1, c: 3}. Give prob of picking 1 j and 1 c.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 100110110 (base 2) to base 9\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 24, 22, 20, 18?\n\"Answer: -2*i + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -12*h - 119. Let k be l(-9). Let r(y) = -y**2 - 8*y + 36. Let p be r(k). Solve d + 2*w = 8, d + p*w + 0*w = 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18034434 = 400*x - 9528981 + 7161415. List the prime factors of x.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 56 and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*f**2 + 0 - 2\/3*f.\nAnswer: -f*(f + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-8) - 1230\/24. Let d = 110 + v. Suppose 0 = -4*n + u + 20 + 46, -d = -3*n - 4*u. What are the prime factors of n?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 98, 1, -19418, 3 in increasing order.\nAnswer: -19418, 1, 3, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/3 + 11092*q\/3 + 30758116\/3.\nAnswer: (q + 5546)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 31 - -297. Suppose -3*q + 3*p = -p - 326, -3*q = -2*p - a. Suppose -q = -5*m - 45. What is the remainder when m is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 + 82*p**2 - 8*p + 1. Let u(j) = -14*j**3 - 247*j**2 + 22*j - 2. Determine -22*l(h) - 8*u(h).\nAnswer: 2*h**3 + 172*h**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5)\/((-70)\/12) + (-2 - -1). Let k = 322.2 - 324.2. Which is the closest to 7? (a) k (b) g (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**3)**(-1\/2)\/(o*o**(-2\/3)\/o)**(36\/7) assuming o is positive.\nAnswer: o**(27\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*w**4\/5 - 1504*w**3\/5 - 9892*w**2\/5 - 12408*w\/5 - 4356\/5 = 0 for w.\nAnswer: -11, -3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 122 and 21343046.\nAnswer: 21343046","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 3*m**2 + 23*m + 4. Is b(-17) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 5*o**2 + 256*o + 56. Let a be k(-51). Solve -a*f + 0*f + 5 = -5*b, -4*b + 41 = 5*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 78517*p**2 - 15671 wrt p?\nAnswer: 157034*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 547105338 divided by -65553.\nAnswer: -8346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**4\/2 + 9*r**3 + 36*r**2 - 42. What is the second derivative of j(o) wrt o?\nAnswer: -12*o + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 3*o + s - 13, -20 = -o - 5*s. Suppose 4*v - 4473 = -o*v. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-2\/15)\/l*l)**(-10)*l\/l**(2\/23)*(l*l**(-2\/3)\/l*l)\/l assuming l is positive.\nAnswer: l**(109\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -14 - (-7 - (18 - 17))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 329475*q**2 + 6*q**4 - 5*q**4 + 98010*q - 1149*q**3 + 113052*q + 119563*q.\nAnswer: q*(q - 575)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -33*l + 13. Let s be p(7). Let i = -207 - s. Is i even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 times -0.18?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6*257.\nAnswer: -154.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 8, b: 2, p: 8}. What is prob of picking 2 b?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 32747 and 229?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine d so that -2*d**5\/3 - 110*d**4\/3 - 854*d**3\/3 - 1178*d**2\/3 + 856*d\/3 + 1288\/3 = 0.\nAnswer: -46, -7, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 15, 13, 7, -3?\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2 + 6*g + 12. Let d be r(9). Let f = 33 + d. Let s = f - 11. What are the prime factors of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/((-3)\/70)*-13*(-10)\/(-325). Let z(p) = -p**2 + 29*p - 16. Calculate z(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9464880.05 rounded to the nearest one thousand?\nAnswer: -9465000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 486, 3\/13 in decreasing order.\nAnswer: 486, 5, 3\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.5 + 7. Let b = 0.4 - 1.4. Let k = b + f. Sort k, 0.2, -2 in descending order.\nAnswer: k, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by -2438\nAnswer: -1\/2438","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 4 = 5*l - 2*l, l = 5*k - 5. Let n = 0.29 - -0.01. Let d = -0.1 + n. Which is bigger: k or d?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b**3 + 4*b**2 - 4. Suppose 0 = t + t + 5*h + 33, -2*t - 3*h = 31. Let d = 17 + t. What is the lowest common multiple of l(d) and 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2068, 4138, 6208?\nAnswer: 8278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**3 - q**2. Let d(x) = -5*x**3 + 5*x**2 - 3*x - 8. Let v(u) = -d(u) - 6*i(u). Let f be v(4). Is ((-80)\/f)\/((-6)\/(-63)) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2)\/j)**(-4\/23)\/((j\/(j**6*j))\/j*j\/j**(-3\/2)) assuming j is positive.\nAnswer: j**(231\/46)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**2. Let c(l) = 7*l**2 - 18. Give v(c(o)).\nAnswer: 49*o**4 - 252*o**2 + 324","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 = 5*n - 12, -5*z - 5*n = -1175. Solve 0 = 28*k + 51*k - z for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2903 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 + 2*q. Let b(h) = -h - 1. Let k be b(-2). Suppose 4*p - 30 = -2*a, -3*p + 17 = a - k. Calculate the least common multiple of u(1) and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5129 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5827844 rounded to one dp?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (2 - -1) + (-7 - -7). Suppose -2*l = n*l - 60. What is the remainder when (-1)\/(-4) + (-1969)\/(-44) is divided by l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q = -15, 0 = h + 2*q - 12 + 2 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 40.34595 millilitres?\nAnswer: 0.04034595","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 30 = 4*x. Let a = x + 4. Let m = 11 - a. Calculate the remainder when m is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 582, 1865, 3948, 6831?\n\"Answer: 400*p**2 + 83*p + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (24 - 14) + 8 - 13.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/16*-42*4\/(-3). Factor 0*n + 0 + z*n**4 - 5\/2*n**3 - n**2.\nAnswer: n**2*(n - 1)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11803 = 1048*x - 1367*x for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/879 in 2, -0.5, -4\/7, -0.1, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -23450 (base 6) to base 8\nAnswer: -6526","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 21663189 to the power of 1\/2, to the nearest integer?\nAnswer: 4654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 64873 divided by 12.\nAnswer: 64873\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 11 + 47. Let o be (34\/(-3))\/(6\/c). What is the units digit of (-1)\/(-3) - o\/3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 401 minutes before 2:58 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**18\/(n**(11\/4)*n))\/(n**4\/(n\/(n\/(n\/(n**0\/n)*n))*n)) assuming n is positive.\nAnswer: n**(57\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -5*l**3\/3 + 57988*l**2 - 220329*l - 139156\/3 = 0.\nAnswer: -1\/5, 4, 34789","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 17\/2848 and 47\/37024.\nAnswer: 37024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 568060 divided by 142015\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 190579485 to the nearest integer?\nAnswer: 13805","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, 93, 269.7, 19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of v**4\/16 + v**3\/12 - v**2\/8 - v\/4 + 12. Factor q(h).\nAnswer: (h - 1)*(h + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6631 or 6591?\nAnswer: 6631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-310)\/(-465))\/((-2)\/(-27))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 3, o: 2, q: 5}. What is prob of sequence qx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = x - 4*o - 76, x + o + 15 = -4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 14 + 39 = 0. Suppose 0 = -c*w - 2 + 17. What is the first derivative of 6*o**w - 4 - 2*o**3 + 9 wrt o?\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -194 - -196. Suppose -3*h - 4*r = -1552, h - 3*r + n*r = 522. List the prime factors of h.\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of 0*s**5 - 19\/2*s**2 + 0*s**4 + 0*s**3 + 13\/6*s**6 + 5 + 0*s. Find the second derivative of y(t) wrt t.\nAnswer: 260*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175246, 350492, 525738?\nAnswer: 700984","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gay when three letters picked without replacement from {g: 2, y: 1, d: 1, a: 11}?\nAnswer: 11\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1d9ec - ba3?\nAnswer: -1e6a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t**(-6)*t))**42 assuming t is positive.\nAnswer: t**252","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5 and 215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(-5)*p**(-3\/7))**7*(p*p\/p**(1\/6)*p*p**(-2\/3)\/p)\/((p**1\/p)\/(p**5\/p)) assuming p is positive.\nAnswer: p**(265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -2*i - 23. Let d be a(-17). Suppose -o - d = 4*c - 107, 5*o - 480 = 4*c. Is o even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.2, -2\/3, 65, -38?\nAnswer: -38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (27 - 12) - -15?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -11*k + 128. Let y be i(9). Suppose 0 = -15*l - 11*l + 52. Solve 2*m - 5*m - 19 = l*b, 0 = -4*b - 3*m - y for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -371 = 4294*b - 4347*b + 636 for b.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:45 PM and 11:43 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6627204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 4*d**2 + 5*d - 6. Let j be h(4). Let q = 1999 + -1996. Solve -j = -q*k + 1 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*((-2 - -2) + -166). Let w = p + -25. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 948, -2, 0, -18, -38 in decreasing order.\nAnswer: 948, 0, -2, -18, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1 and 19.83.\nAnswer: 19.83","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 57\/114*(-17)\/(-34).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is (((-865140)\/18)\/(-5))\/(4\/6) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - (-1 + 1 + 0 + -3).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) be the first derivative of 14*q**3\/3 + 7*q**2\/2 - 24. What is the second derivative of c(v) wrt v?\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 864 and 954?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 66900 and 52.\nAnswer: 869700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21336 + -18162. Does 69 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = 4*g - 18 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 11, 30, 49, 68?\n\"Answer: 19*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9545302?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*y - 0*i + i, -4*y + 2*i = -10. Let m(l) = -l**2 + 11*l - 2. Let s be m(11). Which is the closest to -2\/3? (a) y (b) -0.5 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and (-11 + 9 - 4) + 732\/1?\nAnswer: 2178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 5*t**2 + t + 5. Let g be i(-5). Solve q - 6*q = g for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 197 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 14923 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-126712)\/6740)\/((4\/(-20))\/((-3)\/(-6)))?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**(-11)*g*(g*(g\/(g*g**(-1)*g))\/g)\/g*(g**5\/g)\/(g\/(g*g**(-11))) assuming g is positive.\nAnswer: g**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4186636, 4186634, 4186632, 4186630?\nAnswer: 4186628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n - 6*y + 3*y + 9 = 0, 2*n + y = 0. Suppose -691*l = -699*l - 112. Which is the closest to n? (a) -2\/7 (b) l (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*s**3 - 168*s**2 - 28*s - 2 wrt s.\nAnswer: -12*s - 336","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3640.801km?\nAnswer: 3640801000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 8269104 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 times -2.6\nAnswer: 20.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -2*o - 3*o - 10 + 4*o. What is the units digit of z(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*u = -57*u - 255 + 1335. Solve -11*g - u*g - 41 = 0 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 156 = -0*v. Let z = -24 - v. Let a be (20\/(-7))\/((-8)\/z). What is the greatest common divisor of a and 80?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1289624.\nAnswer: 2, 7, 23029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the third derivative of -d**4\/24 - d**3\/6 + 2*d**2. Let k be f(-3). What is the units digit of (-29)\/(-4) - k\/8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-32)\/20)\/(36\/(-90)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -80\/63 + 14\/9. Which is the nearest to i? (a) 5 (b) -1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c**2. Let o(q) = 517375 - 517375 + 73*q. Determine o(x(z)).\nAnswer: 219*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/(b*b*b**3\/b)*b*(b*b**(1\/4)*b*b*b)\/b assuming b is positive.\nAnswer: b**(5\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((-5*1*sqrt(143) - sqrt(143)) + sqrt(143)))\/(sqrt(11)*-2*-6 - ((sqrt(539) - sqrt(539)*-2) + sqrt(539))).\nAnswer: -5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1583169068.\nAnswer: 2, 13, 30445559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -11. Let p = 48 + z. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -5, -1.\nAnswer: -5, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -18*i + 2. Let z(u) = 2*u + 1. Give -d(g) - 3*z(g).\nAnswer: 12*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -130369, -522467, -1175965, -2090863, -3267161, -4704859, -6403957?\n\"Answer: -130700*x**2 + 2*x + 329","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0.5, -2\/7, -166, 1\/7 in increasing order.\nAnswer: -166, -3, -2\/7, 1\/7, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1568026 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 1 + 2)*(1376*q - 1462*q - 2349*q)*(-1 + 2 + 0) to the form c + u*q and give u.\nAnswer: -2435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 51, 89, 125, 159, 191, 221, 249?\n\"Answer: -r**2 + 41*r + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 125\/5*(-4)\/(-10) is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 10, -5 in descending order.\nAnswer: 10, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8 - 4*o + 514*o**4 - 515*o**4 + o - 5 - o**2 to the form l*o**2 + d*o**4 + k*o**3 + x*o + t and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, -35.\nAnswer: -35, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -86 - -88. Let d(a) = -7*a - 5. Suppose -2 - 13 = 3*b. Let m(q) = -3*q - 2. Give b*m(l) + h*d(l).\nAnswer: l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + (sqrt(38)\/sqrt(2))**2 + -5 + -4 - ((sqrt(228) - (sqrt(228) + -3*(sqrt(228) - 2*sqrt(228)))) + sqrt(228))\/sqrt(12).\nAnswer: 10 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3)\/2*((-5236)\/(-21))\/(-11). Suppose -3*c - 39 = -g - 9, -g - c = -z. Suppose -6*o - g = -9*o. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 - 21*p + 877. Give a(19).\nAnswer: -244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100101000011 + -11?\nAnswer: -111100101000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1\/p**8*(p\/(p\/(p\/(p**(-6\/11)\/p)))*p)\/p**(1\/5))**40 assuming p is positive.\nAnswer: p**(-1608\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/(-4)*2)\/(3*44\/(-132))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2806296 is divided by 22.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/3 (b) -2\/109 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6219.\nAnswer: 3, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oyn when three letters picked without replacement from onnnnynbobny?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -22\/369339 greater than or equal to -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5509?\nAnswer: 7, 787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**2 + 228*l - 720 = 0. What is l?\nAnswer: -60, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is x in 3*x**2\/5 + 288912*x\/5 - 4337055 = 0?\nAnswer: -96379, 75","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = 3*x - 5. Let p(l) = 12*l. Give p(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1575 + (6 - 13) - -7.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2 - 138*u - 1877. Calculate the remainder when 606 is divided by a(-22).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a millennium in decades?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, w: 4}. What is prob of sequence xw?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (69\/(-575)*110)\/(8\/20)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -197 (base 11) to base 5.\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyjiish. Give prob of sequence svj.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 404 + 1218. Suppose q = 8*x + 142. Is 37 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9094 + (-6 - 54\/(-9)) - (4 + -1).\nAnswer: 9091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146*j + 913 = -848 + 9 for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 22\/511 in 0, 0.2, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does -87826244 = -87826244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 18 + 544*m - 2*m**2 + m**2 - 462*m.\nAnswer: m**2 + 82*m + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zmp when three letters picked without replacement from {z: 2, m: 4, a: 1, p: 7, w: 2, l: 1}.\nAnswer: 7\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/(o*o**18))\/o*o)**18\/(o*o**(-3)*o\/(o**0*o)) assuming o is positive.\nAnswer: o**(-322)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0003702952 to 6 decimal places.\nAnswer: -0.00037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10821746 is divided by 3509.\nAnswer: 3499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 115786?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r\/(r**(-1)*r)))\/r*r)**(-4\/3)\/(r**(1\/5)*r)**41)**(-2\/33))**(-12) assuming r is positive.\nAnswer: r**(-1968\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21022020222011 (base 3) to base 15.\nAnswer: 51a621","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10224 - -2?\nAnswer: -10222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(-1\/2)\/s)\/s)**13*s**(-1\/5)*s*s**1 assuming s is positive.\nAnswer: s**(-307\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*g*g\/g**1)\/g*(g\/g**2*g)\/g)\/(g\/(g**1*g))**(-12\/11) assuming g is positive.\nAnswer: g**(-12\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 9 = -5*b + 24, 3*q - 13 = 2*b. Let x be 0*(b - 0) - -1. What is the highest common factor of x and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3108?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 3, e: 13}. Give prob of picking 2 j and 1 e.\nAnswer: 39\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 108 + -82. Let s be -50*84\/(-10) - -9. Calculate the greatest common factor of z and s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 3*g**2 + 5*g**2 - 3*g**2. Let f(y) = y**2. Suppose 3 = -l - 1. Let s(k) = k + 3. Let x be s(l). What is x*p(b) + 4*f(b)?\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 131a0 (base 13) to base 6\nAnswer: 432043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 62*r - 5. Let h be b(-3). Let l = h - -113. Round l to the nearest ten.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -140*i. Let l(u) = -68*u**2 + 3*u - 59. Calculate v(l(x)).\nAnswer: 9520*x**2 - 420*x + 8260","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/(8\/18)*2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 2*a**3 - 314*a**2 - 1711*a + 268626. Calculate f(157).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 - -0.9. Let x = p - 0. Let u = 122\/5 - 24. Which is the closest to u? (a) 4 (b) x (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 124*f**2 + 2*f + 2*f**3 + 5 + f - 6*f + 2*f - f to the form c*f + y*f**3 + x + z*f**2 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2551*q**2 + 5*q - 19?\nAnswer: 5102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1820 divided by -910?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 74\/8579505 and -117\/110.\nAnswer: 17159010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w + 0*n + 2*n = -6, -2*n - 6 = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1905.8 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(539))*-6 - sqrt(539)) + 1)**2*-1 + -4*(5 + 0 + (1 + sqrt(1584) + sqrt(1584))**2).\nAnswer: -51780 - 94*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 317 + -210. Suppose 0 = p + 5, 0*p - 98 = -4*i + 2*p. Suppose -5*y + m = i. Is y a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 774.5724 tonnes?\nAnswer: 774572400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**2 + 60*r + 20. Let h be w(0). Solve 59*j - 69*j - h = 0 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37604 is divided by 26?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-8)\/20 + 2 + -1. Let k be 110\/6 + 17\/(-51). Let q be (k\/60)\/(12\/16). Sort 2\/7, l, q, 2.\nAnswer: 2\/7, q, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 - ((-6)\/15 + 60\/25). Suppose b = -2*g - 4*f - 126, 2*g = 3*g + 5*f + 63. Calculate the remainder when 18 is divided by (-3 - g\/15)*5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*-1.2\nAnswer: -4.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 22, 28, 36?\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - -15) + -11 - ((-11 - (-7 - 6)) + -119).\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 33518?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 14*b**2 - 7*b. Let q(d) = 13*d**2 - 6*d. Let n = 4 - 11. Let w(o) = n*q(o) + 6*r(o). Let v(z) = 2*z. Determine v(w(j)).\nAnswer: -14*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = 206*k - 7419. What is t(37)?\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -l + 27 - 7. What is the least common multiple of l and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95084 and 396.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98760750.\nAnswer: 2, 3, 5, 11, 11971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -8*x - 7. Let d(v) = v + 1. Let w(k) = -51*d(k) - 6*p(k). Let m be w(-4). Let s be 4\/10 + (-6)\/(-10). Sort 4, s, m.\nAnswer: s, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8532 = 4*z + 4*y, 72*z - 5*y - 8487 = 68*z. Calculate the greatest common factor of z and 48.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 7:41 AM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.12 from -748039.607.\nAnswer: -748039.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-37*j + 19 - 36 + 15 - j + 0*j - 6*j + (-2 + 2 + 1)*(-3*j + 2*j + 2*j) - j - 3*j + 2*j)*(0*j + 0*j - 2*j)*(-4 - 3*j + 4).\nAnswer: -270*j**3 - 12*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate h*i*u - 2*h*u**3*x - 12*h*u**3 + 5*i*u**2 - 3*u**3 + 2*u*x + 3*u wrt h.\nAnswer: i*u - 2*u**3*x - 12*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30648919?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39 divided by -4.\nAnswer: -39\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 51806 is divided by 603?\nAnswer: 551","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 22791, 23666, 26033, 30636, 38219?\n\"Answer: 124*s**3 + 2*s**2 + s + 22664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 511 is divided by 54.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -4*a**4 - 26568*a**3 + 292592*a**2 - 931320*a + 665300 = 0.\nAnswer: -6653, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*d + 0*d - 4*d)*(5 - 5 + 1) - 1 + 4 + 15*d - 9*d.\nAnswer: 4*d + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -74*d**2 + 3988*d + 436. Calculate n(54).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from blllellbeleelb. Give prob of sequence le.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.01 (b) -1\/2 (c) -0.4 (d) 0.1894\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 74 - -478. Suppose 0 = -21*i + 15*i + v. Does 23 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 + 1)*(s - s + 2*s) + 0*s + 2*s + s.\nAnswer: 11*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -746*x + 418*x - 12045 = 475*x for x.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 643 minutes after 7:09 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the second derivative of -l**5\/20 + l**4\/2 + l**2 - 2*l. Let s be 7 - 1 - (1 - 1). Let x be n(s). Solve -6*b + x*b - 20 = 0 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 858 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3596*u**3 - 1265*u**3 - 1241*u**3.\nAnswer: 1090*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -8*v**4 - 482*v**3 - 1290*v**2 - 1192*v - 366. Let o(k) = -6*k**4 - 484*k**3 - 1290*k**2 - 1191*k - 364. Let r(w) = 4*o(w) - 6*q(w). Solve r(d) = 0.\nAnswer: -37, -1, -5\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3980, 7970, 11958, 15944, 19928?\nAnswer: 23910","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 0 + 2. Suppose m = -n + 6, t*m + 1 + 2 = 3*n. Let i(u) = -u**2 + 2 + m - 5. Let o(w) = -3*w**2. What is i(o(z))?\nAnswer: -9*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**3 + 2*p**2 - p + 1. Let w be a(-2). Suppose 3*r - v - 65 = -w, 4*v - 88 = -4*r. Is 13 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*n**3 - 2*n + 2*n + (3*n**2 - 2*n**2 + 2*n**2)*(-7*n + 2 + 9*n + 6*n).\nAnswer: 26*n**3 + 6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5\/60*30*(0 + 36). Find the common denominator of -67\/2 and (-15)\/5*(-565)\/o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.7. Suppose -2*d + 370 = 8*d. Let h = d + -31. Which is the third biggest value? (a) 0.4 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3, -1\/2, -2\/13, -0.1, 1\/5, -3\/7, 625.124?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/((q*q\/(q**34*q*q))\/q))**(-2\/35) assuming q is positive.\nAnswer: q**(-72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -609 or -936?\nAnswer: -936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 629 is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 62542706?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -2*t**4 - 24*t**3\/7 - 6*t**2\/7 + 4*t\/7 = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) be the first derivative of -r**5\/5 + 6*r**4 + 47*r - 121. What is the first derivative of m(o) wrt o?\nAnswer: -4*o**3 + 72*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of (-7 - 11285\/(-15))\/(4\/6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7168703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*3*sqrt(70) - sqrt(70)*1*-4)\/((sqrt(1440) + (sqrt(1440) - sqrt(1440)*2*3) - sqrt(1440)) + ((-1*sqrt(1440) - sqrt(1440))*-6 - sqrt(1440))).\nAnswer: -5*sqrt(7)\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 723947?\nAnswer: 7, 103421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 108050 + 176676 = 3588*j - 8046 + 63140 for j.\nAnswer: 64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -235*q + 10314 - 10316 - 42*q**2 - 44*q - q to r*q**2 + g*q + k and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 2*r**3 + 17*r**2 + 3*r - 11. What is c(-8)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**3 - 2*x**2 - 3*x + 4. Let b be 3\/(-9)*-3 + 2. Calculate the remainder when q(b) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 468310 to the nearest integer?\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-58 - (-14 - -29) - -5) + 4?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 512001042 - -102?\nAnswer: 512001144","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the first derivative of f**4\/4 - 2*f**3 + 5*f**2\/2 - 6*f - 1. Let y be x(5). Let q(k) = -2*k - 6. Calculate q(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 566 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 0*z + 9*z = 0. Let w be z + -1 + 30165\/(-4 - -7). Is (0 - -7)*w\/77 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 3*h - 2. Let c be 20\/(-20) + (-6)\/(-1). Suppose -12 = -p - 2*r, -46 + 151 = 5*p - c*r. What is the lowest common multiple of p and f(5)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1)\/(-7) + 7\/(-49). Is j greater than or equal to 2\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -70.13669 times 2\nAnswer: -140.27338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/6 + 57\/18*2. Let o(y) = 85 - 85 + y**3 + 10*y - 8*y**2. Let p be o(h). Is -11 less than or equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(704)*4)**2.\nAnswer: 101376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 2*n = -4, -n + 2 - 10 = -3*v. Let l = 5 + 37. Let a be ((-36)\/(-21))\/(2\/l). Calculate the highest common divisor of a and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 9*y**2 - 311*y + 1735. Determine h(6).\nAnswer: 193","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2509 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/4)\/(6\/692). Let z = -59 - j. Which is bigger: -2 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -2*z**3 + 11*z**2 - 4*z + 3. Suppose -2*u - 3*u + 10 = 0. Calculate the lowest common multiple of u and s(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 4*y - 16. Let r(b) = b**3 - 7*b**2 - 6*b - 11. Let v be r(8). Let s be o(v). Solve -2*a + s*a = -8 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/7*f**2 - 20\/7*f - 50\/7.\nAnswer: -2*(f + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 105*j - 902. Give r(8).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 69 = -54. What is the remainder when 11 is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, -0.4, -5, 58154029?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (45 - 91 + 62)*(-2*i**4 - i**4 + 4*i**4).\nAnswer: 16*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 276\/27 - (-4)\/(-18). Put t, 3, 2 in descending order.\nAnswer: t, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + -3 + 6 - 3 - 0.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 3)*(470*w**2 - 470*w**2 - 28*w**4).\nAnswer: -84*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*d - 16*k + 14*k + 41, 4 = 2*d - 2*k for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -5 and 99800.\nAnswer: 99795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -5*w. Suppose -2*r = -4 - 12. Suppose -r = -3*l + 1. What is the least common multiple of l and p(-2)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 22 + 152 = -3*u, 3*i - 116 = -4*u. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -4 + z**2 - 3 + 2 - 5*z + z. What is k(6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in eleven quarters of a decade?\nAnswer: 330","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 8*n - 19. Let o be a(5). Calculate the greatest common divisor of o and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -83602.\nAnswer: -5\/83602","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p + 4*h = 15*p - 7687, h + 7693 = 5*p. Does 18 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77198 and 23925.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*x + 0*x + 2*x)*(0 - 3 + 4)*(-31 + 20 - 2*x - 17).\nAnswer: 14*x**2 + 196*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:58 PM and 2:09 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112 + -121001?\nAnswer: -112112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2277\/153 + 2\/17. Suppose 3*s = 15, -5*u + 10*u = -3*s + z. Solve j - 4*k - 4 = u, 3*j - 4*k - 12 = -0*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1119138299 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4297 to the power of 1\/3, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 51207 and -3553.\nAnswer: -181938471","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 115\nAnswer: -2\/115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99*y**2 + 2*y - 28.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h + 12 - 22 + 10.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -5*x, -5*p + 3*x = x - 92. Suppose 3*y = l + p, 3*y + 2*l = 4*l + 16. Suppose 3*s - y*s = -6500. What is s rounded to the nearest one thousand?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 6, y: 1, u: 2, n: 4, c: 2}. Give prob of sequence unn.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 102235*a**2 - 797*a + 22?\nAnswer: 204470","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k**2 - 61*k + 398. What is z(-67)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = m - 3*q - 0, -2*q + 40 = 3*m. Calculate the highest common divisor of m and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-274)\/(-10) - 4\/10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gzzss. Give prob of picking 1 g and 2 z.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from {a: 1, h: 3, o: 4, g: 9, d: 1}.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fdzd when four letters picked without replacement from dzffzxfzffdzfxzfzff?\nAnswer: 3\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the second derivative of -3*u**5\/20 - u**4\/6 - u**3\/6 - 3*u. Let m be q(-1). Suppose -5 = m*w - 7*w. Which is smaller: 1\/5 or w?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-15) - (-4083)\/15. Let k = l + -151. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -4 (b) -0.1 (c) 5\/2 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -544 - -544.00000049. Round q to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*p + 11*p + 30 = 0. Calculate the highest common factor of 45 and p.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -0.1698208\nAnswer: 3.8301792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.04 - 31.96. Let p = z - -32.00000003. What is p rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*l = -2*l - 92 + 148. Let y(n) = 2*n**2 + n - 1. Let o(w) = 9*w**2 + 6*w - 6. Calculate l*o(m) - 11*y(m).\nAnswer: -4*m**2 + m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90418434573 + 90418434573 + 24*w - w**2.\nAnswer: -w**2 + 24*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16359427.\nAnswer: 7, 251, 9311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -651067 at least as big as -1953205\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.34 - -0.04. Let i = q - -0.29. Let h = i + 0.13. Round h to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*j, j - 3*j - t = 0. Suppose -2*p + j*c - c = -14, 0 = -5*c + 10. Is (p\/(-15))\/(3\/(-165)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8064 (base 12) to base 2\nAnswer: -11011001001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 - 4*x**2 - 4*x. Suppose 14 = -7*s + 9*s. Let j(q) = -q**3 + 18*q**2 - 15*q - 17. Let o be j(17). Suppose -8*g = s + o. Calculate n(g).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(140) - (sqrt(140)*-1 + sqrt(140)))\/sqrt(10)*5)\/(sqrt(2) + 4*sqrt(10)\/sqrt(5) + sqrt(24)\/sqrt(3)).\nAnswer: 20*sqrt(7)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2884 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1000100011010111 (base 2) to base 10\nAnswer: 35031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2\/55 - -116\/165. Let -2\/3*o**2 + u + 0*o = 0. Calculate o.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of r**7\/1260 + r**6\/120 + r**5\/15 + r**2. Let c(l) be the third derivative of k(l). Let p = -32 - -28. Determine c(p).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, s: 1, k: 1, z: 1, m: 3}. Give prob of picking 1 d and 1 k.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2955588?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -231 - 17*j - 232 + 459 to the form o + d*j and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1 + 3)\/((-2)\/3). Let l be (-836)\/18 + 8\/(-2). Let f = l + 152\/3. What is the closest to 0.1 in v, 4, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*u + 2*u, -5*h - u = 30. Let q(x) = 2*x**2 + 9*x + 9. Let p be q(h). Let v = p + -17. Calculate the least common multiple of v and 18.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -123362, -246714, -370066?\nAnswer: -493418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1\/o)**(15\/8))**(-38) assuming o is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**3 + 8*s**2 + 3*s - 23. Let k be a(8). Let x(n) = n**2 - n - 1. Let d(r) = -6*r**3 + 2*r**2 - 3. Determine k*d(g) - 2*x(g).\nAnswer: -6*g**3 + 2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 233 + -227. Calculate the highest common divisor of g and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - q - 3*q = 30, 2*q = -10 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 116503, 116506, 116511, 116518, 116527, 116538?\n\"Answer: i**2 + 116502","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 1 d when three letters picked without replacement from azykzaydyakzkddyz?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 0 = -4*f + 37, -10 = 2*b for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p**3 - 63*p**2 + 351*p - 513 = 0. Calculate p.\nAnswer: 3, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3611834 by -3.\nAnswer: 3611834\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -514*f - 25700 = 514*f for f.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, a: 2}. What is prob of sequence aak?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/10*4\/(-8)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3131760 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: Let t(c) = 326*c**2. Let l(k) = -13*k**2. What is t(l(z))?\nAnswer: 55094*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 272.1 - 271.9. Which is the smallest value? (a) -0.1 (b) 3\/2 (c) 391 (d) 2\/5 (e) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 180 - 72. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -52*a + 75 = -27*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 h when two letters picked without replacement from {h: 1, m: 2, q: 4, k: 4}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 34816.59 weeks?\nAnswer: 350951227.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2*h + 3*h + h)*(2 - 2 - 2*h) - 2*h + 2*h - h**2)*(-1 + 7 - 9)*(12*h + h - 4*h) in the form g + s*h**2 + w*h + d*h**3 and give d.\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 4052 to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the first derivative of 1\/9*o**3 - 11 + 1\/12*o**4 - 18*o + 0*o**2 + 1\/60*o**5. Let p(x) be the first derivative of k(x). Solve p(z) = 0 for z.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 224273324?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110010 - 110010?\nAnswer: -1100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, -4, -50, -15, 2 in increasing order.\nAnswer: -50, -15, -6, -5, -4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -15 + 19. Suppose y - 11 - u = 0. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a - 28. Give m(-14).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x - 14 = -x. Suppose -3*z - x = 1. Is (-93)\/(-15) - (-1)\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by -22531248?\nAnswer: -7\/22531248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 21371185, 21371183, 21371185, 21371191?\n\"Answer: 2*o**2 - 8*o + 21371191","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -u**4 + 86*u - 46*u - 83 + 13*u**3 - 40*u wrt u.\nAnswer: -4*u**3 + 39*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 870452 is divided by 79045.\nAnswer: 957","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 153949.729 rounded to the nearest 100?\nAnswer: 153900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -353 = -5*z - 6*h + 2*h, -5*h + 148 = 2*z. Calculate the remainder when 84 is divided by z.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3363399674?\nAnswer: 2, 127, 13241731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 33 + -40 - -20 - (-43 - (-8 - -3)).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 7*y**3 - 1 + 1.\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 10 (b) -0.3 (c) 1\/3 (d) -9\/6422\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 45314 - 112155?\nAnswer: -22441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 46 + -120?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + r**2 + 6 - 5.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 4528982126 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 2*c**2. Let t be m(-1). Suppose 4*o - q = 48, 0*o + 5*q + 42 = t*o. Let a = -7 + o. What are the prime factors of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19 - 31) + 58 - (-12 - -19).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 2 - 3 + g + 0 - 4 - 9*g**2. Let f(a) = 13*a**2 - 2*a + 7. Suppose 0 = d + 4*k - 3, 5*d - 28 - 8 = k. Determine d*s(v) + 5*f(v).\nAnswer: 2*v**2 - 3*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:19 AM and 8:02 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-42)\/r)\/((r*r**(-37)*r)\/r))\/(r\/(r\/(r\/(r**(-26)*r))))**22 assuming r is positive.\nAnswer: r**(-579)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 u when two letters picked without replacement from ussssuuuuusssssu?\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -20*c**2 + 4*c. Let j be z(-4). Let r = j + 380. Let k = 19 + -8. What is the greatest common divisor of k and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -74, -132, -190, -248, -306?\nAnswer: -364","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4677.0354 and -8.\nAnswer: -37416.2832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 56\/(-252)*3\/(-2)*6. Let f = 0.22 + 0.08. Which is the third biggest value? (a) -4\/7 (b) h (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - b + 2. Let u be p(-2). Suppose 6*k - 4 = -10. Let i = u - k. Is i at most as big as 2\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.1 times 38\nAnswer: -41.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5439968675 to the power of 1\/4, to the nearest integer?\nAnswer: 272","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**3 - 5*m**2 - 27*m + 186. Give a(6).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3 + 2*r**2 + 4*r - 8.\nAnswer: -(r - 2)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3121379 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153 and 85?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 14 + 1332*r - 666*r - 666*r + 551*r**2 in the form s*r + d + b*r**2 and give d.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.77 = -43161?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/45 and -79\/2355840?\nAnswer: 2355840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 24605 a multiple of 95?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide -1 + (-8)\/(-20) + (-886032)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2003991 to the nearest integer?\nAnswer: 1416","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2306 + 25368\/11. Let h = 535\/6 + -89. Sort 1\/2, h, w, 3.\nAnswer: h, w, 1\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 301*w = 299*w + 35, w + 10 = -3*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is bbba - 134?\nAnswer: ba86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the third derivative of 1101*x**5\/20 + x**4\/12 - 620*x**3\/3 - 11*x**2 + 2*x + 10. What is the second derivative of c(p) wrt p?\nAnswer: 6606","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-five quarters of a millennium in decades?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.91355489 to 1 decimal place.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 467 and -89966137206.\nAnswer: -89966136739","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -435, -1, -10, 131, 4, 5.\nAnswer: -435, -10, -1, 4, 5, 131","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) be the first derivative of -c**4\/4 + 7*c**3\/6 - 2*c**2 + 3*c\/2 + 30. Find d, given that k(d) = 0.\nAnswer: 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*f - 7*f - 13*f + 0*f**3 - f**3 to the form y*f**2 + r*f**3 + z*f + j and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*l - 601 - 83. Does 6 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-40)\/(-9 - 1334\/(-174)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 304\/(-6) + (-2)\/6. Let u be (34\/x)\/((-2)\/132). Is (u\/24 - 3)*-6 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -11*h - 5. Let y be f(-5). Suppose 40 = 5*z + y. Is (-235 - 0\/2)\/(z + 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 + (-549)\/81 + (-86)\/(-18). Let u be (h - -5 - (3 - 0)) + -1. Solve 0 = -0*r - 2*r - u for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the first derivative of -u**3\/3 - 3*u**2 + 4. Give y(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 68321749 to the nearest integer?\nAnswer: 8266","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 863 + -859. Solve 0 = -4*y - i, 2*c + 0*y = -y - 3 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -771, -3275, -7523, -13521, -21275?\n\"Answer: -z**3 - 866*z**2 + 101*z - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k + 2*k = -40. Suppose -k*o - a - 3 = -5*o, -o + 5*a - 1 = 0. Solve o - 2 = g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.32361 + 0.02361. Which is the closest to -4? (a) w (b) -2 (c) -1.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-104 - -103)\/(2\/1 - (-6)\/(-9))\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -4*p**2 + 111*p + 5035. Give y(53).\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1989, 3526, 4653, 5364, 5653?\n\"Answer: -i**3 - 199*i**2 + 2141*i + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*f + 6. Suppose -2*m + 6 = -0. Let h(x) = -2*x - m - 1 + 6*x + 3. Calculate h(f).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -8*a - 3. Let r(w) = 7*w + 3. Let t = -5 + 10. Let y(v) = t*r(v) + 4*x(v). Find the first derivative of y(o) wrt o.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1720 divided by 1.\nAnswer: -1720","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (448\/35)\/(2\/40). Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -376 in -1, 0.837, -1\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -15) + -16 + 11 + -5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fifteen quarters of a micrometer?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 88973 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r**(2\/7)\/r)\/((r\/r**(-7))\/r)*(r*r**2)\/(r\/(r*r\/((r\/(((r\/(r*(r**(-4\/9)\/r)\/r*r))\/r)\/r))\/r))) assuming r is positive.\nAnswer: r**(-206\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -2*g**3 - 8*g**2 - 4*g - 9. Let z be l(-4). Solve 32 - z = 5*w + 3*m, 2*m + 10 = 2*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 - (-3 + 4 + 2 - 1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.3 or -2728154?\nAnswer: -2728154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 222444 - -4?\nAnswer: 222452","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -11185439*o*y - 101913951*o - y wrt y?\nAnswer: -11185439*o - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 2861 + -14297\/5. Let t(i) be the first derivative of 0*i**4 + 13 + 0*i**2 - 4*i**3 + 0*i - o*i**5. What is the third derivative of t(d) wrt d?\nAnswer: -192*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553147 rounded to the nearest 1000?\nAnswer: 553000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 0*o**2 + 0*o - 8\/19*o**3 + 0 + 2\/19*o**5 + 0*o**4 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96339212 less than -0.2?\nAnswer: -96339212.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*v = -10*x + 5*x - 178, 149*v - 2*x - 26 = 154*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -29\/1079?\nAnswer: -29\/1079","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.041 in 17, -0.5, 3\/5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 times -78?\nAnswer: -312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1215143861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 371 + -369. Solve 2*t + 5*p - 3 = 10, -5*t - h*p = -22 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.40294 + 4.802918. Let w = -3.6 - z. Round w to 6 dps.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 60561138 and 0.02?\nAnswer: 60561137.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 183*j + 995. Determine w(-6).\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 28.31611 litres to millilitres.\nAnswer: 28316.11","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.0946 - 0.0946. Which is the closest to -53? (a) u (b) 1\/3 (c) 0.4 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 + 15*v - 16. What is h(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5301*o**4 - 6*o**3*r + 2*o**2*r - 36538*o**2 - 12*r wrt o.\nAnswer: 127224*o - 36*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1011 + -1?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 16359 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**3 + 2*v**2 + 2. Let c be t(-2). Let h = 7 - 9. Let j(z) = -3*z**3 - 3*z**2 + 1. Let o be j(h). Solve x = c*r + r - 7, -x = 2*r - o for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -87\/51608 and 50\/11?\nAnswer: 567688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/14*(-28)\/(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 28\/991 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -82205 by -1339.\nAnswer: 82205\/1339","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 5:38 AM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + 1*(1*(2 + 2 + sqrt(720)) - ((sqrt(720)*1*4 - sqrt(720)) + 1))**2.\nAnswer: -144*sqrt(5) + 2893","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from vveveve?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 + 2*c + 3. Let n be h(3). Suppose n = -u + 6 - 2. Suppose u*a - 5*r - 143 = 0, -a - r + 40 = 2*r. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**3 + 0*i**3 - 2*i**3)*((3 + 1 - 7)*(1 - 3 + 0) + 0 + 3 - 4 + 1 + 3 - 5 + (5 - 3 - 1)*(5 - 2 - 5)).\nAnswer: -6*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1789 and 3?\nAnswer: 5367","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 4 or -25?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -4*(-107)\/28 + (-6)\/21. What is the units digit of 2998\/d - (56\/105)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 810 divided by 1504?\nAnswer: 405\/752","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 137*f - 19978. Give m(146).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 5*k**3)*(4*k - 4 + 4) + 4*k**2 + 3*k**4 - 4*k**2 + (3*k**4 - k**4 - 4*k**4)*(0 + 3 - 6) - 2*k**4 + 4*k**4 - k**4.\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*2*sqrt(204)*1)\/(sqrt(300)*1*-3 + sqrt(300) - sqrt(300)).\nAnswer: 4*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 112*u + 85. What is t(-1)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*a**2 - 87*a**3 - 186*a + 102*a + 97*a.\nAnswer: -87*a**3 - 5*a**2 + 13*a","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1126 in -2\/31, 17, 1, -0.4?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -89 - -174. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the first derivative of -t**3\/3 - 15*t**2\/2 - 23*t - 47. Let h be m(-7). Let j = -45 + 67. Calculate the highest common divisor of j and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*d**3 - 2 - 4*d**2 - d**4 + 2*d**4 + 5*d**4 + 3*d**2 to p + q*d**4 + b*d + j*d**2 + f*d**3 and give q.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from csccscsscc. Give prob of sequence ccc.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 372\/54 + 2\/(-3) + (-128)\/576. Let m(w) = 13*w. Let u(i) = 6*i - 5. Let x(k) = k - 1. Let o(n) = -u(n) + 5*x(n). Determine h*o(z) + m(z).\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -133 plus -6277?\nAnswer: -6410","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*d + 0*d + 3*d)*(-4 - 3 + 5) - 3*d + d + 0*d + (0 + 3 - 1)*(-2*d + 2 - 2) - 4*d + 2*d + 0*d as r + s*d and give s.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*h + 12*h = -12. Suppose 0 = -5*r - 3*t + 36, -h*r + 24 + 4 = 5*t. Calculate the lowest common multiple of r and 27.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkibbkqkbmhbhbm. Give prob of picking 2 h and 1 q.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 273482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17*g + 342 - 223 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 257\/50 + -13899\/350. Let c = -84879\/14350 - 14\/1025. Let u = c + q. What is the common denominator of 83\/20 and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7)\/(42\/36) + 36. Factor 21 + 25*u + 9*u**3 - 15*u - 69*u**2 - u + c*u.\nAnswer: 3*(u - 7)*(u - 1)*(3*u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -23*z**7\/42 - 11*z**4\/12 - 14*z. What is the third derivative of v(o) wrt o?\nAnswer: -1380*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (40\/(-6))\/((-62)\/(-93)).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-1090)\/15)\/((-2)\/3). Suppose 4*j - 2*j + 3*t = 103, 2*j + 5*t = w. Is 11 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-2)\/20)\/(28\/(-56))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4334 and 19.\nAnswer: 82346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -103*h + 147*h + 147*h + (-1 - 1 + 4)*(-2*h + 2*h - 2*h) - 2*h - h + 2*h in the form r + s*h and give s.\nAnswer: 186","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) be the third derivative of -8693*o**4\/24 + 3*o**3 - 6*o**2. Let t be d(26). Round t to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 436 (b) -0.05 (c) 1\/31 (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, 1\/2, -1\/407, 0?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-14) - 152\/(-133). Let v = -276.968 + 278. Let r = v - 0.032. Which is the closest to h? (a) 0.1 (b) r (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -u**3 + 6*u**2 + u - 8. Let v be c(6). Let k = v + 4. Is k at least 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yp when two letters picked without replacement from {s: 3, p: 1, i: 1, q: 4, y: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**2 - q - 18. Let w be j(0). Let z be w + (4\/2 - 5). Let b = z - -49. What are the prime factors of b?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 27 + -23. Suppose -z*v**2 + 5*v**2 + 23 - 7 + 8*v = 0. Calculate v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = -5*z + 5 + 8, -z + 17 = 3*w. Let i be w + (16\/(-2))\/2. Let o be (i + 4)\/(1*-1). Let b(k) = -k**2 - 5*k + 8. Calculate b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6052578 divided by -8477\nAnswer: 714","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 624566 - -451?\nAnswer: 625350","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*w + 3*n + 3, -3*w + n - 1 = -6 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*r - 918 = -3222. Suppose o + 189 = 4*y + 2*o, -4*o = 4*y - r. Let d = -45 + y. Is 2 greater than or equal to d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3 - (-2)\/((-2)\/(-3)). Let y = j - -2. Suppose -y*w + 75 = w. Solve 6*s = s - w for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 110 a factor of 336421250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f**5 + 8780*f**4 + 1643080*f**3 - 6026742870*f**2 + 24071556285*f + 30099933450 = 0. Calculate f.\nAnswer: -762, -1, 5, 1257","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + o - 28 = 0. Let k = 9 + -1. Calculate the lowest common multiple of k and o.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 + 7)\/((-4)\/6). Let c = w - -28. Suppose 2*s = -b - 2*b - 2, -5*b - 5*s - c = 0. Solve -2*z = b*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 548318?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18616 and 42016.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 492169.2 and -8611327?\nAnswer: 9103496.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 24 + 14. Suppose -2*c + 0*c + y + 21 = 0, -c + g = 5*y. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48 - 42 - (-9 - (-13 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, k: 1, s: 7, e: 4}. Give prob of sequence wek.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 76*r - 74*r = 2. What is the biggest value in -8, r, 4, 2\/3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p = -22 + 16 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 + 0 = 0. Solve y*q = -0*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 3*y - 34 = 64, 3*y = -2*o - 35. Let g = 6 - o. What is the remainder when g is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 824 + 2*n + 3*n**3 - 2*n**3 - 824.\nAnswer: n**3 + 2*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 9. Suppose 100 + 316 = x*f. Suppose n + 3*j = 26, 4*n + 4*j - 2*j = f. Calculate the remainder when n is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 278 and 4865.\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122258 or 122257?\nAnswer: 122257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**4 + 0*x**3 - 70*x + 0 + 155\/2*x**2 + 57\/20*x**5. What is the derivative of d(h) wrt h?\nAnswer: 171*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -7*b**2 - 13*b - 3. Let k be c(-1). Solve -64*n + 65*n = k for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -5 - ((-9)\/1 + -6). Solve -18*g + 28 = d*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(363) - (-3 + (sqrt(363) - sqrt(363)*1))))**2.\nAnswer: 264*sqrt(3) + 1488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence le when two letters picked without replacement from {d: 2, l: 5, e: 1, b: 8}.\nAnswer: 1\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((a**(1\/5)\/a)\/(a*a*a**2*a))\/(a**5\/(a\/(a*a**(-2\/9)\/a)*a)))**15)**(5\/9) assuming a is positive.\nAnswer: a**(-1930\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 8 + (-474)\/10*(-660)\/132. Solve -q*x + 264 = -212*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 24, 0.3, 0, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 + 10*t**2 + t + 14. Let u be l(-10). Calculate the highest common divisor of u and 28.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2504231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6426 + 86*q**2 + 15944 - 22370.\nAnswer: 86*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 6*b**2 - 114*b + 44. What are the prime factors of a(-6)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 313710 is divided by 164.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 72 - 63. Suppose d = -0*v + 3*v. Find the third derivative of 3*k + 3*k**2 - 10*k**5 - v*k + 7*k**2 wrt k.\nAnswer: -600*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-5)\/(-3))\/(-24 - (-1971)\/54). Which is the second biggest value? (a) 43 (b) w (c) -5 (d) 0.3 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -7*d. Let x(b) = 1. Let i(c) be the first derivative of c**2\/2 - 5*c - 14. Let o(l) = 3*i(l) + 15*x(l). Determine o(g(u)).\nAnswer: -21*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -596118, -1192231, -1788362, -2384511?\nAnswer: -2980678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -265102*c**3*i**2 - 83*c**3*i - 8*c**2*i*k + 5*c**2*k - 244*i**2*k + 1199 wrt i?\nAnswer: -530204*c**3 - 488*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 212 + -3?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**0*(c**(-3)*c)\/c)\/(c**(-1\/10)*c**1)*(((c*c**(-1)*c)\/c)\/(c*c**(1\/5)))**(3\/17) assuming c is positive.\nAnswer: c**(-529\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 14) to base 2\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -19 in 2\/11, 2, 1\/5?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2095\/9 - -233. Let l = 1 + -2. Let a = l + 0.8. What is the second smallest value in a, -3\/4, c?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**5\/20 - 2*w**4\/3 - 4*w**3\/3 - 5*w**2\/2 + 4*w. Let h be v(-5). List the prime factors of (-3)\/(-1) - 3 - h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 154 = -o, -30*o + 4*m = -35*o + 776. List the prime factors of o.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 17612 by -119.\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -20310 (base 5) to base 12\nAnswer: -92a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/(-9) - ((-550)\/45 + 3). Solve 2*r + 6 = 4*n, 0*n + s = 4*n + r for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122456889 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 7*w + 6*w + 42 - w - w. Let y be h(-12). Let s = 171 + y. List the prime factors of s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 164 in -3\/2, -3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16*-1*(-105)\/(-210)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) be the third derivative of 0 - 23\/24*g**4 + 0*g + 0*g**3 + g**2. Let u(n) = 185*n**2 - 89*n**2 - 95*n**2. Determine u(v(o)).\nAnswer: 529*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 - ((-12 - 0) + 81 + -243 + 116).\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40363021 (base 7) to base 14.\nAnswer: -636711","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 440457696 to the power of 1\/2, to the nearest integer?\nAnswer: 20987","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26001003 by 3.\nAnswer: 8667001","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -30 - -18. Let t be ((-34)\/8)\/(10\/(-40)). Let y = b + t. Solve 5*z = 5*s - y, -4*z + z - 7 = -2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**2 + 7*u - 1. Let t(s) = 2*s**3 - 18*s**2 + s - 4. Let f be (38\/57)\/(2\/27). Let b be t(f). Determine k(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1215585284 to the power of 1\/3, to the nearest integer?\nAnswer: 1067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 11:08 AM?\nAnswer: 4:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -11 - (-19 - -7) - (-1 - -2)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -51 or -52?\nAnswer: -51","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 311 is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 2, l: 5, f: 2, y: 3}. What is prob of sequence yl?\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 4*t + 2. Suppose -2*h = m - 11, -h + m + 3 = -m. Suppose 11 = -h*u - 4. What is a(u)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = j**3 + 18*j**2 + 22*j - 25. Let y be -18 + 4 + 3 + -5. List the prime factors of a(y).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -422 - -1310\/3. Calculate the common denominator of h and 89\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -312591*q = -312499*q + 1288 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -984 by -718.\nAnswer: 492\/359","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 68*m - 35. Let l be p(-12). Let v = -849 - l. Let g = 2 + 0. Solve 3*i - y = -g, -3*i + v*y = -y - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -6 - -11. Suppose u - r*u = -40. Let o be (-4)\/u + 17\/5. Solve -2*a + 2 = o*s - s, -2*a + 7 = 3*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -14*b**6 - 682*b**3 + 14317*b**2?\nAnswer: -1680*b**3 - 4092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) be the second derivative of w**7\/147 + w**6\/105 - w**5\/35 - w**4\/21 + w**3\/21 + w**2\/7 + 14*w. Let u(t) = 0. Calculate t.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 5*o - v + 16*v = -21, -2*o - 10 = -2*v for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = r**2 + 6*r - 9. Let p(q) = -q - 12 + 4 + 3*q + 372*q**2 - 370*q**2 + 3*q. Give -6*p(c) + 5*u(c).\nAnswer: -7*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + 1 + 0 + -2. Let y(h) = 1 + a*h + 4 - 3. Let k be (-18)\/5 + (-4)\/10. Calculate y(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -3*t - 0*t + 3*w, -5*t - 2*w + 10 = 0. Suppose -c + 28 = 26. Suppose -c*b = 2*b + 72. Put b, t, -4 in ascending order.\nAnswer: b, -4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = -4*h + 6869, -q + 3061 = 2*h - 376. Does 13 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**3 + 298*l + 1469. Determine x(-5).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -93 + 745\/8. Let m = -2\/4487 - 58295\/80766. Calculate the common denominator of a and m.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 6 - 1 = -2*p, 3*p + 5*v = 10. Suppose p*i - 9 = 1. Find the second derivative of -f**3 + 2*f**i + 5*f + 2*f**2 - 4*f**2 wrt f.\nAnswer: -6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2197 is divided by 764?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 389*c + 22. Let b(l) = 14*l. Give z(b(k)).\nAnswer: 5446*k + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.05 + 0.55. Let k = 6 - 12. Let c = 4 + k. What is the smallest value in 0.1, i, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 303940*a**3 + 7*a + 0 - 303941*a**3 - 11*a**2 to m*a**2 + d + g*a + t*a**3 and give g.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 1 + 834\/(-4587)*22\/(-3)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1200600 and 203.\nAnswer: 8404200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**3 - t**2 - 18*t + 21. Let l be a(4). What is the closest to -1 in -4, l, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*v - 3*v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the second derivative of -x**4\/12 - x**3\/3 - x**2 - 8*x + 57. Let a(q) = q**2 + 3*q + 3. Determine 2*a(k) + 3*n(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238185771 to the power of 1\/2, to the nearest integer?\nAnswer: 15433","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**3*t - 431*b**3 + 7*b*t**2 + 6*t**2 + 3 wrt t?\nAnswer: 2*b**3 + 14*b*t + 12*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 44868 divided by -40?\nAnswer: -11217\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**18\/h*h*h**7*h*h*(h\/(h*h\/(h*h\/(h**(1\/3)*h*h*h)*h)))**(5\/14))**(5\/9) assuming h is positive.\nAnswer: h**(2995\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 366 (b) -5\/6 (c) 2 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36645.\nAnswer: 3, 5, 7, 349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 + 7 + 4 - -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.3 + 0.2. Let j be (-2 - (-5)\/2)*(-4)\/1. Let g be -16*j\/6*(-18)\/(-12). Which is the smallest value? (a) g (b) 2 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 8*b. Let w be ((-10)\/(-30))\/(2\/(-18)). Let o be w\/12 - 536\/32. Let z(l) = -4*l. Let x(t) = -11*t. Let d(u) = o*z(u) + 6*x(u). Give 26*d(f) - 6*i(f).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2*1\/(-2) + 3. Suppose 2*q + 4*d - 482 = 0, -4*d - 629 + 115 = -o*q. Suppose -3*l + 0*j + q = 4*j, 0 = 5*j + 15. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -39, -1, 4, -2, -22\/15, 2\/9?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9\/535 + 472\/3745. Factor 0 - 1\/7*g**2 - h*g**3 + 2\/7*g.\nAnswer: -g*(g - 1)*(g + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15748, -61670, -138208, -245362, -383132?\nAnswer: -551518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 541564169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**3*k**(2\/7)*k**6\/k**(1\/4))\/(k**(2\/15)*k*k**(-3\/10)*(k\/(k\/k**(2\/3)))**(-2\/47)) assuming k is positive.\nAnswer: k**(32495\/3948)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 3. Let t(i) = -3*i + 1. Is t(v) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.54152448 to 3 decimal places.\nAnswer: 4.542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - -4 - (38 + -15 - 11).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05 take away 197979231?\nAnswer: -197979231.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (25*u - 31*u + 2 + 21*u)*(0 + 2 + 0) to j + z*u and give j.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 349 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + 1899b?\nAnswer: 1899e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -g**3\/3 + 6*g**2 + 3*g + 3. Let a be p(12). Suppose -a*s - 2 = 5*t, -2*t - 3 = 2*s + 1. Solve 0 = -t*i - 2 - 4 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 94.\nAnswer: 3\/94","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b + 1035 - 408. Let f(x) = -x**2 + 340*x - 28693. What is the remainder when b is divided by f(158)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 + (-1)\/(-12)*-1. Let p = 12422\/9 - 1380. Put p, 2\/11, 3, f in descending order.\nAnswer: 3, p, 2\/11, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -h + 6*h. Let j be -3 - -5 - (-13)\/h. Sort 1\/2, -3, j in ascending order.\nAnswer: -3, j, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 383141 and 54813?\nAnswer: 1909191603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -16 + 1 + -1 + -3. Round p to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 9*w + 4. Let x be k(7). Suppose -4*o - 5*c + 279 = -0*o, o + 4*c - x = 0. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 - -3633.\nAnswer: 3632.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2 + 6.2. Let p = 788 + -787. What is the closest to p in m, -6, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -18, 33749 in decreasing order.\nAnswer: 33749, -4, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 to the power of 1\/3, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1602 divided by -534\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 101559659359 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-3 + 5 + (2 - 1))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15, -18, -23, -30, -39, -50?\nAnswer: -63","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2150558 to the power of 1\/2, to the nearest integer?\nAnswer: 1466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l - l - 354 - 282*l**3 + 350 wrt l.\nAnswer: -1692*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the third derivative of -1\/200*p**6 - 10*p**2 - 3\/40*p**4 + 0*p + 9\/10*p**3 - 1\/20*p**5 - 4. Factor o(g).\nAnswer: -3*(g - 1)*(g + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the third derivative of c**5\/60 + 28*c**2. Let b(d) = -29*d. Give b(f(r)).\nAnswer: -29*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 130900 and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.08 + 0.18. Let l = o + 1. Let z be (-6)\/39 - 35\/26. Which is the third biggest value? (a) -0.4 (b) z (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.2, 14, 1\/10?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s - 10, u - 305 = 5*s. Find the common denominator of -35\/16 and 382\/u - (-20)\/70.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 31 divided by -1022.\nAnswer: -31\/1022","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 11988*k - 252. Let r(h) = 959*h - 20. Give -5*p(d) + 63*r(d).\nAnswer: 477*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (16\/6)\/((10\/(-105))\/(4\/(-7))). Solve x = j - 4, 3*j = 7*j - 2*x - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11444 is divided by 159.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that k**2\/10 - 9*k\/5 = 0.\nAnswer: 0, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078 a factor of 5444452?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - k - 21. Let b(m) = -28*m + 35. Let g(t) = 14*t - 17. Let i(p) = k*g(p) + 3*b(p). Differentiate i(z) wrt z.\nAnswer: 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18144, 18594, 19044, 19494?\n\"Answer: 450*d + 17694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -11da827 (base 15) to base 13\nAnswer: -287903b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the second derivative of v**5\/18 + 173*v**4\/54 + 260*v**3\/27 - 44*v**2\/3 - 1174*v. Determine p so that y(p) = 0.\nAnswer: -33, -2, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-3*2\/(-63) - (-102539272)\/2541)*1?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 9*x - 7. Let u(a) = -6*a + 5. Suppose -p = 4 + 1. Let c(j) = p*y(j) - 7*u(j). What are the prime factors of c(-3)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r + 27. Let o be b(5). Suppose 2*a**4 + 21\/2*a**o + 1 - 11\/2*a - 8*a**3 = 0. Calculate a.\nAnswer: 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2757*y**2 + 2917 - 2917)*(4 - 4 + 3*y**3) + y**2 + 2*y**5 - y**2.\nAnswer: -8269*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 144 = 6*o - 4*u, 3*o - 2*u + 25 = -0*o - 20 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 3*c**2 - 5*c + 2. Suppose 15 - 7 = 2*b. Suppose 2*a = a - b. Determine y(a).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -54*q**2 - 136*q + 11. Let v(c) = -27*c**2 - 80*c + 6. Determine 3*j(o) - 5*v(o).\nAnswer: -27*o**2 - 8*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 2, x: 1, h: 2, g: 6}. Give prob of sequence hhgg.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 2.107+-2475202\nAnswer: -2475199.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 + 23 = -730*c + 715*c. Let f = 7.3 + -0.3. Let s = f + -6.7. Put c, s, -1\/6 in ascending order.\nAnswer: c, -1\/6, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -2*j**3 + 908*j**2 + 9289*j + 82. Calculate v(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7965 - 3105 = -18*d. Let f(o) = -d - 4*o + 612 + o. Let r(v) = -6*v. Give f(r(i)).\nAnswer: 18*i - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 38 + -38. Suppose i = 2*l - 5*w - 787, 4*l + 5*w = 761 + 858. Is 59 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21103132 (base 4) to base 14.\nAnswer: -dc62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-1 + 6\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 228278 and 25434?\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 1502278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 187 and 170.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2527787871?\nAnswer: 3, 7, 29, 461191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 10:32 AM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/13, 4, -15248?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) be the third derivative of t**8\/504 + 2*t**7\/315 - t**6\/15 - 7*t**5\/45 + 11*t**4\/36 + 4*t**3\/3 + 3*t**2 + 105*t. Find y, given that f(y) = 0.\nAnswer: -4, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*q**4 + 36612*q**3 - 4642560*q**2 + 64920576*q = 0. Calculate q.\nAnswer: 0, 16, 112, 12076","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a litre in millilitres?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 20286\/355 - -4\/71. Let c = t + -56. Factor -c*d + 4\/5*d**2 + 2\/5.\nAnswer: 2*(d - 1)*(2*d - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1276 divided by -29?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from oddooododddd?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i = 5*i + s - 14, 4*i - 16 = -2*s. Let f be (-12)\/126 + (-53967)\/(-91). Let u = -593 + f. Sort u, i, 3 in increasing order.\nAnswer: u, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 491 is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/((4 - 2)\/(-2)). Let q(y) be the second derivative of 1\/2*y**2 + 2*y + 0*y**3 + 1\/6*y**4 + s. Differentiate q(x) with respect to x.\nAnswer: 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -27 - -32. Solve -3*y - 9 = -s*f, 0*y + 4*y = -2*f - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*h**3\/23 - 48*h**2\/23 + 2*h\/23 + 48\/23.\nAnswer: -2*(h - 1)*(h + 1)*(h + 24)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.13 - -568\nAnswer: 568.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/4128595 (b) 2 (c) 1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.34513617 to 3 dps.\nAnswer: -0.345","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - y + 4. Let s be d(3). Let o = s + 18. Let r be 6\/o - 68\/(-20). Solve r*i - 4*q = i - 13, 2*i + 2 = q for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w**(-1\/2)*w*w)\/w)**(-1\/38)\/(w\/w**(2\/3))**(2\/11)*w**(-5)\/(w*(w*w**(-1\/3)*w)\/w)*(w**(1\/2))**25 assuming w is positive.\nAnswer: w**(4793\/836)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add 6782 and -5231.\nAnswer: 1551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 1\/11 (b) 1\/4 (c) -4 (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (29\/(-1305))\/(12\/40)\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6159663616 rounded to the nearest 1000000?\nAnswer: 6160000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 802.2419 decades in millennia?\nAnswer: 8.022419","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7538.869482 less than -0.04?\nAnswer: -7538.909482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 + 2403*t**2 + 9573*t + 7173.\nAnswer: 3*(t + 1)*(t + 3)*(t + 797)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w. Let t(g) be the first derivative of 7*g**3\/3 - 3*g**2\/2 - 3*g - 2. Let c(s) = -3*r(s) - t(s). Differentiate c(q) with respect to q.\nAnswer: -14*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109423 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6456006 is divided by 198?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 27\/88 and 65\/7975368.\nAnswer: 87729048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -30.46 + 31. Let f = u + 22.46. Let n = f + -22.9999933. What is n rounded to six dps?\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 52397 by 347.\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 4 (b) 1 (c) -2\/7 (d) 501 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 7 = -3*u. Let k be 1\/((-22)\/10 - -2). Sort u, k, -1.\nAnswer: k, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the third derivative of -m**5\/20 - 6*m**2 + 32*m. Let a(r) = -3 + 3 + r. Determine l(a(c)).\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-30)*3 - 16\/10.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 7058*o + 28222. Determine r(-4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q**2 - q. Let k(b) = 2*b**2 + 5*b - 2. Let v(l) = -3*h(l) - k(l). Calculate v(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11867*1\nAnswer: 11867","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 432 = -4*l, 0 = 5*y - 2*y. Calculate the lowest common multiple of 40\/(-8) + (-210)\/(-1 + -5) and l.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 10 - 3*b - 4)*(-2*b**3 + 3 - 3) to the form v*b**4 + q + i*b + j*b**3 + p*b**2 and give v.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 + s + s**2)*(-4001 + 4001 + 33*s) in the form a*s**3 + f*s**2 + w + z*s and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 703 divide 310023?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**2 + q - 3. Let f(t) = -1193*t**3 - 7158*t**2 + 7158*t - 21474. Determine -f(z) + 7158*n(z).\nAnswer: 1193*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, k: 4, d: 3}. What is prob of picking 2 i?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -43*k + 58*k + 90 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-42)\/49)\/(2\/(-14)). What is the second derivative of 4*v - 5*v + t*v**4 + 9*v wrt v?\nAnswer: 72*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*z - 383 = -333. Which is the fourth biggest value? (a) -0.3 (b) 6\/5 (c) z (d) -2\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104642515 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 4*g + 244, -3*f + 4*g = -8*f + 296. What is the remainder when 285 is divided by f?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(6\/5)*c)\/c)\/c**19 assuming c is positive.\nAnswer: c**(-96\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 240\/(-400)*5\/39.\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 139, 5, -175601 in ascending order.\nAnswer: -175601, 5, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**2 - 12*f + 8. Let x = -166 + 153. Let q be m(x). Let h(u) = 9*u - 5. Let b(z) = 2 + 4*z - 2 - 2. Give q*b(j) + 2*h(j).\nAnswer: -2*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**4 + 4740*b**3 + 1060500*b**2 - 494748500*b - 169999665000.\nAnswer: 4*(b - 330)*(b + 505)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 17*v**2 + 2398*v - 1028. Determine n(-141).\nAnswer: -1169","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 11*g**2 - 11*g - 6. Calculate the remainder when 17 is divided by s(12).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 28864 is divided by 1598?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-22)\/9*(-36)\/(-52))\/((-1)\/13)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 5. Does 14 divide 19 + (-1)\/(-1) + n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, c: 3, i: 5}. What is prob of sequence yy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 + -12. Let i(c) = c**3 + 3*c**2 - 6*c - 10. Let r(l) = l**2 - l + 1. Let v(h) = i(h) + 2*r(h). Is 4 a factor of v(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*g - 26 = -g. Solve -z - 3*k + 16 = k, -2*k + 14 = g*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -5532, -11060, -16564, -22032, -27452, -32812, -38100, -43304?\n\"Answer: 2*z**3 - 5542*z + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -5487 not equal to -60359\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -7*f - 16*f + 99*f + 163 wrt f.\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 + -8 + -2)\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 71 = -15 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from guggggugg. Give prob of sequence gu.\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1758 + -25?\nAnswer: -24.8242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x**5 + 252*x**4 - 231*x**3 - 1506*x**2 + 972*x + 1992 = 0.\nAnswer: -2, -1, 2, 83","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:18 PM and 7:38 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -169\/77 - -21\/11. Let d be 2\/(2*6\/15). Let l = -21\/10 + d. Are y and l nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 164333 is divided by 815?\nAnswer: 518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 0*u = -80. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 386126225 to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-14)*(-9 - 3). Let k = 12.654 - 12.7. Let x = 0.054 - k. What is the smallest value in -6, w, x?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 63073 + -2?\nAnswer: 63071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1280.37 - -10.34. Let n = 1296 - g. What is n rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:27 AM and 5:39 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 3495272 divided by 79438\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = 225 + 663. Let f = -103 - s. What are the prime factors of f?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*c + 4*q + 20, q - 25 = -2*c + 6*q. Let a be -1 + c + 4 + -1. Solve -3*f = -a - 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1682517, -3365030, -5047543, -6730056, -8412569, -10095082?\n\"Answer: -1682513*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26170 - 26278 = -12*d for d.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**14\/d**5)**19)**(11\/2) assuming d is positive.\nAnswer: d**(1881\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 308423753?\nAnswer: 11, 757, 37039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -17 (b) 7 (c) -0.23 (d) 0.3 (e) 2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 19, 48, 113, 232, 423, 704, 1093, 1608?\n\"Answer: 3*b**3 + 8*b + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4344\/10 - -3*18\/(-135). Suppose -3290 = 10*a - 3430. Calculate the greatest common divisor of a and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from {s: 5, h: 1, a: 3, k: 2, y: 5}?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 130, 123, 116?\n\"Answer: -7*f + 137","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the first derivative of 9*o**2\/2 + 10*o + 2. What is the first derivative of a(y) wrt y?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4192147 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 - 9*w**2 - 8*w. Let q be v(-8). Suppose q = 33*p - 34*p + 143. Suppose -11*c = 33 - p. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 52560.243ms?\nAnswer: 0.0146000675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**3 - 8*w**2 + 6*w + 11. Let c be s(7). Suppose -3*i + 3*z + 39 = -0*z, -3*i + 5*z = -33. Calculate the highest common divisor of i and c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 297693, 595391, 893091, 1190793, 1488497, 1786203?\nAnswer: 2083911","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -4. Suppose 2*g - 4*r - 8 = a*g, 3*r - 1 = 2*g. Let p = 4 - g. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-8)\/(16\/(-30)) + -2. Let j(l) = l**2 - 12*l - 9. Let b be j(d). Let v be 3 + (-15)\/5 - (1 - 4). Sort v, -5, -1, b in increasing order.\nAnswer: -5, -1, v, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -73*f + 55. Let p be i(7). Let d be (23 - 17) + (1 - p). Is d smaller than 463?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - 1) + -5 + 2 + (14 - 12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31 = s + 27. Suppose -t + 2*j - 6 = 0, -s*t + 3*j = -7*t - 9. What is the common denominator of 34\/6 + (14\/t)\/(-7) and 65\/27?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 10*g + 7. Let u(h) = h + 1. Suppose 0 = 3*k + 3, 5*q = -44*k + 39*k + 25. Determine q*s(y) - 42*u(y).\nAnswer: 18*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f**4\/7 + 9024*f**3\/7 - 1455200*f**2\/7 + 5676288*f\/7 = 0. What is f?\nAnswer: -4668, 0, 4, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 89, 0, 5, 2, 3, 1692 in increasing order.\nAnswer: 0, 2, 3, 5, 89, 1692","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of -17*m**7\/210 + 3*m**4\/8 - 28*m**2. Find the second derivative of a(i) wrt i.\nAnswer: -204*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 q when two letters picked without replacement from {g: 13, p: 3, q: 1}?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p*p**4*p\/(p*p**13) assuming p is positive.\nAnswer: p**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 105 divided by 1\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = a**3 + 3*a**2 - 7*a - 6. Let c be x(-4). Calculate the greatest common divisor of 12 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76881 = -2*c - 2*t - 11645, 4*c - 2*t - 130490 = 0. What is the ten thousands digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 19*u**2 - 42*u + 36*u - 4 - 2 - 21*u**2. Give l(-3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.8436796 nanoseconds?\nAnswer: 0.0000008436796","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -151 by -4.\nAnswer: 151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 1190907269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.16 less than 537.7?\nAnswer: 537.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1582952, 26 in descending order.\nAnswer: 26, -3, -1582952","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 2 = 2. Let a = 1 + y. Suppose -4*w + 8 = -4*g, -5*w = -12 + 2. Solve 5*p = -2*q - a, 11 = p - 2*q - g*q for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -2*s + 15. Let r(t) = -t**3 - 3*t**2 - 6*t - 5. Let y be r(-4). Let x = 29 - y. Is 4 a factor of f(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - n = 117, 8 = -4*r + n + 165. Suppose 4*l - 72 = r*l. Which is the closest to -2? (a) 0 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41029*s + 86 - 61880*s - 86.\nAnswer: -102909*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-11 - -14) + 4 - 7) + -17 + -12 - -12?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 - -31. Let y(b) = 2*b**2 + 16*b + 55. Is y(d) a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let j = 291\/26 - 276880\/24739. Are -0.1 and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/(b\/(b\/(b**33\/b))*b))\/((b**13\/b)\/b) assuming b is positive.\nAnswer: b**(-43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the third derivative of -u**4\/8 - u**3 - 39*u**2. Let a(z) = -z - 1. Give 18*a(b) - 3*g(b).\nAnswer: -9*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2 + (21 - 18)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -19219, -37833, -56447?\n\"Answer: -18614*o - 605","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28107*v + 8*v**3 + 28107*v.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 58150?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2874575?\nAnswer: 5, 11, 10453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/44 and 123\/292754?\nAnswer: 585508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000018595 rounded to seven dps?\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 115471 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -11834, -11829, -11824, -11819?\nAnswer: -11814","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 less than 830.167735356?\nAnswer: 1039.167735356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*k**3 + 2*k**3 + k**3.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1\/213 - 9563\/4686. Let t = -1580 + 28523\/18. Find the common denominator of b and t.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135363\/2395 + 57\/479. Let d = h - -56. Let l = 0.01 - 2.01. Sort 5, d, l in ascending order.\nAnswer: l, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 4) to base 9\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from aaaaaaaaa. Give prob of sequence aaaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.2 + -1.24. Let i = 0.04 + w. Let m = i - 2.0000011. Round m to 6 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-7600)\/120)\/38)\/(5\/(-81)).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:52 PM and 7:20 PM?\nAnswer: 328","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6245 divided by 1249?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v - 4*v - 7 + 6*v. Suppose 4*d = -7 + 31. Suppose 0 = -d*j + 3*j. Determine k(j).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 7 = 3*v, b - 44*v + 45*v = -1. Suppose 0 = -29*q + 34*q + 2*r + 9498, -b*r = -4. Round q to the nearest 10.\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*k**2 - 4*k**2 + 4*k**2)*(48*k**2 + 55*k**2 - 88*k**2).\nAnswer: 30*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -6*v**3 - 41*v + 4. Let a(y) = -y**3 + 4. What is 3*a(q) - o(q)?\nAnswer: 3*q**3 + 41*q + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 + 2 + -2 + -135 + 141 - 34.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, q: 1, c: 3}. Give prob of picking 2 c and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.421 + -0.421. Which is the nearest to 4? (a) f (b) 3\/8 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1508, -1510, -1520, -1544, -1588?\n\"Answer: -y**3 + 2*y**2 - y - 1508","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the first derivative of -169*h**4\/4 - 4472*h**3\/3 - 2037*h**2\/2 - 234*h - 11175. Solve m(c) = 0 for c.\nAnswer: -26, -3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (78\/14*2)\/(45\/(1890\/(-12))).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3090*z + 12389. Give v(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 0. What is the common denominator of 99\/10 and 10\/6 + u - -21?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 12:27 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/8 (b) 1\/7 (c) -13 (d) 4\/7 (e) 0.188\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6485 + -6477. Let n(y) = 74*y - 596. Determine n(o).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 30 - 23. What is the third derivative of 0*o**3 - 3*o**2 + 9*o**2 + 3*o**3 - p*o**3 wrt o?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 420 and 3668910?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78396?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3 + 12\/(-9))\/(2\/(-12)) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -475 - -451. Let b be 3\/(i\/10)*-4. Solve -b = 3*u + 4 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 u, and 1 f when three letters picked without replacement from ueleuufuluuluaauux?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*k**4 + 4*k**3*o**2 - k**3*o + 3603*k**3 - 441998*k**2*o**2 wrt k?\nAnswer: 144*k + 24*o**2 - 6*o + 21618","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -a**2 + 3*a + 22. Let p be u(-3). Differentiate -f**4 - 16 + 81 - 18*f**4 - 48*f**p wrt f.\nAnswer: -268*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2 + -2*1*-2. Let s = 1 + 5. Let m(j) = j**2 + 69*j - 1459. Let i be m(-86). Solve i*x + f = -4*k, k + 2*x = 2 - s for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 64, 49, 34, 19, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -79, 2918 in ascending order.\nAnswer: -79, 1, 2918","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -538 + 659 + 495 = -77*o. Which is the closest to -24\/7? (a) o (b) -0.4 (c) -4 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 - (-38 + 5) - -31\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 137054 to the nearest integer?\nAnswer: 370","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o + 13*h + 14 = -2*o + 16*h, -39*h - 6 = 18*o - 43*h for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = q**3 - 2*q**2 - 7*q + 8. Let d be o(4). Let y be (-12)\/(-9)*-3*2. Let x = y + d. Solve 6 = x*g - g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = -3*x + 6*x. What are the prime factors of x?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 30884?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that 1\/2*i + 0*i**2 - i**3 + 1\/2*i**5 + 0*i**4 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2*5*(-600)\/(-375)*6\/40?\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.905 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 1766*f - 7062. Let i be z(4). Solve -b + 3*t - 12 = 0, 40 = -i*b - t + 44 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-42)\/2)\/(155\/62*6\/20)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 6651 - 538742\/81. What is the common denominator of -37\/15 and h?\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ehhhehh. Give prob of picking 1 e and 3 h.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1613b (base 14) to base 12.\nAnswer: -27aa1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4876*k**3 + 82*k + 1565267.\nAnswer: 14628*k**2 + 82","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 11*k - 12 = 0. Suppose 2*m + 28 = k*m. Calculate the highest common divisor of m and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-1\/2))**(-9) assuming z is positive.\nAnswer: z**(9\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -201200200 (base 3) to base 4.\nAnswer: -3200103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 38001.\nAnswer: 3, 53, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45*q - 88*q + 93697 = 0. Is q a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 2, a: 4, j: 8}. What is prob of picking 1 i, 1 j, and 2 a?\nAnswer: 96\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43168539?\nAnswer: 3, 23, 625631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 12 in 1.4, -106\/5, 0.5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*z - 11750 = -15*i - 11735, 2*i = -0*i - 3*z + 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2 - -1. Let m = -13389 + 13389. What is the closest to u in -36, m, 4?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(312)\/sqrt(6))**2)*1.\nAnswer: -52 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k + 1. Let s be f(-1). Let l(u) = -u + 3. Let t be l(s). Suppose t*h = -0*h + 33. Calculate the smallest common multiple of 8 and h.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -12 + 1224403144?\nAnswer: 1224403132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 50952613, 101905227, 152857841, 203810455, 254763069?\nAnswer: 305715683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7 - 3. What is the common denominator of 50\/48*i\/3 and (-114)\/40*12\/18?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -26*z - 25*z - 306 for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*t + 33*t = 2205. Suppose 8*x - t = x. Is 35 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3196133 + 19304643373\/6040. Find the common denominator of -67\/28 and z.\nAnswer: 42280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 483 and 305277.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 12) in base 4?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 322*k + 2991 = -320*k, 4*b - 2404 = 4*k. Calculate the remainder when b is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*q + 37 + 0 = -2*f + 3, -5*f - 515 = -126*q - 4*f for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of 2 + 3*x + 0*x**2 - 3*x + 2*x**2. Let n(f) = f. What is r(n(b))?\nAnswer: 4*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 5918819 a multiple of 71?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 469 and 70551?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -4)\/(2\/(-8)). Suppose -4*y = -0*y - d. Solve x = -y*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16.60478 + -2.82992. Round j to 1 dp.\nAnswer: -19.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 35241234 divided by 7.\nAnswer: 5034462","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -4, -136, -8, 2\/3 in decreasing order.\nAnswer: 2\/3, -2, -4, -8, -136","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*f - 2*f = 20 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*w**2 - 85*w**3 + 5*w + 2*w - 1 + 2 - 12*w - w**4 + 87*w**3 to the form j*w + z*w**3 + y*w**4 + s*w**2 + m and give s.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -12 + (-348)\/(-28) + 123\/7. Solve -j*h = -21*h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 613*g - 614*g - 9 = -2*f, 5*f - 30 = 4*g for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (185357\/(-40295))\/(((-2)\/8)\/(15\/12)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:12 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (0 - -43)*(-9)\/(-9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*i**3*n**4 - 279*i**3*n**3 - 10*i**3 + i*n**2 + 3*n wrt n?\nAnswer: 48*i**3*n - 1674*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/3, -0.6, -18, 5, 0 in increasing order.\nAnswer: -18, -2\/3, -0.6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.4, -12, -198 in decreasing order.\nAnswer: 4, -0.4, -12, -198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((24\/(-312))\/((-4)\/52))\/4)\/(-1)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 689 - 685. What is the smallest value in 1, -2, y, 2\/27?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 5*m + 4. Let f = -493.9 + 494. What is the nearest to f in m, -23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 112261754?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 21803795 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/8)\/((l\/l**(-16))\/l))\/(l*l**(-2\/3))**(-21\/2) assuming l is positive.\nAnswer: l**(-101\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 18 - (-61 + -10 + 12 + 23)?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/1222 and -65\/4982.\nAnswer: 64766","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7854747438.\nAnswer: 2, 3, 1309124573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -20 * 1701.\nAnswer: -34020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -2\/9, -1\/27, 0.03, -3, -1\/122?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2441, 2318, 2119, 1850, 1517, 1126, 683?\nAnswer: 194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3571988\/711 - -5024. What is the common denominator of 53\/711 and s?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let a = 641 + -551. Let k(c) = -178*c - 255*c + a*c. Determine k(f(g)).\nAnswer: -343*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -23*n**2. Let o(i) = 4*i**2. Calculate o(h(u)).\nAnswer: 2116*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (-2*sqrt(1539) + -5 + 0 + -3*sqrt(1539) - ((sqrt(1539)*-2 + sqrt(1539))*-3 - (0 + sqrt(1539))*-3)))**2.\nAnswer: 1584*sqrt(19) + 186283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70)*3 - sqrt(70) - sqrt(70))\/sqrt(10) - sqrt(14)\/sqrt(2)*-4.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*z**2 - z**2 + 0*z**2)*(z - 4*z - z) + 4*z**3 - 7*z**3 + z**3 + (0*z**2 - z**2 - z**2)*(-3*z - 2 + 2) + z**3 + 3*z**3 - z**3.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*k + 90*k = 2*l + 16, -3*k + 4*k = 6*l + 24 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -113.1 + 112.94. What is the fourth smallest value in -0.12, 0.2, w, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1989293 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0 - 0. Let m = -116 - -116.93. Let f = m + 0.07. What is the closest to r in -2, f, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 3*c**2 + 4*c - 2*c - 4*c. Let k be a(7). Suppose 3*t = t + 3*b + k, -2*b + 63 = t. Calculate the highest common divisor of t and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 44 + 138\/(-460)*10.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0004848773 rounded to 5 dps?\nAnswer: 0.00048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3368, -6735, -10102, -13469?\nAnswer: -16836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -110, -113, -116, -119, -122, -125?\nAnswer: -128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24\/(-8)*12\/(-5)*(-121)\/(-1089).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 47\/14 and -47\/914.\nAnswer: 6398","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -192, -388, -584, -780?\n\"Answer: -196*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1549219 to the nearest integer?\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6321 is divided by 68.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 28\/3 and -40\/47.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 6257023 to the nearest integer?\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 times -6003?\nAnswer: -318159","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 104808862319 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1048?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 75*s**3 + 3*s**2 - s + 8. Let d(k) = 151*k**3 + 7*k**2 - k + 19. Calculate -3*d(l) + 7*m(l).\nAnswer: 72*l**3 - 4*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 9:57 PM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 8*r**2 - 9*r + 7. Let y be c(9). Let u be 0 + 1\/(-2) - (y + -7). Let m = -443.9 + 444. What is the second biggest value in -3\/5, u, m?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32*(-180)\/(-48000)*(-150)\/(-45)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the third derivative of d**5\/30 - 430*d**4\/3 + 11158*d**2. Determine m so that i(m) = 0.\nAnswer: 0, 1720","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -1856, -2023, -2190, -2357, -2524, -2691?\n\"Answer: -167*n - 1689","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-1)\/j)\/j*j)**(-1\/5)*(j**(-3)*j)**(-1\/72) assuming j is positive.\nAnswer: j**(77\/180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d = -0*o + o + 2, -3 = -5*o + 2*d. Let z be (0 + o)\/(3\/21). Suppose 0 = -z*u + u + 12. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9.8 + 9. Let j = z - -0.9. Let n = 3.4 - 3. What is the closest to j in 0.5, 0.2, n?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = 104136*d + 833091. Give i(-8).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**2\/9 - 20*d\/9.\nAnswer: 2*d*(d - 10)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*6*(2 + 128\/(-66)). What is the biggest value in -4, 2\/7, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**4 - 514*x**3 - 59152*x**2 + 1896450*x + 21491217.\nAnswer: -(x - 33)*(x + 9)*(x + 269)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 254, -5, -244, -4.\nAnswer: -244, -5, -4, 254","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*y**5 - 14139*y**4 + 11742*y**3 + 224964*y**2 + 300984*y + 24480 = 0. Calculate y.\nAnswer: -2, -2\/23, 5, 204","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 18 = 23. Let w(u) = -2*u. Let y be w(f). Suppose 0 = 5*p - k - 250, 5*p - 259 + 9 = -3*k. Calculate the highest common factor of p and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117938 is divided by 352?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 12*d. Find the common denominator of -63\/8 and d + 2 + 426\/(-12).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**15\/(p\/(p\/(((p**12*p)\/p)\/p)*p*p)))\/(p**(2\/23)*p**(1\/3)))**32 assuming p is positive.\nAnswer: p**(12320\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3108 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrr when three letters picked without replacement from ddrrrddrrd.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**3 + 7*h**2 + 7*h + 8. Let s be p(-6). Let i(d) = 4*d**2 + 3*d. Let o be i(s). Factor -o + 2*m**4 + 22 + m**2 - 3*m**4.\nAnswer: -m**2*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-120)\/(-80))\/((-117)\/84))\/(39\/(-169)).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m = -2*u, m = 4*u + 49 - 34 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -425\/31454 or 1?\nAnswer: -425\/31454","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -u**3 + 10*u**2 - 26*u + 28. Determine p(7).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -0.4 (b) 3 (c) -3023\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -662 + 666. What is the second biggest value in 16, g, 3?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 354 = -56*w + 130. Put 42, 5, w in ascending order.\nAnswer: w, 5, 42","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the first derivative of r**6\/480 - 63*r**5\/80 + 3969*r**4\/32 + 200*r**3\/3 - 28. Let k(z) be the third derivative of i(z). Factor k(c).\nAnswer: 3*(c - 63)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1440262 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ll when two letters picked without replacement from lxlx?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 4*j = -0*j - 36, -k - 17 = 3*j. Let n = -0.052 - 0.248. Which is the nearest to -2? (a) n (b) 3 (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/3402483085 less than or equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 5:39 PM?\nAnswer: 2:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -83594742*k*y**2 - 106316*y**2 - 2*y + 13 wrt k.\nAnswer: -83594742*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 - -25. Suppose -a = -0*a - m. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*c + 25248 = 3*c. Is c a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**4\/2 + k**3\/3 - 2*k**2 - 13*k + 12. Is x(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**3 + 37*h**2 + 14*h - 49. Let b be m(-18). Let z(t) be the first derivative of 9\/2*t**2 - 3*t - 2*t**3 + b. Factor z(u).\nAnswer: -3*(u - 1)*(2*u - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65192696 times 5\nAnswer: -325963480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5 and 172244.\nAnswer: 861220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 9268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1445?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-8)*l**7\/l*l\/(l\/(((l*l**(-7))\/l)\/l))*l*l\/(l**(4\/7)*l)*(l**5\/(l**(3\/5)\/l))\/(l*l*l*l\/(l\/l**0))**(-4\/9) assuming l is positive.\nAnswer: l**(-298\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4605, -9229, -13853?\n\"Answer: -4624*t + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1621, -1\/4, -40?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 46\/69 - (-4)\/(-3).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(325) - (4 + sqrt(325) + 1 + sqrt(325)))*-4)**2 - (sqrt(117)\/(5*sqrt(225))*-1)**2) + 5.\nAnswer: 800*sqrt(13) + 3503112\/625","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -280 + 655. Let h = l - 98. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 43 (b) -0.04 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1650 divided by -6?\nAnswer: -275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -5*j + 29. What is q(6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l**(-2\/7))**(-2\/51)*l**(-5)*l**2)\/((l**(-1))**(-6\/31)*(l**(2\/15)*l)\/(l\/l**(-5))) assuming l is positive.\nAnswer: l**(30344\/18445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c - 62 + 476 = 0. What is the greatest common divisor of c and 1587?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.39? (a) 4 (b) -0.8 (c) 0 (d) 0.3 (e) -0.066\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 700 or 605?\nAnswer: 605","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 5, 2486, -2, 341, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-398*i - 1423*i + 58*i)*(0 - 3*i + 0)*(0 + 2 - 3) in the form l*i**2 + a*i + f and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73 = 20*j - 9 + 56 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (1 + 2)*(1 - 25\/15)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -23564, -23445, -23326, -23207, -23088, -22969?\n\"Answer: 119*g - 23683","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18503279 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 277 minutes after 4:57 AM?\nAnswer: 9:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 90\/3 - (923 - 870).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 4, 2, 1274.9, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*i**4 - 5*i**5 + 8*i**4 - 2*i**5 + 2*i**4 - 2*i**4 + (1 - 1 + 2*i)*(2*i**4 + i**4 - i**4) + (-4*i**2 + 5*i**2 + 0*i**2)*(0*i**3 - 2*i**3 - 2*i**3).\nAnswer: -7*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*n + 12 - 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 2260 - 24625 = -3*y, -201435 = -9*u - 2*y. List the prime factors of u.\nAnswer: 3, 829","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 246*r**2. Let l(p) = -12*p - 16. Determine g(l(j)).\nAnswer: 35424*j**2 + 94464*j + 62976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-270)\/(-5) - (-1)\/(-1). Suppose -100 = -2*z + 4*j, 2*j = z - 3*j - t. Is 6 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-2730)\/(-49))\/(-10)*(-5)\/15. Let m = -3 + 4. Which is smaller: n or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.26588l in millilitres?\nAnswer: 19265.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 5) in base 13?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 358704560 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + (-3166)\/(-4*4\/8). Let n = c - 361. Let j = -722 + n. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r**2 - 7*r - 8. Let m be (-1 - -2)\/(3\/21). Let l(h) = -4*h**2 - 6*h - 7. Give m*l(a) - 6*c(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -655 - 133?\nAnswer: -788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -91 - -90.1. Let k = -1.1 - x. Which is the smallest value? (a) -21 (b) 0 (c) 1 (d) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.06 or -30\/11?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -203 in 0.1, -30, 8?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -m - 4. Let w be a(-6). Suppose w*k = -k + 3. What is the tens digit of (k + 162\/4)*(2 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) be the second derivative of -d**7\/126 - d**6\/18 - 7*d**5\/60 + d**4\/36 + 4*d**3\/9 + 2*d**2\/3 + 27*d. Let f(r) = 0. Calculate r.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 1 i when two letters picked without replacement from {o: 10, j: 4, i: 4, u: 2}?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -19*i**2 - 13*i - 13. Let h(u) = -3*u**2 - 2*u - 2. Let f = 54 - 30. Suppose -f = k + 3*k. What is k*q(d) + 39*h(d)?\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j - 3 - 6 = -b, -5*b - j = 9 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1912788 plus 0.04378?\nAnswer: -1912787.95622","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - -7. Suppose 2*w + b = 4*w. Solve 0 = -8*c + w*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 v when two letters picked without replacement from {u: 1, v: 4, q: 2}.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 6339989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/7*19\/19. Which is the third biggest value? (a) 0.08 (b) v (c) 3\/5 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 29 + -19. What is the lowest common multiple of i and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1 + (5 - 2175\/612) and -82\/15.\nAnswer: 1020","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-42)\/(-11) - (-16)\/88. Suppose b*j + 2*r = 8*j - 64, -2*j - 2*r = -38. What are the prime factors of j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from fclqiciv.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4632 + -4612. Sort 1, -3, -1, o, 36.\nAnswer: -3, -1, 1, o, 36","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.12233 * -1\nAnswer: 0.12233","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 1:30 PM?\nAnswer: 1:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -977, -3863, -8665, -15377, -23993?\nAnswer: -34507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -560.5 + 587.57. Let a = -27 + b. What is the second smallest value in 0.5, -0.3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 24, 60, 120, 204?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 163, -18, -5, -3, 5, -2 in increasing order.\nAnswer: -18, -5, -3, -2, 5, 163","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -3 (b) 0.31 (c) -1\/11 (d) 4740\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3299*j - 3569*j + 6414*j.\nAnswer: -454*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -113*t + 112*t - h - 1361 = 0, h = t + 1373. Is t greater than or equal to -1365?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4 or 6143\/2?\nAnswer: 6143\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 6*c = 5. Let d(a) = 2*a**2 + a. Let w be d(c). What is the units digit of (-8 + 1)*(w - 5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g. Let b be (-10 - (-1 - 3)) + 2 - 101. Let l = b + 104. Let k(v) = -3*v**2 - 4*v. Give l*k(t) - 5*r(t).\nAnswer: 3*t**2 - t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -63*k + 85*k - 350 + 697 - 347.\nAnswer: 22*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 79*q - 104 = 27*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:38 AM and 2:45 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10666 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -31821869*r**2*z**3 + 2*r*z**3 + 19*r*z**2 - 9*r*z - 4*z**3 - 2040*z wrt r?\nAnswer: -63643738*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -w - 3. Let l be f(-6). Let q(b) = b**2 + 5*b + 11. Let m be q(-2). Let j(t) = -4*t**2 + 3*t + 3. Let x(c) = 2*c**2 - 2*c - 2. Give l*j(p) + m*x(p).\nAnswer: -2*p**2 - p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 633512?\nAnswer: 2, 11, 23, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*o + 33*o - 48. Suppose -o*b + 22*b = -8. Solve -b*t = t + 10 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 3024*p + 3*p**2 - 43 + 39 - 6048*p + 3023*p. Let i(w) = -2*w**2 + 2*w + 3. Let h be 7\/2 - (-1)\/2. Let s(z) = h*i(z) + 3*n(z). What is s(-4)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 PM and 7:50 AM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5202\/23 + -329961\/1472. Let x be (-35)\/20*(-582)\/160. Let o = x - d. Find the common denominator of o and -91\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161248 is divided by 443?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 731.27100139 - 731.136. Let m = u - 0.135. What is m rounded to six decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5181 and 1745390823?\nAnswer: 5181","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/1964 and 121\/32830.\nAnswer: 32239060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -1 - 8 - g - 4. Let m(v) = -105*v - 525. Let r be m(-5). Calculate c(r).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 20042 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 2*w - 2. Let k be f(3). Suppose -3*d = -4*d + k. What is the second derivative of d*v + 5*v**3 + v + 13*v**2 - 13*v**2 wrt v?\nAnswer: 30*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30 = -29*z + 579. Calculate the remainder when 61 is divided by z.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -28372, -28214, -28056, -27898, -27740, -27582?\nAnswer: -27424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*u + 2*u = -15, -15 = -2*a - 3*u. Suppose 2*r - 3*l - 1180 = l, 2340 = 4*r - a*l. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 15 = -0*p, -h = p - 1. Let n(q) = q**3 - 2*q**2 - 11*q + 27. Let m be n(h). Let s = m + -100. What is the least common multiple of 78 and s?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 - 11*z**2 + 12*z - 3. Suppose p + 2 = -12. Let i = p - -20. Calculate the remainder when u(10) is divided by i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 - 33121?\nAnswer: -33122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v**4 + 228*v**3 - 3764*v**2 + 20172*v - 16632 = 0.\nAnswer: 1, 9, 14, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 280 = 14*s - 10*s. What is the remainder when -2*6\/4*(-7906)\/177 is divided by s?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*y - f, f - 15 = y + 3*f for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*b + 5 + 35. Suppose 2*h = -3*i - h + 816, b*h + 20 = 0. Is i a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 5. Let s = -5 - l. Let p = 1 - -1. Which is greater: s or p?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ccchhto. Give prob of sequence hcc.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 9015 by 5.\nAnswer: 1803","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -334*f*i*q**3 + 98*f*i*q**2 - 2*f*i + 2*f*q**3 - 9*i*q**3 - i*q**2 + 54*q**3 + 2875*q**2 wrt q.\nAnswer: -2004*f*i + 12*f - 54*i + 324","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -5 divided by 99\nAnswer: -5\/99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 16*j**2 - 19*j - 24. Let i be r(-17). Calculate the greatest common divisor of 25 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -2*d + 252. Suppose 2*u - 35 = -3*u. Suppose -d = -10*y + u*y. Is 31 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (15 - 1) + 184\/(-23). Calculate the highest common factor of 60 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 7) to base 3.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -26*t**2 - 16*t - 16. Let l = -15 - -18. Let v(u) = -5*u**2 - 3*u - 3. Let j(c) = l*o(c) - 16*v(c). Let p(k) = 10*k**2. Give p(j(q)).\nAnswer: 40*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 221299154?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 115.9578 - 116. Let z = y + -0.3578. What is the second smallest value in 0.5, z, 7, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*p + 10 = 20*p + 5*g, 2*p + 24 = 5*g for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22437?\nAnswer: 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 2262945 times -9?\nAnswer: -20366505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 400 divide 214115?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9320*b + 4693*b + 144557*b.\nAnswer: 139930*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 120 and 9750?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 180521?\nAnswer: 11, 16411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2318, 2314, 2308, 2300?\nAnswer: 2290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212345.\nAnswer: 5, 7, 6067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -39*i**2 + 45*i**2 + 37*i**2 + 45*i**2 - 107*i**2.\nAnswer: -19*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 17625?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 0.07, 0.03, 19, 0.1, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28698?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (645\/430)\/(-3*1\/4). Let f be (w + (-133)\/(-21))*3. Solve -2*n - 5*r + f = -2*r, 0 = n - 3*r + 16 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*g**2 - 4*g**2 + 4 - 2 - 2*g**2 as j*g**2 + f + n*g and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -84, -3, -24 in ascending order.\nAnswer: -84, -24, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 16 and 1344\/70*130\/39.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((6*(-2*sqrt(171) + sqrt(171) - sqrt(171)) - sqrt(171) - sqrt(171))*-1)\/(sqrt(9) + (-1*sqrt(99) + sqrt(99))\/sqrt(11) + sqrt(81)*-2) + 1)**2.\nAnswer: -28*sqrt(19)\/5 + 3749\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -93*l**4 + 414*l**3 + 417*l**2 - 174*l - 12. Let z(f) = -37*f**4 + 165*f**3 + 167*f**2 - 70*f - 5. Let u(p) = -5*r(p) + 12*z(p). Factor u(n).\nAnswer: 3*n*(n - 5)*(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.1, 23969037?\nAnswer: 23969037","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -2*k**2 + 5. Let j be o(9). Let w = 1087\/7 + j. Suppose -25 = 5*n, -5*n + 17 = z + 43. Is z at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 985263350 to the nearest 100000.\nAnswer: 985300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 minutes before 11:46 PM?\nAnswer: 10:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.8154361 plus 5278.9?\nAnswer: 5278.0845639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -100 + 52120?\nAnswer: 52020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-4)\/(-5))\/(44\/110))\/(88\/(-16)).\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 719.\nAnswer: 719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 66839\/22 + -3036. What is the common denominator of 108\/(-40) + 0 + 1 and d?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12151 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 371?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9740 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 664589205*c**5 + 230580*c**4 - 1993767595*c**3 - 1329870150*c**2 - 461220*c - 40 = 0 for c.\nAnswer: -1, -2\/11529, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14 and 3836.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 3 - 2. Let r be 4 + 66 + -3*j. Suppose r = 5*n - 193. What is n rounded to the nearest ten?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 225865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p**2 - 5*p - 5. Let u be n(5). Let t = 1876 - 1875.6. Which is the nearest to -2\/3? (a) u (b) t (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppqq when four letters picked without replacement from tppqpqpppp?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t - 3. Let b = -590 + 597. Determine s(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16*26\/4 + 1. Let y be (4 + 21\/(-3))*-14. Calculate the greatest common factor of k and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:12 PM and 8:15 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(833) - (sqrt(833) + 3)) - (sqrt(833)*-3 + 0))**2.\nAnswer: -252*sqrt(17) + 7533","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 6*n**2 + 24*n + 15. Calculate v(0).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 349 - 349.6. Let t = -73 + 73.4. Put k, -1\/3, -8, t in decreasing order.\nAnswer: t, -1\/3, k, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f + 10. Suppose -34 = -5*w + 26. Let h be (4 - 3)*(1 + w). Suppose 4*z - h*z = -63. Give l(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-44)\/(-8) + 2\/4. Suppose -2*s + 22 = 2*k - q*s, 3*s + 24 = 2*k. Suppose -k = -d + 24. What are the prime factors of d?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 16 = -5*l. Suppose h = -l*h + 25. Let 2*m**3 + 1 + h*m**4 - 6*m**4 - 1 - m**2 = 0. Calculate m.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 - 6*v + 5. Let t be n(6). Let u(i) be the second derivative of -1\/18*i**4 + 0*i**2 - 1\/60*i**t + 0*i**3 - 3*i + 0. Determine q so that u(q) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -47*q + 204. List the prime factors of z(-23).\nAnswer: 5, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -10*t + 14*t - 4 + 4 - 2*t**2 + 34*t**3. Let q be h(2). Calculate the highest common divisor of 34 and q.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 72 + -67. Suppose -k*x - 7 + 22 = -4*j, 0 = x + 1. Sort 3, j, 2.\nAnswer: j, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (46\/18 - 0) + -43 + 11 + (-32 - -61).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2416, -2161, -1918, -1693, -1492, -1321, -1186?\n\"Answer: -p**3 + 262*p - 2677","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 5*y = 1, -p - 3*y - 49 = 4*p. Let n(v) = v**3 + 9*v**2 + 9*v + 4. Let x be n(p). Is 9456\/45 + x\/30 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -624*h**3 + 516*h**3 + 18*h**2 + 491*h**3.\nAnswer: 383*h**3 + 18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, 11034.7, -4, -9, 4, -5\/2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 6. Let j = n - 4.4. Let k = 119\/3 + -40. Put 2\/3, k, j in decreasing order.\nAnswer: 2\/3, k, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 64586?\nAnswer: 2, 43, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -954 + 494 - 656 - 5*z**3 + 5*z**3 - 1237*z**4 wrt z.\nAnswer: -4948*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (13394\/200910)\/(((-8)\/16)\/((-10)\/(-9)))?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(6\/28)*(-1)\/(-6)*1036\/(-518).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4035578 to the power of 1\/2, to the nearest integer?\nAnswer: 2009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 100 and 20?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (0 - -61)*19\/418 and 31\/18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rynppfmfr. What is prob of sequence mfr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 131718?\nAnswer: 2, 3, 29, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31594610 is divided by 196.\nAnswer: 194","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/(-8)*52\/(-468)*36\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 - 2 - -18)\/1. Calculate the highest common factor of 40 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(2\/15)*y**(-5)*y**(-6\/7)\/(y*y**6*y))**(-17))**(4\/13) assuming y is positive.\nAnswer: y**(92752\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 7770?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -64, -74, -78, -76, -68, -54?\n\"Answer: 3*h**2 - 19*h - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 869 a multiple of 70?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*v = -v - 28. Solve -2*o = 4*f + v, -6*f - 4 = -2*o - 2*f for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-76783 + 76783 + 4754*m)*(m**3 + 3*m**2 - 3*m**2).\nAnswer: 4754*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -87677 + 175354 + 144*v**2 - 87678.\nAnswer: 144*v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.7512213l?\nAnswer: 751.2213","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) be the first derivative of 0*i**4 + 0*i**3 + 5 - 3*i**2 + 1\/15*i**5 + 0*i. Let v(k) be the second derivative of g(k). Let c(y) = 2*y. Give c(v(q)).\nAnswer: 8*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -g. Let m(w) = -931528*w. Determine m(x(a)).\nAnswer: 931528*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the first derivative of 4*f**3\/3 - 3. Suppose 8 = 3*o + 2*p, 2*o - p + 2 = 5. Let v(x) = 0*x + 4*x - o*x. Determine v(d(t)).\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the first derivative of -t**4\/2 - 5*t**3\/3 + 3*t**2\/2 - 32. What is the tens digit of c(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.559603 milligrams to grams.\nAnswer: 0.009559603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by 49670473.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.07 or -36.1?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*(-27)\/(-21))\/((-46)\/(-161))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 3.7 (b) -15\/11321 (c) -2 (d) 0 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 38 + (84 + -78 - (1 - -1))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1694) - (sqrt(1694) + 2*sqrt(1694)) - sqrt(28)\/sqrt(2)*-2)\/(sqrt(7) + sqrt(21)\/sqrt(3)*-6 - 1*sqrt(7)*4).\nAnswer: 20*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 5*d + 3. Does 14 divide h(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1658 + -1636. Solve -2*g - 18*a - 14 = -z*a, a = -3*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -40 by -74.\nAnswer: 20\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -22659 and 2.\nAnswer: -45318","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 85, 172, 259, 346, 433?\n\"Answer: 87*i - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 75713, 75756, 75827, 75932, 76077, 76268, 76511, 76812?\n\"Answer: p**3 + 8*p**2 + 12*p + 75692","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**3 + 34*f**2 - 18*f - 83. What is l(-7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {r: 2, z: 1, e: 1, n: 1, w: 2, x: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12001 - 2111200?\nAnswer: -2022122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12 + -9 - (4 + 7 + -7 + 1).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 - -5. Suppose -3*t + z*s = -30 - 159, 2*s = -4*t + 238. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6.1 in -1, -24, -20?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + 5 + 9\/3 + 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -344, -1, 5, -3 in ascending order.\nAnswer: -344, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -2*(-6)\/(-28) - (-1248)\/(-910). What is the second smallest value in o, -1, 1\/5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*c**2 - 18*c**2 - 20*c**2 + 34*c**2 + 2 - 2*c**4 + 7*c**3 in the form n + t*c**3 + r*c + w*c**2 + m*c**4 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -21*r**2. Let y(k) = 738194*k. Determine i(y(t)).\nAnswer: -11443538014356*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of g**2*p*v**3 + 18041*g**2*p*v - 4*g**2*p*x + 2*g*v**3 - 2*g*v**2*x + 26*g*v*x - 13*p*v**3*x + p - 15*v**2*x - 2*v**2 wrt g?\nAnswer: 2*p*v**3 + 36082*p*v - 8*p*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -229 = -5*b + 4*n, -4*n + 0*n - 49 = -b. Suppose -c = -i - 24 - 9, 0 = 3*i + 5*c + 75. Let r = b + i. What are the prime factors of r?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -14*t**2 + 48*t**6 - 1 - 39*t**6 + 1 wrt t.\nAnswer: 1080*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -276\/217 + 35645\/2604. Let x(k) = 6*k**2 - 15*k + 20. Let h be x(10). Calculate the common denominator of w and 695\/h - (-7 - -8).\nAnswer: 564","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/1648647 smaller than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 16 - 2 = 4*c, -4*k + 39 = 3*c. Let t = k + -12. Let d be -12*15\/t*2. What is the highest common divisor of d and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 677229920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -38786, -155016, -348728, -619922?\n\"Answer: -38741*o**2 - 7*o - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(192) + sqrt(192)*-2 + sqrt(192) - (2*(sqrt(3) + -3))**2 - (5 + (-1 + sqrt(75))**2 + -1).\nAnswer: -128 + 34*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -246 - -459. What is the remainder when s is divided by 102?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/9, 4, -4, 0, 2\/9, 32, 452?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aamamvmpdmmapadml. What is prob of picking 3 m?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/(m**(-5)\/m))\/(m**7\/m)*m**(3\/7)*m*m**(6\/13))**(-36) assuming m is positive.\nAnswer: m**(-9468\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dc when two letters picked without replacement from {d: 1, c: 14}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 6*n - 2*n + q, 0 = 3*n - 5*q - 9. Suppose -n*m + 15 = -0*m. Suppose -m*l + 43 + 147 = 0. What is the remainder when l is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 329.254 - -1.946. Let z = -320 + d. What is z rounded to one dp?\nAnswer: 11.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.3, -3\/7, -1\/7 in increasing order.\nAnswer: -3\/7, -1\/7, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q\/(q*(q\/(q\/q**(-2\/9)))\/q)*q*q)\/q**(-1\/3)*q**(-2)*q*(q\/(q**(2\/17)\/q))\/q*q assuming q is positive.\nAnswer: q**(832\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 67 - 59. Let z be (8\/(-12))\/(s\/900*-1). What is the greatest common factor of z and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2f0b1a (base 16) in base 14?\nAnswer: -5a37aa","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 91957 is divided by 2298?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 10, j: 10}. Give prob of picking 1 j and 1 t.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -45 = 3*q + q - 5*o - 61, 10 = 2*q - 3*o for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -42*t**2*u - 6*t**2 - 24*t + 124*u wrt t.\nAnswer: -84*u - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -56, -81, -104, -125, -144?\nAnswer: -161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 43\/4 of a minute?\nAnswer: 645","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**5 + 4*n + n**3 - 4*n + (30 + 19 + 47)*(n**3 - n**3 + n**5).\nAnswer: 94*n**5 + n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 4*q**2 - 3*q - 6. Let j be w(-4). Let v be (-4)\/j - 696\/9. Does 15 divide 4\/6*v\/(-2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 76130328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**2 - 9*u - 4. Let d be b(-8). Suppose -4 - 16 = d*g. Put -0.1, -4, g in increasing order.\nAnswer: g, -4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -804453*l = -804452*l - 2*i - 5, -4*i = l + 19 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-585)\/(-3))*-6?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.0360676.\nAnswer: 0.180338","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 491 minutes before 7:16 AM?\nAnswer: 11:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-14)\/(-2) - ((5 - 0) + -3). Suppose -s*y = c - 3*y - 32, c = 4*y + 62. Calculate the highest common factor of c and 72.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -13*h**2 + 37*h**2 - 171*h**3 - 167*h**3 + 344*h**3 as g*h**3 + s*h + t + y*h**2 and give y.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1745196*v**3 + 383625*v**2.\nAnswer: 10471176","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(130) + -3*(sqrt(130)*2 + sqrt(130)) + sqrt(130) + sqrt(130))\/sqrt(10)*-2 + -4*(-2 + (sqrt(13) - (-1 + sqrt(13)))) + 1)*3.\nAnswer: 15 + 36*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15461 + -10012. What is the thousands digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (0 - 0))\/2. Which is smaller: -1\/508 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 5 + 37)*(-5*n + 4*n + 3*n)*(-4 + 1 + 0)*(2 + 2 - 1) as u + k*n and give k.\nAnswer: -702","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -5*d**3 - 6*d**2 - 10*d - 3. Suppose -74*j - 85*j - 2565 = 126*j. Let h(i) = -11*i**3 - 13*i**2 - 21*i - 7. What is j*x(p) + 4*h(p)?\nAnswer: p**3 + 2*p**2 + 6*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*a**3 + 170*a**2 + 296*a + 120.\nAnswer: -2*(a - 30)*(a + 1)*(3*a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 199, 5, 0 in ascending order.\nAnswer: -1, 0, 5, 199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 5*d + 1. Let v = 14 - 9. Suppose -4*i + 3*w + 99 = 0, 3*w + 130 = 5*i - 2*w. Suppose l + i = v*y, 3*l + 2*y - 6 = l. What is a(l)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (4 - 5) - 2\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from averrrrarerxaae. What is prob of sequence xva?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 + (22 + -10 - -6) + -34 + -4.\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/27 and -70\/117?\nAnswer: 351","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4995?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = 16*y**2 - 4*y + 8. Calculate o(-2).\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6499920 and 155820?\nAnswer: 45499440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -5 - 11. Let z(k) = -3*k**2 + 3*k - 4. Let j(i) = i. Let a(n) = 4*j(n) - z(n). Is a(f) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10 + 12 + 6 - u**2 - 4*u + 0*u**2. Let o be b(-6). Find the common denominator of 4542\/216 + o\/(-18) and -76\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 24 - -1 - (-118 + 125)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xuux when four letters picked without replacement from mzuxuzzxuzzezuz?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5242 is divided by 89.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 6 - 42 = 0. Factor 2*y**5 - 2*y**5 - 12*y**3 + 3*y**5 - u*y**2 + 3*y**4.\nAnswer: 3*y**2*(y - 2)*(y + 1)*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 60910*k*l**3*u**2 + 1610*k*l**2*u**2 + k*l**2*u - 3*k*u**2 - 9*l**3*u**2 + 2*l**3*u + 3*l**2 + l*u**2 - u**2 wrt l.\nAnswer: 365460*k*u**2 - 54*u**2 + 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a**3 + 13*a**2 + 6. Let f be ((-1)\/(-3)*-1)\/((-15)\/(-585)). Determine g(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = 7*i**2 - 27*i - 13. Let x be u(5). Solve x*y = 23*y - 8 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of -a**4 + 10*a - 10. Differentiate h(o) wrt o.\nAnswer: -12*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -42 + 44.1. Let m = 178.7 - 179. Let z = m - c. Round z to the nearest integer.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -5*n - 4*w, 2*n - 497*w - 26 = -492*w for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 158 - -6?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 16 = -10. Let f = u + -2. Suppose 0 = 5*d + 4*b - 462, -2*b = -f*b - 6. Does 18 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 71049 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out -6 * -3259.\nAnswer: 19554","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 41a602 (base 12) in base 8?\nAnswer: 3743742","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 2770*b**3 - 2*b - 21. Let i be h(-3). Is (-2)\/78*-6 + i\/(-65) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4*((-425)\/51)\/25?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 210*b - 7754. Calculate y(37).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0259 - -0.1259. Sort -3, 45, w, -3\/4 in ascending order.\nAnswer: -3, -3\/4, w, 45","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 70*n - 24. Let j(b) = -41*b + 24. Let k(v) = 2*a(v) + 3*j(v). Determine k(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-235276)\/13021 + (-6)\/(-435)*5.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 - -2)\/(6\/96). Suppose -a*q + 3267 = -7*q. Let g = 72 + -39. What is the highest common divisor of g and q?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -671 and -0.2.\nAnswer: 134.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 366 or 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, h: 2, q: 6, a: 1}. Give prob of picking 1 h, 1 f, 1 a, and 1 q.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 104 and 792.\nAnswer: 10296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 54 = 2*t, -t + 36 = -2*u + 14. Suppose 3*s = 10*f - 807 + 306, -4*f + 216 = 4*s. Calculate the remainder when f is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 912 a factor of 1436710?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 95578?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -9 - -5. Let i = -14.1 - -15. Let z = i - -4.1. What is the third smallest value in b, z, -0.2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 1 - (22 + -19)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 b when two letters picked without replacement from nbbylbylunnlunn?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -15\/209 - 9\/19. Let v = -7\/33 - z. Which is bigger: v or 1\/4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.1 greater than -657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 836750?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 9615783?\nAnswer: 96157830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r = -6*s - 22, -38251 + 38277 = 2*r - 15*s for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1752 divided by 12651?\nAnswer: -584\/4217","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 1. Let n = -0.055 - -0.055. Which is the closest to v? (a) n (b) 4 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2*x + 5, -2*x = 4*w + w - 13. Suppose 5*n = 21 + x. Suppose 2*q - 5*l + l - 150 = 0, n*q = l + 420. What are the prime factors of q?\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**2 + 3*w**2 - 4*w**2 + (-w + 0*w + 5*w)*(4*w - 5*w - w) + (0*w + 12*w + 0*w)*(2*w + 2 - 2).\nAnswer: 15*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-11)*m*m*m**(5\/4))\/(m**(2\/81)\/((m*m\/m**(-4)*m)\/m)) assuming m is positive.\nAnswer: m**(-575\/324)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19078 is divided by 530?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.094004 from 8.\nAnswer: 7.905996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 181\/4080 and 1\/87720?\nAnswer: 175440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + 36 + -50 + -5 + 44.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -14622*k**3 + 199*k**2 + 2*k + 8. Let m(u) = 4874*u**3 - 73*u**2 - u - 3. Let n(o) = 8*m(o) + 3*t(o). What is the third derivative of n(w) wrt w?\nAnswer: -29244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*s**2 + 2*s - s - 2*s**2 as l + h*s + r*s**2 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108.0049 rounded to 1 decimal place?\nAnswer: 1108","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 + -16 + (40\/(-48))\/((-3)\/6)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s + 2*s - 4*j = 82, 0 = -4*s - j + 53. Let i be 12\/63*9 - (-4)\/s. Let a be (4\/26 + i\/(-13))\/1. Which is greater: a or 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + 1 - (5 - 6).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-2\/3))**(3\/4)*(t*t**(-2\/3))\/(t*t**(-8)))**(-1\/11) assuming t is positive.\nAnswer: t**(-41\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 2 - (-9)\/3 - -6. Suppose -x*f + 2*f = -342. Does 5 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-four fifths of a litre?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 5*q**2 - 4*q + 2. Suppose 0 = 5*z - 2*z - 12. Let f be y(z). List the prime factors of f\/5 - (-36)\/10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < 505?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -8 - 56. Let a be 30\/4*8\/(d\/(-4)). Let b be (15\/((-150)\/136))\/(2\/a). Are b and 101 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y - 18*y - y.\nAnswer: -25*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -15, -167, -593, -1431, -2819, -4895, -7797?\n\"Answer: -23*b**3 + b**2 + 6*b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(1\/4)*t*t**3)**32)**(-35) assuming t is positive.\nAnswer: t**(-4760)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1197 and 126.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -80586 divided by 6\nAnswer: -13431","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 3*w - 15*g + 16*g, 2*g + 9 = -w. Solve -5*k = q + 9, 2*q + 3*q = -2*k + w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -169 = -2*t - 51. Let f = 64 - t. What is the units digit of 0 - f*23\/(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**3 + 7*u**2 + u + 9. Let m be o(-7). Let k be ((-60)\/(-100))\/((-1)\/(-5)). Let b(f) = -3*f - 5*f**3 - 4*f**m + f**3 + k*f**3. Determine b(-4).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + -17 - -7 - (2 + -6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*x + 8 + 6, -2*r + 8 = -3*x. Which is the nearest to 0? (a) -2\/7 (b) r (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/13 - (-505)\/663. Let k = -1\/17 - w. Is 1 bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-30)*5*20.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2087 smaller than 2084?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 15 = 3*c + 3*q, -5*c + 3*q + 27 = 0. Suppose -36 = j - c*j. Suppose -3*o + j = -30. Is 8 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3708 + -3683. Suppose 72 = -3*x + 4*x. Calculate the remainder when x is divided by w.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4224828652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -90 (c) -0.3 (d) -5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n + 4 + 2 = 4*i, 1 = -i - 2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 162 and 90.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:34 PM and 12:10 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 40147 - 40147 + 688*w to the form h + c*w and give c.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**(2\/7)\/c*c))*c\/(c*(c*c**(5\/12))\/c) assuming c is positive.\nAnswer: c**(-11\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l + 0*l + 2*l**3 + 0*l**3 + 4*l**3 - 2*l**3 + (-3 + l**2 + 3)*(l - 4*l + 4*l) + (3*l**2 - 4*l**2 + 3*l**2)*(5*l - l - 2*l).\nAnswer: 9*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10677578 divided by 5338789.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 60 + 27*x - 60 to the form r*x + m and give r.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -141361802 to the nearest one hundred thousand.\nAnswer: -141400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 944 - 947. Let b(n) = -2*n**2 - 6*n - 4. Give b(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -55*m + 1. Let s(a) = 4100*a - 500. Let r(b) = 150*d(b) + 2*s(b). What is r(-17)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*y**4 + 26067*y**3 - 2228*y**2 + 428 wrt y?\nAnswer: 48*y + 156402","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 339036 plus -52?\nAnswer: 338984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 350*y - 344*y - 6 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 11, w: 1, n: 3, c: 5}. Give prob of sequence cwct.\nAnswer: 11\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -7*i - 7. Let p be g(4). What is the remainder when 10 is divided by (-30)\/p*(6 + 1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y - 5 = -4*p + 13, 0 = 2*p - 2*y - 18. What is the remainder when (-13 - -14)\/((-2)\/(-40)) is divided by p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/7 - (-57)\/(-21). Let r = 2 + c. Let q = 0 + 0. Which is greater: q or r?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/(-3*sqrt(27)).\nAnswer: -sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 21\/400 and 63\/6836840.\nAnswer: 68368400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 10*t = -18. Suppose 5*m - 24 - 26 = -5*b, -4*m = -t*b - 40. Solve f - m = 6*f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -41208424200 rounded to the nearest 1000000?\nAnswer: -41208000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 22 + -16. Let v = 19 + h. List the prime factors of v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = g**3 - 4*g**2 + 10*g - 18. Let q be r(3). Let b(v) = -2*v + 2*v + 2*v + 7 - v. What is the tens digit of b(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1125250 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -119750 = -22*o - 33004. What is o rounded to the nearest one hundred?\nAnswer: 3900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -7389804\nAnswer: 1\/2463268","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + 323?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -2*f**2 - 9*f + 13. Give m(-17).\nAnswer: -412","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 59 + 5 = 5*p, 2*q + 3*p - 142 = 0. Suppose -31 = -7*m + q. Solve m + 0 = 3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1209938 a multiple of 771?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 24 = -f + 3*f, 0 = 3*f + 12. Let p be (15\/(-12))\/((-2)\/w). Let d(x) = -2*x + 3. What are the prime factors of d(p)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -437\/613530 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5a47 + bc7?\nAnswer: 6830","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -8349.97 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 73 + -40 + -31 + 58?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -5, -7, 0.\nAnswer: -7, -5, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3986 a factor of 340185576?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y**2 - 90*y + 133. Calculate s(-18).\nAnswer: 133","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 3)*(2 + 3 - 7)*(2*x**2 + 19*x**4 + 14*x**4 - 23*x**4).\nAnswer: 40*x**4 + 8*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -95 + 3210?\nAnswer: 3126","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j - 4*x - 1628 = -0*j, -4*j = -2*x + 1640. Calculate the common denominator of (-6)\/27 + j\/144 and (23\/22)\/(-1) - 2.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(9)\/sqrt(3) + 3 + sqrt(81)\/sqrt(3) + ((sqrt(3) + sqrt(3) + sqrt(12))*-3)**2*-6.\nAnswer: -2589 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5567 - -5567.000005374. What is s rounded to five decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66718 is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1.7258 + 29.2742. What is the nearest to -2\/7 in -1\/33, 2, b?\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a**2 - 5*a**2 + 4*a**2 + (-a**2 + 0*a**2 - a**2)*(-2 - 2 + 2) + (-a + 2*a + a)*(-93*a - 22 + 196*a - 99*a) to t*a + g + c*a**2 and give t.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.4 + 4. Let o = z + -0.2. Let d = 0.9 + -7.9. Put o, -0.5, d in descending order.\nAnswer: o, -0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 43 divided by -8.\nAnswer: -43\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 j when two letters picked without replacement from {j: 5, k: 3, i: 8}?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from fvpepepppppeeeppev?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1158 - 1158. Solve -3*o - 5*l + 34 = 0, -o - l + 8 = -d*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -bc74 + 5?\nAnswer: -bc6e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 94 - 18. Suppose -5*j = -2*t + 101, -4*t + 9 - y = j. Let k = 33 + j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1, 4 in decreasing order.\nAnswer: 4, 1, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 3:37 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*h - 6, -4*a - 2*h + 11 = -7. Let v be 30\/a + 6\/4. Solve -3*s = v - 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 44861?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h**4 - 111*h**3 - 506*h**2 + 2544*h = 0. Calculate h.\nAnswer: -106, -8, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 2*g + 1 = 11, v = 3*g + 19. Find the first derivative of -6 - 11*o**v + 3*o**4 - o**4 wrt o.\nAnswer: -36*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*i = 78*i - 64. Let j = 371 - 254. Calculate the least common multiple of j and i.\nAnswer: 936","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 492082?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (49\/(-14))\/7*6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 566?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 4*m - 388, -4*c = -4*m - 1130 + 354. What is the hundreds digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1029895893*z**2 + 2*z + 621701006 wrt z.\nAnswer: 2059791786","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 80 = 4*z, -g + 93 = 2*z + 3*z. Let s = 40 + z. Let l(h) = 23*h**2. Calculate the remainder when s is divided by l(1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) 1\/2 (c) -2 (d) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-1\/7))**(-35)*(w**(3\/14)\/w)\/(w*(w\/w**(1\/6)*w)\/w) assuming w is positive.\nAnswer: w**(50\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -111616, -223266, -334950, -446668, -558420?\n\"Answer: -17*r**2 - 111599*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 480, -13 in ascending order.\nAnswer: -13, 5, 480","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9355601 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0232 + -4.9768. What is the nearest to m in -3\/7, -1, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-1 + -2)*(-16 - -16). Let s(j) = 7*j + 513. What is the hundreds digit of s(r)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -285, -387, -475, -543, -585, -595, -567, -495?\nAnswer: -373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + 2 + -5 + 2 + 3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 744?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*(3 - (-206)\/(-70)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that -l**4\/5 - 128*l**3\/5 + 2289*l**2\/5 - 432*l = 0.\nAnswer: -144, 0, 1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-518 - -700)\/((-7)\/2))\/(1*-2 - -1).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.16 (b) 3\/5 (c) 4 (d) -71 (e) 1\/4 (f) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11134946 to the power of 1\/2, to the nearest integer?\nAnswer: 3337","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*p - 106 = 4*p - 2*v, 0 = 2*v - 6. Let j(b) = 2*b**2 - 19*b - 45. Is 15 a factor of j(p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 81*i - 2642 - 193. Sort -12, 0, i in increasing order.\nAnswer: -12, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2\/19 (b) 1\/4 (c) -2\/7 (d) -0.11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 + 108. Let j(m) = 6*m - u*m**2 - 4*m + 10*m**2 - 12*m**2. Let b(p) = -p**2. Calculate b(j(r)).\nAnswer: -784*r**4 + 112*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29*c - 5*s = -37*c + 81, s = -c - 24 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*w + 3 = 21 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 25449611.69 and 650.\nAnswer: 25450261.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d = 3*w - 0*w - 52, -5*w - 5*d = -60. Suppose -9*k + w*k = 20. Solve -k*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -43*o + 43*o - 183*o**2 - 5*o + 2*o**2 + 5*o + (2*o + 0 + 0)*(5*o - 5*o - 2*o).\nAnswer: -185*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -304, -778, -1588, -2818, -4552, -6874, -9868?\nAnswer: -13618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 5 = 3. Suppose -3*y + g = -4*f, -5*y - 12 + 0 = f. Let m(h) = 3*h**2 - 1. What is the tens digit of m(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -176*n + 187*n = -99 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2.33 + -2.2. Let o = 4.13 - y. What is the biggest value in o, 0.1, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = o**2 + 6*o + 3. Suppose -3*f - 24 = 3*j, -f = -j - j + 8. Suppose -14 - 25 = 3*d. Let a = d - f. Calculate g(a).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -39623.806 times 5?\nAnswer: -198119.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -54.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 2974 (b) 5 (c) -3975\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11495 is divided by 50.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 416.9834 millennia to decades.\nAnswer: 41698.34","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -271, -230, -185, -136, -83, -26?\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the third derivative of n**7\/105 + n**6\/40 - n**3\/3 - 3*n**2. Let y(q) be the first derivative of h(q). What is the third derivative of y(g) wrt g?\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 105\/(-315)*15*-1. Calculate the greatest common factor of l and 265.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12414799\/108 - -114951. What is the common denominator of o and 137\/24?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - -1 - (-22 + (31 - 2))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62 = -c + 234. Let a = 267 - c. What is the tens digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.12299 + 1917.\nAnswer: 1917.12299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand -9*a**4 + 10*a**4 + 9*a**4 + (29*a**2 - 2324*a + 2324*a)*(5*a - a**2 - 5*a).\nAnswer: -19*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -163 divided by -2629567\nAnswer: 163\/2629567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = i**2 + 8*i + 9. Let b be o(-6). Let m be (-1)\/b + (-4)\/12. Let w = 365 + -353. Solve -w = -m*l + 3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41345*l - 16046*l + 17599*l - 67862*l.\nAnswer: -107654*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 0 - 10*p**2 + 0. Let r = 861 - 845. Let i(j) = -5*j + r*j - 10*j. What is s(i(l))?\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*p + 52*p + 33*p - 4910004 = 0. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 779 - 41.\nAnswer: 738","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -78810*y**4 - 365290 wrt y?\nAnswer: -315240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 49456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1168970 and 770.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 - -14819055666\nAnswer: 14819055664.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.04 - 1. Let x be -5*35\/(-225)*6 + -4. Which is the third smallest value? (a) r (b) x (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-3)\/(-4))\/(35\/4*(-1580)\/2212).\nAnswer: -3\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 175, 294, 501, 802, 1203, 1710, 2329, 3066?\nAnswer: 3927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 9060380, 9060381, 9060382, 9060383, 9060384, 9060385?\n\"Answer: q + 9060379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/125137 or 3?\nAnswer: 2\/125137","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -155, -108, -35, 58, 165?\nAnswer: 280","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3559898 to the nearest integer?\nAnswer: 1887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m. Let w(b) = -9*b - 51*b**2 + 9*b - 48*b**2. Calculate w(k(c)).\nAnswer: -396*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (6\/8)\/(172\/336*-1 + 1278\/2982)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) be the third derivative of -1\/504*r**8 - 7*r**2 + 0*r + 0*r**3 + 0*r**6 + 1\/36*r**4 - 2\/315*r**7 - 4 + 1\/45*r**5. Suppose l(j) = 0. What is j?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*h = 3*t - 39, 0 = -5*t + 4*h + 62. Suppose 2*z - t = -4. What is the remainder when z\/3 - 22\/(-2) is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1344 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-11))\/((-32)\/(-176))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 499.0256cm to millimeters.\nAnswer: 4990.256","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 26045 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + 3. Let p(b) = b - b + b - k. What is the units digit of p(6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9170 or 9242?\nAnswer: 9242","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 6281 or -37.747?\nAnswer: -37.747","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011.4406 rounded to zero dps?\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 12, v - 3*v + 2*c = -134. Suppose 0 = -4*q + v. List the prime factors of q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -179*n**5\/3 + 6070*n**4\/3 + 35449*n**3\/3 + 1040*n**2 = 0. What is n?\nAnswer: -5, -16\/179, 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - 6 - 46) + 41?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 984, 983, 982, 981, 980?\nAnswer: 979","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 13110\/475*(-10)\/(-1). What is the highest common divisor of p and 2139?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 511103 (base 6) to base 2.\nAnswer: 1001110111101111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-14)\/276*(-196)\/1029*3?\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 2*r**2. Let o(t) be the third derivative of 0*t**3 + 0*t - 3*t**2 + 0 - 1\/12*t**4. Give z(o(w)).\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(-1)*(12\/(-24))\/1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 4, 14, -50\/2121?\nAnswer: -50\/2121","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.977503 rounded to two decimal places?\nAnswer: -153.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z + 116 = 4*w, 3*w - 121 = 4*z - 33. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(4\/3)\/k**(2\/3))**23\/((k*k**1)**(1\/3)\/(k\/(k*k\/(k**(-1\/3)\/k))*k**(-4))) assuming k is positive.\nAnswer: k**(25\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1240797520 + -1240797497.00000068. Let t = 21.5 - -1.5. Let v = t - n. Round v to 7 decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 289 + -289. Solve m = 3*h - 2 - 7 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*q**3 + 1115*q + 1090*q + 1230*q - 3435*q.\nAnswer: -14*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 4:40 PM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n*r**4 + 3*n*r**3 + 190878*n*r**2 + 13*r**4 + 65*r**3 wrt r.\nAnswer: -48*n*r + 18*n + 312*r + 390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -98 or -166124?\nAnswer: -166124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1442 a factor of 29246592?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -6*s**3 + 3*s. Suppose -4*o = 4*c + 40, o - 10 + 6 = c. Let d(x) = x - 8*x**3 - 5*x**3 + 6*x. Give c*h(j) + 3*d(j).\nAnswer: 3*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 94995426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 8. Let h be s(4). Suppose -5*c = -h*v - 104, 0*c + 80 = 3*c + 2*v. Solve -c = -3*a - 3*m, -3*a - 3*m = -2*a - 18 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f**2 - 4*f**3 - 23 - 3*f**3 + 4*f**3 to d + s*f**2 + p*f**3 + t*f and give d.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*h + 23 = 3*v + 16*h, 2*h - 12 = -4*v. Solve v*y - 19*y = 14 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22.00035 + 22. What is t rounded to four decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 + -4. Solve y*u - 24 + 9 = 0 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -633814*-0.1.\nAnswer: 63381.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*a + 45 = 933. Solve 26*y - a*y = -6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -162*o**2 + o + 11. Let q(u) = -40*u**2 + u + 3. Give -22*q(t) + 6*x(t).\nAnswer: -92*t**2 - 16*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 122 = 4*x, -5*x + 0*x + 142 = 4*n. What are the prime factors of x?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 34493?\nAnswer: 17, 2029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/3105 and 151\/270.\nAnswer: 6210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*c + 100*c + 110 - 55*c to k*c + m and give m.\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -1 (b) 0.1 (c) -1\/33 (d) -1633\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 5*f + 5. Let h be c(-4). What is the common denominator of h*93*6\/(-60) and -29\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of -w**6\/720 - w**5\/12 - 9*w**4\/4 + 22*w. Let x(c) be the third derivative of v(c). What is x(-8)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -6 + 3 + 2 + 9*3. Suppose 23*p = s*p - 333. Is p a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 118800352*d**3 - 42056773*d**2.\nAnswer: 712802112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4*1\/(-4))\/(22\/4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*u + 244 = 337 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6 + 1\/((-16)\/(-24)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-25 + 26)\/((-1)\/33) + 2 + -9 - -8\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-k**2 - k**2 + 0*k**2)*(-1845 - 3584 + 157 + 535) in the form x + o*k + t*k**2 and give t.\nAnswer: 9474","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1133927.\nAnswer: 101, 103, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = -4*t + 8, -3*h - 2*t = 8 - 28. Suppose h = 3*x - 0*u + u, -4*x - u = -12. Let d(i) = 8*i. Is 16 a factor of d(x)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:16 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2 + 12. Suppose 0 = -2*g + z + 5, 4*z - 2*z = -2*g - h. Solve 4*l + 0*l + 8 = g for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vrcavvcpcchhc. Give prob of sequence cpp.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 92811 minus 122165280?\nAnswer: -122072469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -16, 8\/3, 4?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 7*w**3 - 5*w**2 + 5*w - 4. Let j(x) = -3*x**3 + 3*x**2 - 3*x + 2. Calculate 5*j(d) + 3*m(d).\nAnswer: 6*d**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 16.47, 5\/6, -3?\nAnswer: 16.47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 take away 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 22935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 - 1 - 1)*(-3*c**2 + 0*c**2 + 2*c**2) + 25*c - 25*c + 4*c**2)*(2 + 3*c**2 - 2) - 1 - 2*c**4 + 1.\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1396582?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 6*q - 1. What is t(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.3 - -0.7. Let q be 39564\/891 - (-2)\/(-9). Let a = 44 - q. What is the second smallest value in d, 0.2, a?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4525 * -349.\nAnswer: 157.9225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(2\/23)\/q)*q*q**2\/q)\/(q**(-1\/6)*q**(4\/13)) assuming q is positive.\nAnswer: q**(6767\/1794)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -94 - -94. Solve u = -4*k + 8 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) be the first derivative of -y**2\/2 + 7*y - 1. What is the units digit of f(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 611 + -605. Suppose -4*s - 2 = -10, -o = 5*s - 27. Calculate the remainder when o is divided by b.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19 by -458.\nAnswer: 19\/458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3*-1*(0 + 1). Let n be 2\/6 + (-84)\/(-18). What are the prime factors of (6\/n)\/(c\/20)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 12306 = g, 2*g + 30*k = 29*k + 24568. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 777 is divided by 124.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3 + -1. Let n(b) = 17*b + 51. Let y be n(19). Suppose s = -373 + y. Solve r = q + s for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -19851, -19854, -19857, -19860, -19863?\n\"Answer: -3*g - 19848","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) be the second derivative of -a**3\/6 + 7*a**2\/2 + 2*a. Let o be f(7). Let b(g) = g**2 + 16. List the prime factors of b(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r + 1. Let w(o) = 18*o - 2. Let t(i) = -3*c(i) - w(i). Determine t(8).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 453*c = 452*c - 16, -4*p - 5*c + 4 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -17*o**2 + 8*o - 4. Let f(k) = 9*k**2 - 4*k + 2. Let h(b) = -7*f(b) - 4*w(b). List the prime factors of h(2).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 582071 is divided by 225?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 253004 to the nearest integer?\nAnswer: 503","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.845156796 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/10 - 6136771*x**2\/10 + 51549141*x\/2 - 2706334533\/10.\nAnswer: -(x - 21)**2*(x + 6136813)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 3 = -3*b - 5. What is the nearest to 0.1 in 0.18, -3\/7, 1.4, b?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 3*u**2 + u + 1. Let j(m) = -7*m**2 - m - 1. Let q(w) = 5*i(w) + 2*j(w). Let x(n) be the first derivative of q(n). Calculate x(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(2448) - (1 + sqrt(2448)))*1)**2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 275722?\nAnswer: 2, 89, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3496 and 11096.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-72)\/180)\/(1\/(-10)). Suppose k - 2 = 5. Suppose 2*a = k*a. Solve a = h*s - 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 2*f**2 + 4*f. Let g be m(-7). Let t = 24 - -199. Let q = t - g. Calculate the highest common factor of q and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -10 + 46 + -7 + 68 + -67.\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -6.43 + 6.430000618. What is c rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*t**3 - 818 + 1638 + 1534*t**2 - 820 as i*t**3 + y + n*t**2 + g*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -53\/14 + 219\/56. Which is the second smallest value? (a) -0.17 (b) 2\/3 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*w = 41*w - 261 - 542 for w.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3131*z**4 - z**2 + 9755 wrt z.\nAnswer: 12524*z**3 - 2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*q - 4 = 0, 0 = x + 4*q + q - 29. Suppose x + 7 = p. What is the remainder when p is divided by 12\/(-9)*3\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3308, -4087, -4866, -5645, -6424?\nAnswer: -7203","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -183*i + 2956 + 1160 = -477*i for i.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -z - 5. Let a be t(-6). Let d(v) = 14*v**2 + v - 1. What is the units digit of d(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -56*w**5 - 3*w**3 - 1099*w**2 + 3*w. Let x(h) = 2*h**5 + h**3 + 4*h**2 - h. Let g(j) = b(j) + 3*x(j). What is the third derivative of g(y) wrt y?\nAnswer: -3000*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 112101 + 22011111?\nAnswer: 22200212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j + 22*j - 12*j + 17*j.\nAnswer: 27*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 741858.\nAnswer: 2, 3, 13, 9511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 76*n - 78*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4\/7 - -2\/21. Let o(w) = -w**2 + 3*w. Let f be o(3). Let h = -1\/4 + f. Which is the closest to m? (a) h (b) 1\/2 (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3406957 at least 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g - 14 = -71*c + 69*c, -3*c + 23*g + 106 = 0 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0586 times 1?\nAnswer: 0.0586","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4736 + 4735. Let t = 2 + -1.8. Let k = t + -0.1. Which is the closest to 0.2? (a) 4 (b) k (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 2 = 2*a. Let l be (-54)\/(-45)*(-10)\/(-3). Put 7, a, l in ascending order.\nAnswer: a, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16781 is divided by 885.\nAnswer: 851","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1533 divided by 5335.\nAnswer: 1533\/5335","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/(4\/(-24)). Let z(a) = 6*a - 4. Let j = -6 - -8. Let g be z(j). Solve n = 6*n - 5*r + 20, -2*r = -x*n - g for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 454587*v**2 + 1189587 wrt v?\nAnswer: 909174*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-11)\/r**(-7\/4)*r**(1\/18)*r\/r**4 assuming r is positive.\nAnswer: r**(-439\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 3 - 1)*(10 + 5 + 7)*(1 - 2*l**2 - 1) - 23*l - 10*l**2 + 23*l to the form x*l**2 + s*l + v and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/4)\/(-5*9*(-6)\/3060)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n**(2\/9)*n\/n**(-7))**11 assuming n is positive.\nAnswer: n**(913\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 21*m**3 - 5 - 5*m + m - 20*m**3 + 7*m**2. Is r(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1734*b = -25178 + 77198 for b.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 8*g**2 - 12*g + 5. Let y be b(6). Let x(v) = -4*v**2 + v + 9. Let r be x(4). Let s = -44 - r. Solve 5*w = -d + 12, 5*d + y + s = -w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -25.32195533657 - 3?\nAnswer: -28.32195533657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -616 = -51*d - 26*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -481 + -238. Let a = k - -3462. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 453 = 1119. Let u = 792 + j. What is the remainder when 135 is divided by u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -25 * -148465\nAnswer: 3711625","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, -4, 2, 45 in descending order.\nAnswer: 45, 4, 2, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3\/5 (b) 5 (c) 0.056\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3013 and 262?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -3*a**2 - 4*a + 0*a**2 + 4*a**2 + 8*a. Let n be k(-5). Suppose -2*u - 1 = -n. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -7634*y - 404612. What is s(-53)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6950005 + 6950005 + 18*b.\nAnswer: 18*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5 + -3. Let v be 0*(-1 + 0)\/k. Let x(t) = -5*t - 10. Let r be x(-2). Are v and r unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**3 + 21*z**2 - 2*z - 28. Calculate f(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*y + 40 - 39*y - 44*y - 6*y + 175*y - 45*y.\nAnswer: -3*y + 40","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 14461567 to the nearest integer?\nAnswer: 3803","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -31, 2, -0.1, -3.\nAnswer: -31, -3, -0.1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from pppepep?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 - 1.03. Let d = 0.8 + m. What is the nearest to 0.2 in 2\/7, d, 0?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/3, 5\/3, -62\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.4 and -397.\nAnswer: -158.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 57*c**2 - 6*c*u**2 + 593*u**2 wrt c.\nAnswer: 114*c - 6*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 2\/15, -1.9, -1\/6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/4 and 3\/992?\nAnswer: 992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*s - 3*s**2 + 2*s**4 + 6*s**3 + s**4 - 13*s - 2*s = 0. Calculate s.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2\/3, 0.3, -2, 4?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-442)\/6 - (-48 - -59). Is -84 not equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11877*r - 539*r - 266517 = -1751795 for r.\nAnswer: -131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 2 + 1 - 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 102*f - 117601 = 26*f + 6051. Calculate the remainder when f is divided by 433.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 565492 - -4?\nAnswer: 565496","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*n**5 - 444734*n**4 - 3410136*n**3\/5 + 2312832*n**2\/5 + 71168*n - 237216\/5 = 0. Calculate n.\nAnswer: -2, -1\/3, 2\/5, 14826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**3 + 9*c**2 + 9*c + 10. Let y be s(-8). Suppose -2*n + 40 = f - 8, -y*n - 2*f = -46. Suppose -n = -b - 0*b. Is b composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*k - 7*k - 77 + 31 + 80.\nAnswer: -3*k + 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -127*n - 24 = -133*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 200 = 39*p - 35*p. Suppose -14 = -4*s - p. Let b(d) = -2*d - 12. Determine b(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -86327 and 12.41.\nAnswer: -1071318.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6747\/12880 - 27\/80. Let s = -11731\/1610 + c. Find the common denominator of -26\/5 and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 860 and 21844?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 753.\nAnswer: 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7083*n + 165778 + 95404 + 107134 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1045389 a multiple of 818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3311077 is divided by 89.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 100980 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xfaocqcq. What is prob of picking 1 q, 1 o, 1 c, and 1 x?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16403 is divided by 2246.\nAnswer: 681","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -7*b**3 + 14*b**2 + 3*b + 60. What are the prime factors of m(-6)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 886420049?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m**2 + m + 44. Determine g(7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 2*h**2 + 14*h + 13. Let r be o(-6). Which is the nearest to -4\/7? (a) -3 (b) -6 (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 111 divide 3262512?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -32 + 42 + 2 + -1 + 3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 3 = -2*y. What is the closest to 1 in 0.1, y, -2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) be the third derivative of m**6\/120 + m**5\/12 + 5*m**3\/6 - m**2. Suppose -49*o + 476 - 84 = 0. What is the remainder when n(-4) is divided by o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 3*o = 121, 0 = 2*o + 2 + 4. Let w = f - -30. Factor 2\/11*p**w + 12\/11*p + 18\/11.\nAnswer: 2*(p + 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 110010110 - 100?\nAnswer: 110010010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5516426 + 1?\nAnswer: -5516425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 50*o - 148. Let k(r) = -9*r + 27. Let v(s) = -11*k(s) - 2*p(s). Let u(f) = 6*f + 1. Let c be u(4). Suppose 2*d + 3*d + c = 0. What is v(d)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x**2 - 18*x**2 + 41*x**2 - 15*x**2 - 9*x**2.\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 238.9 rounded to the nearest one hundred?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -22 - -100. Suppose -2*h + s + 6 = -h, -3*h = 3*s - 12. Suppose h*i + t = 3*a + 2*i, 4*a - 2*i - 96 = 0. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -67, 5.\nAnswer: -67, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 19 = 18*d - 19*d, -4*d = 2*o + 14 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + 231 = 4*a. What is the smallest common multiple of -42 - -49 - (-2)\/1 and a?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 6*q = 0. Suppose q = u - 4*b - 31, -4*u - b = -47 - 26. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 843168332?\nAnswer: 2, 9967, 21149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1368 and 72?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30917075 and 427425?\nAnswer: 92751225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4.996 - -0.004. Sort -0.2, k, -8 in ascending order.\nAnswer: -8, -0.2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*h**3 - 48*h - 4*h**2 + 140*h + 6 - 42*h - 50*h to the form q*h + y + i*h**2 + n*h**3 and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 36427698 to the nearest ten thousand.\nAnswer: 36430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + -4 - 0) + (-11 - 24 - -49).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z**3 - 31*z**2 - 29*z + 32. What is a(-30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = -u**2 - 4*u - 1. Let h be n(-2). Suppose -5*k - h*f + 258 = 0, 4*k + 46 = 2*f + 270. Is k a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -29*0.52.\nAnswer: -15.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -27860.9 * 4.\nAnswer: -111443.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(76) + -4*sqrt(76))*-1 + 2 + sqrt(76) + -5)**2*-4 + 0).\nAnswer: -192*sqrt(19) + 4900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 11*d - 17. Let k(n) be the second derivative of 4*n - 2\/3*n**3 + 0 + 0*n**d + 1\/3*n**4 - 1\/20*n**5. Factor k(w).\nAnswer: -w*(w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-5)\/3)\/(52\/6 - 9). Solve -10*t = -i*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t - 4*t = 5*h + 45, t + 2*h = 12. Let l = -9 + t. Suppose -l = -z + 14. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 44 + 3374662?\nAnswer: 3374726","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 231 - 231.93. Round k to 1 decimal place.\nAnswer: -0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102001210 (base 4) in base 14?\nAnswer: -1cc96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1189?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 20 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gvzk when four letters picked without replacement from {k: 8, g: 1, i: 1, e: 2, z: 1, v: 1}.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 78636685 to the nearest integer?\nAnswer: 428","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/10, 4, -0.14, -0.3, 0.18, 2, 1\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -13 + (2 - -6) + -2. What are the prime factors of 7\/u - (-784)\/4?\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 35 = -2*j, 2*j + 0*h - 2*h = 10. What is the least common multiple of (((-6)\/(-45) - 2) + (-60)\/450)*-22 and j?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 5.7. Let j = -745 + 84181\/113. Let z = j - 767\/678. Which is the second smallest value? (a) z (b) y (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h\/(h*h\/(h*h**4)*h)*h*h)**22 assuming h is positive.\nAnswer: h**154","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.91 - -4.51. Which is the nearest to -7? (a) -8 (b) q (c) -0.1 (d) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -830.969 rounded to zero decimal places?\nAnswer: -831","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -103039 + 103036.73853. Let f = 2.26 + a. Round f to four dps.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -195, -177, -147, -105, -51, 15, 93?\nAnswer: 183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v - v + 4*v)*(1 - 1 - 1) + 0 + 0 - 2*v - 3*v + 5*v + v + 140*v - 141*v + 11 + 14.\nAnswer: -2*v + 25","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -0*u - u - c + 6, 5*c = -u + 22 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 21*m + 4. Let q be t(-3). Let v(w) = w**2 + 5*w - 4. Let x be v(-5). Let o = x - q. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1070)\/214*(27\/(-60))\/(3\/16).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-28 + 7065*d - 13938*d + 7054*d)*(0 + 3 - 2) in the form o*d + y and give o.\nAnswer: 181","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*p = -102*p + 38 + 73 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 3*u + 4*u)*(-u - 4 + 4)*(8*u**2 + 5*u**2 + 16*u**2).\nAnswer: -145*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*27\/126*((11960\/(-105))\/13)\/2.\nAnswer: 46\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = -3*s + 24, -11*s - 3*h - 30 = -14*s. Calculate the remainder when 94 is divided by s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 92718 and 153?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6 - (0 + -1) - -3. Let r(b) = 2*b + 4. Let s be r(u). Let z = s - -11. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7998006779?\nAnswer: 7, 17, 47, 353, 4051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3.2? (a) 7\/12 (b) -1\/3 (c) -3 (d) -0.6 (e) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-183)\/2)\/(1401\/934). Put 5, y, 3, 0, -3 in decreasing order.\nAnswer: 5, 3, 0, -3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55642703 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 51609?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 621.\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: ((3\/1)\/((-2)\/2))\/(-1)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 549*h + 24. Let b be m(4). Calculate the highest common divisor of 74 and b.\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29256 divided by 4876\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = -8*r + 150. Suppose -3*t + t + r = 0. Does 4 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 2, a: 7, g: 6, w: 4, v: 1}. Give prob of picking 3 w.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 134, 329, 648, 1085, 1634, 2289, 3044, 3893?\n\"Answer: -n**3 + 68*n**2 - 2*n + 69","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 divided by 4809?\nAnswer: 5\/1603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44026?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (14\/154 + 574\/(-385))*(4 - -1).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 107*n**2 + 1. Give w(1).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 160 = 4*x, 2*f + 0*x - 77 = -x. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r*((r*r**6)\/r)\/r*r**(2\/3)*r**(-6\/11)\/r**(-1)*(r*r**1*r*r)**(1\/48)*(r*r**0*r)\/(r\/(r\/r**0)) assuming r is positive.\nAnswer: r**(405\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 15 and 747.\nAnswer: 3735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-7) - (-46)\/(-126)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34 a factor of 12104?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 340736359 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134065553?\nAnswer: 17, 1783, 4423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26100 and 3780.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*j = -2*j + 28. Let d = 7 + j. Let c = -9 - -4. Sort -1, d, c in descending order.\nAnswer: d, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -93066, -93049, -93032, -93009, -92974, -92921?\n\"Answer: t**3 - 6*t**2 + 28*t - 93089","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -156523*k**2*r - 102798*k**2 - 1 wrt r.\nAnswer: -156523*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 446 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1 + -1. Let l be (-18)\/(-5) + n\/(-5). List the prime factors of l\/6*3\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 21*s + 2. Let b(n) = -11*n - 1. Let i(t) = 5*b(t) + 3*j(t). Let u(h) = 7*h + 1. Calculate 6*i(d) - 7*u(d).\nAnswer: -d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = s - 17, 55*s - 60*s + 4*j = -155. Let k(f) = -3*f + 33. Calculate the remainder when s is divided by k(10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5022779 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3\/10? (a) -9500 (b) -0.2 (c) -0.5 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.480981km in centimeters?\nAnswer: 48098.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 14*k**3 + 2*k**2 - k. Let s be j(1). Suppose s*x = -170 + 650. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -472, -660, -848, -1036?\n\"Answer: -188*g - 284","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -15) + (51 - 41)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 81254 to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ojpphln. What is prob of picking 1 j, 1 p, and 1 l?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a micrometer in nanometers?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -121010111211 + 11?\nAnswer: -121010111200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**2 - 157141*u - 39285 = 0.\nAnswer: -39285, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 243.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 310*w - 18567. Determine d(89).\nAnswer: 1102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 7 - 4. Let t(w) = w**2 - w - 15. Let n be t(-4). Solve -4*x - b*j - 19 + n = 0, 5*x + 5*j = -15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -467335 + 2093335. Suppose -4*q + 24 + 13 = -3*r, -5*q = -2*r - 41. Suppose -l = v - q*v. Round v to the nearest ten thousand.\nAnswer: 270000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1669*c**3*j**2 - 3*c**3 - 4*c**2 + 13*c*j**2 + 87*c wrt j?\nAnswer: 3338*c**3*j + 26*c*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 2079?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78022 is divided by 26007.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -45aa + 2b?\nAnswer: -457c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1213 - -1210. Sort m, 5, -1.\nAnswer: m, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d**(-5))\/d**(1\/6))**(2\/17) assuming d is positive.\nAnswer: d**(-19\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18792115 is divided by 18792107?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1.1, -126, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.8991 nanograms to kilograms.\nAnswer: 0.0000000000098991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -19\/24*p**4 + 0 + 52*p**2 - 2\/3*p**3 + 0*p. What is the derivative of s(d) wrt d?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0*(-1)\/(2 - 1). Suppose -u + 29 - 5 = 5*z, o = -3*z + 4*u + 19. Suppose -116 = g - z*g. Calculate the highest common divisor of 319 and g.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -7*n + 11. Let m(g) = -3*g + 6. Give 7*m(p) - 4*t(p).\nAnswer: 7*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-14 - -10) + 0 + 1. Let m = 4.22 + -0.22. Which is the third smallest value? (a) -1 (b) n (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -73\/70 - -9\/14. Let s be 123\/205*10\/39. Which is the second biggest value? (a) s (b) -5 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 - 6. Suppose -3*o + j*g - 200 = o, g = o + 50. List the prime factors of o\/(-4) - (-2)\/(-4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = 4 + 0*l + l - 19*l. Is c(-4) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n + 34 = -5. What is the remainder when n is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/462 and 85\/4.\nAnswer: 924","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -2*t + 15. Determine h(6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(-4))\/(27\/24)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 t, and 1 v when three letters picked without replacement from qvnvtsqqzqvnqqsqs?\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + 1. Let n = 507 + -358. Suppose -n = -5*a + 51. What is the highest common factor of a and u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 19 + -15. What is the remainder when f is divided by ((-6)\/(-4))\/(4\/8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -138, -524, -1156, -2028, -3134, -4468, -6024?\n\"Answer: y**3 - 129*y**2 - 6*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50, -44, -20, 34, 130, 280?\nAnswer: 496","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (4\/(-6))\/((-132)\/(-36)). Let f be 16\/28*63\/54. Put -0.1, f, i in decreasing order.\nAnswer: f, -0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 937526?\nAnswer: 2, 23, 89, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 8827*w**2 - 4415*w**2 + 4*w**3 - 4412*w**2.\nAnswer: 4*w**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49.82 - 48. Let u = -1.8199907 + m. What is u rounded to six dps?\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 146, 507, 1090, 1895, 2922, 4171?\nAnswer: 5642","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 48 divide 20*534\/36*3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 1. Let i(q) = 2*q + 142. Let z be i(-70). Suppose w - 10 = z*p + 10, -n*w = -4*p - 68. Does 6 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 105610284 and 548910.\nAnswer: 528051420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -54101*t - 43255*t + 37148*t - 10.\nAnswer: -60208*t - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 3*r**2 + 122*r + 461. Let d be s(-4). Solve d*v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (3 + 24)*(-22)\/(-198). Solve 10 = -w*y + 2*f, 6 + 14 = 3*y + 4*f for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1864.3 - -1864. What is the nearest to -1.4 in n, 4\/7, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -256, -1424, -4236, -9400, -17624, -29616, -46084?\nAnswer: -67736","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 7 = -2*h, 2*d + 2*h = 514. What is the greatest common divisor of 28 and d?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 120467290?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h = -2*d + 6, -h = -2*d - 0 + 1 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*x**2 + 9786*x - 4850*x - 4725*x.\nAnswer: -3*x**2 + 211*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4292*d**2*l**2 + 2*d**2*l + d**2 - 3*d*l**2 - 2*d*l + 159*l wrt l?\nAnswer: 8584*d**2 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 23310 - 23302443?\nAnswer: -23224133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -1732*k + 29438. Give c(17).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 14*y**2 + 168*y - 11. Calculate k(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -d - 5. Let c(t) = -t - 4. Let m(a) = -5*c(a) + 4*p(a). Let x(z) = -6*z. Let o = 259 - 258. Calculate o*x(y) + 5*m(y).\nAnswer: -y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/3)\/q**(3\/4))**(3\/25))**32 assuming q is positive.\nAnswer: q**(-104\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**1*d*d*d**(-6))\/((d**(3\/2)*d)\/d*d**(-8)) assuming d is positive.\nAnswer: d**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/28 (b) -2\/19 (c) -2\/7 (d) 1915\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 12 - 14. Suppose -181 = -r*u - 97. Calculate the remainder when 167 is divided by u.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.18 * -1.4.\nAnswer: -0.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -100*y + 97*y = 2*t + 11, 0 = y + 3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -32, -74, -132, -206, -296?\nAnswer: -402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 219 and 2110722.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 + 13. Let f = k + -2. Suppose 1 = w + f. Sort w, 3, 2.\nAnswer: w, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sp when two letters picked without replacement from {o: 1, k: 3, e: 2, s: 4, z: 3, p: 2}?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 2:50 AM?\nAnswer: 3:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14 and 6489?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 39.83 + -39.77. Which is the third smallest value? (a) -0.09 (b) -2\/3 (c) y (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n + 1. Let v be j(4). Let x(h) be the first derivative of -h**5\/20 - h**4\/6 - h**2 + 2*h - 2. Let a(r) be the first derivative of x(r). Give a(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of 0*x + 3*x**2 - 8333\/2*x**4 + 4\/3*x**3 + 0. Let c be h(-2). What is c rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hw when two letters picked without replacement from ekwkhte.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s = -k - 7, -146*k + 141*k - 2*s = 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 3113569 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(136)\/(6*(sqrt(40)\/sqrt(5) + sqrt(8))).\nAnswer: sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -w + 250 - 250 - 18*w**2.\nAnswer: -18*w**2 - w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -113\/1360 and -61\/272.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -1\/6*o**3 + 0*o - 3\/8*o**4 + 5*o**2 + 0 - 1973\/10*o**5. Let t be f(-7). Round t to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*b + 2*c - 344 = 86*b + 17*c, -5*b = 4*c - 5*c - 359 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20.9 - -21. Which is the nearest to 0? (a) f (b) 5 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c (base 15) in base 9?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5625 is divided by 236.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -36*(-2 - (-10)\/4). Let h = f + 12. Let j(g) = g**3 + 7*g**2 + 7*g + 6. Calculate j(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5665197 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3.6 - 3.4. Which is the fourth smallest value? (a) 3\/7 (b) -0.5 (c) -1 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 55138 divided by 5.\nAnswer: 55138\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 125 divide 1373375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(2\/49)*r\/((r\/(r\/(r*r**(2\/9)\/r)))\/r*r) assuming r is positive.\nAnswer: r**(361\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/10*((-85)\/(-50))\/(-17))\/((-147)\/14)?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/11)\/(c**(1\/3)\/c))**(5\/6) assuming c is positive.\nAnswer: c**(70\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**2 - 44*w + 274. What is a(-41)?\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*sqrt(128)*-1 - 3*3*-1*sqrt(128).\nAnswer: 104*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -431564 divided by 107891?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 24*(-1)\/(-4) - 18\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 19 = 5*r, 18*y - 4*r = 21*y + 14. Solve -y = w - 4 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 641*v**3 + v**2 - 1936669*v wrt v.\nAnswer: 3846*v + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p - 2*c + 10 = -4*c, -3*p - 4*c = 20. Suppose p*g = g. Let b = -43\/133 - -3\/7. Which is bigger: g or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -76 + 239 + -145 - (-23 - -2)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 21561019 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (119\/(-21) + 6)\/((-1)\/(-639)) is divided by 75?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 m when three letters picked without replacement from ammaammammmamammaaa.\nAnswer: 40\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12 (base 15) to base 11.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (35\/(-2))\/(-2*(-8)\/(-32)). Suppose 30*q = f*q. Let h = 0 + 3. Solve s - 4 = q, -2*u + 0*u = -h*s + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**11\/x**(1\/19))\/(x*x*x**1*x**3) assuming x is positive.\nAnswer: x**(94\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 639, 2551, 5737, 10197, 15931?\n\"Answer: 637*n**2 + n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 151964?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.6021586 micrograms in tonnes?\nAnswer: 0.0000000000006021586","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.31 or 365?\nAnswer: 0.31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -205963317 divided by -1401111?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 11*r - r**2 + 14 + 7*r + 10 + 0*r. Is d(8) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -105?\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8035459 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -3*m**2 - 7*m - 4. Let c be j(-9). Let u = c - -168. Let l = 0.2 - 0.4. Which is smaller: u or l?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**3 - 28*v**2 - 131*v + 74. What is q(32)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2012*k = -2021*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -41\/86 - 1\/43. Which is smaller: -8\/3 or d?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12344 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 31*y + 1. Let a(r) = r. Calculate a(z(b)).\nAnswer: 31*b + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v*v**(2\/23))*v)\/v)**(8\/3)*v**(-23)*v*v\/v**24 assuming v is positive.\nAnswer: v**(-3121\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 743 is divided by 17?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -151 + 457\/3. Which is the second smallest value? (a) 5\/4 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1\/(-3))\/((-56)\/(-48)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/5, -0.05, 1\/9?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6*2\/(-28) + ((0\/4)\/(-23))\/2.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 222 divide 1157730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a - l - 29, 5*a - 9*a = -4*l + 28. Let s be (4\/9)\/((-6)\/(a\/(-3))). What is the closest to -4 in s, 0, 2\/17?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 4*j + 6. Let v be k(-4). Let h = 11 - v. Suppose h*x + s = 5, -4 = 3*x - s + 3*s. Solve g - 6*g = -x*a + 1, -3*a = -9 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/35)\/((-81)\/(-135)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*z + 9*z + 11*z + 18 = 0. What is the biggest value in -0.1, z, 9\/7, 0.1?\nAnswer: 9\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1590639*h**6 - 2*h**3*z**3 - 8*h**2*z**3 - h**2*z**2 + 1326*h*z**3 wrt h.\nAnswer: -190876680*h**3 - 12*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.549996 rounded to three dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 4*b + 2. Let g be k(4). What is the tens digit of (-1)\/(-2*g\/60)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-378)\/72 + (-2*1)\/(-8). Let v be (11 - -1)*f\/15. What is the tens digit of 43*(1 + 1) - v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cro when three letters picked without replacement from {o: 3, a: 2, x: 4, d: 1, r: 2, c: 6}.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 + (22 - 4) + -82?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1756 + 435?\nAnswer: 1b8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 676 minutes before 3:57 AM?\nAnswer: 4:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9 - -36. Let a = 16 + -5. What is the remainder when 939\/p - 10\/(-75) is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 10*x - 5. Let l be h(1). Solve -12*d + 11*d = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 29681644?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 2e99b (base 15) to base 4\nAnswer: 210302033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -61*c*q**5 - 27*c*q + 4*c - 2*q**5 wrt q.\nAnswer: -1220*c*q**3 - 40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 40 = -3*j, 0 = j - 0*j. Suppose y + 4*f = 0, l*y = 15*y - 3*f. Solve -4*g + y*g = 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1b4 (base 13) to base 11\nAnswer: -268","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (3 - 1) - -28. Suppose -c = -2*q - 1. Does 6 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 430 = 5*j, -1626*j = -1621*j - 5*a - 430. Calculate the highest common divisor of 86 and j.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 8*j**2 + 3*j - 20. What is the remainder when 246 is divided by r(-7)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4090 = 5*m + 8*k - 3*k, 3*m = 3*k + 2484. Let s = m + -474. What is the hundreds digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 27903?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 316989716 to the power of 1\/3, to the nearest integer?\nAnswer: 682","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/2)\/((-9)\/1332). Suppose -7*z = -n - 157. What is the greatest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -2*j - 14. Let n be 94\/(-14) + (-4)\/(-14)*-1. Let t be a(n). Solve -2*m + t*m = 4 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 94\/1121 (b) -2\/11 (c) 17\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*k + 10*k + 20 - 8)*(-9 - 7 + 2).\nAnswer: -28*k - 168","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 31 - 4?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 189.79459582 rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 74275.64 kilograms?\nAnswer: 74275640000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 a factor of 77188019?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 23 - 14. Let q = n - 6. Let w = 5 + -3. What is the nearest to q in w, -1\/2, -1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v when two letters picked without replacement from {e: 1, v: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 50657375 to the nearest integer?\nAnswer: 7117","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 - i**2 + i + 2. Let q = 15 + -17. Let n be m(q). Let l be (60\/(-90))\/(2\/6). Put l, n, 9 in descending order.\nAnswer: 9, n, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**2 - 2*z**2 + 3*z**2 + (z + 4*z - 4*z)*(2*z + 2*z - z) + 5*z + 2*z**2 - 5*z to the form p*z**2 + q + i*z and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 32 - 30. Let i(m) = 29*m**2 - m + 2 - z*m + m + 4*m. Is i(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - -3) + -3 - (-7 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 - (2 - (4 + -1)). Suppose w*y = 2*y. Solve y = 3*p - 2*a + 10, 3 = -2*a + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 3*h + h = 17, -2*y + 2 = 4*h. Solve -y*g - 4 = 6 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.87 and 29?\nAnswer: 32.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -96, -276, -566, -996, -1596?\n\"Answer: -5*t**3 - 25*t**2 - 70*t + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (4 + 0 - 2)*(0 - 2 - 4)*(-6*w**3 - 8*w**3 - 8*w**3) in the form h + i*w + b*w**3 + x*w**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the second derivative of -v**7\/63 - v**6\/45 + v**5\/30 + v**4\/18 - 49*v. What is x in i(x) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42 = 4*f - 14 for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**2 - 4546*d + 355971 = 0.\nAnswer: -4623, 77","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/30*20\/8.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 - (9 - 28 - 16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, z: 2, g: 1}. Give prob of picking 1 g and 1 k.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -64 + -10 - -37 - -76\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 7\/5 (b) -60\/97 (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 114*o**2 + 1 + 262*o + 6 + 2*o**3 + 114*o**2.\nAnswer: 2*o**3 + 262*o + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27425 (base 15) in base 10?\nAnswer: 125810","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -28 - -27.94. Let h = 0.06 + l. Which is the closest to h? (a) -3 (b) 0.3 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -27 (b) -1 (c) -17\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2939 + 2939. Factor q + 4*d**3 + 0*d + 4\/3*d**5 + 4\/3*d**2 + 4*d**4.\nAnswer: 4*d**2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 20*p + 254. Calculate y(-13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 5*g**2 - 12*g - 1. What are the prime factors of h(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*p, -4*m + 3*m + 5*p = 162. Let w = m + 239. Suppose -3*u + 3*s = -w, -3*s - 2*s - 40 = -u. List the prime factors of u.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*h - 8 - 48 - 44 - 38*h + 101 - 42*h.\nAnswer: -51*h + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -290*y + 4579 = -18331. Solve -4*z = -4*k + 4, 0 = -5*k - 69 + y for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -85\/1056 and (-13 + 69 - -9)\/(66\/3).\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) be the second derivative of i**8\/56 - 7*i**4\/24 - i**2\/2 - 4*i. Let z(k) be the first derivative of f(k). What is the second derivative of z(p) wrt p?\nAnswer: 120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -7000, -1, -19, 1\/6, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/3*-19*(-13)\/40014*3?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 202 - 201.918. Let z = o - 0.482. Let n = -3 - -2.8. Which is the third smallest value? (a) n (b) 1 (c) -2\/13 (d) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -88 + 177\/2. What is the third biggest value in -0.02, p, 3\/4, -3\/8?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -119758 + 2*t**2 + 119758.\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 79423.29ml in litres?\nAnswer: 79.42329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**4\/13 + 1218*i**3\/13 - 30096*i**2\/13 + 182304*i\/13.\nAnswer: 2*i*(i - 12)**2*(i + 633)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 3*s + 1. Let v be n(3). Let x be (4\/4 + 0)\/((-3)\/(-6)). Solve -v = x*c + 3*c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 137309520 + 3159?\nAnswer: 137312679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -186\/11 + 7823\/462. Which is smaller: 1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.18 and 525.657397686.\nAnswer: 525.477397686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.471 not equal to 2.2526?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -697\/5 + 139. Let o be (-3)\/1*(-12)\/117. Let y = 14\/39 + o. Are c and y nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -32, -36, -40, -44, -48, -52?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.07 + -1.13. Let o = 5.64 - 6. Let w = u - o. Sort w, 0.4, 1 in decreasing order.\nAnswer: 1, 0.4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = 18*b - 7. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d + 1 = 3*d + b, 0 = -4*d + 3*b - 7. Let g be (-9 + 9)\/(d\/(-2)). Suppose -5*r - 2*k + 192 = g, 3*r - r - 92 = 3*k. Is r a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1728.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 9*i**2. Let f(r) = -r**2. Determine -35*f(h) - 5*q(h).\nAnswer: -10*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the first derivative of 0*s**3 - 9\/4*s**4 - 2 - 5\/2*s**2 + 0*s. What is the second derivative of w(t) wrt t?\nAnswer: -54*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**3 - 6*s**2 + s. Let c be f(6). Suppose -2*u + c*u = 76. Calculate the remainder when u is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 - (16 - (2 + -4 + 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2e + -1?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) be the second derivative of -109*c**5\/20 - c**4\/6 - c**3\/6 + 1685*c**2 + 478*c. Differentiate b(x) wrt x.\nAnswer: -327*x**2 - 4*x - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 522457 and 104.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 3 + 1 = 0. Let g = f + 3. Let v be (-4 - g)\/(6\/(-4)). Solve -10 = v*k + 2 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*-0.009.\nAnswer: -0.027","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/10*(-2960)\/37 + 14?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + -1 - 6\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(245) + -2 + -4 + sqrt(245))**2.\nAnswer: -168*sqrt(5) + 1016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 91*i**2 - 59*i. Determine r(3).\nAnswer: 642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 1 - 2)*(2 - 4 + 0) + (-3 + 0 + 0)*(0 + 1 - 2))*(-21*b**3 - 6*b**4 + 21*b**3) to p*b**4 + v*b**2 + x*b**3 + w + h*b and give p.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 118710 - 3?\nAnswer: 118706","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 36\/(-6)*(1*2)\/(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(176) + (sqrt(11) + 1)**2 + -2.\nAnswer: 10 + 10*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the third derivative of a**5\/20 - a**4\/24 - a**3\/3 - 2*a**2. Suppose -5 - 1 = -3*x. What is the units digit of r(x)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4200)\/(-3300) - 3\/11. Is w at most as big as -9571?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 51453 and 9.\nAnswer: 51453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -522, -2029, -4532, -8025, -12502, -17957, -24384, -31777?\n\"Answer: r**3 - 504*r**2 - 2*r - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -5*b - 2. Let g be k(0). Let h(j) = -22*j + 4. Is h(g) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + z)*(-2*z - 29*z - 2*z)*(-2 + 2 + 3*z + (1 - 2*z - 1)*(2 + 1 - 8) - 3*z + z + 3*z).\nAnswer: -462*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24269, 48337, 72417, 96509, 120613, 144729, 168857?\nAnswer: 192997","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6361 - 6326. Suppose -3*s + 28 = s. What is the greatest common factor of s and q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -287261\/33 - -8705. Let u(m) be the third derivative of 0*m**4 + 7\/330*m**5 + 5*m**2 + 0*m - f*m**3 + 0 + 1\/220*m**6. Suppose u(j) = 0. What is j?\nAnswer: -2, -1, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 85.9 + -85.9. What is the nearest to y in 7\/5, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 40*k**2 + 146*k + 58. Determine d(-36).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000018451 rounded to seven decimal places?\nAnswer: 0.0000185","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16858831 greater than or equal to 16858829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -6, -0.5, -4, -0.0657.\nAnswer: -6, -4, -1.2, -0.5, -0.0657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 18561\/11? (a) 1\/6 (b) -2 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 117 and 12789?\nAnswer: 166257","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1400*q - 1024*q - 3363 - 8518 = -2185 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a0 - 4?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of -j**7\/840 - j**5\/30 + 2*j**3\/3 + 2. Let t(q) be the third derivative of n(q). What is the second derivative of t(m) wrt m?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(sqrt(288) + 0) + -2)*-4)**2.\nAnswer: -165888*sqrt(2) + 5974272","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the first derivative of -3*m**4\/2 - 13*m**3\/3 - 9. Find the third derivative of f(p) wrt p.\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*c + 10*c - 8. Let q(d) = d + 8. Let p be q(c). Suppose -4 = -p*r, 4*r + 25 = 2*f - 35. Calculate the smallest common multiple of 12 and f.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + (0\/(-3))\/(3 - 5). What is the third derivative of -17*x**2 + 6*x**5 - 2*x**5 + b*x**2 wrt x?\nAnswer: 240*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in sixty-one quarters of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -586525b?\nAnswer: -586525a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 3.316015mm?\nAnswer: 0.000003316015","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 50842227?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 308? (a) -1 (b) 0.1 (c) 0.2 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -217 - -112. Let t = x - -100. Which is the third smallest value? (a) 0.4 (b) -52 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(sqrt(204) - ((sqrt(204) - -3*-1*sqrt(204)) + sqrt(204)))*5)\/((sqrt(12) - -2*sqrt(12))*3 + (sqrt(1452) - (sqrt(1452) - -3*sqrt(1452))))*1.\nAnswer: 25*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 128 + -128. Solve w = -7*q + 4*q - 3 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 13*m**3 + 2*m**2 - 3. Determine t(2).\nAnswer: 109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 10\/(-15)*(-1 - (-20)\/8). Which is the nearest to p? (a) -4 (b) 2\/9 (c) -2 (d) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 + 11*k**2 - 11*k + 12. Let b be i(10). Let j = -2 - -4. Suppose 0 = -b*m - j*m + 48. What is the units digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14607 - 6579 = -918*j + 10229 + 2551 for j.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 430031380231 take away -0.64?\nAnswer: 430031380231.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -368 - 19?\nAnswer: -386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13257.\nAnswer: 3, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 432*h**2 - 4*h - 41. Let y(l) = l**2. Give s(y(t)).\nAnswer: 432*t**4 - 4*t**2 - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*a + 16, 24*a - 8 = -3*k + 20*a for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -16 - 4. Let r be (-44)\/i + 3\/(-15). Suppose -4*q = 3*f - 40, -r*q = -3*f - 5*q + 36. What is the highest common factor of 8 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 101.9 (b) 1 (c) -62 (d) 110\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000059514 rounded to 7 decimal places?\nAnswer: 0.0000595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -0.1517+15165747.6045\nAnswer: 15165747.4528","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 50 + 13 = -3*k, -4*c - 5*k = -111. Suppose m - 2*m = -28. Let u = -19 + m. What is the remainder when c is divided by u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 + 1. Suppose -3*u - z*d + 5 = -3, 4*u - 4*d = 20. Solve -6 - u = 5*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4111785 * 7.\nAnswer: -28782495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 21526 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(16\/3))\/(f\/f**(11\/4)))**(2\/31))**42)**(-3\/7) assuming f is positive.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 6 = -t. What is the smallest common multiple of 9 and ((-9)\/(-2))\/((-3)\/t)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = i**3 + 11*i**2 - 218*i + 650. Give q(7).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 7, k: 1, w: 2}. Give prob of sequence kwh.\nAnswer: 7\/360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1, 0, 0.4, -1476?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 26\/14 + 180\/(-210). Let z(p) = -5*p**2 - 6*p - 3. Let f(o) = -2*o**2 - 1. Let u(r) = c*z(r) - 3*f(r). Calculate u(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*t**2 - 4*t**2 + 6*t**2 + 14*t**2 - 62*t**2 - 56*t**2 + 3*t**2 - 2*t**2 + t**2 + (0 + 0 + 2*t)*(-4 + 4 + 2*t) + 3 - 3 - t**2.\nAnswer: -88*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 + -2 + -14 + -16 + 31 - 5\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 199261 at most as big as 15343170\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -30 (base 14) to base 8\nAnswer: -52","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - m - 86 = 0, -m = 5*d - 4*m - 88. Let q be ((-2056)\/(-136) - 0) + (-4)\/34. Which is smaller: d or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -95\/4 and -119\/4812?\nAnswer: 4812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -49198 (base 12) to base 10\nAnswer: -98756","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -7*u**2 + 21*u - 21. Let o(x) = -8*x - 13. Let m(k) = 7*k + 11. Let c(i) = 7*m(i) + 6*o(i). Calculate b(l) - 21*c(l).\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -12 - -14. Let q(h) be the second derivative of h**4\/12 + h**2\/2 + 2*h. Let o be q(i). What is the greatest common divisor of 5 and o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48662 to the power of 1\/2, to the nearest integer?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 11*k**2 - 9*k**2 + 5*k**2 + 9*k**2. Let m(z) = 2*z. Give o(m(v)).\nAnswer: 64*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 1.8. Suppose -5*s = -4*m + 9, -4*m - 3*s = s. Let l = 35 - 35.3. What is the closest to v in m, l, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 842750?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0, -133.3, 2\/13?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2342272 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -4004220040 (base 5) in base 10?\nAnswer: -7882520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 1425*k + 25343. Determine c(-18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -7*p + 25. Solve p*s + 0 + 10 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/24 and 23\/200.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -229067 by 229067.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (4 - 2) + -2 + (1 - 4)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 156.66 to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54 divided by 176.\nAnswer: -27\/88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -133*0.1\nAnswer: -13.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -35 + 27. Let x(g) = 2*g**2 + 15*g - 7. Let k be x(d). Find t, given that 1\/4*t**2 + t + k = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -1226\/3, -19, 0, 0.4, -144?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 15421, 0.2, -3.1, -7, 1\/9 in increasing order.\nAnswer: -7, -3.1, 1\/9, 0.2, 15421","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) be the first derivative of -o**4\/36 - o**3\/18 + o**2\/3 - 3*o - 3. Let p(r) be the first derivative of x(r). Factor p(q).\nAnswer: -(q - 1)*(q + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/(-2))\/(9\/24)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1001058330 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*o + o + 0*o + (o - 2 + 2)*(0 - 2 + 3) + 0*o + 0*o + o + 2 - 2 + o + 3*o - 2 - 2 - 2*o.\nAnswer: 5*o - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 135902 + 2?\nAnswer: 135904","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-one fifths of a millimeter?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = -5*n + 25, -5 = r - 25945*n + 25948*n for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-491 + 491 + 10*a**2 + (a - a - 2*a)*(-6*a + 3*a + 4*a))*(4230 - 184*a - 4230).\nAnswer: -1472*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 4\/(20\/35)*37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 p when two letters picked without replacement from {p: 3, n: 3}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30664 is divided by 1916?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3568509.\nAnswer: 3, 7, 79, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/8 - 7\/2. What is the nearest to 4 in 0.5, -9\/4, w?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*z - 55*z**2 - 1894*z**4 - 60 - 58*z**2 + 146*z**2 - 33*z**2 wrt z.\nAnswer: -22728*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8927142600 rounded to the nearest one million?\nAnswer: -8927000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -377*l - 269*l + 179*l to the form a*l + j and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.756 to one decimal place.\nAnswer: 3.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -273 + 271.97. Let l = v + -5.97. Which is the nearest to -2\/5? (a) l (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/25116 and -36\/455?\nAnswer: 125580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w + 3*y + 6, -2*w - 4 = y - 0. Let t = 66 - 200\/3. What is the third biggest value in t, w, 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -251 - -288 - ((4 - -6) + -35)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**3 - 8*w**2 + 30*w - 45. Give h(12).\nAnswer: 891","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -82 + 12*m**3 + 82.\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -4. Suppose 2*b = -2*s + 4, 3*b - 2 - 4 = -4*s. What is the remainder when 0 - (p - (5 - 3)) is divided by b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -42*u - 100504*u**2 + u**3 + 100504*u**2 + 42*u.\nAnswer: u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.6 - 0.6. Let j = -1.24 + 9.54. Let d = j - 8.8. What is the third smallest value in d, u, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 74 a factor of 4588?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -90a921a9?\nAnswer: 90a921a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(32) - ((3 + sqrt(32))**2 + sqrt(32) + -3))*-1 + -4.\nAnswer: 24*sqrt(2) + 34","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of -r**7\/840 - r**6\/30 - r**5\/10 - 5*r**4\/12 + 26*r**3\/3 - 8. Let d(p) be the third derivative of j(p). Calculate d(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 - (-110)\/207. Let u = -2\/23 + j. Which is smaller: u or 2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -7? (a) 0.2 (b) 2\/115 (c) 4 (d) -2 (e) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -94310 - 0.86?\nAnswer: -94310.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 81 + -16. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 3022, 126, 5, 0 in ascending order.\nAnswer: -8, 0, 5, 126, 3022","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8849.106 micrometers to nanometers.\nAnswer: 8849106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 0.040377.\nAnswer: 0.0201885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 + 112321201?\nAnswer: 112321133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express -12369*h**2 + h - 3*h + 2*h**3 + 221 + 12365*h**2 in the form o*h**2 + t + r*h**3 + l*h and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s - 1395 = -8*s - 3*y, -2*s + 4*y + 532 = 0. Suppose 282*h - 150 = s*h. Calculate the remainder when 148 is divided by h.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f + 0*f - f)*(-f + f + 2*f**3) + f**4 - 3*f**4 + f**4 - 435524 + 435524 + 970*f**4 + 2*f**3 + f**4 - 2*f**3.\nAnswer: 966*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (114\/132)\/19*12\/2\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:33 PM?\nAnswer: 7:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 4 - 5 - s - 60*s in the form k + z*s and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 771366?\nAnswer: 2, 3, 59, 2179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**3 - g**2 - 1. Let f(h) = -6*h**3 + h**2 + 4*h + 3. Determine -f(z) - 3*i(z).\nAnswer: 3*z**3 + 2*z**2 - 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5 and 195?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 3:02 AM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 15 - 11. Suppose -4*n - 19 = 3*l - 243, -s*n - 176 = -2*l. Is 16 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -384*d - 2. Let k = -23 - -21. Let t be s(k). Suppose t + 64 = 2*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -6 - 8. Suppose -2*z = 3*p - a*z - 183, -4*z + 212 = 4*p. Calculate the highest common factor of 28 and p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 1\/4 (c) 1 (d) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 5 (b) 630 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 28477 - 9?\nAnswer: 2846e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 4. Let w = s - -2. Put -2, w, 3 in increasing order.\nAnswer: -2, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 1 - 2 + 1 + p**2 - 2*p + 7*p**3. Let b(s) = -6*s**3 - s**2 + 2*s. Determine 5*b(k) + 4*l(k).\nAnswer: -2*k**3 - k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 4*s + 6. Let r = -18 + 22. Let z be u(r). Solve 2*j = -4 - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -13*m**3 + m**2 - 1. What is n(1)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2968 + 3608. Calculate the remainder when p is divided by 28.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*b - 5994 - 2252. Suppose 2*s + 4 = 3*s. Suppose 3*j + 1887 = i - b, 5*i - 12361 = -s*j. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -22*m + 4. Solve m = 5*l + 3*g - 24, -5*g = -25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 - 1\/((-6)\/27). Let c = v - 53\/6. Let s(q) = -2*q**2 - 7*q - 1. Let m be s(-3). What is the closest to c in 1.4, m, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = g**3 - 9*g**2 + 5*g - 9. Give t(6).\nAnswer: -87","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 2. Suppose -n = -4*g - 2*n + 13, 0 = -2*g - y*n + 14. Let k be 4 - (0\/(-1))\/g. Solve 2*d = -2, 2*h = 2*d + 2 + k for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -194*z. Let l(k) = -k. Calculate l(f(y)).\nAnswer: 194*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yysys. Give prob of picking 2 s.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -700181.4766 rounded to the nearest ten?\nAnswer: -700180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 55 = -k + 190, -3*k = -3*t + 180. Is t a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7366 = 2*j + 2*u, 9416 = -3*j - u - 1643. Let s = j - -6428. Round s to the nearest one hundred.\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 32 + -2. Suppose 70 = 5*v - l. Suppose -g + v = g. Solve -m - y + 1 + 0 = 0, g = -2*m - 5*y for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*g**2 + 0*g**2 - 2*g - g + 2*g**2 as a + l*g + b*g**2 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*z + 13 - 23, 4*x + 5*z - 843 = 0. Let i = x + 304. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -41. Let s(u) = -u**3 - 7*u**2 + 7*u + 13. Let z be 3 + 2 + -9 - 4. What is the remainder when o is divided by s(z)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -62\/17 greater than -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*p + 2*b + 34, -3*b + 56 = 4*p + 7 for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b**3\/19 + 22*b**2\/19 + 14*b\/19 + 2\/19 = 0.\nAnswer: -1, -1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the second derivative of 3*b**4\/4 - b**3\/6 - b. Let n(h) = -h**3 - 7*h**2 + 10*h + 17. Let d be n(-8). What are the prime factors of t(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7372 (base 11) to base 12\nAnswer: 5793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 25397?\nAnswer: -25399","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -31514 and 0.04705.\nAnswer: -31513.95295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*x - 1 = 55. Let b(h) = 3*h**2 - 1 - h**3 - 9*h - h**2 - 3. Let q be b(x). Round q to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -2*k**3 + 2*k + 3. Let i be g(-2). Suppose -b = 4*l - 0*l + i, 5*b - 3*l + 6 = 0. Let z be 1\/b*(-13 + -8). Solve -5*s - z - 3 = 0 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*t + t = 1, j + 2*t + 6 = 0. Solve j = -14*k + 12*k for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26169 divided by 143.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-86)\/5*10\/(-6). Let a = 111775\/6 + -18578. Let h = w - a. What is the common denominator of h and 18\/7?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2967062 and 3122.\nAnswer: 661654826","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -101100 - -1001?\nAnswer: -100022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 502.275 - -0.725. Let c = h + -803. Let j = c - -300.000382. Round j to 5 decimal places.\nAnswer: 0.00038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 23 = 3*r + 3*l, 0 = 4*r + 5*l - 38. Let p(g) = -g**3 + 8*g**2 - 4*g. Let j be p(r). What is the highest common divisor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 10, a: 8, d: 1}.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 1*-3*(1 + 5 + sqrt(1872) + sqrt(1872) + 0 + sqrt(1872) + -1)**2.\nAnswer: -50616 - 1080*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5242681 and 2006.\nAnswer: 1003","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5977\/10895 - -112\/2179. Let -9\/5*b + v*b**2 + 0 = 0. What is b?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 70 + -63. What is the derivative of -11*m**2 + d - 4 + 3 - 3 wrt m?\nAnswer: -22*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 - 1121*w + 2. Let j(g) = -5*g**2 - 560*g + 1. Determine 5*j(a) - 3*z(a).\nAnswer: 2*a**2 + 563*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 + 9 + -7 + (-4 - -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 26177361 and 154287?\nAnswer: 78532083","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 487?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -10 + 10. Suppose -2*i + 70 = -a*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((19\/(-334))\/(-19))\/(3*(-35)\/420).\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen quarters of a gram in milligrams?\nAnswer: 4250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20 and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4753305003?\nAnswer: 3, 47, 33711383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 2*l**2. Let i(j) be the second derivative of 0 + 0*j**2 + 7*j - 41\/6*j**3. Give i(a(t)).\nAnswer: -82*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/24*10\/75.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3 - -2) + 0 - 0. Let i be (4\/6)\/((-352)\/2508). Let q = 53\/12 + i. What is the second smallest value in 2\/15, q, x?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 7 + -48?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 416987242.\nAnswer: 2, 7, 73, 408011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04 times 91?\nAnswer: 3.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3143934 is divided by 2389.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**3 - 3*z**2 + 4*z + 4. Let g be y(-4). Suppose g*j = j + 228. Suppose 2*h - 73 = -5*i, 0 = -0*i - 5*i + h + j. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g*(g**(-2\/21)*g)\/g*g)\/g**(2\/7))**43 assuming g is positive.\nAnswer: g**(1462\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 230222 and 430.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 81\/2? (a) -4 (b) -16 (c) -0.2 (d) 1\/6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 3, w: 7, l: 4, g: 4}?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + 0 = -9. Let v be 5 + g + (2 - 2). Which is bigger: v or 6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in m - 2*m**2 + 0*m**2 + m**2.\nAnswer: -m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u**2 - 212*u - 912 = 0. What is u?\nAnswer: -4, 57","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 105 a factor of 22155?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(153) - sqrt(153))*-6 - (0 + sqrt(153) + -4).\nAnswer: -3*sqrt(17) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-35 - (-58 - -32)) + 7 + -22?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*m**3 + 5*m**3 + m**3)*(-m - m + 5*m) - m**4 - m**2 - 4*m + 4*m + m to s*m**3 + w*m**4 + u + c*m + o*m**2 and give o.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 25619291?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6693840 = -0*b + 8*b. Suppose 9*n + b + 118170 = 0. What is n rounded to the nearest 1000?\nAnswer: -106000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/(-1))\/(464\/(-468) + 1). Suppose 2*j + u - 121 = 0. Let o(m) = -m**3 - 2*m**2 + m + 2. Let g be o(-3). Solve 2*y + j = -g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*z**2 + 124 - 2*z**2 - 236 + 119.\nAnswer: -4*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1912 and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (18\/(-10) + 1)*((-303800)\/5520 + 55).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 139102 - 5071*u - 1396*u - 139102. Let i(p) = 2*p**2. Give i(q(m)).\nAnswer: 83644178*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -4 * 969\nAnswer: -3876","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -3185, -206, 2763, 5716, 8647, 11550?\n\"Answer: -a**3 + a**2 + 2983*a - 6168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t - 1727 - 2221 = 0. Let v = 568 + t. Solve -3*y + 35 = v*i, i + y = 3*y - 5 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-10)*10990\/3297\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409 is divided by 83.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = t + 3*b - 56889720 - 68610268, -627500028 = -5*t + 7*b. What is t rounded to the nearest 1000000?\nAnswer: 126000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:27 AM and 5:27 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in -26, -2\/5, -3, 0?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24910 is divided by 1910.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.9 from 15420672054.\nAnswer: 15420672052.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.079724 rounded to one decimal place?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 3*r**3 - 7*r**2 + 6*r - 9. Let a(c) = 2*c**3 - 5*c**2 + 4*c - 6. Let l = 6924 + -6917. Give l*a(h) - 5*g(h).\nAnswer: -h**3 - 2*h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 32 - 2155404?\nAnswer: -2155332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -48684 (base 13) to base 3\nAnswer: -20202100210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + 11 + 297 + -307?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2 and 22756944?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 - 31*c**2 - 27*c + 93. What is l(-30)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 528 minutes after 1:09 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 1810803\/7 = 258686?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1219480 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-8) + (-155)\/(-460). Let n be (-10)\/45 + 0\/2. What is the closest to 1\/3 in 3, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 69110.\nAnswer: 2, 5, 6911","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**2 - 8*k - 5. Let t be x(-7). Suppose 4*g = 3*w + 3, 0*w - 2*w = -4*g + 6. Find the first derivative of -3 + i**2 - w*i**t - 3 wrt i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 290648 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of p**7\/490 - p**6\/280 - p**5\/140 + p**4\/56 + p**2 + 7. Let m(i) be the second derivative of k(i). Factor m(a).\nAnswer: 3*a*(a - 1)**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 - 353*o - 355*o - 1 + 3 to g + w*o and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from krbkrbvrbvrvrrrbb. What is prob of picking 1 b and 1 k?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5 = 85. Let x be 4*(-3 + 6\/(-4)). Let u be 2\/(x\/(-3))*0. Solve 4*h - 7*n + k = -3*n, 3*h - 2*n + 7 = u for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e1 (base 16) in base 3?\nAnswer: 22100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = d**2 + 134*d + 1532. Determine n(-118).\nAnswer: -356","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 3 i when four letters picked without replacement from {i: 3, v: 3}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 188660063 divided by 293.\nAnswer: 643891","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4271970.\nAnswer: 2, 3, 5, 157, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 148084*d - 59828*d - 88251*d.\nAnswer: 5*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j + 13. Let h(s) = -6*s + 91. Let q(k) = 21*g(k) - 3*h(k). Let x be -1 + (-6)\/(0 - 2). Give q(x).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 276258*o + 251441*o - 171409*o.\nAnswer: 356290*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbcmcmb. Give prob of sequence bcmb.\nAnswer: 5\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - 0) + -3 + (29 - 31).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000 (base 2) in base 3?\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-54)\/(-189))\/((-48)\/(-196)) + 41\/((-3280)\/96)?\nAnswer: -1\/30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -241*g - 288 - 5200 - 55 = 0 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -188263309, 3 in decreasing order.\nAnswer: 3, 0.1, -188263309","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 209\/28350 and -113\/2536065.\nAnswer: 228245850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -210*-1.\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**3 - 17*v**2 - 21*v + 43. Suppose 4*u - 5*r + 2 = 3*u, -2*u - 5*r + 56 = 0. Determine l(u).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*q + 4*q + 0*q)*(-8*q + 46*q + 7*q + (-12 + 0 + 2)*(-4*q - 2*q + 4*q)) to the form d + n*q + x*q**2 and give x.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 85*c**3 + 62*c**3 + 20798*c**2 - 20798*c**2.\nAnswer: 147*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 1094 + 9496 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of -479*o**5\/30 + 455*o**4\/8 + o**2 - 1191. Find the second derivative of w(g) wrt g.\nAnswer: -1916","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 360*b - 423*b + 189 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 77248 + -44164. Is 12 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 396 is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Suppose z - 1 = c. What is the first derivative of -3*i**z - 6*i + 4*i + 2*i - 3 wrt i?\nAnswer: -12*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1c (base 16) to base 6.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, -1\/3, 1\/74, -0.4?\nAnswer: 1\/74","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3\/217 or -1?\nAnswer: -3\/217","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -140*c**2 + 4*c + 49. Let f(w) = 419*w**2 - 14*w - 172. Let t(r) = 2*f(r) + 7*y(r). Let q(d) = -22*d. Give q(t(v)).\nAnswer: 3124*v**2 + 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-112)*44\/(-6)*2694\/14817.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0\/(7\/1))\/((-4)\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2177344249 and 1097.\nAnswer: 1097","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23439*n**4 - 2*n**2 - 570*n wrt n.\nAnswer: 562536*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000317508062 rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -4.8. Let k = -2.2 - 0.6. Let q = p + k. Which is the second smallest value? (a) q (b) -1\/6 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 6 (c) 59 (d) 5 (e) 3\/8 (f) 1.3 (g) 0.22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34 = -3*p - 22 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + 2)*1\/3. Find o such that -k + 0 - o**2 + 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*(-20)\/(-315))\/(38\/6 - 6).\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 <= 1168\/49?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 8 = 4*z, 3*z = -3*f - 0*z + 18. Let b be -1*2\/(0 + f). Let y be (-2 - -10)*(b + 2). What is the highest common factor of y and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0*(3 + 1 + -3). Suppose b = -4*j - 0*j + 720. What is the common denominator of 1886\/j + 6\/27 and -42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -1\/6*j**3 + 2*j + 4*j**2 + 0. What is p(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-2\/13))**(17\/3)*c*c*(c\/((c*c\/(c*c\/c**(2\/17)))\/c))\/c*c**(-19) assuming c is positive.\nAnswer: c**(-11264\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -2572 equal to -2572?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 601.438ml in litres?\nAnswer: 0.601438","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -3076+-3\nAnswer: -3079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*v + 14730 = 34*v. What are the prime factors of v?\nAnswer: 5, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -11*(-18)\/(-198)*(-1 + -359). What is the highest common divisor of 144 and a?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -94 - -106. Suppose -u - 3*u = 4*p + 4, 3*p - u = 1. Let m be -1*(-1 + 2) + 2. Which is the third smallest value? (a) p (b) h (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 54.938 and -19398.\nAnswer: -19343.062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -7*s - 10. Give l(-2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -147, -251, -345, -429, -503?\nAnswer: -567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 5*o**2 + 43*o - 6549. What is the thousands digit of z(-101)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, t: 6, j: 1, x: 4}. What is prob of sequence jk?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 7469 and 0.\nAnswer: 7469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 191886?\nAnswer: 2, 3, 31981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*u**3 + 2*u**3 + 8*u**3 + (-u + 3*u + 0*u)*(3*u**2 - 3*u**2 + u**2) + (-2*u**2 - 4 + 4)*(0 + 2*u + 0) + 3 - 2*u**3 - 3 - 4 - u**3 + 4.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*t + 3*t + 3*t**2 + 44*t**2.\nAnswer: 47*t**2 - 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 20166450 (base 8) in base 5?\nAnswer: 2042130031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*i**5 - 8184*i**4 + 138267*i**3 + 471768*i**2 - 1236741*i - 3617658 = 0. What is i?\nAnswer: -11\/4, 3, 22, 151","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/((-580)\/(-295) - 2). Let a = v + -87. Is 9 a factor of a\/4*(-5 - 217\/(-35))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 22*f - 97. Let h be 1*(0 + 3) - (0 + 18). Let m be a(h). Suppose 0 = 4*l - 4 - 0. Calculate the highest common divisor of l and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10462?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + -2*sqrt(320) + -3) + -2*((sqrt(605) + -6*(1 + sqrt(605)))*-1)**2.\nAnswer: -30330 - 1352*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 2, a: 9, p: 2, h: 2, l: 2}. Give prob of picking 1 p, 1 a, and 2 g.\nAnswer: 9\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 42 = 3*n, 3 = 2*w + 4*n + 7. Which is bigger: -21 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 76.8 + -77. Let f = 2 - 2.02. Let z = f + 2.02. Put o, z, -0.1 in increasing order.\nAnswer: o, -0.1, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a litre in millilitres?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 442?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 14\/(1\/(3\/(-6))). Let f be (-6)\/21 - 30\/n. Put 1\/4, f, -0.1 in decreasing order.\nAnswer: f, 1\/4, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 143.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -c4 (base 15) to base 5\nAnswer: -1214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5148?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*i - 16 = 38*i. Find the first derivative of 15 + 28 - 3 - i*h**3 - 14*h**3 wrt h.\nAnswer: -66*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 78265 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 366 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxxvvzvhhyyvvxhvbz. Give prob of sequence bvzy.\nAnswer: 7\/18360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 20 = -4*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -24897, -49801, -74709, -99621?\nAnswer: -124537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from {q: 3, h: 1, y: 1}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in sixty-one halves of a centimeter?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in 1\/4, 8.1, -2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 222590 rounded to the nearest ten thousand?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 14) in base 7?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.35236 weeks in microseconds?\nAnswer: 38920307328000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 239327699*b*x + 149449162*b wrt x?\nAnswer: 239327699*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12 at least as big as -82\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -603622 (base 7) to base 3.\nAnswer: -12012011111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 111800420?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 58 and 13166.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence av when two letters picked without replacement from {n: 1, a: 6, v: 10}.\nAnswer: 15\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 3, v: 3, j: 3, u: 5}. Give prob of sequence jv.\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Factor -2 - 6*b - 9*b**2 - 5*b**2 + 4*b**3 + 6*b**4 + 2*b**5 + 12*b**2 - 2*b**2.\nAnswer: 2*(b - 1)*(b + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.459607 millilitres to litres.\nAnswer: 0.008459607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -130.23 rounded to the nearest integer?\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 272 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 24, 0, -4, -13.\nAnswer: -13, -4, 0, 3, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, p: 10}. Give prob of sequence pu.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3705 a factor of 187598970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 166 a factor of 3585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -4*-7.14598\nAnswer: 28.58392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.09269 - -389.92269. Round g to the nearest 10.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 14810*15\/18*3\/5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*g + 22359 = 10*g + 31009 for g.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 3*l**5 - 2*l**5 + (l - 2*l + 2*l)*(-l + l**2 + l)*(28 - 17*l**2 - 28).\nAnswer: -16*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 3)*((-2*h + 0 + 0)*(4 - 4 + 1) - 1 + 1 + h - 2 - 2*h + 2).\nAnswer: 6*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2. Let o(c) be the first derivative of 2 + 0*c + 0*c**3 - 1\/12*c**4 + c**2. Let m(f) be the second derivative of o(f). Give m(v(r)).\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 5*u - 2*j - 36, -4*u = 2*j - 56. Suppose 5*b = u + 10. Suppose 5*x - 4 = x, -b*v + 303 = 3*x. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6291 divided by 1?\nAnswer: -6291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(-1\/11)*s**20*(((s\/s**(-15))\/s)\/s)\/(s**(-19)*s*s) assuming s is positive.\nAnswer: s**(560\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (36\/(-72))\/(10\/(-4))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 5*c, 5*z + 8*c - 70 = 3*c. Suppose 20 = 4*t - 4*y, 3*t + 9 = -z*y + 5*y. What is the units digit of t + -2 - -1*15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1 - 0.8. What is the closest to 2\/5 in -5, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-39))\/((-85860)\/(-223236))\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 27.9999945 - 28. Round r to 6 dps.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**3 + 3*n**2 - n - 3. Let q be s(-3). Suppose q*x - x = -8. Let c(v) = v + 21. Calculate the least common multiple of c(-11) and x.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away -45516?\nAnswer: 45514","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -201 - -205. Let s(f) = 2*f**2 + 2*f + 4. Let v be s(-3). What is the second derivative of v*m**4 - 2*m - b*m + 3*m - 15*m**4 wrt m?\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, t: 3, u: 4, y: 1}. What is prob of picking 1 u and 2 t?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10*23*(9 - 8). Let l = -110 - q. What is l rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -307 (base 8) in base 9?\nAnswer: -241","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide (3984\/(-28))\/(19\/(-133))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of -f**3\/2 - 149*f - 9. Let y(o) = -713*o. Determine c(y(h)).\nAnswer: 2139*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the second derivative of 2*y**7\/7 + 76*y**6\/15 + 30*y**5 + 80*y**4 + 334*y**3\/3 + 84*y**2 + 129*y - 2. What is i in l(i) = 0?\nAnswer: -7, -3, -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10431?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 42, 145, 432, 999, 1942, 3357?\nAnswer: 5340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/(t\/((((t\/(t\/(t\/((t*t\/(t\/t**(-8)))\/t)*t)))\/t)\/t)\/t*t))*t\/(t*t**4\/t)*t)\/(t**(3\/5)\/t**(1\/8)))**27 assuming t is positive.\nAnswer: t**(5967\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = 4*k + 6*g - 184, 7*g + 191 + 253 = -k + 772 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -138 - -141. Which is the smallest value? (a) j (b) -3 (c) 21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:10 AM and 3:22 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 268695?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 15*g**3 + 21*g**2 + 21*g - 21. Let r(j) = 7*j**2 + 7*j - 4. Let i(p) = -p**3 - 6*p**2 - 6*p + 4. Let m(v) = 3*i(v) + 2*r(v). Give 21*m(t) + 4*n(t).\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -331*0.46.\nAnswer: -152.26","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4419 is divided by 886?\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 6134 + 548 = 295*r for r.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 161 + -135. Suppose -2*u - 144 - 74 = 0. Let t = d - u. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 7.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 102266480 to the nearest 100000.\nAnswer: 102300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 bigger than 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 - (-30 + -10 + 5 + (6 - 8))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 0*i - 2 = 4*i, -3 = 3*c - 3*i for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 229 is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = p**3 - 28*p**2 + 16. What is w(28)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5373 + 7?\nAnswer: -5364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/((-23 + (-10857)\/(-470))\/(2\/5)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*j**2 + 735*j + 2160.\nAnswer: 5*(j + 3)*(j + 144)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 176 a factor of 8345?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.77 + -0.37. Which is the closest to 0.1? (a) g (b) 12 (c) 4 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -409 divided by 3.\nAnswer: -409\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 9*m + 5. Let i be o(3). Put 4\/7, -0.3, i in increasing order.\nAnswer: -0.3, 4\/7, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 911966609 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(171) - -6*-1*sqrt(171)) + 6*-1*sqrt(171))**2 + -5.\nAnswer: 20686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -73*p**3 + p**2 + 2*p + 1. Is 20 a factor of f(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81, 1\/13, 5, -8\/7, 4, 0 in decreasing order.\nAnswer: 5, 4, 1\/13, 0, -8\/7, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000222324 rounded to six dps?\nAnswer: -0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-38)\/38*1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -176*p**2 + 9 + 4*p**4 + 169*p**2 - 2*p - 10 in the form h + n*p + o*p**2 + r*p**3 + i*p**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 17 + 31. Suppose 0*f - h = -f. What is the highest common factor of 12 and f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 3 y when four letters picked without replacement from {k: 8, y: 3}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.46 + 0.7. Let f = h - 0.04. Let l = 1 - 0. Which is smaller: f or l?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33\/133 + 1\/7. Which is the fourth smallest value? (a) 0.06 (b) 2 (c) g (d) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 19449 - 11739 = 0. Calculate the remainder when k is divided by 39.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -146*w**3 + 4*w - 443*w**3 - 84*w**3 + 19*w**2 + 7*w - 26*w wrt w.\nAnswer: -4038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1700639459 and 51116?\nAnswer: 1700690575","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 21\/(-54)*(-32)\/56. Let j = -22423\/11 - -2039. Are j and i equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 7*w + 6. Suppose w*b + 3*x + 9 = -0*b, -b + 4*x = -23. Solve -k - 4*h = 15, -b*k + k = 2*h for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 518549\nAnswer: 2074196","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -136*o + 137*o + i + 3, 2*o = 5*i - 20 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 8) to base 7\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-21 + 0 - 7)*(2*s**2 - 2*s**2 + s**2) to c*s**2 + l + r*s and give c.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of -96*t**2 - 3*t - 13 - 2\/21*t**7 - 16\/3*t**4 + 14\/15*t**6 - 12\/5*t**5 + 128\/3*t**3. Factor q(p).\nAnswer: -4*(p - 3)*(p - 2)**3*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 + 6*t**2 - 3*t + 12. Let n be d(-7). Let k be (n\/5)\/(6\/150). Does 40 divide (k\/(-6))\/(-2 + 7\/3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8219 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -35 + 74. List the prime factors of u.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 60 and 1665.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j**3 + 7*j**2 + 5*j + 4. Let f(d) = -d**3 + 6*d**2 + 4*d + 3. Let n = -14744 + 14739. Give n*f(x) + 4*k(x).\nAnswer: x**3 - 2*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -a**2 - 4*a**2 - a**2 + 3*a**2 in the form o*a**2 + f*a + m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let r be (-27 - -27) + 2*1. Let x(p) = -3*p**3 + 3*p. Determine r*x(g) + 6*c(g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-2\/5)\/m)**(2\/13)*m*m\/m**(-6\/13)*m**9 assuming m is positive.\nAnswer: m**(731\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*i + 670 = -3*i. Differentiate -6697 + 6527 - i*j**4 + 283*j**4 wrt j.\nAnswer: 864*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/10*(-40)\/48.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -51653 by 1099.\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:28 AM and 8:12 AM?\nAnswer: 104","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by -92?\nAnswer: 11\/92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -3*t - 8. Let g be p(-4). Solve -g*d + 22 = -5*f, -2*d - 4*f = -1 + 3 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -952*w + 30732. Calculate y(35).\nAnswer: -2588","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186*n - 1702 = 182*n + 140654. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30644\/3 + -10671. Let g = h + 459. Which is the nearest to -1\/4? (a) -7 (b) -1\/5 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that n**2\/6 + 25*n\/6 - 58\/3 = 0.\nAnswer: -29, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -13 + 0*l + 4 - 2*l. Let q be n(-7). Let k(w) = w**3 + 5. Let t be k(0). Solve -q*p = -5*o - 10, -p = -t*o + p - 16 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118.6221 rounded to the nearest ten?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 8 = -4*u, -4*u - 4 = -0. Suppose 0 = -6*n + x*n + 63. What is the highest common factor of n and 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4654137 is divided by 17.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3db1b1 + 8?\nAnswer: -3db1a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -10 + 19 + 2*y + 8*y with respect to y.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 47518 divided by -23759.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 237 + -235. Which is the closest to -8? (a) -44 (b) d (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -960*t - 311986. Calculate k(-325).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 3*g = 0, -g = -3*g for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/4))**(-15) assuming l is positive.\nAnswer: l**(15\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1)\/3 + (-60)\/(-18). Let b(l) = -l**3 + 3*l**2 + 4*l - 2. Let o be b(n). Solve -2*m = -4*m - o for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -7*o**3 - 11*o**2 + 15*o - 9. Let n(j) = -3*j**3 - 2*j**2 - 4 + 11*j - 3*j**2 - 4*j. Give -4*m(w) + 9*n(w).\nAnswer: w**3 - w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/15)\/(1\/40*(-776852)\/1073)?\nAnswer: -2\/181","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 442 is divided by 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0630541227 - -67735.\nAnswer: 67734.9369458773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(5 - 12 + 2)*(-2*f + 3*f + 0*f).\nAnswer: 10*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 279324 and 54.\nAnswer: 837972","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.6 - -18.6. Which is the nearest to g? (a) 1\/5 (b) 1 (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 6*l = 20. Solve -3*f - 18 = x, -l*x + 13 = 3*f + 43 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 0.2 (b) 0.3 (c) -4 (d) 3.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of 0 + 43\/24*z**4 + 0*z - 42*z**2 - 4*z**3. Differentiate q(o) wrt o.\nAnswer: 43","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -138 - -70. Let s = -67 - u. What is the units digit of (-2)\/(10\/(-785))*s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**2 - 11*m + 3. Let r be k(-11). Suppose -2*j + 22 = -4*l, j - 26 = 4*l + r*j. Let w be (-6)\/(-4) - 9\/l. Solve w*t + 0 = -3 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 + -5. Let k be v - -6 - 2*1. Let p be (1 + 0)\/(2\/k). Solve 4*r - p = -2*h - 7, -r = -4*h + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 1770308?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vfdym. What is prob of picking 1 d, 1 f, and 1 v?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 PM and 10:25 PM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5570 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 5*b)*(0 - 1 - 2)*(-90*b - 102*b + 19*b).\nAnswer: -2595*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 0. Let o = 12 - -33. Suppose u + 4 = 0, -o = -3*y - u - 7. What is the remainder when y is divided by w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13132012323 (base 4) to base 10.\nAnswer: 1958331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 1511*o + 69514. Give b(-46).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, o: 1, u: 2, e: 4}. Give prob of picking 1 o, 1 b, and 2 u.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 4*o - 4156 = -3*o, 5*o = -5*j + 6920. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 3551 = v + 869, 0 = -4*b - 5*v + 5346. What are the prime factors of b?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1881 and 264.\nAnswer: 15048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 100? (a) -6 (b) -0.115 (c) -31\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1645671870?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -116 - -355. Suppose -o + 261 = -f. Suppose c + 3*g = 859, -g = -2*c + o + 1246. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -17*i + 110. Suppose -y = 5*b - 2, -9*b = 5*y - 13*b - 39. Determine h(y).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/(1*(2 + -5) - -4). Solve -2*k = x*w - 21, 7*w - 25 = 2*w for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1212121222 (base 3) in base 5?\nAnswer: -2140113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the second derivative of h**4\/12 - h**2\/2 + 218*h - 2. Let b = 2 + -1. Determine o(b).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6798 = 5*n - 2*g, 3*n - 3*g - 4066 = -5*g. List the prime factors of n.\nAnswer: 2, 7, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 684\/(-342)*31\/2\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w - 5*g = -31, -w + 2*w - 181*g + 902 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-8) + -7*(-30)\/56.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*h + 6*h - h - h**2)*(-27 - 23 + 30).\nAnswer: 20*h**2 - 40*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.589 to 1 decimal place.\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (39\/(351\/3906))\/(4\/2). Calculate the greatest common factor of 49 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.02968 + -0.03288. Let j = r - 43. What is j rounded to three dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43896521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1 + 3. Suppose -3*h = 3*u - 21, 3*h + x*u - 29 = -3*u. Solve -2*n = -h*n + 5 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 5*l + 402 + 85294 = 0, 3*l - 107157 = 5*o. Let p = -1349981\/63 - o. Find the common denominator of 73\/2 and p.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36574 is divided by 71?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-5)*35\/15*95\/399?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 44932 and 564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 144306084 divided by -3?\nAnswer: -48102028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 + -5. Let z be (o + -1)*(8 + 19). Let b = z + -16. Is 5 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -391 - -375. Let y(x) = -x**2 - 16*x - 1. Calculate y(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.077 - 4189?\nAnswer: -4189.077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 15 = -x. Let j = 90 - -152. Let f = -238 + j. What is the second biggest value in x, -1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1533 (base 6) in base 11?\nAnswer: -34a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7068 is divided by 7032.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/257460 and -141\/70?\nAnswer: 257460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 22 (b) -0.24 (c) -409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -130 - 10312?\nAnswer: -10442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1186*d**2 - 54*d**5 + 1186*d**2 + (2 + d**5 - 2)*(-1 - 1 + 5).\nAnswer: -51*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*g = 24*g - 270. Is 5 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -218*s + 220*s + 3*q - 27, 63 = 2*s - 16*q + 57*q - 382 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 1:10 AM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -66.1508109 rounded to the nearest ten?\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + 4 + (sqrt(1300)*1 + -4)*-4 + -5)**2.\nAnswer: -800*sqrt(13) + 20900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 6510, 13053, 19596, 26139?\n\"Answer: 6543*m - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 3*n + 4*u, n + u - 3*u - 36 = 0. What is the remainder when n is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -11*c**3 + 13*c**2 - 9*c - 13. Let w(r) = 32*r**2 + 6*r**2 - 18*r**2 - 13*r - 16*r**3 - 20. Let o(q) = 7*j(q) - 5*w(q). Is o(7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 16 = 2*g, -3*d - 14 = -2. Let s be (26\/(-7) + 4)\/(g\/14). Solve -1\/3*i**4 + 4\/3*i**3 - 2*i**s + 4\/3*i - 1\/3 = 0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in -2, 5, 1\/172?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9\/(-6) + 7\/2. Suppose 0*d + 10 = -d - 4*r, -4*r = -4*d + 20. What is the third derivative of -9*c**2 - 19*c**6 + 5*c**2 - 9*c**d - 3*c**t wrt c?\nAnswer: -2280*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1*3*(-22)\/(-33). Suppose 4*k = w*k - 10. Put 4, -6, k in ascending order.\nAnswer: -6, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:44 AM?\nAnswer: 3:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 599 + -1154. Let q = a + 555.00878. Round q to three decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1110, -704, 2758, 10806, 24970, 46780, 77766?\nAnswer: 119458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -172*v + 4611. Calculate y(26).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (7 + 0 + 12)*(0*k + 0*k - k) as r*k + b and give r.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 10 - 7. Suppose 2*h - 15 - 7 = -l*f, h - 4*f - 33 = 0. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 17*l = 41 + 23. Let g be ((-4)\/(-10))\/(1\/15). Solve -4*h = -2*v - 6, 4*v + g = 2*v - l*h for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ec when two letters picked without replacement from {c: 1, e: 14, o: 1}.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56410*v**2 - 56566*v**2 + 12*v + 113116*v**2.\nAnswer: 140*v**2 + 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5\/3*(-36)\/(-30). What is the third derivative of -3 - 2 + 29*l**3 - 2*l**q - 2 + 8 wrt l?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**17*k)\/(k**(-1\/36)*k))\/(k**(-27)*k*(k\/(k*k**(-4\/3)\/k*k*k))\/k))**(1\/47) assuming k is positive.\nAnswer: k**(1573\/1692)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -991*w = -285*w - 290*w - 306*w + 6050 for w.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 - 7*z**2 - 8*z. Let h = -46 - -54. Let p be o(h). Let c(x) = x**2 + x - 2. Let b be c(-2). Solve b*q - 3*q + 9 = p for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 324*s - 2257. Calculate i(-7).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(363) + -2 - (3 + -1*sqrt(363))) + 5 + -1 + -6*(sqrt(363) + 0))**2.\nAnswer: 5808","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 570 is divided by 14?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 279433 to the nearest integer?\nAnswer: 529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 121930864 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.48 * -0.2.\nAnswer: 0.096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1573.5553 rounded to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/5 in 4, 0.1, 1\/5, 2, 880?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 916\/493 = 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1573\/221 - (-2)\/(-17). Solve -2*j - 5*m + 3 + u = 0, 4*j - 20 = m for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 18*f - 8*f**2 + 0*f**2 + 16 + 2*f**3 - 2*f**3. Let b be i(10). Calculate the highest common divisor of b and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 + 4 + 125\/(-5). Let y = d + 57. Suppose 2*x = -2*u + 36, -2*x + 0 + y = u. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: 29 divided by 178\nAnswer: 29\/178","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - (-5 - (8 + -16)).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1360440829 + -8?\nAnswer: 1360440821","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -5*r + 17, -r = r - 2. Suppose y - j*d - 34 = 0, 2*y + 3*y + 5*d = 210. 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: Let r = -34 + 10. Let o be r\/(-9)*(-54)\/8. Let v = o + 29. What is the remainder when 20 is divided by v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.0591 - 0.0591. Sort h, 7, -2\/13, 0.2 in increasing order.\nAnswer: -2\/13, h, 0.2, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 1092248\/11 and 99296 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1222 and 39927017.\nAnswer: 611","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the third derivative of 1\/12*z**4 - 55*z**2 + 0 + 0*z - 1\/120*z**5 + 1\/3*z**3 - 1\/240*z**6. Let u(y) = 0. What is y?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (188\/235)\/((-4)\/100)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 324 minutes after 2:47 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 3*a**2 + 2. Let b be t(-3). Suppose 9 = -2*q + 3. Put b, q, 3 in ascending order.\nAnswer: q, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3103 is divided by 97.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and 3\/201361 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1, 12, 47, 116, 231, 404?\n\"Answer: 2*h**3 - h**2 + 2*h - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 883 (base 16) in base 6?\nAnswer: 14031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.01006462 rounded to four dps?\nAnswer: -0.0101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, -350, -1\/5, 338, -2\/3.\nAnswer: -350, -2\/3, -2\/5, -1\/5, 338","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 503\/1239 - -4\/177. Let m = -0.1 + -0.1. Which is the closest to -0.2? (a) q (b) m (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 2*j**3 + 2*j + 7. Let c be 22\/8 - 17\/(-68). Let s(o) = -249*o + 251*o + 12 - 4 + 2*o**c. Determine 6*q(m) - 5*s(m).\nAnswer: 2*m**3 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the third derivative of a**4\/8 + 267*a**2. Let t(x) be the second derivative of 7*x**4\/12 + 31*x. Determine t(b(r)).\nAnswer: 63*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -s**2 + 19*s - 30. Let w be z(16). Solve w = -2*a - 5*m, -6 = 5*a - 4*m - 27 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -31\/40 and -23\/114164.\nAnswer: 1141640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/2 - -6 - 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {g: 3}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 4*j**3 + 7*j**2 - 20*j + 81. Let v(u) = -u**3 - 2*u**2 + 6*u - 28. Give -2*i(b) - 7*v(b).\nAnswer: -b**3 - 2*b + 34","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1845642?\nAnswer: 2, 3, 139, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1226700 + (-10 - 2) + 2 - -10. What is j rounded to the nearest 100000?\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 296 - 24273\/82. Let q = f + -241\/410. Suppose -5*p = o + 50, 2*p + 13 = 54*o - 53*o. Which is the third biggest value? (a) -2\/5 (b) o (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000301967 rounded to six dps?\nAnswer: 0.000302","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - (-57 + -28 + 69 + 3 + -1).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25\/126 - 7\/18. Find the common denominator of 290\/(-5) + 1 + 2 + 5 and o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6070301 is divided by 1818.\nAnswer: 1817","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 13*j**5 + 77*j - 43*j - 46*j wrt j?\nAnswer: 260*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 970a0b (base 12) in base 9?\nAnswer: 4436082","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -10087*r - 726258. Determine l(-72).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 25\/(-24) + 2\/3. Let a be ((-6)\/(-15))\/(-1*(-15)\/(-25)). Sort a, -1\/3, s in ascending order.\nAnswer: a, s, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40*i - 35*i + 10*i.\nAnswer: -65*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.4, 2, -15, -0.56, -0.1, 1?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 67.60357902 - -12480\nAnswer: 12547.60357902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.3 (b) 4 (c) 0.7 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 777 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -285120 by -5280.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 578017 to the nearest integer?\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -111 (base 4) to base 12.\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500*l - 481*l = -19. Let m(o) = -o. Let w(x) = 7*x**3 - x**2 + x + 1. Calculate l*w(b) - m(b).\nAnswer: -7*b**3 + b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 0.9234803 millennia?\nAnswer: 92.34803","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -2*z + 22. Determine k(0).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(6\/11)\/f*f)\/(f*f**(-2\/9)*f)*(f*f**(-2\/19))\/((f*f**(-8)*f*f)\/f) assuming f is positive.\nAnswer: f**(10651\/1881)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*w - 1 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 96 = 4*g + 5*z, 5*g + 2*z = 95 + 25. Let t = g - 24. Suppose t = -5*u - 0*u + 50. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 6*u - 1. Let r be y(1). Suppose -2*a = r*h + 76, -3*a = -0*h + 3*h + 51. Calculate the remainder when 18 is divided by 20\/(-3)*7\/(h\/3).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -112377856*o**3 + 3389024*o**2 + 97 - 62048*o**2 + 13 + 3 - 32832*o - 5 = 0.\nAnswer: 3\/304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2*(-12)\/(-8))\/(3\/(-2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z and 1 u when three letters picked without replacement from {u: 4, z: 3}.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 117343834 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -431*o - 77*o - 1849 = 22027 for o.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 22*h**3 - 27*h**2 + 6 + 28*h**4 - 88*h**4 + 66*h**4 + 3 - 5 wrt h?\nAnswer: 144*h + 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 2*p**2 + 11*p + 27. Let f be m(-3). Let l = -10 + f. Solve 3*y - 2*g + l = 0, -5*y - 4*g = -10 + 28 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6)\/8*((-238)\/(-10) + -23). Which is the third biggest value? (a) 1265 (b) -2\/11 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 335605 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 23, 0.06, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 137 - 192. Find the common denominator of ((-2)\/t)\/(3\/120) and -47\/13.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1128?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p = -5*i + 130, 0 = 7150*p - 3575*p - 3576*p + 3*i + 42 for p.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -98*g**3 + 8*g**3 - 264*g**3.\nAnswer: -354*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4523.3 - 4523.3000019617. Round y to 6 dps.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 13 + 239. Let g = f + -251.085. What is g rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 5, 2, 28.37, 14, 0, 0.8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -8, -6\/7, -1.7?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 28 + 5*r + 227*r**2 + 5*r**3 - 4*r**3 - 48 + 21 to the form m*r**3 + c*r**2 + s + q*r and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 520 - 418 - v**2 + 3*v + 4*v.\nAnswer: -v**2 + 7*v + 102","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-46)\/8 - 27\/(-36). Let b(h) be the first derivative of h**3 - 3*h**2\/2 - 3*h + 17. Let l be b(d). Calculate the greatest common factor of 29 and l.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-250)\/1250)\/(3\/(-195)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26 - 10. Suppose -3*l - l = -k. Suppose 6*m - m = -2*t + 22, -l = -2*t + 4*m. Solve 0 = 5*y - 1 + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1621*0.2\nAnswer: -0.03242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2645998 and 1616.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is -708.717 rounded to 0 decimal places?\nAnswer: -709","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = g - 16. Suppose 4 = g*m - 28. Suppose 0 = -4*y - 0*y + m. Which is smaller: y or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 21.52 - 18.52. Suppose 3 - 13 = -2*g. Suppose g*m = m. Put m, i, -0.2 in descending order.\nAnswer: i, m, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 136 + 2. Let g = 162 - d. Is 23 < g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**6\/24 - c**5\/10 - c**4\/16 + c**3\/6 + 18. Factor f(w).\nAnswer: w**2*(w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -70*t - 1956. What is the lowest common multiple of m(-29) and 4?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -91081\/192768 - -94\/753. Find the common denominator of c and -69\/704.\nAnswer: 2816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 311356 and 972.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -391*r**2 - 18*r + 5. Let i(g) = 2*g + 1. Let z(c) = 4*i(c) - n(c). What is the second derivative of z(o) wrt o?\nAnswer: 782","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.3 + -0.1. Let l be 27\/6*2\/3. Let q be 1\/l - (-3)\/(-6). Which is the nearest to 1? (a) q (b) s (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 14*s + 84. Let i(o) = o**2 + 31*o - 31. Let p be i(-32). Let a(d) = -d - 1. Let x(q) = p*m(q) + 10*a(q). Let h(l) = -l. What is h(x(n))?\nAnswer: -4*n - 74","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4450.4km in centimeters?\nAnswer: 445040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -2, 0 in decreasing order.\nAnswer: 0, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -915*f - 1485*f + 383*f + 28925 = -69908 for f.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/((-16)\/(-4)))\/((-10)\/(-4)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -10*w**3 - 233*w**2 - 5*w - 1. Let p(a) = -2*a**3 + 9*a**2 - a. Give -6*p(o) + y(o).\nAnswer: 2*o**3 - 287*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uquq when four letters picked without replacement from uquq.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -60 - -59.9. Which is the closest to u? (a) 0.5 (b) -2 (c) 0 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t - 2*k - 1, 6 = 3*t - 3*k - 0. Are 4\/313 and t non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 42 + -27. Let j(a) = -9*a**2 - 5*a**2 + k*a**2. Let p(b) be the first derivative of -9*b**2 + 2. Determine j(p(h)).\nAnswer: 324*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21368 - 2885 = -251*x - 1415*x - 23167 for x.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = -12691*r + 12690*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 796026 - 796021. Determine m so that -8\/9*m + 0 - 8\/9*m**g - 2\/3*m**4 + 34\/9*m**3 + 8\/3*m**2 = 0.\nAnswer: -2, -1, 0, 1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3676 is divided by 602?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((-2 + sqrt(300)*3 + -2 + (-4*sqrt(300) - sqrt(300)))*-2)**2.\nAnswer: 640*sqrt(3) + 4859","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (-5)\/5 - 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 5337 + 7*-4*(-3)\/12?\nAnswer: 16032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3 + 122760*n**2 - 1883752200*n = 0. What is n?\nAnswer: 0, 30690","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/6*(-4 + 1) - 66\/(-231)?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -f + 1. Let t be k(-3). Suppose 0 = -4*v + 13*v - 9909. Let n = v + -1090. Solve t*p + 31 = n for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -5\/4 (b) -6 (c) 3 (d) -11.6 (e) -3 (f) -15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4020.9 and 31.\nAnswer: 124647.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 120 and 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h**3 - h**2 + 2*h + 6*h**2 + h**3 + 3*h**2. What is the tens digit of z(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14*b**2 + 40*b - 35*b**3 + 6*b**2 + b**4 - 31*b**4 - 5*b**5 - 3*b**2 + 41*b**2 = 0. What is b?\nAnswer: -4, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, m: 11}. Give prob of sequence im.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.064 * -0.038.\nAnswer: 0.002432","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -163297409555164.\nAnswer: -163297409555168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/3 (b) -1 (c) 0.1 (d) -31 (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express k**3 + 8*k**3 + 2*k - 6*k as w*k + a*k**3 + j + u*k**2 and give a.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1620 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = z - i + 9, -7*i + 25 = -2*i for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*v - 4*v + 2*v)*(2*v + v - 5*v) + (-2*v - v + 2*v)*(130*v + 98*v - 80*v).\nAnswer: -150*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1783.\nAnswer: 1783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -522493*r**3 - 520439*r**3 + 1042936*r**3.\nAnswer: 4*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = 32*u**2 - 334*u - 663. What is the remainder when 804 is divided by d(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-2\/5)*w*w\/w**(-17) assuming w is positive.\nAnswer: w**(102\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 3233013 (base 4) in base 16?\nAnswer: 3bc7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11222 (base 3) to base 10.\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -306*a + 291*a = -30 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2268 is divided by 714.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 22, 41, 86, 169, 302, 497, 766?\nAnswer: 1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u - 20 + 8 = 0. Suppose 4*i + t = -u*t, -3*t = 12. What is the third derivative of -4 + i + l**2 + 2*l**5 + 3*l**5 wrt l?\nAnswer: 300*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 165 - 163. Put r, 6, 5, 1 in decreasing order.\nAnswer: 6, 5, r, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n, 1 e, and 1 s when four letters picked without replacement from isinnennn.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -532266*y - 2 + 266107*y + 2 + 266340*y.\nAnswer: 181*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*f - 5*m - 5 - 22, -8*f - 4*m - 28 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 503 and 4035569?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6116 is divided by 216.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -c - 11, -2 = -3*c - 5. Let z be d\/(-11) + (-360)\/(-44). What is the highest common divisor of 4 and z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -153266011 + 3?\nAnswer: -153266005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 - 6*z**2 - 6*z - 1. Let r be h(-5). Suppose 8*f - r*f = 0. Suppose 3*y - 307 = o - 0*o, y + 5*o - 129 = f. What are the prime factors of y?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 13582 = 3*q + 2*q, -2*j + 5*q = 27239. Let p = j + 367435\/27. Calculate the common denominator of -25*(17\/36)\/(-17) and p.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 2*c. Let v(t) = -t**2 - 83. Determine k(v(p)).\nAnswer: -2*p**2 - 166","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1001101110100001011 - 1?\nAnswer: 1001101110100001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 523452?\nAnswer: -1\/130863","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + f + 105 = 100, -20 = l - 4*f for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3 + 20*z**2 + 64*z + 64 = 0. What is z?\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + -1. Let d = 178 + o. Let u = 61 + -52. What is the greatest common divisor of u and d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a (base 12) in base 2?\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*v + v - 2*v)*(13*v**2 - 26*v**2 + 12*v**2) + (3*v**3 - 3*v**3 - 4*v**3)*(-7 + 2 + 2) + 0*v + 3*v**3 + 0*v)*(3*v + 3*v - 3*v).\nAnswer: 54*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120 + 11100200?\nAnswer: 11100010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 1 - (5 - 6). Suppose -4*x - 5*m + 1650 = x, -10 = l*m. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 266 - 10*v + 17*v - 206 + 6*v**2 - 32*v**2 - 4*v to the form s*v**2 + a + q*v and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 6*m + 7. Let l be t(-5). Let y(v) = v**2 + 11*v + 11. Let p be y(-9). Let z = p + 11. Sort 0, l, z.\nAnswer: 0, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -3*h + 5612 + 1067, 2*h + n = 4461. What is the hundreds digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.803, -0.5, -4730 in decreasing order.\nAnswer: -0.5, -0.803, -4730","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m. Let h(d) = 47*d**2 - 6*d. Let s(t) = h(t) + 6*i(t). Let f(o) = 3*o - 5. Let j(v) = 2*v - 3. Let k(a) = 3*f(a) - 5*j(a). Determine s(k(u)).\nAnswer: 47*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 4 + -5 + -4 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 153741 is divided by 317?\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3044 + 5?\nAnswer: 3053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 717295, 1434564, 2151833?\n\"Answer: 717269*j + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = 6*z. Solve 0 = -z*o - 3*o + 15 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 12, 32, 62, 102?\n\"Answer: 5*o**2 + 5*o + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.345 to two decimal places.\nAnswer: -0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*h - 286 + 710 = 356. Solve 35 = -3*z + h*o, 8*z - 10*z + o - 15 = 0 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 8:37 PM?\nAnswer: 2:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -140133, -280260, -420377, -560478, -700557?\nAnswer: -840608","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -17732, -35509, -53392, -71387, -89500, -107737, -126104?\n\"Answer: -k**3 - 47*k**2 - 17629*k - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 24550110 to the nearest one hundred thousand.\nAnswer: 24600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26886 = -7*p - 100584. Round p to the nearest one hundred.\nAnswer: -18200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -3*d**5 - 143238*d**4 - 1706317767*d**3 + 82220400552*d**2 - 157614384084*d = 0.\nAnswer: -23897, 0, 2, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3669 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*r**2 + 2 + 0 + 24919*r**3 - 24918*r**3 + 16*r in the form x*r + c*r**2 + a*r**3 + s and give c.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*r + 33 = -12. What is the nearest to 1\/7 in -5, -0.1, 1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/((g**12*g)\/g*g))**4*(g**(3\/2))**(-32) assuming g is positive.\nAnswer: g**(-96)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 50809?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/2*2\/1. Suppose 4 = k - 2*g + m, 4*g = k + 5. What is the greatest common divisor of 63 and k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 53.30338 - 53.0033889. Let j = a - 0.3. Round j to six decimal places.\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 5, -1, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 110 + -107. Suppose 33 - 96 = -i*n. Calculate the remainder when 60 is divided by n.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the second derivative of r**4\/12 + 2*r**3 + 14*r**2 - 1562*r. Give j(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.286 to 0 decimal places.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 3) to base 16\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 4*w - 4*z, 3*w - 13 = 5*z + 14. Suppose 2*i = w + 8. Is 3 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -2*v - 3. Let x(w) = -15*w - 21. Calculate -27*l(a) + 4*x(a).\nAnswer: -6*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 123, 246, 369, 492, 615, 738?\n\"Answer: 123*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12436 - -74615\/6. What is the nearest to 0.1 in a, 5, 231?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*a**6 + 1026*a**4 + 2*a**3 + 11291*a**2 + 3*a - 2.\nAnswer: 240*a**3 + 24624*a + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d + 6 = -2*c, -98*c + 99*c - 18*d - 32 = 0 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) 5 (b) 1\/9 (c) -19 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u. Let f be p(-1). Let g = 3 - f. Solve -g*k + i = -i - 8, k + 2*i + 3 = 0 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42 = -32440*n + 32439*n - 2*z, 8*z = -5*n - 164 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*i + 92*i - 3623204 = -723133. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27886020 to the nearest integer?\nAnswer: 5281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -3\/5, 14725, 3, 4 in descending order.\nAnswer: 14725, 4, 3, -3\/5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6063 - -5506?\nAnswer: -254","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iivvvpvpi. What is prob of picking 2 p and 1 i?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(3\/8)*t*(((t*(t*t**(-10)*t)\/t*t*t)\/t)\/t)\/t)\/(t**(1\/3)\/(t**(5\/6)\/t)) assuming t is positive.\nAnswer: t**(-65\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -1 + ((2 + sqrt(20) + 4)**2 - sqrt(20)).\nAnswer: 22*sqrt(5) + 55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000043318 to seven decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s**4 + 0*s**4 + 0*s**4)*(0*s + 0*s - s) - 9 - 9*s**5 + 27 - 15.\nAnswer: -11*s**5 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 652, 1296, 1918, 2506, 3048?\nAnswer: 3532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 - 7. Suppose 0*y - 60 = -c*y. Calculate the remainder when 59 is divided by y.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*z - 77*p + 73*p - 4, 0 = -3*p + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 14 and 193774?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x + k = -331, -k + 335 = 2*x + x. List the prime factors of x.\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -9*t**2 + 7*t - 27. Let i(x) = -5*x**2 + 4*x - 14. What is 11*i(c) - 6*r(c)?\nAnswer: -c**2 + 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:14 PM and 11:10 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*a + 0*a + 2*a**2)*(0 + 1 - 2)*(6*a - 9*a - 11*a) + 2*a**3 + a**3 - 2*a**3.\nAnswer: 29*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 2*a = 26, -17 = -2*y - 8*a + 5*a for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p + 8. Let x(v) = -91*v - 754. Let y(j) = 377*k(j) + 4*x(j). Let r(b) = -116*b**2. What is y(r(o))?\nAnswer: -1508*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 8*j**2 - 8*j - 11. Determine z(9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1489.20560972 take away -41?\nAnswer: 1530.20560972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*l = 4861*s - 4863*s - 11*l - 6, -l = 0 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the second derivative of 7*c**4\/6 - c**3\/6 - c**2\/2 - 6*c. Let t be p(-1). Let r be -1 - ((-20)\/t - -1). Is -1 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33006508.99 rounded to the nearest one thousand?\nAnswer: -33007000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 - 7*t**2 + t + 15. Suppose 4*k = 3*b + 6, -3 = 3*k + 2*b + 1. Suppose -z + 5*z - 28 = k. Calculate the smallest common multiple of h(-7) and z.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 5*j**2 - 2*j. Let q(x) = -6*x**2 + x + 2*x**2 + 5*x**2 - 2*x**2. Give k(r) + 2*q(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6159248.9 and -4.\nAnswer: 24636995.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 8:51 PM?\nAnswer: 10:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 12 - 6 + 0)*(-1571*u - 2392*u + 828*u) in the form s + i*u and give i.\nAnswer: 62700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 - -124\/3. Suppose -2*g + 36 = 3*i + 49, 3*g + 13 = 2*i. What is the second biggest value in -0.3, w, 5, i?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0.6, 0.2, -2 in descending order.\nAnswer: 4, 0.6, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + j**2 + j**2 - 3)*(4*j**2 + 0*j**2 - 9*j**2).\nAnswer: -10*j**4 + 15*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d - 7. Let a be u(-1). Let h be 3\/(a\/(-37 + 3)). Calculate the highest common divisor of h and 34.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttiggt. Give prob of picking 2 t and 1 g.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 2605*j - 7819. What is c(3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -4*5\/10 - 2. What is the remainder when ((-1044)\/10)\/(m\/10) is divided by 44?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.042 less than -217934290.4?\nAnswer: -217934290.442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 27 (c) -83322.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 87752389?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the second derivative of -o**4\/6 + 3*o**3\/2 + 17*o. Let r(h) be the first derivative of h**2 + 171. Determine t(r(i)).\nAnswer: -8*i**2 + 18*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-65)\/60*8\/26\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 18?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = -c**3 + 8*c**2 - 7*c - 1. Determine w(6).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -6\/487?\nAnswer: -6\/487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the second derivative of -4*j + 18\/5*j**6 - 7*j**3 + 61\/4*j**4 - 14 - 63\/5*j**5 + 3\/2*j**2. Factor m(b).\nAnswer: 3*(b - 1)**2*(6*b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 132163 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -342 - -347. Solve 5*w = 4*m - o*m + 20, m = -2*w + 8 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740512005 to the power of 1\/3, to the nearest integer?\nAnswer: 905","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 12073\/4484025 + 2\/12775. Let s = 114525256\/351 + -326283. Let o = s - y. Which is the closest to -2? (a) o (b) 1 (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24996 + -25016.033. Let t = x - -0.033. Let b = t + 21. Is b >= -16?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*l - 339 = 922*l - 4119 for l.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -4\/9 (b) 29 (c) -12 (d) -2\/41 (e) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209059250 to the power of 1\/7, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 77, 171, 301, 467, 669?\nAnswer: 907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mnkqkmqmmmmmkmmmgkg. Give prob of sequence qnmm.\nAnswer: 5\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dddx when four letters picked without replacement from xddyxddxdyyydydd?\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -11702\/5 + 561431\/240. Find the common denominator of u and (-48)\/(-144) - (-26)\/24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -g + 1069 - 1070 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -218801, -218800, -218799?\nAnswer: -218798","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 13, k: 5}. Give prob of picking 3 k.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*c + 6*c. Let g be 7\/((-105)\/(-10))*(0 - -3). Suppose 0 = 4*x - 12, c*z = -g*z - 3*x + 109. Is z a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 5, z: 3, g: 3, i: 1}. What is prob of picking 3 g?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1408\/(-96) + (-9 - -41). Factor 16\/3 + 28\/3*a**3 + f*a + 20*a**2 + 4\/3*a**4.\nAnswer: 4*(a + 1)**3*(a + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 355 minutes before 11:59 PM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -202203?\nAnswer: -202200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -114124 (base 5) to base 9\nAnswer: -5785","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -232.6 + 227.6. Which is the second biggest value? (a) m (b) -3 (c) 1\/232\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h - 2 + 2)*(-1 + 1 - 1)*((-3*h**2 - 3*h**2 + 5*h**2)*(19*h + 3*h - 146*h) - 6*h**2 + 6*h**2 + h**3).\nAnswer: -125*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -10110111011110101 (base 2) to base 15\nAnswer: -1cc7b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 49*q**2 - 74*q + 29. Is b(-6) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1111210122?\nAnswer: 1111210210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 3 = 2*p + 1, -25 = 5*d + 5*p. Let u(f) = 535924*f**3 - 6*f**2 + 2. Let q be u(d). Round q to the nearest one million.\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*o**4 - 5*o**4 + 7*o + 3*o - o**3 - 8*o in the form w + j*o**2 + v*o**4 + x*o + t*o**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -278.74230834 - -74\nAnswer: -204.74230834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vllllfflff. Give prob of picking 2 f.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -60. What are the prime factors of 12\/(-78) - 550\/n?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*v = 15*v - 2736. Which is bigger: v or -149?\nAnswer: -149","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = f**2 - 21*f - 74. Let l be n(25). Let u(y) = 38*y**3 + 51*y**2 + 62*y + 24. Let h be u(l). What is h rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*b**4 - b - 15*b**4 + 2 - 3*b)*(-3*b - 3*b + 8*b).\nAnswer: -2*b**5 - 8*b**2 + 4*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -440.5 + 621.35. Let z = -176 + i. Let g = z - -0.15. What is the biggest value in 2\/9, 2\/21, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(343) - (-1*sqrt(343) + -1 - sqrt(343))) + 4)*-5)**2.\nAnswer: 5250*sqrt(7) + 77800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 5*x - 4*x. Let h be 55\/10 + 1\/(-2). Suppose -4*f - 6*g + 4*g = -x, h*f = -g + 261. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*f**3 + 0 + 2\/9*f**5 - 8\/9*f + 2\/9*f**4 + 22\/9*f**2.\nAnswer: 2*f*(f - 1)**3*(f + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millennium in years?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 488, 575, 726, 941, 1220, 1563, 1970?\n\"Answer: 32*d**2 - 9*d + 465","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2 + 2 - 2*t + 3 - 5. Let r(a) = -a + 1. Let v(d) = 10*r(d) - 4*s(d). Calculate v(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 109181071 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 352 = -4*z + o, -5*z + 4*o = -2*z + 277. Let q = z - -173. Let r = q + -84. Solve 3*j = -r*b - 17, -2*b + j + 2 - 7 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 586 - 1?\nAnswer: 585","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -0.4 (b) -12 (c) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -m**2 + 1041*m - 5178. Give n(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-79*h + 18*h + 195*h)*(-1 + 2*h + 1) as w*h + o*h**2 + f and give o.\nAnswer: 268","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 2. Let i(c) = 2. Let u(j) = 2. Let o(b) = -2*i(b) + u(b). Give 2*m(l) - 2*o(l).\nAnswer: -2*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 17014 + 54\/(-9 + 15) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (q**2 + 15 - 10*q + 11*q - 2*q)*(3*q - q + 3*q) to a*q + t*q**3 + x + l*q**2 and give a.\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5328411050 to the nearest integer?\nAnswer: 72996","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - (-17 + (-3 - -7)). Suppose -f = -5*t + t. What is the remainder when 8 is divided by t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**3 - 7*w**2 + w - 27. Give b(7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3 + 3 - 7)*(4*q - 6*q + 4*q) + 4*q + 2*q - 3*q)*(0 - 1 + 3).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -77\/207 and 17\/11385.\nAnswer: 11385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 240 = -5*r. Is 12 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/(sqrt(2)*-5) + -2)*2*5)**2.\nAnswer: 80*sqrt(7) + 428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 948.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yg when two letters picked without replacement from gggyggggn?\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 49015424179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 3, l: 2, q: 1, w: 3, k: 2, z: 1}. Give prob of picking 1 l and 1 q.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67450966.\nAnswer: 2, 11, 167, 1669","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 14*v. Let d(r) = -153*r. Determine d(u(k)).\nAnswer: -2142*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = -z + 3*z - 4*y, 16 = 4*z + 4*y. Suppose z = -2*r - 3*d, 5*r + 2 = 3*d - 5. Calculate the least common multiple of 1\/((-2)\/22)*(-3 - r) and 37.\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 - 3)*(2 + 2*o - 2) + 0 - 2*o + 0 + 0*o + 0*o + 2*o + (1 - 2 - 2)*(-14*o + 28*o - 13*o).\nAnswer: -5*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.3 (b) -17 (c) 4 (d) 2\/71\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -64*w**5 - 4*w**2 - 6*w**2 + 42*w**5 wrt w.\nAnswer: -1320*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2241 <= -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 11) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 77 + -85. What is the tens digit of (-20)\/(1124\/(-140) - i)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 0*j = 5*j - 1, -5*j = -y - 7 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 127 minutes after 11:25 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 285 is divided by -1 + 49 - 12\/(132\/77)?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29768372.\nAnswer: 2, 7442093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:48 PM and 1:36 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -1976*q - 3. Let u be f(-6). Let b = u + -8273. Let n = -40580 + b. What is n rounded to the nearest 10000?\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in -1, -53, -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 371884401*d**3*n - 1557*d**2*n + 2*d*n + 547*n - 1 wrt d.\nAnswer: 2231306406*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -0.1 (b) 4\/7 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 2, h: 2, p: 7, r: 8}. What is prob of picking 2 r and 1 h?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4)\/(-2) - (67\/(-1) + 4). Suppose l - 2*w + 0 = 3, 0 = l + w - 12. Suppose c - 17 = l. Calculate the highest common divisor of c and q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gy when two letters picked without replacement from {g: 1, v: 1, n: 2, y: 1, i: 2}.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 242*d + 603 = 245*d - 75*c, 0 = -5*d - 2*c - 11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 3.82, 0, -115?\nAnswer: 3.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-153)\/(-12))\/(3\/8). Suppose 4*i - 5*z + u = i, 5*i = 3*z - 30. Which is the third smallest value? (a) -7 (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, s: 2, g: 2}. What is prob of picking 1 s and 2 z?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -8891*g - 80015. Determine d(-9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1219 + -418. What are the prime factors of i?\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.01045 - 0.09045. Which is the fifth smallest value? (a) 0.8 (b) m (c) -4 (d) -3 (e) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of u**6\/3 - 53*u**4\/4 - 85*u**3\/3 + 75. What is the third derivative of b(y) wrt y?\nAnswer: 120*y**2 - 318","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**2 - 21*m + 39. Let u be q(21). Suppose -38*s + u*s - 54 = 0. Calculate the greatest common divisor of s and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3205303 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 - -7. Suppose 2*s - 25 = -34*s + 47. Solve -3*x + g = -8, o*x - 12 = -0*x + s*g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*b + 5*b - b)*(-1 + 3 - 3) + 3*b + 0*b - 2*b - 16*b - 233*b - 94*b - 3*b + 0*b + 6*b to h*b + n and give h.\nAnswer: -341","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8387? (a) 4 (b) -0.07 (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 10110001111111100 (base 2) to base 8\nAnswer: 261774","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11 + -8. Suppose -21 = -3*w - n, 2*w = -5*n + 72 - 32. Let i be (-2)\/u*(174\/24 - w). Sort i, -1\/6, -1, -4\/7 in increasing order.\nAnswer: i, -1, -4\/7, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 363 or -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 0 + 2 + 10*f - 3. Give q(-1).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 387 and 243.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 0.5130922cm?\nAnswer: 5130922","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i - 1979 = -4031 + 1980, 4*r + 7*i + 90 = 2*i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -274 + 1086. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 26193 to the power of 1\/2, to the nearest integer?\nAnswer: 162","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 29 = s. Let c = s - -43. List the prime factors of c.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(3\/4)*j**(-1))\/((j*j**0\/j)\/j**(-3))*(j\/j**(3\/2))\/(j*j\/j**(-5))*(j*(j*j**(-1\/5))\/j*j)\/j*j**(-6\/7) assuming j is positive.\nAnswer: j**(-1513\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (16\/(-24) - 4\/(-15))*(1 + 19)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-280)\/16 - -5)*-4. What is the tens digit of 69\/(i\/(-20)*(-6)\/190)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 577398, 2308553, 5193810, 9233169, 14426630, 20774193, 28275858?\n\"Answer: 577051*d**2 + 2*d + 345","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(1\/3)\/z*z*z\/(z\/z**(-43)))\/((z*z**(-40))\/z**(-36)))**(-21) assuming z is positive.\nAnswer: z**833","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -471, -13\/6, 2, 6, -3, 2\/3 in descending order.\nAnswer: 6, 2, 2\/3, -13\/6, -3, -471","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -33 + 67. Calculate the remainder when q is divided by 19.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r\/r**(2\/5))\/(r\/(r**(-1\/3)\/r)))\/(r\/(r\/r**(-5))*(r*r**(3\/7))\/r))**46 assuming r is positive.\nAnswer: r**(13708\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:17 PM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes after 10:25 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 445 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 15630 plus -153240410?\nAnswer: -153224780","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -158, -180, -200, -218?\nAnswer: -234","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46194*r**3 + 1385835*r**2 - 10394100*r + 3375 = 0. Calculate r.\nAnswer: 5\/15398, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -y**4 + 6*y**3 - 4 - 11*y**3 + 3 + 4*y**4 to the form l + i*y**2 + k*y**4 + q*y**3 + m*y and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 10411 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12332 and 2232092?\nAnswer: 2232092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1846 times 19250?\nAnswer: 3553.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/12*40\/(-90).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.731 - -3.831. What is the biggest value in 0.4, 1\/2, -3, k, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -3*l + 14. Let u be y(4). What is the units digit of 79*u*3\/(-24)*-4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a - 10. Suppose y + 42 = 4*y. Let w be p(y). Let n = -12 - -7. Put n, -3, w in decreasing order.\nAnswer: w, -3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 150 and 2826.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 6:38 PM?\nAnswer: 298","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -10914\/55 (b) -1\/2 (c) 9 (d) 4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1691.5+187\nAnswer: -1504.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -306*d**3 - 16*d**2 - 76*d + 6. Let h(s) = -153*s**3 - 7*s**2 - 30*s + 3. Calculate -5*h(p) + 2*q(p).\nAnswer: 153*p**3 + 3*p**2 - 2*p - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in -76, -1\/3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -15, -9, 1, 15, 33?\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 68*g - 3. Let k be q(-1). Let c = k + 77. Suppose -3*t = -2*l + 68, 28 + 0 = l - 3*t. What is the smallest common multiple of c and l?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 205668823 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 302812400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1942403095 and 53.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 4*f - 236, -12 = -3*f + 3*w + 189. Suppose 4*y - f = 41. What is the highest common factor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1412838 to the nearest integer?\nAnswer: 1189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -2*s - 10. Suppose -3*d - 6 = -4*j - j, 0 = -5*j - 15. Let x be k(d). What is the derivative of 3*q**4 - 2 + q**x - 6*q**4 wrt q?\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*h - 10*h + 6*h**5 + 3*h**5 wrt h.\nAnswer: 180*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1022 - 2b1?\nAnswer: 931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 26 - 5 + 4*y)*(3 + 1 - 3).\nAnswer: y + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j - 5*b = 42, -1965 = 6*j + 2*b - 1813 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*i - 21, -5*m + 5*i - 105 = -0*m. Is m at most -21?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6528 - -6528. What is the closest to d in 4, 1\/8, -33?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/5, 4, 1\/11, -0.05475, -4, -1, 0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3 - 15218.97.\nAnswer: -15215.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 5, 0 in decreasing order.\nAnswer: 66, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find n, given that -2*n**5\/21 - 946*n**4\/21 - 144670*n**3\/21 - 7050350*n**2\/21 = 0.\nAnswer: -185, -103, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298446784.\nAnswer: 2, 4663231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 280 and 19880?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*u**5 - 8*u**4 - 10*u**3 + 5716*u**2 wrt u.\nAnswer: -360*u**2 - 192*u - 60","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 15 = -4*u, -53*t = -58*t + 2*u - 11. What is the third biggest value in -0.5, 5, t, -0.003?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = m**2 + 8*m + 13. Suppose -3*g + 65 = 86. Suppose k - 4*u = -2*u + 6, 3*k + u - 32 = 0. Calculate the lowest common multiple of k and y(g).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17468721?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 5093 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19287 is divided by 1127.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -4. Solve w + 0 + h**2 + 0 + h = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25277168?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (0 + sqrt(208) - sqrt(468)\/sqrt(4)) + 4 + sqrt(13)*1 + sqrt(13) + -2.\nAnswer: 4 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-10)\/(-25))\/(4\/380). Suppose -2*k = k + 69. Let b = k + f. What is the highest common factor of b and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(833)*1)**2 + sqrt(833) + 2 + (1*(sqrt(833) - (sqrt(833) + -1)))**2)*-1 + (sqrt(833) - ((sqrt(833) - (0 + sqrt(833))) + 2))*-2*3.\nAnswer: -824 - 49*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 26515*x + 8154.\nAnswer: 26515","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1644069?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + m - 27 = -2*r, 0 = -3*r - 3*m + 27. Suppose 3*t - r = 3, -2*t + 68 = 2*d. What is the remainder when d is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2085 = 2095?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence too when three letters picked without replacement from {s: 1, d: 1, o: 2, i: 1, c: 1, t: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -28, 0.1, 3, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1285 and 29812?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 4*r - 4*a, 5*a - 44 = -5*r - 9. Suppose -5*q - 5*t = -33 - 162, 0 = r*q + 3*t - 154. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 24 - 22 = 0. Let f(d) = 2462502*d**3 - 5*d**2 + 4*d - 4. Let u be f(w). Round u to the nearest 1000000.\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) be the third derivative of -b**5\/60 + 7*b**4\/24 - 4*b**3\/3 - 4*b**2. Give r(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 234\/(-21)*40\/(-18). Let l = q + -73\/3. Let k(y) = y**3 + 6*y**2 + 5*y + 1. Let v be k(-5). Which is bigger: l or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 8.7053421 hours?\nAnswer: 0.0518175125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1822 + 131*i**3 - 3644 + 1822.\nAnswer: 131*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5594532 and 6557.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*j - f, -4*f = -2*j - 11 + 3. Solve 0 = -w - 5 - j for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -345953*p. Let v(n) = -3*n. Give h(v(u)).\nAnswer: 1037859*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 215414 a multiple of 403?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2464 (base 7) in base 15?\nAnswer: -41d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43526504*p - 21763249*p - 21763258*p.\nAnswer: -3*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 10688, 21251, 31684, 41981, 52136, 62143, 71996?\n\"Answer: -m**3 - 59*m**2 + 10747*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1336971623 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54731?\nAnswer: 229, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -197\/2437500 and -43\/812500?\nAnswer: 2437500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d + 3*f + 4550 = 4386, 0 = 2*d + f + 80 for d.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 i when three letters picked without replacement from {i: 3, l: 2, y: 4, p: 4, m: 1}?\nAnswer: 9\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, p: 3, g: 6, d: 2}. What is prob of picking 1 d, 1 p, and 2 g?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -98448 divided by -48\nAnswer: 2051","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 368, 351, 314, 251, 156, 23?\n\"Answer: -o**3 - 4*o**2 + 2*o + 371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 4*s = 3300 - 419, -2 = -2*s. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*t + 4*t + 22 = 0 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1+-0.883\nAnswer: 0.117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 42401\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/20*(2 - 7). Let p be 80\/(-12)*6\/k. Let g be (-4)\/p + 94\/10. Solve -5*x - 18 = -2*x - a, 3*a - g = 0 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 26\/7? (a) 0.247 (b) 1 (c) 5 (d) 0.1 (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*r**3 - 11230*r**2 + 33672*r.\nAnswer: 2*r*(r - 5612)*(r - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = y + 19, -h - 4*y - 4 = 9. Suppose v + 5 = 2*d, -2*v - h*v - 10 = 5*d. Suppose m - 7*m + 66 = 0. What is the highest common factor of d and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 1:31 AM?\nAnswer: 372","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.09*-25.062.\nAnswer: 2.25558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 25 - 23. Suppose 8*o = -j*o + 10. Let s(r) = -3*r**2 - 20. Let l(y) = y**2. Let u(m) = o*s(m) + 2*l(m). Differentiate u(g) wrt g.\nAnswer: -2*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 3 - 2 + 22*f + 2*f**2 - 19*f. Suppose -5*p - 5*w = -35, p - 5*w = -p - 14. What is i(p)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -58, -3, 4, -932 in increasing order.\nAnswer: -932, -58, -3, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 + 6*c**2 - 5*c + 3. Let i be z(5). Suppose i*u - 6 = 3*d, -u - 4*d + 6*d = -4. What is the third biggest value in u, 2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 248681156274 + k**2 - 248681156274.\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.757 + -3806.757. Let o = -3798.98419 - k. Round o to 3 decimal places.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1450 and 493.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.0479 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 68 = 2*y, 0 = -3*c + y + 15 + 55. Let d be ((-3)\/2)\/((-6)\/8). Suppose d*o - 315 + 75 = 0. Calculate the highest common divisor of o and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2081, 2183, 2431, 2897, 3653, 4771, 6323?\nAnswer: 8381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4547 is divided by 195.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**3*p)**3)**11 assuming p is positive.\nAnswer: p**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o + 38893 = 195671. Is o greater than or equal to 1826?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 - (93\/186)\/(1\/(-6074)) a multiple of 294?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 252.38 * 675.6\nAnswer: 170507.928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 2 = 3*s, 3*s + 0*l = -l + 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the second derivative of -3*m**5\/80 - 19*m**4\/8 - 69*m**3\/8 + 81*m**2\/2 + 1772*m. Solve o(f) = 0 for f.\nAnswer: -36, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4595989201 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -1519, -4970, -10311, -17542?\n\"Answer: -945*q**2 - 616*q + 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 16848041113 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -13575254 (base 8) to base 5.\nAnswer: -1242010303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12740 and 9100?\nAnswer: 63700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 35 divide 10114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 30407*p**3 - 10205 wrt p?\nAnswer: 91221*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 3 i when four letters picked without replacement from uiisskuisuiuuu?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15102 is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11 - -1221?\nAnswer: 2002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9 * 32084.\nAnswer: -288756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 5701 a factor of 1051475401?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43432 or 43504?\nAnswer: 43432","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16330.\nAnswer: 2, 5, 23, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 4*s + 18, 11 = -2*o - s + 2. What is the common denominator of -59\/10 and 36\/(-21)*(o - 0)?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 3*n**2 - n. Let t be s(2). Let f(a) = -a - 4. Let l be f(-4). Is t equal to l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the first derivative of -169*q**6\/2 - 1324*q**3\/3 + 1766. Find the third derivative of j(r) wrt r.\nAnswer: -30420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -85773 divided by -10\nAnswer: 85773\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 97 + -6. Let g be -2*1\/7 + 4212\/p. What is the highest common factor of g and 69?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3, -1, -0.1, -8\/3, 0.3, -719, 0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = k**2 - 5*k. Let q(b) = b**2 - 6*b. Let l(j) = 5*q(j) - 6*r(j). Let y(w) = 3*w**2. Give y(l(t)).\nAnswer: 3*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/2*44 - -3. Calculate the highest common factor of u and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of -13*u**8\/336 - 19*u**5\/60 - 5*u**2 + 9. Let y(g) be the second derivative of a(g). Find the third derivative of y(l) wrt l.\nAnswer: -780*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 13*z**2 + 13*z - 6. What is i(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 + 1582*x**2 - 9438*x + 14130 = 0.\nAnswer: 3, 785","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 141164 is divided by 1342.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of -3*r**8\/56 + r**4\/6 + 11*r - 10. Let t(h) be the first derivative of w(h). Find the third derivative of t(s) wrt s.\nAnswer: -360*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 + 11*x**2 - 27*x - 1. List the prime factors of g(-13).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 + 6 = 5*b. Let c(g) be the first derivative of g**3 + 3*g + 2*g**3 + 3*g**3 + 6 - 3*g**2 - 5*g**b. Find q such that c(q) = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n**3 + 2*n**2 + 10*n + 9. Let r be m(-1). Do 3\/64 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 299620951 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/252)\/((-187850)\/(-52020)).\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -55, -75, -89, -91, -75, -35, 35, 141?\n\"Answer: f**3 - 3*f**2 - 18*f - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72422 at most 72422?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-2 - 3) + 3 - 3. What are the prime factors of 2\/(q\/((-55)\/2))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v - 14*v = -6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 550.\nAnswer: 9900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 33 - 31.61. What is x rounded to 1 decimal place?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 2*z + 3)*(-720 + 366 + 439) to s*z + g and give s.\nAnswer: 170","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-212)\/(-18) + 4\/18. Solve 3*y - 12 = 3*l, l + x = -3*l + 3*y for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*n = -46*n. Let w(t) be the second derivative of 2*t + 0 + n*t**3 - 3\/2*t**2 + 1\/4*t**4. What is the derivative of w(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1125*l**3*y + 2*l*y - 24*l - 199178*y wrt l?\nAnswer: 3375*l**2*y + 2*y - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2 times -10\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2445768 and 2106.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3822 and 702?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 48010397 to the nearest one hundred thousand.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of -j**5\/10 + 11*j**4\/4 - 16*j**3 - 72*j**2 - 288. Find x such that m(x) = 0.\nAnswer: -2, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -357 = 256*u + 65*u + 36*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3186)\/99 + -7 + 6\/33. Are u and -39 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -13*l. Let z(w) = 18653*w**2 + 2. What is z(t(j))?\nAnswer: 3152357*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jnjj when four letters picked without replacement from jjjjjnjjjjjjjjnjjjjj?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64325384.\nAnswer: 2, 509, 15797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*a - 36*a = -6*a - 9080. Calculate the remainder when a is divided by 97.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:47 PM and 12:05 AM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 485 - 369. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (1*sqrt(396)*2 - 4*(sqrt(396) + 1 + sqrt(396))))**2*5.\nAnswer: 2520*sqrt(11) + 71525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-2\/27)\/(b**(-1\/8)*b)*(b**(7\/6))**(3\/40) assuming b is positive.\nAnswer: b**(-1861\/2160)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 441.124 + -6.824. Round j to the nearest 10.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(78) + sqrt(78) + sqrt(78)*-2*-1 - sqrt(78)) + -1*(sqrt(78) - 2*sqrt(78)))*-2)\/((sqrt(2430)*-2)\/(sqrt(10)\/sqrt(2)*5)).\nAnswer: 20*sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -130 + 193. Calculate the lowest common multiple of 39 and i.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1*64469.\nAnswer: -6446.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/10 and ((-86)\/6 - 0) + 6\/9.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-13*i**3 + i**3 - 10*i**3)*(-27*i + 6*i - 9*i) + i**4 - i + i to b*i**3 + v*i + f*i**4 + j*i**2 + y and give f.\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -h + 8. Let y be i(5). Suppose 3*z - 539 = -2*a - 0*z, -y*z + 1361 = 5*a. Suppose 4*q - 2*w - a = -0*w, w - 5 = 0. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 4*t**2 - 25 + 25. Let d(z) = -3*z. Give c(d(f)).\nAnswer: 36*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*d + 9. Suppose d = i - 4*l - 0, 2*l + 7 = -5*i. Let s be 0 + 1*(-1 - 1). Sort 2, s, i.\nAnswer: s, i, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -97*(1 + 6\/(-3)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4\/1 - 2) + 2. Let d(f) = -4*f + 30. Let r(z) = -z + 23. Let b be r(16). Let m be d(b). Solve m - q = -i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 6\/5 of a microgram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of 1\/2*o**4 + 0*o**3 + 0*o - 5 + 9\/2*o**2. What is the second derivative of z(c) wrt c?\nAnswer: 12*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((12\/9)\/2)\/(264\/(-45) - -6). Let a(z) be the third derivative of -22*z**2 + 0*z**4 + 0*z + 1\/20*z**f + 0*z**3 + 0. Let o(i) = -12*i**2. Give a(o(b)).\nAnswer: 432*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -603.9999294 - -604. What is i rounded to six decimal places?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193134686.\nAnswer: 2, 96567343","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1634 - -2534. Suppose 39*s + v = 49*s. Does 10 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 3 + u**3 + 13*u**2 - 23*u**2 + 10*u**2. Let i(z) = 5*z. What is i(a(g))?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i + 1335 = 1395 for i.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6969859706 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1\/6772?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 212*m**2 - 67*m**2 - 70*m**2 - 76*m**2 + 39*m**3 + 54*m**3 - 42*m**3.\nAnswer: 51*m**3 - m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 88452533?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 + 6*c**2 - 5*c + 15. Let s be p(-7). Suppose -2*v + s = 9. Let j(k) = -7*k**3 - 5*k**2. Let w(y) = 6*y**3 + 4*y**2. Give v*j(a) - 5*w(a).\nAnswer: -2*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128 - -117.8. Let p = -10.6 - o. Let g(l) = -l + 1. Let k be g(4). What is the third biggest value in 1\/4, k, p?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 l, and 1 t when three letters picked without replacement from tctcl.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 7:49 PM?\nAnswer: 3:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-50154)\/(-916918) + 5\/155\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v + 1. Let t be u(-5). Let h = t - -14. Let o = 14 - h. Does 4 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 6\/25 of a millennium?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhth when four letters picked without replacement from {h: 3, a: 9, t: 4, r: 1, w: 1}.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-76)\/437 + 0\/(-2). Suppose -81*g - 4 = -77*g. Which is bigger: t or g?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 16\/48*(-1)\/2. Let s be 0\/(-1) - (-6)\/(-4). Suppose 0 = 5*o - 3*r - 21, -2*o + 3*r = -25 + 13. What is the second biggest value in o, s, 0, p?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 21 in 2\/23, 0.1, 1\/3, -10\/7?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add -2828589.9776416 and -0.015.\nAnswer: -2828589.9926416","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, 2\/5, 0.6, 4\/7, 183, 972?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 24 - 16. Let p(h) = 7 - 4 + 1 - 2 + y*h. List the prime factors of p(2).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-22)\/(-4)) + 0. Let g(q) = -q + 21. Let z be g(13). Let o be (z\/(-60))\/((-7)\/5). What is the smallest value in 1, o, m?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*u = 1 - 4, 4*v - u = 16. Suppose 0 = 3*p, -3*g + 0*g = -v*p - 12. Solve -2*i - 2*n + 5 = -1, 0 = -g*i + 2*n for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -44, -65, -86, -107, -128?\n\"Answer: -21*v - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 217.84 and 0.1.\nAnswer: 21.784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 43301, 86601, 129903, 173207, 216513, 259821, 303131?\n\"Answer: f**2 + 43297*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161137568?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -11\/2579?\nAnswer: -11\/2579","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -66c (base 13) to base 5.\nAnswer: -13404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a factor of 33017?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 683548*f - 341772*f - 341781*f.\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8386835 litres in millilitres?\nAnswer: 838.6835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -73.04.\nAnswer: -73.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3882294 and 7614?\nAnswer: 34940646","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10139?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 - 3 + 1)*(-5*l + 4*l - l) - 1582*l + 0 + 1661*l + 0 to the form s + x*l and give x.\nAnswer: 83","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 18, t: 1}. What is prob of sequence pp?\nAnswer: 17\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 204443.\nAnswer: 204443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -34.744 and -6?\nAnswer: 208.464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/14)\/((-5)\/(-35))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 63786?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 17*r + 387. Let u be l(-21). Let y(h) = h**3 + 15*h**2 + 15*h + 17. Let o be y(-14). Suppose o*z - 9*z = -174. Is u greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -59.95 + 62. Let i = 0.01 - g. Let k = i + -7.26. Round k to the nearest integer.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 5027841 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 600, 1172, 1746, 2322, 2900, 3480?\n\"Answer: f**2 + 569*f + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**2\/7 - 2928*f\/7 + 1071648\/7.\nAnswer: 2*(f - 732)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 521.\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 179382 to the nearest 1000.\nAnswer: 179000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -147*f - 34. Is t(-2) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 55, -4, 4, 5, -1, -30244, 3 in descending order.\nAnswer: 55, 5, 4, 3, -1, -4, -30244","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -10001101110111100011 (base 2) to base 8\nAnswer: -2156743","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 203 - 14030?\nAnswer: -13322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - 5.1. What is the closest to -0.1 in -0.5, 2\/19, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 732*w - 2896.\nAnswer: -2*(w + 4)*(w + 362)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3556 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 + 1657786?\nAnswer: 1657788","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -544, 5, 1, 20.\nAnswer: -544, 1, 4, 5, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -2*m**2 - 1338*m - 84893. Give x(-71).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of -g**3\/3 - 6*g**2 + 6*g - 7. What are the prime factors of t(-11)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-3)\/66*11*-844 is divided by 253?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000399591 rounded to seven dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(0 + -1 - 0). Let b be 3 + (-165)\/12 + (-2)\/8. Let f = b + 19. Calculate the highest common factor of f and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -28\/3 + 187\/21. Which is the closest to -1? (a) s (b) -5 (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1040, 4439, 10098, 18011, 28172, 40575, 55214?\n\"Answer: -n**3 + 1136*n**2 - 2*n - 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 181 + 250 = 55*n - 449 for n.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -6*(-100)\/(-225)*6\/8\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 2*v**2 - 6*v + 3. Let s(h) = -h + 1. Let c(n) = q(n) - 3*s(n). Determine c(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-7 - -2 - -5) + -3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -8*h + 11. Let n(b) = 0 - 3*b - 4 + 5 + 3. Let s(f) = -4*d(f) + 11*n(f). What is s(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -216 (base 9) in base 13?\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -66 + 70. Put p, -2\/3, -0.5, 5 in decreasing order.\nAnswer: 5, p, -0.5, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (-1 - (2 + -66)) + -440 + 446.\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 877968?\nAnswer: 2, 3, 7, 13, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4248*d - 8474*d - 270 = -4280*d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -285677, -576452, -867229, -1158008, -1448789?\nAnswer: -1739572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67 and 207968?\nAnswer: 207968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 23072663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6096.873009 + -6084.873. Let p = 12 - n. Round p to 5 dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -24\/13 (b) 2\/7493 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2835*d - 12366*d - 220247 - 226617 = -141872 for d.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 112, 465, 1054, 1879, 2940?\n\"Answer: 118*r**2 - r - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 0*v = 2*v - 24, 0 = -5*b + v - 24. Let x be ((-84)\/32)\/((-6)\/b). Which is bigger: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3119 or 908?\nAnswer: 908","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(8) - sqrt(22)\/(sqrt(11)*-3) - (2*(sqrt(242) + 1) - (sqrt(242) - (5*(-1 + sqrt(242)) - sqrt(242))))**2)*-3 + -3.\nAnswer: -1000*sqrt(2) + 18174","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/1536 and 27\/24712.\nAnswer: 4744704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8383787 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -1063.\nAnswer: -5\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (20\/30)\/(6\/(-45)). What are the prime factors of 4*d\/(-40)*-13*-62?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 + 57. Let n be 8\/(-2) - -3*(u + -2). Suppose -n*t + 1312 = 2*t. Is t a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of q**6\/600 + q**5\/25 - 9*q**4\/40 + 22*q**3\/3 - 14. Let i(g) be the third derivative of t(g). Factor i(v).\nAnswer: 3*(v - 1)*(v + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 279 and 2046.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2170023?\nAnswer: 3, 269, 2689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1603 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 408?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 3*q + 107. Let l(y) = -2*y**2. Determine w(l(a)).\nAnswer: -4*a**4 - 6*a**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (-14 + (18 - (7 - -7)) + (-45 - 0)).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 129\/238 - -1\/34. Let h = -58 - -81. Let f = h + -22. Which is the nearest to f? (a) k (b) 2\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 + 0)\/(-1*1\/1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x, given that 2*x**4 + 2676*x**3 + 98358*x**2 - 575116*x - 670800 = 0.\nAnswer: -1300, -43, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the second derivative of -2*x**2 + 1\/6*x**4 + 3*x - 5\/6*x**3 + 0 + 1\/20*x**5. Determine a(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 12 = -4*v. Let t be 24 + 1 + v + -3. What is the units digit of (-75)\/t - (1 + -15)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*((sqrt(117) + sqrt(117) + (sqrt(117) - 3*sqrt(117))*-6 - sqrt(117)) + sqrt(117)))\/(1*(sqrt(9) + sqrt(9)*-3)*-1).\nAnswer: -21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 7957, 7960, 7965, 7972, 7981?\n\"Answer: f**2 + 7956","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -7 or 3472?\nAnswer: 3472","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*12182.\nAnswer: -24364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -10775 > -10775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 54.2299cm to kilometers.\nAnswer: 0.000542299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1021\/24 or -42?\nAnswer: -42","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (-4 + 11)) + 752 + -775?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 4:40 PM?\nAnswer: 1:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 417550?\nAnswer: 2, 5, 7, 1193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 - -26. Suppose -2*j - j = -5*x + 85, 3*x + 65 = -i*j. Let u be (-3 - -5)*j\/(-8). Solve u*m + 32 = -3*c - 3, 4*m + 3*c = -31 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -279462370 by -11.\nAnswer: 25405670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/104796 and -145\/26532.\nAnswer: 77234652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 244 a factor of 11224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the first derivative of -23*q**4\/2 - q**3 - 6*q - 76. Find the third derivative of s(p) wrt p.\nAnswer: -276","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 916 and -0.5?\nAnswer: -458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 PM and 11:42 PM?\nAnswer: 578","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-2*sqrt(117) - sqrt(117)) + 4) + -1.\nAnswer: -5 + 9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 222 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: Two letters picked without replacement from tntttnttt. Give prob of sequence nn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjdjvvjdvjdvjvvd. What is prob of picking 1 v and 2 j?\nAnswer: 63\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-t**2 - 4 + 4)*(39 + 220 + 496 - 3 + 0 + 2 + (4 + 2 - 5)*(1 - 3 + 4)) to y + h*t**2 + p*t and give h.\nAnswer: -756","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.7564 to 2 dps.\nAnswer: -2.76","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 5 - 5)*(45*w + 5*w - 2*w) to j + x*w and give x.\nAnswer: 624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 18 - 73. Is -0.2 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/5, 2.1, 1364338 in descending order.\nAnswer: 1364338, 2.1, 2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.25 - -29.85. Let g = 30 - w. Which is the closest to g? (a) 0.3 (b) -1\/5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k + 3922 = 4162 for k.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -610689*x**5 + 753019*x?\nAnswer: -12213780*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*j = 8*j + 4. Suppose -b - 10 = -4*y, -y - 2 = 5*b + 6. Let l(p) = p**2 + 2*p**2 + 4*p**y - 3*p**j. Let i(x) = -3*x**2. Give i(l(g)).\nAnswer: -48*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33805179?\nAnswer: 3, 97, 38723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -28655.09?\nAnswer: 57310.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 443280 and 2625?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 1130 = -5*z, -340 = 2*f - 5*z + 119. Let i = -384 - f. Let g = -6 - i. What is the hundreds digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1.4 - -2.65. What is v rounded to 1 decimal place?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3579680 and 2080?\nAnswer: 2080","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the third derivative of 0*c + 2*c**2 + 0 - 1\/24*c**4 + 0*c**3. Let a(i) = 3*i. Determine j(a(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.196 + -0.397. Let s = -0.199 + o. Let m = -1 + -7. Put m, s, 1 in decreasing order.\nAnswer: 1, s, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 8 - -4) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = 2*v**2 - 28*v + 5. Suppose 86*c - 221 - 983 = 0. Give d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -7375, -7336, -7255, -7114, -6895, -6580, -6151, -5590?\n\"Answer: 3*n**3 + 3*n**2 + 9*n - 7390","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*z**2 + 396 - 13*z**2 - 6486 - 835*z.\nAnswer: 5*(z - 174)*(z + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w, 25*p - 21*p - 2*w = 106. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2. Let r(v) = -30356*v**2 + 28*v + 168. Let i(b) = -3373*b**2 + 3*b + 18. Let g(m) = 28*i(m) - 3*r(m). What is n(g(l))?\nAnswer: -11397376*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 872189 to the power of 1\/3, to the nearest integer?\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2053507 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 13, r: 3}. Give prob of sequence rbrr.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that -w**2\/5 + 2234*w\/5 + 107207\/5 = 0.\nAnswer: -47, 2281","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 4.44 + -7.44. Let j be ((-60)\/(-45))\/(4\/6). What is the nearest to 1 in 90, j, c?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2970*m + 18 = 4*d + 2973*m, -4*d = 18*m - 48 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - n**2 + n + 3. Let w be i(0). Let t(j) = 1 - 5*j - 2*j + 4*j + 4*j. Let x be t(1). Which is the biggest value? (a) w (b) -2\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 90 and 34257960?\nAnswer: 34257960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 1319049.8417 to the nearest 10000.\nAnswer: 1320000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-155)\/(-30) - (-4)\/(-24). Let k(x) = 22*x**3 - 4*x**2 + 10*x. Let d be k(v). Round d to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 82, 88, 110, 154, 226, 332?\n\"Answer: r**3 + 2*r**2 - 7*r + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/7 (b) -1 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f + 0 + 0)*(1 + f - 1) - 3*f**2 + 5*f**2 - 3*f**2 + 28 - 33 - 2*f + 16 - 54*f**2.\nAnswer: -57*f**2 - 2*f + 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -18615*a - 223387. Determine g(-12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 817\/7 - 117. Let g be 3*(2 - 5\/3). Let y = g + 2. Sort y, -0.3, l in increasing order.\nAnswer: -0.3, l, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -190\/66327?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t + 453 = -4*a + 460, 0 = 4*a - 5*t - 31 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 23 and -0.4.\nAnswer: -9.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (72\/20)\/(4\/30). What is the highest common divisor of q and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4586?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y**2 - 4*y**2 + 2*y**2)*(-1 + 1 + 1) + 2*y**2 - 2*y**2 - y**2 + 2 - 2*y**2 - 2 + (3 - 3 - y)*(-2 + 3*y + 2) - 3*y - 3*y**2 + 3*y.\nAnswer: -11*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x - 6*i + 4*i = -10, x + 3*i = 8. Let m be 0 - (21\/6 - 1). What is the nearest to x in m, -1, 1\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 1813, 1686, 1557, 1426, 1293, 1158?\n\"Answer: -s**2 - 124*s + 1938","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h + 4*h - 6*h)*(0*h - h + 3*h + (1 + 0 + 1)*(-h + h + 2*h) + 2*h - 2 + 2).\nAnswer: -16*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(2\/13)\/k*k)\/(k\/(k\/k**(6\/11)*k)))**13 assuming k is positive.\nAnswer: k**(87\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3330 + 3300. Is -1\/13 >= q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2\/17, -2683, -0.02?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuhfjhfhwuefwuffhuff. Give prob of picking 1 h, 1 f, and 1 e.\nAnswer: 7\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 91015.95 litres to millilitres.\nAnswer: 91015950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (9 + -1)*(-3)\/(-6). Suppose 0 = -b - s + 15. Calculate the remainder when b is divided by (12\/(-15))\/(2\/(-10)).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/3976 and 89\/32034632?\nAnswer: 32034632","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/149 (b) 1\/2 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -281.718 - -281. Let k = 0.758 + i. Which is greater: k or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 23) + 35 - (0 - -4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.2 <= -110.6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/1)\/(-9 + 10). Solve -3*n - 3*i = -21, 3*n + f = 5*i - 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*s + 56 = -16*s. Suppose -141 - s = -v. Is 40 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + 0. Suppose 2*d = 4*h + 8, 2*d - 4*h = -p*h + 2. Suppose -d = -o - 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 8. Suppose 0 = -w*v - 2*m, 2*m + 0 = 4*v - 12. Factor 8\/5*a + v*a**3 + 26\/5*a**2 - 8\/5.\nAnswer: 2*(a + 1)*(a + 2)*(5*a - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 580.730661 minutes in weeks?\nAnswer: 0.05761216875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add -205139427823 and 29.\nAnswer: -205139427794","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4 and 1759.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 28338701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -737.6 to the nearest ten.\nAnswer: -740","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 636 - 62 - 1751 + 246 + 8*c**3.\nAnswer: 8*c**3 - 931","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 1 j when two letters picked without replacement from zkzgjhd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 42*((-4)\/(-56) - (-5402)\/(-3108) - -1)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.6986873m?\nAnswer: 698687.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:53 PM and 1:55 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 8) to base 15.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j + j + 3*j)*(4 + 1 - 4) + (-1 + 0 - 1)*(-5*j + 2*j + 13*j).\nAnswer: -18*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((i*((i*i**(-1\/4))\/i)\/i)\/i)\/i)**(-46)*(i*i**(1\/3)*i)\/(i\/(i*i**(-2\/7))*i) assuming i is positive.\nAnswer: i**(4391\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -554.52226 - 1.10774. Let o = d - -556. Which is the second smallest value? (a) -0.1 (b) o (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -2*n, 3*n - 2 = -5. Put -2, 4, r in descending order.\nAnswer: 4, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 601953\/65 + -9261. Let v = -1\/65 + f. Let r = -8 + 23\/3. Put v, r, 4 in decreasing order.\nAnswer: 4, v, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 598.655 - 0.155. Let r = 805.36 - d. Let c = -205 + r. Round c to one decimal place.\nAnswer: 1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 8 = -4. What is the least common multiple of d and (-4)\/(-14) - 136\/(-14)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*h = -106685 + 109469 for h.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i + 6 + 14 = 0. Suppose -4*q + 0*r = -4*r - 36, -2*q + 11 = i*r. Find the first derivative of -2*z + 6 - 2 - 3 + q*z wrt z.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -282*r + 816. Is 18 a factor of b(-16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 2*u + 3*u, 0 = -z - u. What is the remainder when 3 is divided by z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-105)\/42*(-4)\/5. What is the second derivative of 215 - v - 108 + 51*v**2 + 98*v**m - 104 wrt v?\nAnswer: 298","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4 and 1744959.\nAnswer: 6979836","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 20 = 4*g. Suppose 7*f = -3*f. What is the derivative of g*u + 36 - 29 + f*u wrt u?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 15354*n + 175. Is g(2) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:51 AM and 3:51 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124680?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 3331464 = s + 2*g, -3*s + 9994431 = 4*g. Let y = -1981473 + s. What is y rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 70*m = -7*m. Solve m = -40*j - 41 - 39 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-120)\/(-16)*536\/36180\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12090 and 555.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - 3*k**4 + k**4 - k**4 - 9*k**4 - 5*k**4 + (-8 - k**2 + 8)*(0 + 0 - 2*k**2) - 9*k**4 - 19*k + 19*k + (3 - 2 - 3)*(-1 + 1 - 2*k**4).\nAnswer: -19*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -2*n + 10. Suppose -n = -v - v. Let x(d) = 573*d - 16039. Let i be x(28). Solve a - 2*w + 0*w = 1, 0 = v*a + 5*w - i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in one quarter of a tonne?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + sqrt(1539)*2 + -3 + sqrt(1539))**2.\nAnswer: -270*sqrt(19) + 69260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of s**7\/2520 - s**6\/144 - s**5\/20 + 3*s**4\/2 + 29*s. Let o(p) be the third derivative of u(p). Determine o(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -28391050*l - 14622. Let r(d) = 9708*d + 5. What is -5*f(n) - 14622*r(n)?\nAnswer: 4874*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 5 + 11 = 0. What is the third derivative of -3*n**2 + 8*n**4 - n**6 - z*n**4 wrt n?\nAnswer: -120*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/((-3)\/(-12) - 14\/(-8)). Let y(o) = -b*o + o + 5*o - 5*o. Let g(v) be the second derivative of 5*v**4\/12 + v. Calculate g(y(k)).\nAnswer: 5*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(245) + 0 + -2 - (sqrt(245) + 6*(1 + sqrt(245) - sqrt(245)))))**2*5.\nAnswer: 605","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = m - 8, 2*m - 3*d - 15 - 6 = 0. Suppose m*l = 7*l - 4. Let s be (-3)\/(-9) - (-5)\/3. What is the third smallest value in l, s, -2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -712, -713, -714, -715?\n\"Answer: -x - 711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -9\/5? (a) -5 (b) 0.1 (c) 0.4 (d) -1.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*o + 9568982 - 9568982.\nAnswer: 29*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2 - 7*y + 6. Let h be a(10). Find the third derivative of 64*s**6 - h*s**6 + 4*s**2 - 14*s**2 - 39*s**6 wrt s.\nAnswer: -1320*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-56)\/51*(-53)\/(-583) + (-442)\/(-7293).\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -645 + -47?\nAnswer: -692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 2*c - 3)*(c - c + 3*c)*(6*c**3 + 8*c**3 - 7*c**3).\nAnswer: -42*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 36?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - (3 + (1 - -1)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*v - x + 20, -2*x + 8 = 0. Let t be v + -12 - (4 - 1). Let z = t + 40. What is the highest common divisor of 3 and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42642310 a multiple of 298?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 67397?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 3.8. Let y = 9.275 + 9.725. Sort -2\/3, l, y, 1\/6 in descending order.\nAnswer: y, 1\/6, l, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -5*m - 0*z - 139, 5*m - 2*z = -136. Let p be (-3)\/6 - m\/4. Calculate the highest common factor of p and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:13 PM and 11:15 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3290045 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccp when three letters picked without replacement from {p: 2, c: 18}?\nAnswer: 17\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 38 - -157. Is 15 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/((-1 - 2)\/(-24)). Suppose r*y = 3*y + 10. Suppose 3*a = -y*a. Solve 0 = -5*m - a*m - 10 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31471110 by -126390.\nAnswer: -249","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 25*d**4 + 18*d**4 - 32*d**4 + (-1 - 1 + 3)*(-d**4 + 3*d**4 + 0*d**4) in the form j*d + n*d**3 + a*d**2 + k + h*d**4 and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 4 (b) -17 (c) -5909\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 232633217 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.0551 (b) 1\/34 (c) -58\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 12679259, 12679256, 12679253?\nAnswer: 12679250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -10\/385163 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.366729288 rounded to four decimal places?\nAnswer: -0.3667","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 t and 2 x when four letters picked without replacement from {t: 2, x: 3, q: 10}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**2 + 5*l - 15. Determine h(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-28)\/(-6)*12\/14. Let l = 33 - 35. Let h be 4\/(-72)*(-2)\/(-1)*l. What is the closest to v in h, -5, -2\/5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 - 2110?\nAnswer: -2112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l + 4*l + 0*l.\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 321 is divided by 16.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1091053 or 5?\nAnswer: 1091053","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w - 5. What is j(3)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 1 + 1)*(6*p - 3*p - p) - 35 + 75 + 60*p - 42 as n*p + z and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - f - 43 = -2*g, -36 = -2*g - 3*f. What is the remainder when 58 is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 19520 is divided by 723.\nAnswer: 722","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 + 6)*(67*g**5 + 11*g**5 - 6*g**5) + 3*g**5 - 2*g**5 + 0*g**5.\nAnswer: 505*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the second derivative of z**4\/3 + z**3\/3 + z**2\/2 - 3*z. Let k be g(-1). Suppose 32 = k*y + f - 43, -y = -f - 21. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**(2\/15))\/v)\/(v\/(v\/(v**5*v))*v))\/(v**(2\/7))**(-35)*v\/(v*v**(1\/5))*v\/v**(1\/2)*(v\/v**(-1\/4))**(-1\/50) assuming v is positive.\nAnswer: v**(409\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -96142 - 7462943\nAnswer: -7559085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the third derivative of -r**7\/210 + r**6\/40 + r**5\/20 - 7*r**4\/24 - r**3 + 957*r**2. Factor a(t).\nAnswer: -(t - 3)*(t - 2)*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -8\/9*i + 2\/9*i**2 + 2\/3 = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the third derivative of c**6\/2160 - c**3\/6 + 4*c**2. Let n(x) be the first derivative of u(x). Factor n(r).\nAnswer: r**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -7*(-1 + ((-12)\/(-28))\/3). Suppose w*v - 1368 = 2*v. Let t = v + -131. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 23425 + -1?\nAnswer: 23424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -55 in -22, 0.2, 0.594, 0.5?\nAnswer: -22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5216 and 4128?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.22 and 3.\nAnswer: 0.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = -a**3 + a**2 - a + 1. Let h(t) = -4*t**3 - 3*t**2 - 14*t + 3. Let n(u) = -h(u) + 5*p(u). Let b be n(9). Find r such that -1\/2*r**b - 2*r - 2 = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 19 + 33 = -4*y, -3*c = 3*y - 96. Let u = -36 + c. Let p be (u - 39\/8) + 5. What is the nearest to 1\/3 in p, 11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -821739 + 1791739. Round h to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pttppp. What is prob of picking 3 p?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 17.2 - 19.2. Which is the closest to 1? (a) 3\/4 (b) t (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - -5) + 5 + 3.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*y + 61*y - 9078 = 0. Calculate the remainder when 539 is divided by y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 181204526 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -8*d**3 - 8*d**2 - 4*d + 9. Let t(h) = -3*h + 4. Let g(q) = q**3 + q**2 - q + 1. Let z(l) = -2*g(l) + t(l). What is -2*x(i) + 9*z(i)?\nAnswer: -2*i**3 - 2*i**2 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -5. Let y = z + 7. Let i = 2.5 + -3. Which is the smallest value? (a) i (b) 0 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -g**3 + 3*g**2 - 1. Let z(h) = h**2 - 4*h + 3. What is the least common multiple of z(5) and j(1)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57799?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 124*f**2 + 68*f - 11. Calculate the lowest common multiple of 81 and i(2).\nAnswer: 1863","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3578588?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -44 + 39 - 10*o + 17 in the form d*o + k and give k.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -4*u**2 - u**2 + u**2. Let q = -12 - -16. Let o(h) = -6 - q*h**2 + 16 - 10. Determine b(o(g)).\nAnswer: -64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + u - u)*(9 - 3233*u + 8 + 3228*u).\nAnswer: -5*u**4 + 17*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 2*y = 0, -2*y + 0*y - 6 = 0. Let l = 4687 + -4682. Solve 3*q - 2*i - 10 = -a*i, 4*q - l*i = 26 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3442 (base 10) in base 14?\nAnswer: 137c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -115 = -s - 22*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.4 + -0.4. Let m = f + 4.109. Round m to 2 decimal places.\nAnswer: 0.31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 385 and 5940?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -23*h**3*q**3 + 2282*h**3*q**2 + 2*h**3 + 26*h**2*q**3 wrt q.\nAnswer: -138*h**3 + 156*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o**2. Let p(k) = -2223650563*k. Determine m(p(f)).\nAnswer: 4944621826330216969*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.711887 to two decimal places.\nAnswer: -4.71","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -2 (b) -4 (c) 1\/40 (d) -0.11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 371 and 106?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 817 + -1033. Let z = -5369110.99826 - -5368895. Let k = z - o. Round k to 4 decimal places.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 192\/43 + -619\/129. Let n = -0.9 + 1. What is the nearest to s in n, -3\/7, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-7) + 24\/14. Suppose x - 4 = p*x. Let w be 1\/x - (-9)\/(-12). Is w greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.352*-0.1156.\nAnswer: 0.0406912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -8*y + 3. Let i be d(-5). Suppose -9*o + 1632 + 1077 = 0. What is the highest common factor of i and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 - 71 = 3*w, -17 = -4*m + w. Let o be (-8 - -362)\/6 - m. What is the highest common divisor of o and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the second derivative of 11*w**7\/280 + 7*w**4\/6 - 11*w**3\/2 + 2*w. Let h(b) be the second derivative of j(b). What is the derivative of h(t) wrt t?\nAnswer: 99*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2163 and 24?\nAnswer: 17304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -8 - 5*(-21)\/35.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -313 + 319. Solve h - m*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -18*n - 27. Let j(g) = -231*g + 12. Let t(k) = -212*k + 11. Let z(c) = 11*j(c) - 12*t(c). Calculate x(z(u)).\nAnswer: -54*u - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -2*f**2 - 8*f + 758. Calculate l(21).\nAnswer: -292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -915 + 3998437.26268?\nAnswer: 3997522.26268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1457277 is divided by 276?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = -3*b + 13, 3*b + 68*l = 72*l + 25. Suppose -t + 9 = -m, -3*t + 4*t = -m + 9. Solve -b*g + 6*g = -t for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 4}. Give prob of sequence ww.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12*h + 20*h - 120. Is h at most 12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4848\/2064 + (-154)\/66\nAnswer: 2\/129","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i + 2. Let w be d(-14). Let h = w - -408\/5. Let l = -501 + 503. What is the closest to 0 in h, -1\/2, l?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/3 + 356*w - 1074.\nAnswer: 2*(w - 3)*(w + 537)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0 + 1\/75*k**5 - 1\/2*k**3 + 3*k + 0*k**2 - 1\/15*k**4 - 1\/900*k**6. Let c(b) be the second derivative of j(b). Factor c(y).\nAnswer: -2*(y - 2)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 4, 2 = -z + 5*z + 5*v. Suppose 80 = z*r - 346. Is 35 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 = 3*k + 5*w - 83, 5*k - 3*w = 228. Let v be 8\/6*k\/32. Solve 0*t - c - v = t, 0 = 5*t - 5*c - 30 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 370337 rounded to the nearest one thousand?\nAnswer: 370000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -401 + 23040143?\nAnswer: 23034242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 + k**3 - 192*k - 3*k**3 - 20*k**2.\nAnswer: -2*k**3 - 192*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 4*q**2 + q. Suppose 4*t - 15 = -4*y + 9, -t - 3*y = -16. Calculate o(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2748 + -1173?\nAnswer: 1565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 24\/9 - (-45)\/(-15). Let q = 0.251 + -0.551. Sort -23, q, i in decreasing order.\nAnswer: q, i, -23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-152)\/6 - (-1)\/3. Let g be 62\/1 + 32\/(-8). Let x = n + g. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3.2, 1, 0.786, 0, -0.1, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 3*t - 2*t = -1332, 4*c - 2*t - 5438 = 0. Let k = c - 934. What are the prime factors of k?\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.823 + -2.523. Let i = 1640 + -1641. Let x = 3 + -5. Which is the nearest to -0.2? (a) q (b) i (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 710807072 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u**3\/11 + 98870*u**2\/11 - 1285648*u\/11 = 0 for u.\nAnswer: -49448, 0, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1107 = 5*l + 262. Suppose 0 = 2*w - 3*d - 163, 0 = -2*w - 0*d - 3*d + l. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1049 = 6*l + 3385. Let h = 1325 + l. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*n - 5*n - n.\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + b - 2*b**2 + 2 + 5*b + (2*b - 3*b - b)*(-3*b + 4*b - 3*b).\nAnswer: 2*b**2 + 2*b + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from wwwhh.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -26. Let h = z - -44. Suppose 0 = 5*i + 2*j - 90, -3*i + 4*j - 5*j + 53 = 0. Calculate the smallest common multiple of h and i.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 454 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - 5 - (-1 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 10 and -1565.\nAnswer: -1555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sys when three letters picked without replacement from {k: 6, s: 1, y: 1, v: 5, h: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 3075693530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 (base 10) in base 3?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 45 = -7*a. Let k = -7 + a. Let s(f) = 71*f + 3. Is s(k) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17*j*r*v**2 + 33*j*r + 4*j*v**2 - j*v - j - r*v**2 + 5*r + v**2 - 2*v wrt v.\nAnswer: -34*j*r + 8*j - 2*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -73855, -73861, -73869, -73879?\n\"Answer: -w**2 - 3*w - 73851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -5 (b) -56731 (c) -2\/15 (d) -717\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 3314 divide 346901573?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 - (-3 + 4) - (4 - 8). Let h(p) = -p + 5. Let y be h(l). Sort 2, y, 7 in decreasing order.\nAnswer: 7, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 82275972?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 318007 is divided by 413?\nAnswer: 410","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 70368 = -6*z + z, -3*v = z - 14089. What is the units digit of z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 2*h**2 - h**2)*(-86*h - 5*h**3 + 86*h) - 4*h**2 + 4*h**2 + 2*h**5.\nAnswer: 12*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes after 1:25 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4.66 + 0.34. Let f = 0 - -2. Let g = -2.1 + f. Which is the nearest to 1? (a) 3\/5 (b) g (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11690 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + o = -9, 91*o + 14 = g + 87*o for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3492 and 102906.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82 is divided by 55?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 7*p - 60 = 0. Is 5 a factor of (-10)\/(-2*(-4)\/p)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**3 + u - u + (8*u**2 - 3*u**2 + 10*u**2)*(2*u - u - 3*u) + 6*u**3 - u**3 - 3*u**3.\nAnswer: -29*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9784 - -14833. What is the hundreds digit of d?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3070, -2, -0.7, 71, -0.05?\nAnswer: -0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -209 - -210. Solve -s = -11*a + 10*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -141 - -109.\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 14cb0c (base 13) in base 9?\nAnswer: 862677","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*n + i - 9, 199*n = 202*n + 2*i - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x, 1 v, and 1 z when three letters picked without replacement from fxfmmrmmfmvz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u + 1. Let q(o) = -2*o**2 + 8*o - 4. Give 4*a(i) + q(i).\nAnswer: -2*i**2 + 12*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -8 + -10 + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = -3*s - 2*w + 4, s - 10 = 4*w. Let z = s + -9. Suppose y - z = 6. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/(-3 - (-2 + -3)). Suppose c*y - 28 = -24. Let b be y\/(-1) + (18 - 11). Solve -5*h - 20 = b for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 340 a factor of 176800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 less than -24820?\nAnswer: -24815","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q + 6 = -4 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -2 - (5 + -2 + -12 + 3). Solve -u*g - 10 - 2 = -4*w, -5*w - 4*g - 3 = 0 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -249677 times -0.4?\nAnswer: 99870.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-4\/5))**(11\/5)\/(g**(-4\/9))**39 assuming g is positive.\nAnswer: g**(1168\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5 - 1 + 3)*(1 - 4 + 2)*(67*j**2 + 50*j**2 - 158*j**2) to t*j**2 + m + d*j and give t.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.2 - -5.4. Which is the fourth smallest value? (a) v (b) 0.3 (c) 0 (d) 3\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32396032?\nAnswer: 2, 126547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -28 - 26288928145717.\nAnswer: -26288928145745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3413 + 3412.8. Which is the third smallest value? (a) 5 (b) -0.01 (c) -7 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - (15 - (15 + 52 - (-2 + -3)))?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x - 6. Let o be p(-6). Solve 5*w + 5*q = o, 3*w + 7 = -q + 1 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107508572?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590239 is divided by 1089.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*b - 9*b - 13*b - 12*b.\nAnswer: -24*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.9 - -8. What is the nearest to f in 3\/5, 1\/3, 4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.505 * -9\nAnswer: -4.545","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2388 + 2428. Calculate the greatest common factor of 18160 and h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 15*n + 957. Let p(h) = 13*h + 960. Calculate -9*p(t) + 8*v(t).\nAnswer: 3*t - 984","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19086 and 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 132 divide 118305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -3*p**3 + 9*p**2 - 12*p + 9. Let u = -4 + 2. Let g(n) = 3*n**3 - 18*n + 4*n + 27*n - 8 - 10*n**2. Let w(b) = u*x(b) - 3*g(b). Factor w(v).\nAnswer: -3*(v - 2)*(v - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 88475, 88476, 88479, 88484, 88491, 88500?\nAnswer: 88511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 5 + 17 = 0. Let c = -1 - d. Suppose 3*g = c*r + 143, 3*r = g - 25 - 25. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/981552 and 107\/107484?\nAnswer: 52022256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*k + 149 = 289. What is the smallest common multiple of k and 70?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 1:07 AM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -23\/2, -0.3, -5, -0.7, 0.1 in ascending order.\nAnswer: -23\/2, -5, -0.7, -0.3, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**3 + 12*m**2 - 14*m - 10. Suppose 5*j + 54 = d - 14, -4*j = -d + 55. What is the remainder when 7 is divided by c(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3098?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -468.6 to the nearest one hundred.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3*x - 7. Let b(w) = 7*w - 14. Let r(p) = -2*b(p) + 5*y(p). Let g be r(8). Let j be 2\/((-3)\/(1590\/g)). Round j to the nearest one hundred.\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 12 = -3*p, -4*p + 7 = 3*t - 4. Let d = t + 9. Solve 3*r + 5*b = 22, -3*r + 5*b - d = 22 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 106539\/6 + 21 + (-344)\/16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the first derivative of 6002*b**7\/7 + 4601*b**3\/3 + 1584. What is the third derivative of d(m) wrt m?\nAnswer: 720240*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -332660*v**2 + 38302*v + 2 wrt v.\nAnswer: -665320","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12883975 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/5? (a) -1\/8 (b) -1\/4 (c) -4 (d) 3\/5 (e) -890\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 12 = 0, 2*a + x - 2213 = a. Let y = a - 739. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 251*u + 491. Let s be j(-2). Sort 2, s, -31 in ascending order.\nAnswer: -31, s, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 34 (base 13) to base 15.\nAnswer: 2d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-42) - 1\/3. Let u be (12\/70)\/(((-1)\/14)\/(129\/774)). Which is the biggest value? (a) u (b) f (c) 9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1218 and 42.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1468 + -1464. Let z = -2.2 - -2.6. Put d, z, 5, 0 in increasing order.\nAnswer: 0, z, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1e7 + 0?\nAnswer: -1e7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2302107.\nAnswer: 3, 29, 47, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10299217 + 0*r - 14*r + 10299214 - 8*r + 2*r.\nAnswer: -20*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**3 + 55*s**2 - 95*s + 985. Determine b(-57).\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-94)\/(-611))\/(2\/13)*3\/(-3).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.06 (b) 1 (c) -2547\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from ggarrrrrrrgrrgargrr?\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 173360397 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) + (sqrt(56)\/sqrt(200) - sqrt(7)) - sqrt(70)\/sqrt(40)) + 5)*-5.\nAnswer: -25 + 3*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -5 + 134 + 1\/(-1). Let u = 263 - w. What is the highest common factor of 15 and u?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 (base 10) in base 13?\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1.6 (b) 0.3 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*p - 5*p + 0*p)*(14 + 18 - 7) in the form q*p + b and give q.\nAnswer: -225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 129870\/(-2220)*(1\/(-3))\/(1*(-3)\/12)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-31)\/31 - (0 + 2) - -5. Solve i*w + 32*c + 22 = 29*c, 0 = w - 5*c - 15 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -2*(2 + (-24)\/14). Let w = -0.63 + 0.6. Let l = -0.23 - w. Which is the nearest to -0.1? (a) g (b) l (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 551629 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -27970152 divided by 3496269\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 481 minutes before 7:41 PM?\nAnswer: 11:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 75*m - 60 = 65*m for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.1 (b) 0.05 (c) 1\/9 (d) -2\/15 (e) -11 (f) -212 (g) 2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 12 - (40 - 47).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 21. Let c(g) = g**3 + 12*g**2 + 12*g - 10. Let i be c(b). Calculate the greatest common divisor of 28 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*d**2 + 76*d**2 - 22*d**2 - 20*d**2 - 20*d**2 - 17*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = 21 - 5. Suppose -4*d + f = -12, -2*w - 4*d + 36 = 0. Solve -w - 7 = 3*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*b - 73 = -153 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*t + 38 = 20 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 129 + -264. Let f = 160 + y. Calculate the least common multiple of f and 3.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p + 8. Give o(12).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 3*k**2 - 42*k - 342. Let h be j(-7). Is 98 equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4.104*-0.49\nAnswer: 2.01096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*k = -267*k - 629 + 68 for k.\nAnswer: 51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 = 7*d - 13*d. Which is smaller: -1\/4 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -3*i**2. Let h(d) be the third derivative of 0*d**3 + 7\/12*d**4 + 0 + 7*d**2 + 0*d. What is f(h(m))?\nAnswer: -588*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -398 + 300 + (45 - 9).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in a**2 + 0*a**2 + 928*a + 789*a - 2 + 31*a + 6.\nAnswer: a**2 + 1748*a + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16.866 - -16.966. What is the second biggest value in -8, -1\/2, -3\/4, -2, l?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of p + 2*p**3 + 7*p - 6*p wrt p.\nAnswer: 12*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 2 - 2)*(-1030 + 1238*h + 1030) + 0*h - 5*h + 2*h + (0 + 5 - 3)*(-h + 0*h + 3*h).\nAnswer: 2477*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) be the first derivative of -2*j**3\/3 + 1. Let i(d) be the third derivative of d**5\/30 + 5*d**2. Determine g(i(n)).\nAnswer: -8*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -8220)*(-4)\/(7 - 3). Let j be 2*g\/(-2) + 2 + 1. Suppose -2*s + 0*s + j = 0. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p - 252 = -6*p. Let v = p - -65. Suppose -4*j - 28 = -4*c, -2*j + 23 = v*c - j. Calculate the highest common divisor of c and 130.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 310947 is divided by 22.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -3069 bigger than -3069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 754 + 2121. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*f*z**3 - f*z**2 - 2*f - 964*z**3 - 7*z**2 wrt z.\nAnswer: 12*f - 5784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 44970 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/20*2 - (-5724)\/8 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 619 and 734 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 87196435301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1.22 - 1.22. Let j(s) = s**3 + 7*s**2 + 6*s + 5. Let f be j(-6). Let b be (-3 - f\/3)*21\/(-56). Sort b, 1\/7, i, 0.3 in ascending order.\nAnswer: i, 1\/7, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -295046\/489 less than -602?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from ssgwswgwgwuws.\nAnswer: 10\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 3*j + 2. Let h be d(2). Suppose 0 = -h*l + 3*l + t + 14, -4*l + 5*t = -28. Solve l*y + 6 = -0*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/180 and -133\/30?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes after 10:17 AM?\nAnswer: 11:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -8.1 + 3.05. Let j = -0.05 - s. Put 4, j, -1, -0.1 in decreasing order.\nAnswer: j, 4, -0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the first derivative of s**4\/4 + s**3\/3 + s**2\/2 + 10. Let f(x) = x**3 + 5*x**2 + 5*x + 2. Let q(j) = -2*f(j) - 2*t(j). Factor q(i).\nAnswer: -4*(i + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3750940.\nAnswer: 2, 5, 187547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 505.3 - 505. Put -4, i, 1\/3 in descending order.\nAnswer: 1\/3, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/20*17\/(-170)*-25?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7192?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3728)\/12*(7 - 10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes after 5:24 PM?\nAnswer: 9:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1083712009 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 25762005179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -3*v + 104. Suppose 3*m = -4*t - t + 17, 0 = -5*t - 5*m + v. Which is bigger: t or 3\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -5*4\/80*(0 + -4). Let n(i) = 559*i - 50. Is 12 a factor of n(k)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -271.16 + 0.16. Let a = -271.0278 - v. What is a rounded to three decimal places?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -76985*t**2 - 15*t + 11. Let l(m) = -19246*m**2 - 4*m + 3. Let o(k) = -22*l(k) + 6*x(k). Let d be o(1). Round d to the nearest 1000.\nAnswer: -39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -2*x + 13. Let p(v) = -2*v + 13. Determine -4*f(b) + 3*p(b).\nAnswer: 2*b - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -4 - 9\/((-9)\/8). Suppose -6*o - 3*m = -11*o + 6, 0 = -4*o - 2*m - a. Factor -1\/2*t**3 - 1\/2*t**2 + 0*t + o.\nAnswer: -t**2*(t + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*z - 5*z**2 + 15*z)*(-2*z**2 + 2*z**2 - z**2)*(z - 2*z + 0*z).\nAnswer: -5*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:21 PM and 12:20 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 2*g**3 + 149*g**2 - 388*g - 374. What is v(-77)?\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddddddd. What is prob of sequence dddd?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b - 6 = b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.027 to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lcpplclpbli. Give prob of picking 2 c, 1 l, and 1 i.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q + 4 = 0, 1575 = 5*f - 3*q + 1562. Solve 0 = f*c - g - 18, -49 + 61 = -c - 5*g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.394819ml to litres.\nAnswer: 0.000394819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 79510?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000283332448 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -23472*i**3 + 3912*i + 7824. Let g(u) = 7*u**3 - u - 2. Give -3*f(o) - 11736*g(o).\nAnswer: -11736*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 5*x + 7*x + 0*x - 3*x. Let y(a) be the third derivative of -a**4\/8 - a**2. Give y(p(o)).\nAnswer: -6*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 32713683 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(6*(sqrt(2448) + -2) + -2 + -3 + sqrt(2448) + sqrt(2448) - (-1 + (1 + sqrt(2448))*3 + -4)))**2.\nAnswer: -64800*sqrt(17) + 2211300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 711704.\nAnswer: 2, 7, 71, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0.05*13.53\nAnswer: 0.6765","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 256.\nAnswer: 1280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11100110022 + -1102?\nAnswer: 11100101220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -l**6\/20 + 7*l**5\/10 + 149*l**4\/24 - 35*l**3\/6 - 26*l**2 - 1944*l. Suppose j(r) = 0. Calculate r.\nAnswer: -4, -2\/3, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*a - a**2 + 2*a + (50 + 79 - 5)*(0*a**2 + a**2 + 0*a**2) to j*a**2 + x*a + p and give j.\nAnswer: 123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301?\nAnswer: 7, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 235.3 + -236. Which is smaller: -0.5 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.7 + -34.699997893. What is y rounded to 7 dps?\nAnswer: 0.0000021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-14)\/4*24\/(-14). Suppose 0*p = -p + l. Suppose 120 = -2*v + p*v. Is 15 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.432 - 0.13\nAnswer: -0.562","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1851574187?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 47381289 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 + 0*r**2 - 2*r**2)*(3 - 3 - 3)*((4 + 2 - 4)*(-3*r**2 + 0*r**2 + 5*r**2) + 17*r - 12*r - 7*r - 7*r**2).\nAnswer: 9*r**4 + 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5*o - 50 = 0, -3*f - 6 + 16 = o. Solve 3*g = -f + 11 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 945 - 617. Let m = 495 - n. Calculate the remainder when m is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3 + 1465\/7 - 2\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/7))**29)**(-14\/5) assuming s is positive.\nAnswer: s**(-116\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is cbd8 (base 14) in base 6?\nAnswer: 431150","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1994 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) be the second derivative of i**7\/21 - i**6\/15 - 8*i**5\/5 + 8*i**4\/3 - 6*i + 25. Determine v, given that w(v) = 0.\nAnswer: -4, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - -5.903.\nAnswer: 6.003","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (147 + 139*r**2 - 147)*(-2*r - 4*r - 2 + 4*r - 3*r**2) as x*r**4 + m + i*r**3 + d*r**2 + q*r and give i.\nAnswer: -278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 22, -3, 3, 5, -25, -1 in descending order.\nAnswer: 22, 5, 3, -1, -3, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-412 + 388 - (-3 + -2)) + -1.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (99\/297)\/(3\/2).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(171) - ((-3*(sqrt(171) + 3 + sqrt(171)))**2 - sqrt(171))) - ((0 + sqrt(171))**2 + -2 - -2*sqrt(171)*-4).\nAnswer: 660*sqrt(19) + 12305","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 12\/687 - (2 + -2). Let s = 719\/1832 - g. Which is the second smallest value? (a) -2\/3 (b) 5 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1935881 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -448, -896, -1342, -1786?\n\"Answer: w**2 - 451*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -666102*x + 666113*x - 286 = 0 for x.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.005416718 to four decimal places.\nAnswer: 0.0054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 1 + 0)*(-11*f**2 + 10*f**2 + 24*f**2)*(3*f**2 - 3*f**2 - 2*f**2) + (1 + 2*f**3 - 1)*(2*f + 0*f - 3*f).\nAnswer: -94*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 8*t**3 - 5*t**2 + 2*t + 5. Let d(s) be the third derivative of -s**6\/15 + s**5\/10 - s**4\/8 - s**3 + 13*s**2 + 122. Calculate 5*d(b) + 6*v(b).\nAnswer: 8*b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.5 + 3. Let h = 8.56 - 8.36. Which is the second smallest value? (a) h (b) r (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -49*q**3 - q**2 + q - 4. Let c be y(-3). Let d(f) = -f**2 + 7*f + 5. Let g be d(7). Suppose g*r - h - h = c, h = 3*r - 785. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 2*f - 28. What is the lowest common multiple of q(17) and 21?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3179648658 to the power of 1\/2, to the nearest integer?\nAnswer: 56388","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in eighteen fifths of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1122 at most as big as 1123?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 2*h + 3*h. Let c be -1*((7 - 6) + 5). Which is smaller: c or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2850\/(-190))\/(8\/3)*2\/6.\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 0 + (1 - (1 - 4))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -35 + 5. Is 28*-3*i\/36 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1746, -2604, -1736, 1722, 8634, 19864, 36276?\nAnswer: 58734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - b + 7 = 4*i, -3*i + 24 = -4*b. Solve -5*u + 15 = 0, 27 = -5*p + i*u - 0*u for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 284*o - 287*o + z - 10 = 0, 5*z - 8 = o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/312994 and 43\/2308938?\nAnswer: 1041331038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 22 (b) -2 (c) 14569\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6023?\nAnswer: 19, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 833 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2693883?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 33861 - 33860.999992107. Round m to six dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 + -6.566?\nAnswer: -6.866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 5 = 11 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 63743 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q - 2. Let p(k) = -3123*k + 4164. Calculate 2082*n(i) + p(i).\nAnswer: -1041*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 237 take away -0.3?\nAnswer: 237.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3234.1 + 3234. What is the third smallest value in 4, n, -2, -0.66?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (o + 2*o - o)*(-2922*o + 11757*o + 17824*o + 1183*o + 1 - 1) to t*o**2 + f*o + r and give t.\nAnswer: 55684","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c\/c**(-11))\/c*c*c*c)**3)**(7\/6) assuming c is positive.\nAnswer: c**56","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -563933 - -843933. Round o to the nearest ten thousand.\nAnswer: 280000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 7*c**2 - 2*c. Let a be g(1). Find the third derivative of 26*t**2 + 12*t**a + 33*t**5 + 9*t**3 - 47*t**5 wrt t.\nAnswer: -120*t**2 + 54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4880 + 4886.014. What is p rounded to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 323018197?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 + 100221222021222201?\nAnswer: 100221222021222220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11 and 14177.\nAnswer: 155947","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*u = -109 - 191. Let m be 114\/u + -2 + -1. What is the fourth biggest value in 0.4, -5, m, -0.1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of 131*g**3\/3 + 264. Let c(v) = -v**2. Give c(q(w)).\nAnswer: -17161*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + -7 + 23 + -7 - 15) + 26?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14\/(-18) + 14\/(-63). What are the prime factors of (z + -2)\/((-3)\/47)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 - -1022?\nAnswer: 212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 143 = 5*x. Let g = x - 21. What are the prime factors of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8225418 to the nearest integer?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(-3 + 3*-2*sqrt(2)) + (-4*(sqrt(800) - (sqrt(800)*5 + sqrt(800))))**2.\nAnswer: -6*sqrt(2) + 319997","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 14 + 4 = 0. Let u(n) be the third derivative of -5*n**2 + 0 - 1\/24*n**4 + 1\/3*n**3 + 0*n + 1\/60*n**5. Determine u(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 4*n, 0*w + 4*w - 2*n = -2. Suppose w*f + 4 - 63 = 3*s, 0 = 5*s + 2*f + 109. Let x = 58 + s. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*p - 24 - 32. Solve -3*b = 2*g, -3*g + g = 5*b - p for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 21 + -24. Let s be (-1)\/t*(12 - 0). Suppose -23 - 30 = -w - s*h, 0 = -5*w - 5*h + 280. What are the prime factors of w?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 17*d - 31 - 32*d + 19*d in the form z + r*d and give z.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05 and -140.1145.\nAnswer: -140.0645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-5\/3)\/(c**(-2\/3)*c))\/(c**0)**(-2\/95)*((c**(-2)*c)\/(c\/c**(2\/11)))**47 assuming c is positive.\nAnswer: c**(-962\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dlk when three letters picked without replacement from nvlbdkd?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 245191?\nAnswer: 17, 14423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -4*o - 116, 10*d = 3*o - 60 + 98 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-6 - -1)\/(-15)*(6 + -5 + -4). Does u = 7\/786?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 953?\nAnswer: 4765","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3c8580 (base 14) to base 4.\nAnswer: 20000011210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16949 times -1.7\nAnswer: -28813.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n - 2. Let a be l(-2). Suppose -2 + 4 = y. Let h be (-1)\/(y\/20*2). Put h, a, 2 in ascending order.\nAnswer: h, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*3\/(-2)*((-1275)\/150)\/((-2737)\/14)?\nAnswer: -3\/46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -64 - -23. Let a = z + 38. What is the smallest value in 0.2, -5\/4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 10:43 PM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1473, -1812, -2385, -3192, -4233, -5508, -7017?\n\"Answer: -117*o**2 + 12*o - 1368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 13551*r**2 - 15309240*r - 15295692.\nAnswer: -3*(r + 1)*(r + 2258)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -11100011 (base 2) to base 3\nAnswer: -22102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 55 and 110?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 266 and 114?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5\/2 (b) 1\/5 (c) 3 (d) 4 (e) 9.4 (f) -0.1 (g) -171\/5\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (-10 + 4 - -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -10311 + 13120233?\nAnswer: 13103322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 PM and 8:29 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 14, 36, 60, 86, 114, 144?\nAnswer: 176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z + 156*n = 149*n - 5, 0 = -z - n + 1 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -461, -466, -471?\nAnswer: -476","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -o - z, -4*o + 14 = -0*o + 2*z. What is the closest to -0.1 in 0.2, -0.5, o?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/((((y\/y**(-1))\/y)\/y)\/y))\/(y\/(y\/(y*(y**(3\/25)\/y)\/y*y))) assuming y is positive.\nAnswer: y**(47\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 135 divide 108207?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1603874484.\nAnswer: 2, 3, 2141, 20809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -cc25 (base 14) to base 7.\nAnswer: -204645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q + i + 11, 5*q - 30 = -2*i + 7*i. Factor -92*r**5 - 10*r**3 + 2*r**4 + 22*r**q - 57*r**4.\nAnswer: -5*r**3*(2*r + 1)*(7*r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -764 + 7673 + 11710 = 2110*k - 2481 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11101 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 7258655619?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147) + 1 + sqrt(147) + sqrt(147) - sqrt(147))*-2)**2*1 + 3 + (1 + sqrt(147))**2 + -1 + (1*sqrt(147) + sqrt(147))**2.\nAnswer: 126*sqrt(3) + 3094","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -134, -140, -146?\nAnswer: -152","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*h*n - 6*h + 150*n - 2 wrt h.\nAnswer: 46*n - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m - t - 19 = 0, -21*m + 3*t + 24 = -20*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 2)*(-974 - 60*i**4 + 974).\nAnswer: 240*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h. Suppose -f - 41 = -42. Let d(v) = 3*v. Let l(c) = f*d(c) + 2*k(c). Let j(t) = 29*t. Calculate j(l(u)).\nAnswer: 29*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**2 + 9*l + 15. Let q be c(10). Suppose -r - 4*v - 136 = -q*r, 0 = 2*r + 3*v - 93. Is r a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17.03392*-0.19\nAnswer: -3.2364448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -373.3 times -0.08643?\nAnswer: 32.264319","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dol when three letters picked without replacement from {l: 2, d: 1, o: 5, a: 3, b: 5}.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(27)\/sqrt(3)*6)\/(sqrt(3) + (sqrt(300) - sqrt(300)*1)).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 153*o + 153*o - 3*o**3 - 462*o + 156*o.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -101 - 4. Let z = u - -265. Suppose -17 = -x + 5*a + 13, -3*x + a = -z. Does 7 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/8069090 and -72\/28241815.\nAnswer: 56483630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -3 - 141013?\nAnswer: -141020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3.9 * 20.3.\nAnswer: -79.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Suppose -3*k + 13 = -11. Suppose -4*j + k = -3*i, -2*j + 3 = -3*i + 5. Solve -3*r = -2*b - 4*r + 15, -b = -g*r + j for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -21*s + 45*s - 48 - 63*s**2 - 61*s**2 - 11*s**2 - 16*s. Let t be d(26). Round t to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10937283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 365*m**2 - 121920*m + 3340.\nAnswer: 5*(m - 334)*(73*m - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-1)\/28). Let i be -4*(-1 + 0)*-2. Let c = t + i. Is c a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 25*v - 1428. Calculate m(56).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -3 - -12?\nAnswer: d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: ((-26)\/(-3) + -10)*(-3)\/(-14)\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 - ((29 - -3) + 7)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 11. Determine h(-8).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0 (b) -8 (c) -5 (d) 180\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6638 - -13141. What is the hundreds digit of k?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 times 43062?\nAnswer: 6200928","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 21\/4 (b) -0.4 (c) -1\/2 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 2*t - 19 = 2*t, 33 = 3*l - 4*t. Calculate the remainder when 32 is divided by l.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*o**5*t + o**4*t + 10*o**3*t + 90*o**2*t + 2*t wrt o?\nAnswer: -180*o**2*t + 24*o*t + 60*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1240 - -11158\/9. Which is the closest to 10? (a) -2\/7 (b) -3 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1502*f + 79761 + 98558 = -1602*f + 10703 for f.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.8 - -2.8. Let l = -25\/266 - -51521\/532. Is l less than or equal to n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.005621066 - 0.775621556. Let t = y - -0.77. What is t rounded to 7 dps?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the first derivative of -m**3\/3 + 5*m**2 - 15*m + 27. Let z be j(7). Find the third derivative of 9*c**2 - 3*c**3 + z*c**3 - 2*c**3 + c**2 wrt c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-1)*26\/(-234).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 2. Let n = -6.3 - -10. Let c = 4 - n. What is the biggest value in 2\/17, s, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j + 9. Let n be v(5). Let u = 44 + n. What is b in -b**4 + 12 - b**u + 3*b**3 - 12 - b**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*z + 8. Suppose 6 = -5*d + 31. Suppose -d*x + 175 = -z. Is x a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -137185776 by -5716074.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/4)\/(4\/(64\/12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-80)\/(-14)*1*(-1)\/2. Let g = u + 46\/21. Which is the third biggest value? (a) g (b) -0.5 (c) 1\/14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 278968 is divided by 64.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*y - 40 - 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/37)*l*l)**(-12\/13)*(l**(-2))**(19\/4) assuming l is positive.\nAnswer: l**(-11755\/962)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 194 a factor of 4516236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 - -1 - ((7 - 14) + 13)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1063\/22 + 97\/2. Which is the second biggest value? (a) -3 (b) -0.5 (c) s (d) 5\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 12 = -x, 4*x - 3*p = 3*x + 17. Suppose -2*o = -v + x*o - 5, v + 5*o - 31 = 0. What is the first derivative of -124 + 103 + 12*m + v*m wrt m?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-31)*r)\/r*((((r\/(r\/r**15))\/r)\/r)\/r)\/r)\/(r*r**(4\/19)*r**32*r) assuming r is positive.\nAnswer: r**(-992\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 4*c**2. Let y(m) = 34*m**2 - 43. Give y(h(q)).\nAnswer: 544*q**4 - 43","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -48*u**2 + 3202*u - 6407. Give i(2).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3271, 3264, 3245, 3208, 3147, 3056, 2929, 2760?\n\"Answer: -u**3 + 3272","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8892427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + f = -3*p + 39, 66 = 5*p - 2*f. Let h be (p\/(-56))\/(18\/8). Let m = -5.92 - -0.92. What is the second biggest value in m, h, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -67.8 + -43833887944.\nAnswer: -43833888011.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001 (base 6) in base 4?\nAnswer: 12301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes before 4:51 PM?\nAnswer: 8:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*v + 48*v - 45 = 0. Solve 8 = 4*u, -2*a - v*u = -6*u for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -4, 1983 in decreasing order.\nAnswer: 1983, 5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g - 594 - 183. Suppose 76 = -3*j + j. Which is smaller: j or g?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 8*m**3 - 4*m**2 + 3*m. Let i(k) = 2*k**2 + 3*k. Let l be i(-2). Calculate the remainder when u(l) is divided by 19.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**2 + 7*f - 6. Let w be s(-7). Let n be 1\/(-5) + (4 - w\/(-30)). Which is the closest to 1? (a) 5 (b) n (c) -7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*u + 41*u - u**4 + 17*u**2 - 19*u**2 + 2*u**4 as s*u + n + g*u**4 + p*u**2 + w*u**3 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1539)*4*-5 + (sqrt(1539)*3*-3 - sqrt(1539)))**2*5 + 3)*-1.\nAnswer: -6925503","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 = 3*y + 5*h, 5*h + 367 = 5*y + 27. Calculate the common denominator of ((-14)\/40)\/7*(y + 1) and -49\/16.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/20)\/(-4*15\/(-50))?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18 - -19. Let g be 6\/(-8) - (2 + -2). Which is the closest to t? (a) -0.1 (b) g (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 214.83 - 0.83. Let h = -212.45825608 + -1.54150992. Let t = g + h. Round t to 5 decimal places.\nAnswer: 0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cxcc when four letters picked without replacement from {x: 3, c: 8}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 250 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 907\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 737 a factor of 833023558?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 0 + 1 + -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t = -t - 10. Let l be t + 6 - (1 - 2). Suppose -5*c + 0*c + 450 = -l*w, 3*c = -3*w + 252. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15)*(-300)\/90?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -10*q - 11 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 105 = -3*j, -r = 2*j - 66 - 3. Let o = j + -13. Calculate the smallest common multiple of 12 and o.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -28*b**3 - 168*b**2 + 22*b + 96. Calculate m(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15286 divided by 2\nAnswer: -7643","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -2*h**2 - 3*h + 4. Let f be w(-3). Let i = -2.1 + 0.1. Let c = -0.53 + 0.03. Put c, f, i in descending order.\nAnswer: c, i, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p**(-2)*p)\/(p*p**(1\/2)\/p))\/(p**(2\/3))**(-1\/23))**39)**(-26) assuming p is positive.\nAnswer: p**(34307\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1 + -332110?\nAnswer: -332104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**4\/12 + 2*g**2. Let k(w) be the second derivative of -w**4\/2 - 3*w. Give z(k(h)).\nAnswer: -12*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - -8 - 3) + 1. Suppose 60 = w*f + f. What is the greatest common divisor of 3 and f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5705517 is divided by 25.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.54 + -19.46. Let t = 20.4 + f. Which is the third biggest value? (a) 0.031 (b) 4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-442)\/(-170) - (972\/(-90))\/(-3)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0*3\/9)\/(-2). Which is the closest to q? (a) -4 (b) -5 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f + 2*i + 2 = 0, 4*i = 3*f + 5 + 5 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iyr when three letters picked without replacement from ppixxrprrpypippxir.\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -39*p**4 - 6*p**2 - 794*p wrt p?\nAnswer: -468*p**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = y - 22, -73 = -5*y + w + 85. Let c = y - 36. Let j be 0 - (2 - -1) - c. Solve 3*t = -5*d - 7, 0 = 5*t + j*d + 25 - 7 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6363571m to centimeters.\nAnswer: 63.63571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 9*a**3 - 10*a**2 + 2*a - 4. Let n(d) = -5*d**3 + 5*d**2 - d + 2. What is 4*l(i) + 7*n(i)?\nAnswer: i**3 - 5*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -4*s - 54. Let y be t(-15). Solve -2 - 2 = -5*k + 2*l, -y = -2*l for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5 - 1) + (256 - 249).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0102297 to 5 dps.\nAnswer: 0.01023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2000 + 20110?\nAnswer: 11110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 209720500?\nAnswer: 2, 5, 11, 17, 2243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-112)\/(-6))\/(176\/(-36) - -5). Let u be (-2)\/4 - (-132)\/j. Let l = -5 - 0. Which is the nearest to u? (a) 0.3 (b) 5 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 12) in base 10?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23380, -23297, -23204, -23095, -22964?\nAnswer: -22805","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-5)\/(-1))\/(-5) + 3. Suppose o*k - 9 = -1. Solve k*s + 3 = s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 56 = -20*d. Suppose -5*g + g + 1164 = 2*i, 0 = -5*g + d*i + 1429. What is the hundreds digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*b**4 + b**4 + b**4)*(-1 + 18 - 17 - 224*b).\nAnswer: -896*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*d**2 - 2*d + 10*d**2 + 9*d + d**2.\nAnswer: -9*d**2 + 7*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-1)*5\/(-90)?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 289 - 202. What is the units digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 17105 and 33.\nAnswer: 51315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q - 23 = 27. Solve -q*p = 1 - 16 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = x + 28. Suppose -q + 7 + x = 0. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5b728 + -4c?\nAnswer: 5b6dc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 9407 and 690.\nAnswer: 282210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 322 + -224. What is the tens digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 11:36 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -49*f**2 - 123 + 4*f - 116 - 6*f + 237 to p*f**2 + y + t*f and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 29540 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 16980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -71 + 77. Suppose 7 = a*x - 35. Suppose 0 = -14*o + x*o + 175. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 265*k**3 - k + 1282?\nAnswer: 795*k**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -18*h**2 + 26*h - 84. Let l(o) = 27*o**2 - 42*o + 126. What is 5*l(q) + 8*y(q)?\nAnswer: -9*q**2 - 2*q - 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - (2 - -1)) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 5*j - 10 = 0, -5 = -z - 0*j - 2*j. Suppose -4*m = 5*a - z*a + 48, 82 = -3*a + 4*m. Is a at most as big as -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -612, -1223, -1834, -2445, -3056, -3667?\nAnswer: -4278","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 422?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-90)\/54 + (-3)\/(-9)\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(12\/5))**(1\/14) assuming r is positive.\nAnswer: r**(6\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -209336 - -414908. Suppose 0 = -s - 1005572 + u. What is s rounded to the nearest 1000000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 614 - 618. Which is the closest to 0? (a) -22 (b) 1 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0833 - -3.3067. Round s to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (-6 + 5 - 0) - -6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -122, -259, -396, -533, -670?\nAnswer: -807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 8 = 3*b. Let x(l) = 3*l - 4. Calculate the lowest common multiple of x(b) and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 AM and 11:45 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1950 - -903. Is 10 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -9*a**3 + 204*a**2 - 6*a. Let s(y) = 28*y**3 - 817*y**2 + 22*y. What is 4*s(i) + 15*z(i)?\nAnswer: -23*i**3 - 208*i**2 - 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - a + (-4*a - a + 4*a)*(-2 - 1 + 1) + (-3 + 2 - 5)*(0 + a + 0).\nAnswer: -5*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 - s**2 + 4*s + 1. Let n be 2\/((-14)\/4 + 3). What is the units digit of d(n)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4)\/6*6\/4. Let u be -2*(0 - l) - 368. Round u to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13\/(-3) + (-147)\/(-35) + (-5)\/25\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.0646225 - 308.2476225. Let g = -308 - a. Let b = 0.113 - g. Which is smaller: b or 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 225789?\nAnswer: 3, 73, 1031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -3*l**2 - l - 3. Let t(h) = 7*h**2 + 3*h + 7. Let n(z) = -z + 6. Let r be n(4). Let v = -5 + 10. What is r*t(s) + v*w(s)?\nAnswer: -s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1986*u + 127679 + 9355 for u.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2599632?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + 9 = 0, -2*p - 202 = -5*j + 2*p. Let o = j - 24. Is 0 + 1 + o*9 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {r: 5, c: 8}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -1\/4 (b) -24 (c) -3\/4 (d) -10846 (e) 1 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 12 = 5*q. Suppose q*t - 190 = t. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/2*(242\/(-33))\/22.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -3*l + 2. Let s be -3*(-6)\/9*(-6)\/6. Let t(j) = -21*j - j - 5 + 29*j. Determine s*t(d) - 5*o(d).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -89 or -836?\nAnswer: -836","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*m**4 + 2*m**3 + 32*m**2 + 2*m wrt m?\nAnswer: -72*m + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 5*q + 4 - 6*q - 3. Let b(m) = 7*m - 6. Let x(z) = b(z) + 6*i(z). Let a(v) be the first derivative of 2*v**3\/3 + 1. Calculate x(a(w)).\nAnswer: 2*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 40, 14, -2, 1150 in descending order.\nAnswer: 1150, 40, 14, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the second derivative of d**5\/24 + d**3\/2 - d. Let o(c) be the second derivative of h(c). What is o(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.07 + -0.05. Let q = 1.98 + c. Let h = q + -1. Which is smaller: -1\/4 or h?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 2 - 5 - 6*o - o**2 + 2. Let s be l(-6). Let g be s*(-2)\/(-4)*0. Solve -r = -g*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.155079 and -440889.\nAnswer: -440889.155079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 4*z + 16 = -0*z, -3*z - 9 = 4*b. Let m(w) = -12*w + 4. What are the prime factors of m(b)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/g**(-2\/3))**(-20) assuming g is positive.\nAnswer: g**(-100\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - (-4 - -4) - 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (283 - 287) + 53 + -8?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -712*i**2 + 3 + 1 - 2 + 2243*i**2.\nAnswer: 1531*i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2445957.\nAnswer: 3, 30197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 9*v = 8533. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -5*k. Suppose 0 = 3*u - 3*h, -2*h = 2*u - 3*h - 3. Let r(q) = 10*q**2 - u*q + 3*q - 8*q**2. What is z(r(i))?\nAnswer: -10*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -71520 by 4.\nAnswer: -17880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-10))\/1)\/(42\/(-63)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4497719 to two dps.\nAnswer: 1.45","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -1920*u**3 - 3931 wrt u?\nAnswer: -5760*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 355 - 2845\/8. Find the common denominator of w and -24\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of -5*y**2\/2 + 826. Let f(l) = 441*l. Give f(g(u)).\nAnswer: -2205*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:23 PM and 5:49 AM?\nAnswer: 446","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*-1*sqrt(147))**2 - sqrt(147))*-2 + (sqrt(147) + (4*sqrt(147)*-1)**2)*5.\nAnswer: 49*sqrt(3) + 9114","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -14 in -21, -3\/7, -1\/3, -3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2743*v - 2749*v - 30 + 150 to the form w*v + x and give x.\nAnswer: 122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -44514263?\nAnswer: -44514241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-2 - 15)) + (-7 - (7 + -26))?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(21)\/(sqrt(21)\/sqrt(3)).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*i**2 - 15*i**2 - 26*i**2 + 52*i**2.\nAnswer: 62*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 4, 0.5, 0.1, -11348, -1, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 g when two letters picked without replacement from {g: 3, t: 2, x: 1, n: 4, e: 1, z: 1}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tm when two letters picked without replacement from aaaaaaamaaaaata.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 727116*o**2 + 727203*o**2 - 1454451*o**2.\nAnswer: -132*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 + -41. Let m(u) = 5*u. Let s be m(f). Let q(h) = -h**3 + 9*h**2 + 13*h + 12. Let l be q(s). What is the greatest common divisor of l and 28?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -2*c - 64. What is the remainder when (-40)\/(-6) - (-3)\/9 is divided by z(-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1434733 to the nearest integer?\nAnswer: 1198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 3736980 a multiple of 117?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -4*u - 4*x + 18, -4*u - 3*x + 21 = 0. Suppose -2*z - g = -4*z + 3, z + u = 4*g. Suppose 0*p - 4*p - 2*r + 50 = 0, -z*r = -2*p + 29. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2829 + -2829.2. Let i = -2 - -6. What is the nearest to i in z, -0.4, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -4 from 0.1041.\nAnswer: 4.1041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 27, 77, 149, 243?\nAnswer: 359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -463\/6 - -77. Let u = -3.9 - -3.4. Put t, u, -3\/4, 2\/3 in decreasing order.\nAnswer: 2\/3, t, u, -3\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -192 = -2540*w + 2516*w. Suppose -2*q + 54 - 2 = -3*u, 5*q - 120 = 5*u. Is q bigger than w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-132)\/30*(-69)\/(36018\/290)?\nAnswer: 22\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 534*d - 533. What is j(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7472 is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47233.\nAnswer: 149, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -8 (b) -0.01 (c) 0 (d) -2\/5 (e) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 21463 and 6929?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 23\/10 and -71\/2812?\nAnswer: 14060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*i + 2*i + 3*i**3)*(4 - 1 - 1) + (6*i**3 - 2*i**3 - 3*i**3)*(70 - 110 + 116))*(2*i**2 + 4*i**2 + 0*i**2).\nAnswer: 492*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 2*x**3\/3 - 15*x**2\/2 + 19*x + 5. Let u be y(7). Let z be 5 - 9 - u\/(-2). Solve -12 = 6*t - z*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74969 times -0.073?\nAnswer: -5472.737","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 1348*q + 8. Let b be c(-3). Is 5\/(90\/(-24)) - b\/12 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 210 (base 3) in base 5?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r. Let t be y(-7). Suppose 0 = 4*i - 2*u + u - 16, i = u + t. Let d(m) = 8*m**2 - 4*m + 4. Does 20 divide d(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53001789100352 less than 3?\nAnswer: -53001789100349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2770 divided by -3978\nAnswer: -1385\/1989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 13110 and 2070?\nAnswer: 39330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 2 + -7 + (1 + -7 - 0)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = 9*d - 7. Let o be -12 - -7 - (-1 - 10). Let y(k) be the second derivative of 4*k**3\/3 - 3*k**2 + 2*k. Calculate o*g(i) - 7*y(i).\nAnswer: -2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 72 a factor of 20447645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 2 (b) -12.7 (c) -1 (d) -3 (e) -1015.4 (f) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -986\/481?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 64214004 divided by -6\nAnswer: -10702334","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*p**3 - 6819*p**2 - 1137*p.\nAnswer: 3*p*(p - 379)*(6*p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2608561*g**2 - 14*g + 359148372 with respect to g.\nAnswer: -5217122*g - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -61 divided by -1784043?\nAnswer: 61\/1784043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 13 = 4*b, -4*x - 5*b - 3 + 8 = 0. What is the remainder when 54 is divided by x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 188 = 68. Suppose 5*m + 0 = -f. Is (-2 + m\/8)*-4 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1000020 (base 3) in base 8?\nAnswer: -1337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ay when two letters picked without replacement from yjaaabkkqyk.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 4\/7*y**2 - 8\/7*y = 0. What is y?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**2\/5 - 124*q\/5 - 1922\/5 = 0. Calculate q.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(2\/3)*m*m)**13*(m\/(m\/m**(4\/5))*m)\/m**(-1\/7))\/(m\/(m**(-4)\/m)*m*m**(2\/7)\/m*m**(-2)*m\/((m\/(m\/(m\/(m*m*m**2*m*m))))\/m*m)) assuming m is positive.\nAnswer: m**(2764\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Add -131599 and -1137.977339.\nAnswer: -132736.977339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107 - (61 + 55 - 100).\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 86337940?\nAnswer: -3\/86337940","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 17975954160 to the nearest one million.\nAnswer: 17976000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122751723.\nAnswer: 3, 19, 31, 127, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.1 + -0.2. Let j = -1833.4 + 1833. Which is the closest to 0.2? (a) -5\/3 (b) m (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 505438*y + 0 - 108117*y + 52826*y.\nAnswer: -560729*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/(-5) - (-246)\/(-1080)*4. What is the second biggest value in r, 0.1, -4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1395 + 1389. Let g(h) = -1 + h + 1. Let v(a) = a**2 + 3*a. Let j(z) = f*g(z) + 3*v(z). Factor j(r).\nAnswer: 3*r*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7357 is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 8*k**2. Let j(g) be the first derivative of 17*g**3 + 940. Give j(z(c)).\nAnswer: 3264*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 5820 divided by 2910?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1951, -3924, -5927, -7978, -10095, -12296, -14599?\nAnswer: -17022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -693 or -15093?\nAnswer: -693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2688369997 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -29979.88 - -29342. Let a = x + 639. What is the nearest to -0.1 in 0.5, -1, a, 1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 380 and 585?\nAnswer: 44460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 504504*y**3 + 155503*y**3 + 186039*y**3.\nAnswer: 846046*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 301 and 258.\nAnswer: 1806","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 0*j**3 - 11*j + 0*j**2 - 19\/4*j**4 + 3. What is the first derivative of t(s) wrt s?\nAnswer: -57*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 67*o + 19. Let w be l(4). Suppose -3*d + w = 4*d. Let m = -41 + d. Solve f - 18 = -4*n, m = -4*n - 3 + 23 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1796123 to the power of 1\/2, to the nearest integer?\nAnswer: 1340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -503*h. Let i(c) = -3*c**2 + 2*c + 4. Let j(y) = 8*y**2 - 5*y - 10. Let q(l) = -5*i(l) - 2*j(l). Calculate d(q(u)).\nAnswer: 503*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 117247 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 20 and 397301130?\nAnswer: 794602260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*j + 1. Let a(l) = 2*l**2 + 9*l - 4. Let k be a(-5). Let s = j + k. Solve 4 + 1 = -s*v for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**2 + 2*g - 4. Let x = 1 + 76. Let u = 79 - x. Let j(k) = -2*k**3 + k**3 + 73*k + 0*k**3 - 62*k - 21 - 6*k**2. What is u*j(l) - 11*f(l)?\nAnswer: -2*l**3 - l**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -5a2837 (base 11) in base 6?\nAnswer: -32250503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 92377 by 11.\nAnswer: 92377\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -293081, -293093, -293127, -293195, -293309, -293481, -293723?\nAnswer: -294047","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-90)\/(-16))\/(42\/8) and 19\/6?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 18*d + 171. Let c be m(25). Let k(t) = t**3 + 3*t**2 - 2*t. What is k(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 8040899?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -23*t**3 - t**2 + t + 1. Let y be j(-1). Suppose 2*o + 2*o = 2*k - y, 0 = -4*k + o + 16. Solve -5*s + 0*s = k*z + 3, 4*s = -2*z - 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16*(9\/12 - -4). Let k = l - 47. Suppose 0 = -8*p + 107 + k. What are the prime factors of p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -684320 divided by 208?\nAnswer: -3290","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*(-9 - 1527\/(-171))\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -0.4, -3, -35\/2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 45 + -42. Is 4 a factor of 18*(-4 + 14\/t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 77468 by -18.\nAnswer: -38734\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r = 5*r + 1, 0 = b + 3*r - 196. What is the units digit of b\/(((-75)\/(-20))\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 145 - ((-8)\/6 - -2)*3. Suppose z = 5*s + 8*s. Suppose -3*m + 31 = -s. What is the remainder when 26 is divided by m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -3*d + 7. Let l = -2 + -7. Let j be 9\/(-6)*30\/l. Calculate u(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/14)\/(405\/(-315))*42\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 24663800 to the nearest one million.\nAnswer: 25000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 183326?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**8)**(-2\/35)\/((i*(i*i\/((i*i**1\/i)\/i*i)*i)\/i*i)\/i**(-7\/2)) assuming i is positive.\nAnswer: i**(-61\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = 6*s + 30. Let x be u(17). Calculate the greatest common factor of 99 and x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - f**2 + 7*f - 4. Let z(c) = c**3 + c**2 - 7*c + 5. Let r(n) = 5*d(n) + 4*z(n). Let h be r(-4). What is the highest common factor of 140 and h?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 30*t - 2. Let d be n(2). Let s = 154 + -154. Let x = d + s. List the prime factors of x.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -23, -5 in decreasing order.\nAnswer: -1, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 22506 + -22508. Which is the closest to i? (a) -4\/7 (b) 29 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3538 + -3533. Let t(w) be the second derivative of 1\/30*w**4 + 0 - 1\/50*w**u - 1\/5*w**2 - 11*w + 1\/15*w**3. Suppose t(z) = 0. Calculate z.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15773466*n - 15773292*n - 7134 = 0 for n.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 147 - 68. Suppose s + 2*t = 99, -s - 3*t = -2*s + o. Let l = s - -54. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 39.5 - 39.5. Let v be 1\/2*(-15 - -56). What is the third smallest value in -0.4, j, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79945.\nAnswer: 5, 59, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 105 = -2*h, -2*h + 161 = -5*h + b. Let q = 112 + h. Is 16 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (55895\/(-140))\/((-1)\/4) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3 + 51 - 8\/(-4). Let v = c + -40. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (sqrt(2548) + -1 - sqrt(2548))**2 + 0)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-440)\/8 + -3 + 6. Let g = u - -83. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3901.4469 to zero decimal places.\nAnswer: 3901","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j + 4*u - 24, 4*j + j + u - 23 = 0. Let w = 17 + -9. Suppose -2*c - c = -l + 11, -j*l = -3*c - w. Put -1, 3, c in decreasing order.\nAnswer: 3, -1, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42372 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -122001 - -222220?\nAnswer: 100212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = r**2 - 15*r + 28. Let z be f(13). Let o be (1 - -12) + (-8)\/z. Is 8 a factor of (o - -4) + (5 - 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19550833397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -13*m - 8*m + 6*m - 7 - 3*m. What is the tens digit of r(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18228034 and 374.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 6 + 5)*(27 - 16 - 13)*(28*s + 70 - 70).\nAnswer: 56*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a millennium in centuries?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a decade in months?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 397 = -8*f + 3*p, p = -5*f + 381. Calculate the remainder when f is divided by 13.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m = -20*m + 14. Is 3 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*h**4*m**2 + 48*h**2*m**2 + 42*h - 2*m**2 wrt h?\nAnswer: -24*h**2*m**2 + 96*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*z - 10*r + 14*r + 50, -34 = 4*z + 5*r. Let c(x) = 12*x + 71. Determine c(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -13*l**3 - 2*l**2 + 6*l + 4. Let g(w) = 17*w**3 + 2*w**2 - 5*w - 3. Let s(t) = 3*g(t) + 4*y(t). Give s(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 200\/(-384)*6\/(-5)\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -921\/221 or 260.1?\nAnswer: 260.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6958*q - 61 = -3486*q - 3501*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 41169 is divided by 282?\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rnv when three letters picked without replacement from {r: 1, n: 1, v: 1, z: 1, u: 1}.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.5088 rounded to two dps?\nAnswer: 3.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + (-4 - (2 - 5))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = g**3 + g. Let q(c) = -3*c**3 - c. Let p be 4*((-2)\/(-8) - 1). Let v(b) = p*q(b) - 5*m(b). What is the second derivative of v(h) wrt h?\nAnswer: 24*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1560139 is divided by 792.\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 567936, 567937, 567938, 567939, 567940, 567941?\n\"Answer: j + 567935","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g. Let j(n) be the third derivative of 3007*n**4\/6 - n**2 + 587*n. Determine o(j(b)).\nAnswer: -12028*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 26. Let r = 34 - m. Which is the third smallest value? (a) 2\/5 (b) r (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 + 5*i - 9)*((-5 + 3 + 3)*(1 - 1 - 2) + 0 + 4 - 3).\nAnswer: -5*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6256 = -4*i + q, -3*i + 3200 = -2*q - 1487. What is the third smallest value in -3, -1\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-100)\/40)\/(((-3430)\/42)\/7).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 12203 and 0.16.\nAnswer: 1952.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in sixty-three eighths of a hour?\nAnswer: 28350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q**3 - 2*q**2 + 4*q - 6. Give g(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 2*l**2 + 4*l + 6. Let j be k(-3). Let q = -50 + j. Let b = q - -42. Calculate the least common multiple of 16 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-416)\/130)\/(564\/(-3290))?\nAnswer: 56\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 549 minutes after 9:16 PM?\nAnswer: 6:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 11*(-45)\/3078 - (21\/(-19) - (-18 - -17))\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -12*n**2 + 560*n + 768.\nAnswer: -4*(n - 48)*(3*n + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -b**5\/20 - 5*b**4\/12 - b**3\/3 + 15*b**2\/2 - 109*b. Let q be x(-3). Find p such that -2\/15*p**q + 0*p**2 + 0 + 2\/15*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1617689 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -21*u**2 - 2*u - 13. Let c(g) = 10*g**2 + g + 6. Determine -13*c(p) - 6*r(p).\nAnswer: -4*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10\/20 + (671\/2)\/1?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39.98 + -1.02. Suppose h + 825*r - 828*r - 28 = 0, 4*h - 4*r = 48. Which is the biggest value? (a) d (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/1205840 and 51\/16.\nAnswer: 1205840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, o: 3, t: 1, w: 3, z: 2, x: 1}. What is prob of picking 1 x, 1 k, and 1 t?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 0.0716 - 0.2\nAnswer: -0.1284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 3*u. Let w = 150 + -146. Suppose u = -0*q - w*q + 16. Solve q*p + p = 5 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*m + 27 = -6*g, 2*m + 25 = -4*g + 23 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 785, 1724, 2803, 4022, 5381?\nAnswer: 6880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**2 - 7*s - 2. Let m be p(-6). Suppose 270 = 29*z + 25*z. Suppose -6*o + 25 = 3*y - 10*o, 3*y - z*o - 29 = 0. Solve -y*w + m + 5 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2554175?\nAnswer: 5, 13, 29, 271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -68.241 from -155859255.\nAnswer: -155859186.759","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 37 + 43 + 21 - 135 to s*u**3 + n*u**2 + y + i*u and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(847) + sqrt(7)) + sqrt(7) + sqrt(7) + 3 + sqrt(700) + sqrt(7) + 1*(4*sqrt(84) - sqrt(84))\/sqrt(12) + 2.\nAnswer: 5 + 28*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 0.1, -32.98, 0?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 17\/30 - 1\/15. Which is the nearest to 2\/3? (a) 5 (b) g (c) -1 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -96, -2, 3 in ascending order.\nAnswer: -96, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8276816 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -173 - 13*p + 110*p - 3*p**4 + 76*p + 1035 wrt p.\nAnswer: -12*p**3 + 173","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j - 247. Let y be m(15). Which is greater: y or -233?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of 55\/12*r**4 + 89 - 4\/3*r**5 + 80\/9*r**3 - 5\/6*r**6 + 0*r + 10\/3*r**2. Find z, given that g(z) = 0.\nAnswer: -2, -1, -1\/3, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -8923883 + 10083986939\/1130. Let l = y - -6\/113. Let q = -13741\/10 - -1372. Calculate the common denominator of l and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 5*d**2 + 131*d + 690. Calculate the remainder when 1252 is divided by p(-5).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*j**5 - 2*j**5 + 4*j**5 + (j**3 + 2*j - 2*j)*(4*j**2 - j + j) - 30*j**2 + 2*j**5 + 25*j**2 + 0*j**5.\nAnswer: 13*j**5 - 5*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 224 + -63. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 26 - 125 = 0. Suppose 3*c = 6*c - f. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 > 18656?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 7634 divided by 22\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/44 and 69\/44.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -300.01 + 301. Round m to one decimal place.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 15*k**3 - 10*k**2 + 4*k - 4. Let i(o) = -2*o**3 - o + 1. Determine 4*i(w) + m(w).\nAnswer: 7*w**3 - 10*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -356 + 382. Let u(i) = -18*i - 4. Let s be u(-6). Calculate the highest common factor of s and y.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-553)\/28)\/(2 + 369\/(-180)). Calculate the highest common divisor of 553 and s.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 144 minutes before 2:34 AM?\nAnswer: 12:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -29, -90, -183, -302, -441, -594?\n\"Answer: f**3 - 22*f**2 - 2*f - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -149*a + 611*a - 155*a - 151*a + 1 - 100*a**3 - 152*a as p*a + t*a**2 + o*a**3 + w and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 813024 to the power of 1\/3, to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/6)\/((39669\/(-3778))\/(162\/16))\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 + 0 - -5) + (5 - 8) + 8.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 0*t = -4*t + 12, -5 = -5*r + t. Suppose 4*h = -2*i + 1302, -2*h - 5*i = r*h - 1317. Is 42 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 21*o**2 - 20*o + 7. Let d be t(-20). Suppose -2*w - 3*w = -d*w. Solve 3*p - 5*l + 5 = w, -l + 1 = -0*p - 5*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 13, 22, 19 in ascending order.\nAnswer: 0, 13, 19, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1252754801 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = x**3 - x**2 + x - 1. Suppose 14*w - 12 + 82 = 0. Let h(c) = 5*c**5 + 10*c**4 - 65*c**3 - 195*c**2 - 165*c + 5. Let s(d) = w*q(d) - h(d). Factor s(y).\nAnswer: -5*y*(y - 4)*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -2*l**3 - 2*l**2 + 2*l + 2. Let m(j) = j**3 - j**2 + 1. Let w(g) = -3*m(g) - n(g). Let t be (-2)\/(-8) - (-60)\/16. What is the units digit of w(t)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -10*u**2 + 2*u + 41. Let v(z) = 41*z**2 - 9*z - 184. Let k(b) = -9*p(b) - 2*v(b). Let s(f) = f**2 + 1. Calculate -k(m) - s(m).\nAnswer: -9*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 35 divided by -5\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/777 and 11\/10801.\nAnswer: 1198911","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (132 - ((-8 - -11) + -6)) + -178 + 160.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 518989*s**3 + 605627.\nAnswer: 1556967*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 478394 and 454.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -105*s**2 - s. Let q(x) = x + 40. Determine j(q(p)).\nAnswer: -105*p**2 - 8401*p - 168040","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -497 + 505. Is 8 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82885809011 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**4 - 4*b**3 + 967*b**2 - 7117*b wrt b?\nAnswer: 24*b**2 - 24*b + 1934","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 39*c - 25*c - 56 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-40)\/2*1*-1. Let i = 37\/2 - p. What is the common denominator of -6\/7 and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 315820?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 4*j + 950, -5*m - 1154 = 5*j + 46. Let g be j\/4 - (-7)\/(-28). Let o = 93 + g. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = 4*j**2 - 3*j - 2. Let u be b(4). Let y = -14276 + 14325. Which is greater: u or y?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13414.929 nanoseconds in minutes?\nAnswer: 0.00000022358215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1935 - 1929. Solve -7*p + 3*s + 7 = -g*p, -5*s - 13 = -3*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a6 (base 12) in base 11?\nAnswer: 347","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 4*h + 140 = 3*y, -4*h = 20. Let n be 10\/(-3)*18\/(-15). Suppose -v + n*v = y. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -20.9 - -21. Which is smaller: y or -0.21?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, -2\/5, -3807, 1\/3.\nAnswer: -3807, -12, -2\/5, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 597 divided by 4871\nAnswer: 597\/4871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1781 is divided by 85.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1210718?\nAnswer: 2, 19, 151, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/4, -3, -0.3, 0.4, -8, 0.3, -2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 222128 is divided by 221836.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 630*b + 26323 + 10234 + 13682 = -11501 for b.\nAnswer: -98","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**3 + 7*q**2 + 11*q + 3. Give w(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -20*v - 174 - 115 + 49. Let z(d) = 3*d**2 + d - 4. Let b be z(-3). What is the common denominator of 4 + v*b\/162 and -29\/9?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26 - 46 = -5*x + 5*y - 0, -x + 6*y = -4*x + 74 - 17 for x.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*y + 193771 = 193750 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -1.4 * -1.1\nAnswer: 1.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11103 + -945. What is the highest common divisor of q and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -4 (b) 21 (c) 0.31 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 8, y: 3, d: 6}. What is prob of sequence dzdy?\nAnswer: 3\/238","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13 + 2. Calculate the highest common factor of 120 and y.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -106, -22, 2, -1, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - -1 - 20)\/((-276)\/828)?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19742519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82 is divided by 37.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 229141182?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/91)\/((-200)\/(-150) + (-104)\/84).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -132890, -265844, -398798, -531752, -664706?\n\"Answer: -132954*l + 64","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-980)\/(-55) - (-4)\/22. Let i be v\/42 + (-9)\/21. Suppose 2215 = 5*m - i*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -35.7 + 11.4. Let g = -0.3 - p. Let l = g + -23.99999975. Round l to seven dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -714985*n**2*x - 8*n*x + 68725*n wrt n?\nAnswer: -1429970*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42349872 divided by 8.\nAnswer: 5293734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 5*y**2 + 5*y - 4. Let w be r(4). Suppose 4*s = -2*g - w*g + 98, -2*g = -s + 27. Solve 0 = -5*m + s - 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 6*u**2 - 4*u - 9. Let d = 92 - 86. What is the units digit of s(d)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3\/10, -2\/3, 865.7?\nAnswer: 865.7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 358176.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zs when two letters picked without replacement from szsszvzzssszhzzzss.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -4*k**3\/7 + 932*k**2\/7 + 2824*k\/7 + 1888\/7 = 0.\nAnswer: -2, -1, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 5391236?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -7395 + 17745. Suppose -o + 10*o = q. Suppose 310 = -3*k + o. Does 15 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 180*v + 11099. What is c(-62)?\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*w**2 - w**2 + 0*w**2 + (w + 4*w - 3*w)*(w - 2*w + 2*w) - 3 + 3 + 2*w**2 + w**2 - w**2 - 3*w**2 - 82*w**2 + 105*w**2 - 54*w**2.\nAnswer: -28*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence llod when four letters picked without replacement from {l: 2, d: 1, o: 1, h: 2}.\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, c: 1, d: 1, j: 2}. Give prob of picking 1 d, 1 j, 1 h, and 1 c.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.88 - 7.329. Is 0 at most as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2287786 + 1143903 - 19*n + 1143885.\nAnswer: -19*n + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -44 + 42.02. Let z = 0 - -0.02. Let t = d - z. Which is the third biggest value? (a) t (b) 3\/4 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 528\/((-11)\/((-212135)\/(-14))). What is f rounded to the nearest 10000?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 538921 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 945 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 15 + -9. Suppose o*q = 2*q - 4. Which is smaller: q or -2\/29?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 293525.\nAnswer: 5, 59, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*z + 0*z + 2*z)*(-19 + 2*z**3 + 19) + (-2*z**3 + 3*z**3 - 2*z**3)*(2*z + 0 + 0).\nAnswer: 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 14567660 and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4*(-6 - 8\/16*-9)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**2\/6 - 83*v\/6 + 85\/3 = 0. Calculate v.\nAnswer: -85, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-51)\/((38\/247)\/(32\/312))?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or -9835494?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18.9, -5, -0.2 in decreasing order.\nAnswer: 18.9, -0.2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 250 + -140. Let q(u) = -18*u - 1. Let x be q(3). Let p = x + d. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -36 - -66. Suppose 2*q = x + 24. Is 1 - (-1 - (q - -2)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/11, -71\/6, -3, 8 in increasing order.\nAnswer: -71\/6, -3, -2\/11, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11111100 (base 2) to base 7\nAnswer: 510","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -3370 - -5?\nAnswer: -3365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 144.6 + -147. Let f = 2 + b. Let s = -7\/30 - 4\/15. What is the fourth biggest value in 2\/25, s, 0, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5185.628 litres to millilitres.\nAnswer: 5185628","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185332 and 22120.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -72?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -912*v + 3 + 768*v - 6.\nAnswer: -144*v - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1920 is divided by 241.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = 6*v + 13. Give o(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/16 of a meter in micrometers?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 2, 21, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10101011001101 - 10?\nAnswer: 10101011001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and -461592920.\nAnswer: 2307964600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/20 + (-6)\/(-24)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -463979 divided by -463979?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -44262 divided by -18\nAnswer: 2459","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*o + 2801 = 2378 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (18 - 12) + (10 - 9) - -24\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32*s**5\/3 - 50776*s**4\/3 + 11438443*s**3\/2 + 4888501195*s**2\/6 + 9673649875*s\/6 + 1606521875\/2 = 0.\nAnswer: -105, -1, 6775\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -53*p - 1398. Calculate u(-28).\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t**5 - 34*t**4 - 40*t**3 + 4*t**2 + 4. Let s(w) = -4*w**5 - 66*w**4 - 81*w**3 + 7*w**2 + 7. Let b(a) = 4*s(a) - 7*x(a). Factor b(o).\nAnswer: -2*o**3*(o + 2)*(o + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 19 + ((35 - 8) + -12 - 18)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*c**2 + 8 - 8)*(-5*c + 2*c - 7*c).\nAnswer: -50*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of 0*t**4 + 0*t + 0*t**2 + 24 + 24\/5*t**5 + 16\/3*t**3. Find the third derivative of x(k) wrt k.\nAnswer: 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -232 - 449?\nAnswer: -67b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 436*x**3 - x**2 + 7*x - 6. Let z be b(1). Suppose -3*n = 2*u - 221, -4*u + n = 5*n - z. Is u a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, -495, -741?\nAnswer: -987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 78*16.\nAnswer: 1248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000090244 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1883.9 - 1884. Sort -0.5, n, -29\/5, -4.\nAnswer: -29\/5, -4, -0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2732393174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*x + 5*v = 362, -28*x + 4*v + 390526 - 390678 = 0 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11\/13? (a) -2\/7 (b) -113 (c) 3 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let s = 3\/37 - 64\/333. Sort -13, s, 4.\nAnswer: -13, s, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*z - 2*z + z)*(-2*z + 0*z + z).\nAnswer: 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 3*k + 3 = 0, -3*p + 9 = 3*k. Suppose -p*t + 49 = c, -2*t + 4 = -2*c - 18. Calculate the remainder when 34 is divided by t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 206504810899 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11060056 divided by -9982.\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*g**5\/3 + 79232*g**4 + 475300*g**3\/3 - 1505320*g**2 + 6655216*g\/3 - 950752 = 0. Calculate g.\nAnswer: -59422, -6, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -540, -721, -988, -1341, -1780, -2305?\n\"Answer: -43*s**2 - 52*s - 445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 24360140?\nAnswer: -1\/4872028","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine o so that 2*o**2\/9 + 38*o\/9 - 28\/3 = 0.\nAnswer: -21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.4 (b) 7 (c) 4 (d) -0.01 (e) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/652960 and 149\/3710?\nAnswer: 652960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 29\/(-10) + 9 + -6. Let h = 0.048 - 4.048. Let x = 0.2 - 0.6. Which is the biggest value? (a) l (b) h (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -79\/434 and 1\/266?\nAnswer: 8246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 5*a = 55, 4*k + a = 3*a - 48. Let t = k - -25. Solve 11*u + t = 15*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3.5 - 5. Let m = -0.7 - f. Let v = 0.79983 - m. Round v to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -40908, -40909, -40910, -40911?\n\"Answer: -m - 40907","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 73188 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (36\/2 - 5) + -9. Solve -2*r + 2*b + 8 - 4 = 0, 8 = a*r + 2*b for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/6 in -2, -0.126, 2\/11, 3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 2*r**2 - 30*r + 72. Let z be s(13). Calculate the highest common factor of 55 and z.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -41 - 658*k**3 + 41.\nAnswer: -658*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 4. Let s = 0.1 - -0.3. Let v = 0.28 + -0.68. Which is the biggest value? (a) z (b) v (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.1 - 0. Let h = -17 - -11.8. Let a = 5 + h. Are y and a non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the first derivative of -41\/2*z**2 + 13*z**4 + 0*z**3 + 0*z - 33. What is the second derivative of i(d) wrt d?\nAnswer: 312*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 5*s + 8 = 0. Let o(d) = d**2 + d. Let m(b) = -b + 2. Let r be m(2). Let f be o(r). Solve f = -s*c - c + 5 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*p**2 - 184*p**2 - 66*p**2 + 161*p**2 - 83*p**2.\nAnswer: -268*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) be the first derivative of 5*c**4\/12 + 13*c - 13. Let w(b) be the first derivative of r(b). Find t, given that w(t) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 22*c. Let h(y) = -y. Let z = -1 - -2. Let m(r) = z*b(r) + 8*h(r). Is m(1) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 38 - 7. Let q = g + -27. What is the second biggest value in q, -1, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.5269 + 0.0739. Let b = l + 0.023. Let j = 6.23 + b. What is j rounded to 0 dps?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*(f*f**(-1\/29))\/f)\/(f*f**(5\/3))*(f**(-1))**(4\/11) assuming f is positive.\nAnswer: f**(-1976\/957)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 + 9. Let u = z + 22. Sort u, -0.2, -1\/2 in decreasing order.\nAnswer: -0.2, -1\/2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-98)\/7*(-20)\/(-210)*3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, 12, 4090 in descending order.\nAnswer: 4090, 12, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 1 + -3 + 0\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1, -3, 5, 20 in descending order.\nAnswer: 20, 5, -1, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*q**2 - 2*q**2 + 7*q**5 + (0*q**3 + 3*q**3 - 2*q**3)*(-2*q**2 - 2*q**2 + 5*q**2).\nAnswer: 8*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8551091ml to litres.\nAnswer: 0.0008551091","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 33*t - 14 - 18 - 3*t + 10 - 16*t to y*t + h and give y.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 127 or 71117\/562?\nAnswer: 71117\/562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -29. Suppose -2*y = y - h. What is the closest to 2\/9 in 1, 1\/2, y?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 8) in base 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -20555639 - -28935639. What is c rounded to the nearest one million?\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -548741\/2 < 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5239*-72\nAnswer: 377208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(-36))\/(4*(-9)\/(-48))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 0*q**2 + 0*q**3 + 0*q - 1\/10*q**4 - 1. Factor r(p).\nAnswer: -2*p**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -13 and 80417?\nAnswer: -1045421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1242 - -1?\nAnswer: -1241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 910.3656 kilograms to tonnes.\nAnswer: 0.9103656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14436139?\nAnswer: 14436139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -77, -347, -797, -1427?\n\"Answer: -90*i**2 + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 49.73 + -50. Let x = 1021741.2700001 + -1021741. Let v = x + w. Round v to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.1*0.15\nAnswer: -0.015","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.4 - 0.6. Which is the smallest value? (a) 5 (b) 0 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -2*l**3 + 8*l**2 - 12*l + 56. What is the units digit of s(-9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-3 + sqrt(76) - sqrt(76))*1*3)**2 - ((sqrt(76) + 2)**2 + -4 + -4)) + 0.\nAnswer: -8*sqrt(19) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -6, 0.169812 in descending order.\nAnswer: 0.169812, 0.1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.470783 weeks in nanoseconds?\nAnswer: 284729558400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32\/(-12)*((-4)\/(-18))\/(2\/(-3))?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**2 + 5*f + 5. Let d be n(6). What is the second biggest value in d, 4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the second derivative of u**4\/6 + 42*u. Let z(g) be the third derivative of g**5\/60 - g**2. What is z(n(y))?\nAnswer: 4*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 100*t + t**2 + 3*t**2 - 100*t in the form g*t + d + f*t**2 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from dfdfdddf. What is prob of picking 3 f?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -607482*b = -607488*b - 414 for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 47*g**2 + 513*g + 13175. What is a(-52)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2436313414?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 528, 529, 530, 531, 532?\nAnswer: 533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/15*198\/(-4). Is s greater than 34?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -448 (b) 3 (c) 1\/7 (d) 4.5 (e) 1 (f) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/sqrt(3))\/sqrt(3) - sqrt(40)\/(1*sqrt(8)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 2*t + 0*t + 4*t - t - 4*t + (-1 + 2 - 2)*(t - t + 3*t) - 578 + 578 + 46*t + 0*t + 0*t + 2*t)*(-2 - 1 + 1).\nAnswer: -92*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1549.844269 rounded to the nearest integer?\nAnswer: -1550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1*(0 - -5 - 1207\/284).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*j + 2115 = -6285. Is j a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 1796*j**2 + 545*j + 2168. Does 60 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of -11*w**3\/6 - 3*w**2\/2 - 14*w. Let a be d(-1). Suppose a*i - 567 = -i. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -3*i**2 - 282*i - 549. Calculate q(-92).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*279266.\nAnswer: 251339.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a multiple of 40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.4? (a) 0.15 (b) -5 (c) 2\/7 (d) -0.1 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 710 is divided by 23?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Product of -112 and -249.\nAnswer: 27888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -k**3 + 2*k**2 - k - 1. Let f(c) = 618*c**3 - 10*c**2 + 5*c + 6. Determine -f(h) - 5*u(h).\nAnswer: -613*h**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 496965 to the power of 1\/2, to the nearest integer?\nAnswer: 705","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/1 - ((-1295)\/(-210) - 12).\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 d when two letters picked without replacement from {t: 3, d: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 299 - -414. Is m a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -77129, -77132, -77137, -77144?\n\"Answer: -z**2 - 77128","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -2 + 25. Let w = 27 + z. Suppose -3*j - 2*b + 891 = 0, -b + 1188 = w*j - 5*b. What is j rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 5*u = 14. Calculate the greatest common factor of u and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ttttttt. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -180 + 112. Let f = -911.9 + 980. Let p = f + z. What is the closest to p in -1, -0.2, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = 4*o**2 - 1. Let n be u(1). Let b(q) be the first derivative of 1\/15*q**6 + 4\/25*q**5 - 1\/5*q**2 + 0*q**4 + 0*q - 4\/15*q**n + 1. Factor b(z).\nAnswer: 2*z*(z - 1)*(z + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 43345*t - 2 - 43352*t + 0. Let p(o) = -o. Give p(g(z)).\nAnswer: 7*z + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3014822?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 5*n**2 - 24*n - 11. Let s be q(5). Let x be (-403)\/(-15) - 5*s\/225. Solve -3*o + x = 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - -4. Suppose y*a - 3*a + 8 = 0, 29 = f - 4*a. Solve z + 19 = -4*m + 4*z, -f = m - 4*z for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 0.34, 11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 110, 0.3, 4.52?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -2.9 + 28.53971693\nAnswer: 25.63971693","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.17 in 1\/25, -12, -81, -3?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -2*u**2 - 43*u. Let y be (9 + -7)*(0 + -1) + 5. Let f(h) = 5*h**2 + y*h**2 - 5*h**2 - 5*h**2. What is f(z(d))?\nAnswer: -8*d**4 - 344*d**3 - 3698*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 18 - 2 = 2*s, -2*h - 22 = s. Let g be (h\/4)\/((-25)\/20). Solve 2*q**g - 12 - 10*q + q**2 - 5*q - 6*q**2 = 0.\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 199822?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.01? (a) 3 (b) -1\/2 (c) -0.34714 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0437329 millilitres to litres.\nAnswer: 0.0000437329","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 3*h**2 + 2964*h - 2967 = 0?\nAnswer: -989, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 7637971 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2\/3)\/((-2)\/(-9)). List the prime factors of 1\/(g\/(-30)*-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -10 - -14. Suppose -6*u - 2*j + 92 = -u, -2*u + 32 = -f*j. Let c = u - -8. What are the prime factors of c?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*k**4 - 381597012*k**3 - 18202035327513026*k**2 - 36404069510235024*k - 18202034564319008 = 0. Calculate k.\nAnswer: -95399252, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 79789148?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes before 3:58 PM?\nAnswer: 10:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -45, -131, -277, -513, -869, -1375?\n\"Answer: -5*o**3 - 51*o + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(5 + sqrt(76)*3 + -1*sqrt(76)*-3) + -5)*1 + -3)**2.\nAnswer: 2688*sqrt(19) + 44560","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6351, 6356, 6361, 6366?\n\"Answer: 5*x + 6346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-28))\/(13\/(-91)))\/(1\/(-1)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 100406 and 1403.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(6)\/sqrt(3)) + (sqrt(1584) - sqrt(1584)*-1) + -4 + (sqrt(1331) - 1*sqrt(1331)*-2)*6)**2.\nAnswer: -1784*sqrt(11) + 547035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -78\/191 + -21567\/1910. Find the common denominator of -91\/2 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 3*m + 3. Let c = -79 + 76. Give z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 16. Calculate the remainder when 63 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -44*b - 4788 = -51*b. Let c = -679 + b. Solve -c*o = 4*y - 30, 3*o = y - 0 + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-14)\/10 - 3. Let r = -61\/82 + 10\/41. What is the nearest to r in 4, d, 11?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**2\/23 - 1322108*d\/23 - 2644032.\nAnswer: -2*(d + 46)*(d + 661008)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -811, -820, -829?\n\"Answer: -9*q - 802","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {t: 1, l: 3, z: 4, s: 1, f: 2, b: 1}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 49952 and 4704?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*r**3*v**3 - 7*r**3*v - 3*r*v**4 - 19*r*v**3 + 2*r*v**2 + 958*v**2 wrt v.\nAnswer: 18*r**3 - 72*r*v - 114*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 154 and 116566527.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f*f*f**(-4)*f))**(5\/14) assuming f is positive.\nAnswer: f**(5\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 6) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 42653 + -77634?\nAnswer: -34761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 10*w**2 + 39*w + 2. Let h be c(-13). Suppose 4*k - 195 = -5*x, h*x = 7*k - 9*k + 80. Is 5 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/6*((225\/(-6))\/(-15) - 2). Let u(c) be the second derivative of 0*c**2 + 12*c - 3\/4*c**4 + 0 + p*c**3. What is the second derivative of u(i) wrt i?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*a - 2*a**2 - 5*a - 8*a**2 + 2*a**2 - 10*a**2 + a - a + 2*a**2 + (0 + 2 - 1)*(3 + 2*a**2 - 3))*(884*a + 464*a - 278*a + 273*a).\nAnswer: -18802*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeqmcxqsqmcxqx. Give prob of sequence qxq.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -12463*k + 30157*k + 22999*k as x + d*k and give d.\nAnswer: 40693","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1616 is divided by 33?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -61, 2, -1, 5\/7?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*t**5\/7 + 54150*t**4\/7 + 56612*t**3 + 456200*t**2\/7 + 144048*t\/7 = 0. Calculate t.\nAnswer: -3001, -6, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:00 PM and 4:03 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c - 4*l - 23, 0 = -2*c + 3*c - 2*l - 1. Let h = 8 - c. Let x be h\/15 - 6\/15. What is the third smallest value in x, 2, 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 3*j + 14 = 0, -9*i - 3*j = -4*i - 56. Suppose -3*d + 1460 = s, 5*s + i*d = 7*d + 7264. What is the tens digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.8718 - -0.7718. Which is the second smallest value? (a) -2.3 (b) -2.1 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of 0*w**4 + 8*w**2 + 0 + 0*w - 3\/20*w**5 - w**3. What is the first derivative of a(p) wrt p?\nAnswer: -18*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-13)\/(-78))\/((-2)\/4).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 3*n + 30, 4*h - 10*n = -13*n - 7 + 2 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*h + 34 = 8*h + 12*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s = -478 + 478. Solve -o + 24*o + 46 = s for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*g**2 - 5070 - 68*g**5 + 5060 - 271*g**5 wrt g.\nAnswer: -20340*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*k*m**3*t**2 + 9*k*m**3*t - 2*k*m**3 + 11*k*m**2*t**2 - k*m*t**2 - 8*m**2*t wrt t?\nAnswer: -20*k*m**3 + 22*k*m**2 - 2*k*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37164?\nAnswer: 2, 3, 19, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/4 of a millennium?\nAnswer: 15000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 632463469?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 24*w**2 - 37*w + 14. Let t = -230 - -243. Is b(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 7 - 8 + 660*d**2 + 9.\nAnswer: 660*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 167, 346, 535, 728, 919, 1102, 1271?\nAnswer: 1420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 12:29 AM?\nAnswer: 10:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 1\/87?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 11 - 320437?\nAnswer: -320426","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 8 = -0*z, -4*n = 2*z. Is n <= 1\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 - (0 - 1)) + -2 + -3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 + 4*z + 1. Let b be m(3). Suppose 0 = -b*d + 7*d - 15. Suppose 2*u + 7 = f, 9 = d*f - 4*f - 3*u. Solve f*n + 2*n = 25 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2982389?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1808568 and 594.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3458 and 595.\nAnswer: 293930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -93270, -93118, -92966?\n\"Answer: 152*s - 93422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 489076, 978166, 1467256, 1956346, 2445436, 2934526?\n\"Answer: 489090*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 109213726283 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 42178769 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 143115.6mm to meters.\nAnswer: 143.1156","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -28.76 and 31.61.\nAnswer: -909.1036","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1319.000002844 + 1319. Round d to 7 dps.\nAnswer: -0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13310 (base 7) to base 16\nAnswer: -e00","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u and 2 p when four letters picked without replacement from pupperpuprurp?\nAnswer: 9\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -120, -117, -106, -81, -36, 35, 138, 279?\nAnswer: 464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -421*d**2 - 36*d - 174. Let n(x) = -84*x**2 - 7*x - 35. Let y(m) = 2*f(m) - 11*n(m). Is y(-4) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -1.8, -0.4, 11, 1\/4, -2?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -16 + (5 - -12) + -17.\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*d**3\/7 - 7821042*d**2\/7 - 15642093*d\/7 - 7821048\/7.\nAnswer: 3*(d - 2607016)*(d + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.6232 * 108.15.\nAnswer: 283.69908","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 - 5*b**2 + 5*b - 7. Let r be q(-6). Which is greater: r or -3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 0*l + 10*l - 8*l - 3*l. Let w(v) = 7*v. Determine z(w(s)).\nAnswer: -7*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m - 85 - 55 - 62)*(-1 - 3 + 3).\nAnswer: 2*m + 202","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.2286 + -150.0714. What is r rounded to the nearest 10?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**4 + 2643*c**3 + 3*c**2 - 2643*c.\nAnswer: -3*c*(c - 881)*(c - 1)*(c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3438*v**5 - 319*v**4 + v**3 + 22*v**2 - 107*v + 2285 wrt v.\nAnswer: -206280*v**2 - 7656*v + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, -17, -53, -115, -215, -365, -577?\nAnswer: -863","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6.5, 0.3, -1\/3, 1\/24, -1\/2, 4\/17, -2\/49?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 15 = 4*u, 0 = -3*y - y - 5*u - 16. Let x(f) = 8*f - 5. Let l be x(y). Determine m, given that 2\/9*m**4 - 4\/9*m + 0 + 0*m**l - 2\/3*m**2 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 81 - 403\/5. Let o = -8 + 3. Let q = o - -4.9. Which is the closest to n? (a) q (b) -1\/4 (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -4*w - 1. Let h be w*(-2 - -1)*0. Suppose -5*y + 4*y = 0. Solve -b + h*b = y for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-5*1*(((-3 + sqrt(171))*1 - sqrt(171)) + (sqrt(171) - ((1 + sqrt(171) + -1 - sqrt(171)) + sqrt(171))))*4)**2.\nAnswer: 32400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 3, f: 4}. What is prob of picking 2 f and 1 g?\nAnswer: 18\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 86259 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 8*f**2 + 8*f - 7. Let o be q(-9). Let c = -35 - -30. Let i(x) = -x - 2. Let k be i(c). Solve 3*r = -k*g - 3, 4*r + 1 = o*g - 5*g for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 13) in base 14?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 35.8 - 35.6. Is i at least 575?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 23 = 2. Suppose -b*y + 8 = -3*m - 5, -5*y - 5*m + 45 = 0. What is the tens digit of 6\/y*(-125)\/(-10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6 or -1.70515?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 557489 is divided by 13937?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 1114.\nAnswer: 1\/1114","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -o**3 - 2*o**2 + o. Let b be (5 - 7)\/(-1 - 2\/(-6)). Suppose w - b*s = -0*w, -5*s = 4*w + 17. Determine l(w).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81 + 215 = 4*q. Suppose -10 = -6*w + q. Is 959\/w - 2\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 5 = -5*b. Factor 2\/5*s**2 + b - 2\/5*s.\nAnswer: 2*s*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6991415 to the nearest integer?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -f**5 + 97*f**3 - 63*f**2?\nAnswer: -60*f**2 + 582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 3\/8 (b) -2\/7 (c) 0.5 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -61009 or 0?\nAnswer: -61009","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -676*r - 5*d = -679*r - 65, -2*d + 26 = r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10.01 + 0.01. Let d = -6.9 - m. Let h = -2.3 - d. What is h rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1621 is divided by 85?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -355480 times -0.5\nAnswer: 177740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6\/2753 or -59?\nAnswer: -59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 60141 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -0.5 (b) -0.042 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 0, -2*s - 5*i = 992 + 940. Calculate the remainder when 264 is divided by ((-1)\/3)\/(-1 + s\/(-972)).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 21058.79\nAnswer: 42117.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -131133503?\nAnswer: 131133511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -19*l**5 - 25*l**4 - l**2 - 679*l wrt l.\nAnswer: -1140*l**2 - 600*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 342*l - 23. List the prime factors of b(1).\nAnswer: 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*j**4 - 2 - 1191*j**3 - 2*j + 2*j + 1194*j**3 to h*j**2 + d + a*j**4 + l*j + y*j**3 and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (63 + -66)*(-6 - 400\/(-24))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9459381 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*l - 15*l - 4*y = -14, -19 = 3*l - 5*y. Let n(u) = -924*u**3 + u**2 - 3*u + 1. Is n(l) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 1 g when two letters picked without replacement from ygyy?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-138 + 49 - 63)*(8*r + r - 5*r).\nAnswer: -608*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 < -1672564?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2 - -2.3. Let x = 4.3 - m. What is the biggest value in x, 1\/5, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2935876 and 113764?\nAnswer: 956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -3*x + 0*x + x. Let c(y) = -3137 - 3420 - 27*y + 6557. What is f(c(r))?\nAnswer: 54*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -30691\/4 + 7673. What is the third smallest value in -2, 5, p, -0.84?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 273*j - 12173. Calculate n(45).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 74 - 72. Suppose 0 = 4*m - 4*t - 1 - 23, 17 = o*m - t. Is m a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -30571 + 30571.4. Let w = -2 + 0. Which is the closest to -4.1? (a) 2 (b) i (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4034, 15713, 35206, 62513, 97634?\nAnswer: 140569","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 540, 1046, 1538, 2010, 2456?\n\"Answer: -q**3 - q**2 + 516*q + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -16.47, -2\/5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2546 divided by 110?\nAnswer: 1273\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90976564 is divided by 769?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 13 and 21.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 2*z**3 + 2*z**2 - 2*z + 2. Let r be l(4). Suppose -28 = 3*x - r. List the prime factors of x.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*n - 16 = 18*n. Let s be 8\/(-28) - 316\/(-28). What is the third derivative of 243 - 243 - s*k**2 - k**n wrt k?\nAnswer: -24*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -195*d**4 - 155. Let t(k) be the second derivative of -391*k**6\/30 - 311*k**2\/2 - 319*k. Let u(y) = 5*n(y) - 2*t(y). Differentiate u(w) wrt w.\nAnswer: -772*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**6*g*g\/(g**(-1\/2)*g))\/(g*g\/(g\/g**0*g))**(2\/21) assuming g is positive.\nAnswer: g**(17\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7\/6 (b) -4 (c) -0.4 (d) 1\/7 (e) -429\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(-42)*3 + (-480)\/(-945).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 23491641 to the nearest integer?\nAnswer: 286","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 172*u + 14328 + 2356 for u.\nAnswer: -97","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.003 - 2.303. Let d = g - -2. Which is the second smallest value? (a) 3 (b) 0 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3152 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**1*n**(2\/13)*n**(4\/5)*n**(1\/6))**(21\/5) assuming n is positive.\nAnswer: n**(5789\/650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g**(-2\/3)*g)\/g)**(-16)\/((g\/(g**(6\/7)*g))\/(g*g**4)))\/(((g*g**(-1))\/g)**37\/((g*g*g\/(g*g\/g**0))\/g**(-3))) assuming g is positive.\nAnswer: g**(1208\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9 + -6 - (1 + -2)) + (-5 - 6).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 6182387.9 to the nearest 100000.\nAnswer: 6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 3*g**3 - 58*g**2 + 34*g - 19. What is the tens digit of u(20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*x - 4*x + 4*x**3 - 2*x**2 - 9*x + 19*x to the form m*x**3 + n + w*x**2 + y*x and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 8:38 PM?\nAnswer: 525","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -25872 divided by -154?\nAnswer: 168","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) be the first derivative of 0*q**3 + 2*q**2 + 0*q + 0*q**4 + 0*q**5 - 1\/6*q**6 + 12. What is the second derivative of g(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -40643360 (base 8) in base 15?\nAnswer: -b4e236","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence djfd when four letters picked without replacement from {m: 2, f: 1, e: 2, z: 2, j: 1, d: 5}.\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**2 - 37*l + 304. Let y be q(25). Let w = 14 - 16. Let u(t) = t**2 - 3*t + 3. Let i be u(3). Sort w, y, -1, i.\nAnswer: w, -1, i, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 6*n**2 - 2*n - 8. Let k(f) be the third derivative of 7*f**5\/60 - f**4\/8 - 3*f**3\/2 - 623*f**2 - f. Determine 3*k(b) - 4*u(b).\nAnswer: -3*b**2 - b + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -44, -3, 0 in descending order.\nAnswer: 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -972.235 rounded to the nearest ten?\nAnswer: -970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/((-400)\/(-18)))\/(-3*(-4)\/(-20))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -314*s - 312*s + 1264*s - 310*s - 305*s.\nAnswer: 23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + (1 + (-2 - -3) - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 177\/924 - (-2 - 48\/(-28)) and 121\/32 + (2 - 4).\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 64 - 9*u**3 + 31 + 437*u - 382*u wrt u?\nAnswer: -27*u**2 + 55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7.443 + -0.043. Let p = -20.4 + h. Let s = p + 47.6. What is s rounded to the nearest ten?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = v - 22. Suppose -23 = -5*g + v. Let s(h) = -h**3 + 9*h**2 - 6*h - 9. Determine s(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k + 9. Let a be u(-7). Is 7 a factor of a + -3 + 10*2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 1. Let x be w(-8). Let y be 5 - 1 - (-4 + x). Let r be -5 + 4 + y*2. Which is smaller: -2\/139 or r?\nAnswer: -2\/139","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31, 34, 47, 76, 127?\nAnswer: 206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - (-2 + (0 - -1)). Solve 0*p - 13 = -t + d*p, 0 = -3*t - p - 11 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2798108 rounded to the nearest one hundred thousand?\nAnswer: 2800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -396*k + 696*k - 298*k.\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 4856050 to the nearest one hundred thousand.\nAnswer: 4900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = x**3 - x + 1. Let w(y) = 3*y**3 + 8*y**2 - 8*y + 14. Let j(h) = 4*g(h) - w(h). Calculate the least common multiple of j(8) and 8.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -0*s + s. Suppose 2*f - 12 = 3*o, -o - 3*o - 4*f = -4. Let d be -1*1*-2 + -3. Sort o, d, s in decreasing order.\nAnswer: d, o, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15496229.\nAnswer: 7, 19, 37, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -4\/5 (b) 7 (c) -1\/22 (d) -2\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 5701 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 10*x + 63. Let n be a(-6). Let r(u) = 4*u - 981 - n*u + 907. Let v(f) = 3*f**2. What is v(r(c))?\nAnswer: 3*c**2 - 444*c + 16428","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 9\/10 of a millimeter?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ns when two letters picked without replacement from {n: 1, s: 18}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2144 and 14944.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 85972 divided by -25\nAnswer: -85972\/25","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: What is -231668.977 rounded to the nearest 10000?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 + 2. Let w be z(-2). Suppose w = k - 6. Solve k = a - 5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1521)\/(-286))\/13*(-44)\/11.\nAnswer: -18\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 2*w - 5*w = -35, 5*w = -z. Suppose -h + 5*b = -z, 3*b - 123 - 24 = -3*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 12205, 12239, 12341, 12547, 12893, 13415, 14149, 15131?\n\"Answer: 6*j**3 - 2*j**2 - 2*j + 12203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1 - 2\/(1 - 3). Suppose 15500000 = -v*c + 7*c. Round c to the nearest one million.\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (8\/(-10))\/(2\/30). Find the common denominator of ((-1)\/13)\/((-4)\/(-148)) and c\/(-14)*(-92)\/12.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, r: 2, j: 1, f: 2, x: 4}. Give prob of sequence jffr.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340103 is divided by 266?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 3721\/5 - 122\/5*v + 1\/5*v**2 = 0.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 461807*n + 624 = 461820*n for n.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*r**3*z - r**3 + 328*r**2*z + 96*r**2 - 10429005*r*z wrt r?\nAnswer: -102*r*z - 6*r + 656*z + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 489 divide 45634961?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(3*28)*(-168)\/16?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) be the second derivative of -5065*r**4\/12 + 2*r**3\/3 + 101*r**2 - 2*r - 2548. What is the second derivative of t(g) wrt g?\nAnswer: -10130","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -16*x. Let q be o(-1). Let l = -13 + q. Suppose -5*n + 3 + 28 = 3*i, -2*n + 12 = i. Solve n*a - l*a = 4 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -17229.3 + 18842. What is b rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*-20*(-3)\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**5\/2 - 70*k**4\/3 - 1423*k**3\/6 + 1330*k**2\/3 - 550*k\/3 = 0?\nAnswer: -10, 0, 2\/3, 1, 55","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -59*a**2 + 7436*a - 314. Determine w(126).\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 35\/2671 (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -26*c**2 - 1601*c + 634. Calculate t(-62).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 543027039?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuumttuutsmsssuls. What is prob of sequence tlu?\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 52 divide 2264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10203 is divided by 883?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 24. What are the prime factors of r(9)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*r - 3*r + r)*(-3 + 24 - 3)*(-1 + 1 + 2) in the form v + w*r and give w.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2892201?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 16 = 9*q. Let f = 2976.1 - 2976. What is the biggest value in q, -0.4, f, 0.9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 122872 or 122867?\nAnswer: 122872","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 PM and 12:37 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10814 less than -0.169?\nAnswer: -10814.169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Product of -5 and 703.\nAnswer: -3515","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 23 and 15226299.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-12)\/(-10))*6\/45.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*s + 32*s - 5 = 0 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 10 - 8. Let o = -133\/33 - 271\/132. Find the common denominator of o and (-225)\/20*d\/(-12).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7732.06531 rounded to the nearest one thousand?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 20*m - 17. Let d(x) = -7*x + 6. Suppose 13*n - 70 - 73 = 0. Give n*d(o) + 4*j(o).\nAnswer: 3*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 707 = -4*b, -44*r + 3459 = -39*r + b. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -g**2*i + 243346*g**2 - 619915*g*i wrt g?\nAnswer: -2*i + 486692","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 247 and -31142623637.\nAnswer: -31142623390","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -469 = -17*j - 367 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 71175.11 kilograms to grams.\nAnswer: 71175110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 217 = -2*g + 1711. Let l = 1321 - g. Is (l\/(-5))\/((-34)\/85) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-o + o + 54*o**2)*((-1 - 2 + 5)*(-2 + 1 + 2) + 2 - 1 + 0) to the form n*o**2 + d + b*o and give n.\nAnswer: 162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 314, -52, 0.1?\nAnswer: 314","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.09, -24, -0.1, -2\/3, 23, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13791 + -13803. What is the nearest to -7\/5 in 3\/4, c, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.05689491 and -321288.\nAnswer: -321287.94310509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (7 - 4) + (7 - 13)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(2\/3))**(-6\/13))**(2\/75) assuming q is positive.\nAnswer: q**(-8\/975)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 19*f - 67. Let n be r(-14). Suppose -9 = -p - w - 6, 4*w = n*p - 9. Solve 5*c - u - 33 = -p*u, 0 = -4*c + 4*u + 4 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-262456)\/1855 + (2\/10 - 0). Let u = p + 141. Which is smaller: u or -1\/4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22772 + 22800. Let a(g) be the second derivative of 0*g**2 + 0*g**3 - h*g + 0 - 1\/8*g**4. Find p, given that a(p) = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1, 8, 111, 5 in increasing order.\nAnswer: -1, 4, 5, 8, 111","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13050276 to the nearest integer?\nAnswer: 235","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -28788 and -0.1555?\nAnswer: 4476.534","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j = 5*s + 40, 465*s - 33 = -6*j + 468*s for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.07 and 2.4961656871.\nAnswer: 2.5661656871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the first derivative of 8*n**3\/3 + 44. Let o(m) = -9*m**2. What is o(i(k))?\nAnswer: -576*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -13, 2\/3, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m**3 - 2*m**2 - 13*m. Let h(g) = -699*g**3 + 1399*g**3 - 699*g**3 + 6*g + g**2. What is -3*d(z) - 7*h(z)?\nAnswer: 2*z**3 - z**2 - 3*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -63*u**6 + 2*u**5 - u**4 + 8624*u**2 wrt u.\nAnswer: -7560*u**3 + 120*u**2 - 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**2 - 23*f - 56. Let u be j(-20). Put 2, 1, -5, u in ascending order.\nAnswer: -5, 1, 2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most 3\/39824822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9\/12 - (-39)\/12 - -4. Which is bigger: 11 or l?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 2.28331 litres?\nAnswer: 2283.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -66 divided by -2\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (19\/(-2))\/((-2)\/4). Suppose -5*g = 16 + n. Let t(i) = -i**3 - 8*i**2 - 11*i - 6. List the prime factors of t(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*u - 229 - 103 = 195 for u.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -131.9414\nAnswer: -26.38828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 299641?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0008432041303 to 5 decimal places.\nAnswer: 0.00084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8 + -5. Let f = -9887\/29 + 341. Which is the third biggest value? (a) q (b) 3\/7 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (45\/(-6)*(-16)\/20)\/2. Let j(k) = 3*k**3 - k**2 - 3*k + 7. What are the prime factors of j(n)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0\/(-10 - 2) - -21. Solve u*d = 20*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(78) - (sqrt(78) + sqrt(78)*1)*-5 - (sqrt(78) + sqrt(78) + sqrt(78)*-2*6 + sqrt(78))))\/(-3*sqrt(600)*2 - (sqrt(600) + sqrt(600)*-2*-2)).\nAnswer: 4*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 20021876 or 20021869?\nAnswer: 20021869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/(-4)*(5 + (-232)\/40)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3499296, 13997167, 31493614, 55988637, 87482236, 125974411?\nAnswer: 171465162","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 52*c - 180. What is the tens digit of k(11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 - -8. Let i be (13\/117)\/((-1)\/3). Sort w, -3\/7, i.\nAnswer: -3\/7, i, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1398 - 10366. Let d be ((-6)\/8)\/(19\/t). Suppose -2*n - 147 = s, -214 = 4*s + 4*n + d. What is s rounded to the nearest 10?\nAnswer: -140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 149\/1236 and -43\/824.\nAnswer: 2472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -31? (a) -4 (b) -3\/19 (c) -44 (d) 4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 + -17 - (-2 + -1) - (12 + -8).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1355 and 6233?\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2750 divided by -20\nAnswer: -275\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -1*2*sqrt(99).\nAnswer: -6*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-54 - 58 + 897*g - 3288*g + 112 - 1397*g)*(0*g**2 - 3*g**2 + 7*g**2) to the form b*g**3 + r*g**2 + s + t*g and give b.\nAnswer: -15152","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 6, d: 4, z: 4, g: 1}. What is prob of picking 2 d and 2 z?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**4 - 38*b**3 + 218*b**2 - 498*b + 396.\nAnswer: 2*(b - 11)*(b - 3)**2*(b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4 + 3. Let l be (t - 1)\/2 + 2. Let h = -216 - -211. Put 2, l, h in decreasing order.\nAnswer: l, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 707.\nAnswer: 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**4 - 5*l**4 + 5*l**4 + (-2*l**4 - l**4 + l**4)*(-2 + 4 - 3) - 2*l**4 - l**4 + 11*l**4.\nAnswer: 12*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 336 and 4144.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 497 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2886 by -67.\nAnswer: 2886\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2155\/(-6034)*(-4)\/5?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 - 3*t**3 + t**3 + (-33*t**3 - 3*t**3 + 2*t - 4*t)*(4 - 5 + 2).\nAnswer: -35*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9\/6)\/((-15)\/160). Let h = 12 + -39. Let f = z - h. Is 11 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ddcdddcccdccddccxcd. Give prob of picking 1 c and 1 d.\nAnswer: 9\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 864070, 864072, 864074?\nAnswer: 864076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is (-55)\/(-2)*936\/52 a multiple of 55?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -70\/1803 and 49\/561935.\nAnswer: 1685805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 44732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1, -1, -473?\nAnswer: -473","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-85)\/3 + -184*(-97)\/776?\nAnswer: -16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l = -l - 170. Let h(n) = -n + 18. Calculate the remainder when l is divided by h(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 242, -2, -1?\nAnswer: 242","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 5*v**5 - 12100*v**4 - 38060*v**3 + 4168090*v**2 - 30657465*v + 45140490 = 0.\nAnswer: -23, 2, 9, 2423","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - 59 - (6 - (8 - -3) - 1)?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (35 - 39) + -2 + (-7 - 13)?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2249935 is divided by 3807.\nAnswer: 3805","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-10)*-1)\/((-99)\/330)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mbo when three letters picked without replacement from mbmobcmmmmmbmoomco?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (0 - (-6)\/16) + (-174)\/(-48)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -207*i**6 + 7*i**2 - 11 wrt i.\nAnswer: -24840*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -308620, -617240, -925860, -1234480, -1543100?\n\"Answer: -308620*c","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*k - 28 = 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5600000 rounded to the nearest one hundred thousand?\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*v + 15*v - 4*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*n = 9*n - 2. Let v = n + 3. Let k(g) = 4*g**3 + g**2 - 2*g + 2. Let u(p) = 7*p**3 + p**2 - 3*p + 4. Let l(x) = -5*k(x) + 3*u(x). What is l(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m - 87. Let p(r) = 2*r - 24. Let w(x) = f(x) - 4*p(x). Let t(k) = 37*k**2. Give t(w(l)).\nAnswer: 1813*l**2 - 4662*l + 2997","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -376 - -2359\/6. Calculate the common denominator of b and 33\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 30 = 3*i. Suppose 0 = i*n + 16 - 58. Calculate the highest common divisor of 7 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35215675.\nAnswer: 5, 11, 37, 3461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -11*v**2 - 5036*v + 61. Let m(f) = -10*f**2 - 5035*f + 54. Give -8*h(o) + 9*m(o).\nAnswer: -2*o**2 - 5027*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/29 in 0, 2\/11, -2\/15?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18358817 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*o**2 - 20093 + 2*o**2 - 13668 - o + 4*o**2.\nAnswer: 4*o**2 - o - 33761","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggdgdgghkdddgkggdg. What is prob of sequence kghg?\nAnswer: 1\/510","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, i: 4, t: 8, x: 4}. What is prob of picking 1 x, 1 i, and 2 y?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1029*h**3 - 358*h**2 - 2*h + 6242370 wrt h?\nAnswer: 3087*h**2 - 716*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -9. Calculate the lowest common multiple of g and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**3 - 3*m**2 + 3*m. Let a be o(2). Suppose 4*u = a*u - 90. Let d = -29 - u. Solve -3*x - d = -7*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16719060154 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 22*m + 97. Let c be r(-4). Solve 0 = -c*f + 6*f - 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccccyccyccccyyyccc. What is prob of sequence yycc?\nAnswer: 13\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 780*q - 388*q - 278 - 395*q to the form x*q + d and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 979860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -204547 + 1227283\/6. Let r(h) = h**2 - 8*h + 9. Let b be r(7). Factor -s - 1\/2*z**3 - 1\/6*z + 5\/6*z**b.\nAnswer: -(z - 1)**2*(3*z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 939931190 to the power of 1\/9, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 2\/7, -0.3, 0, 109?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*j - 2100 = -0*j - 2700 for j.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -2*s. Let d(u) be the third derivative of u**5\/60 - u**4\/24 + u**3\/6 + u**2. Let a(x) = 3*x**2 - 2*x + 2. Let r(o) = 3*a(o) - 6*d(o). Give r(q(t)).\nAnswer: 12*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -5*f**2. Let k(q) be the first derivative of -q**5\/60 - 2*q**3\/3 - 5. Let l(s) be the third derivative of k(s). What is l(t(z))?\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 31 + 28. Let b = 58 + -92. Let l = u + b. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11959.\nAnswer: 11959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**(-20)*j**(-10))**1 assuming j is positive.\nAnswer: j**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -4*w + 209, 108 = w - 2*b + 33. What is the remainder when w is divided by 2\/(-1) - -18 - -1?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = 2*r - d, -r - 3*d + 13 = 9. Is 6 a factor of (r\/(-3))\/((-30)\/22230) - 1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.2, -144, -0.6, 3\/4?\nAnswer: -144","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.3791 + -0.3191. Put i, -2\/7, -3, -4, 1 in descending order.\nAnswer: 1, i, -2\/7, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 108 = -4*a. Calculate the lowest common multiple of a and (-8)\/(1 + 15) - 19\/(-2).\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -467, -469, -471, -473, -475, -477?\nAnswer: -479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 979 = -96*l - 227 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 24 - 23.5. What is the third biggest value in 2\/13, m, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((1*sqrt(7)*-1 - ((sqrt(7) - 1*(sqrt(7) - sqrt(28)\/sqrt(4))) + sqrt(7))) + 4))**2.\nAnswer: -24*sqrt(7) + 79","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 345 = -l. Suppose -2*m + l = -33. What are the prime factors of m?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6149\/4 - -1557. Find the common denominator of 7\/52 and u.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 2 = -m - 13, -2*m + l + 3 = 0. Suppose -5*b + 10 = -5*t - 5, -5*b + 2*t = -30. Let x = -6 + b. Solve m = -x*s + 6*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-g**5 + 0*g**5 - g**5)*(-2 - 5 + 5) - 3*g**5 + 5*g**5 + 4*g**5 + 4*g**3 - 3*g**3 - 126*g + 128*g + 3*g**5 - g**2.\nAnswer: 13*g**5 + g**3 - g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (4\/(-4) + 1)\/(-2). Suppose c*p + 336 = 4*p. Is 10 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 109 = -5*w + 89 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, j: 3, i: 2}. Give prob of sequence ii.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24048 + -11?\nAnswer: 24037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 165685477 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -28 + 28*k + 47 - 14*k. Let d be n(-6). Let q = 226 + d. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1312040, 1312039, 1312038, 1312037?\nAnswer: 1312036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -28*q**4 + 389*q**3 - 126*q**4 + q + 153*q**4 + 2 + 3*q**2 in the form m*q**4 + u*q**3 + o + i*q**2 + r*q and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 45 - 0. Suppose p - 2*w - 3 = 0, 0 = -2*p - p - 4*w + 59. Suppose -7*k = -p*k + 90. Solve -c + 4*g - x = 4*c, 0 = -3*g + k for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1411\/5 - -30937\/110. Let b = -3\/7420 + 460337\/734580. What is the common denominator of b and a?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 2*v + 1. Let h be u(3). Let g = -8 - h. Suppose 4*b = x + 19, x - g*x = -5. Calculate the remainder when b is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10258 is divided by 76?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26810)\/(-1330) + 40\/(-2).\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.5972 + 0.29. Let f = 0.596 + -0.296. Let j = u + f. Round j to 3 decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1240119 is divided by 1692.\nAnswer: 1575","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 11*d**2 - 11*d - 5. Let o be a(12). Suppose -9*l + 6 = -o*l. Let 8*t + 6*t**2 - 4*t + 5*t**3 - 3*t**l + 0*t**2 = 0. What is t?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*x - 4*x - 9*x)*(6*x**3 + 0*x**3 - 4*x**3).\nAnswer: -56*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 1\/3, -2, 0, -0.31, 11\/6, 5, 1\/10?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.87 + 1.27. Let z = 522 + -522. Which is the closest to z? (a) -1 (b) -9 (c) 1\/3 (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (19568\/560 + -33 - 110\/35)\nAnswer: -66\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 126933.\nAnswer: -8\/126933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 697, 689, 667, 625, 557, 457?\nAnswer: 319","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 2*b**3 - 11*b**2 - 7*b - 90. Let g be l(7). What is the highest common divisor of 758 and g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 m when four letters picked without replacement from {x: 8, m: 2, r: 4, n: 3}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, -28, -628, -14, 4, 3 in descending order.\nAnswer: 4, 3, -14, -17, -28, -628","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2950 + 3004. What is the highest common factor of p and 2349?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 5*t - 92 = -0*p, -3*t = 2*p + 61. Which is smaller: -30 or p?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -2\/17, 10, 1\/46, 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c - 20. What is w(-3)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*g = 9*g - 312. Calculate the lowest common multiple of 24 and 16\/40 - 1*g\/(-10).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t**3 + 4*t**2 - 18*t - 67. Let b be s(-4). Let d(j) = j**2 - j - 2. Calculate the least common multiple of (-40)\/(-48) - b\/(-42) and d(5).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a + 111 - 10*a + 51 - 111*a**2 + 52 + 8*a wrt a.\nAnswer: -222*a - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(51) - (sqrt(5100)*-3 + sqrt(5100) - sqrt(5100)))\/sqrt(3).\nAnswer: 3 + 31*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 12 and 1986.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -4*q + 2. Let k be f(1). Let a(z) = 2*z**2 - 2*z - 1. Let y(h) = 7*h**2 - 15*h - 5 + 4*h + 3*h**2. Determine k*y(n) + 11*a(n).\nAnswer: 2*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-24)*(-2)\/(-9)*-9\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 5466*z. Let n(a) = -20332*a. Determine s(n(b)).\nAnswer: -111134712*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes before 7:21 PM?\nAnswer: 7:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 80 + -18. What is the common denominator of i\/8*1\/(-2) and -79\/6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -18*d. Suppose s = -2*r + 129, -4*r - 15*s + 248 = -11*s. Calculate the remainder when r is divided by w(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24825 times 11\nAnswer: -273075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 101, -0.3, 8?\nAnswer: 101","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 18 = 3*p - p, -4*p = 8. Do -13 and b have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 2*h + 16. Determine g(-7).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -88*-0.2.\nAnswer: 17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o - 2*o + 2*o + 2)*(-112*o + 112*o + 16*o**2).\nAnswer: -16*o**3 + 32*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11655 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: 4.8 * -4598.6\nAnswer: -22073.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 783336?\nAnswer: 2, 3, 127, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238*f - 160501 = -53*f - 5412096. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92*h - 106*h + 288*h - 115*h.\nAnswer: -25*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-30)\/12*(-2)\/5*3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 3*f - f**2 + 20*f**4 - 21*f**4 + 6*f**2 - 2*f**3 in the form a + d*f**2 + x*f**3 + l*f**4 + w*f and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -891828345 or -891828347?\nAnswer: -891828345","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 - -112?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 equal to 152?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of -1\/70*f**7 + 26\/25*f**6 + 5346\/5*f**3 - 519\/20*f**5 + 8748\/5*f**2 + 0 + 85*f + 1971\/10*f**4. Factor i(a).\nAnswer: -3*(a - 18)**3*(a + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167472807773 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -2 - 10\/(-1) - (4 + 2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1435355232?\nAnswer: 2, 3, 29, 541, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -214*m - 995 - 16*m + 993.\nAnswer: -230*m - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/6 + (-676)\/390)\/(179\/(-5370))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6020.687041 rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*f - 7*f + 3*b - 3, -b + 9 = 3*f. What is the second derivative of -3*h - h**4 - 2*h**4 + 3*h - f*h wrt h?\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/98*2*(-63)\/(-27)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -10*f + 18. Factor 1 + 36*w + w**f + 0*w**2 - 32*w + 2.\nAnswer: (w + 1)*(w + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 33.769 - 33.60301. Round c to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8185.040568 rounded to the nearest 100?\nAnswer: 8200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0599 and 0.93.\nAnswer: 0.055707","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54692875.\nAnswer: 5, 437543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 + (144 - 130 - (7 + -2)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 494.123 to the nearest 10.\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14 by 63027621.\nAnswer: -14\/63027621","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-34)\/10 - ((-215)\/(-25) + -8). Let j(g) = g**3 + 6*g**2 + 8*g + 2. Let s be j(o). Put s, -1, 1 in ascending order.\nAnswer: -1, 1, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-i**3 + 0*i**3 + 3*i**3)*(i - 3*i + 0*i) + (-2*i**3 + 3*i**3 - 2*i**3)*(2 + 16*i + 0 - 25*i) as q*i**3 + c*i + l*i**2 + p + x*i**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -8*s**3 + s**2 - 1995*s + 7970. Determine t(4).\nAnswer: -506","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/8 (b) 2\/3 (c) 1\/195641 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*o + 2*n - 6, -3*n + 10 - 1 = 5*o. Let c(b) = -b**2 - 2*b + 24. Is c(o) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -85, -524, -969, -1420, -1877, -2340, -2809?\nAnswer: -3284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**3 - 5*r**2 + 4*r. Suppose -j = 3*m - 11, j - 15 = -16. Let h be w(m). Solve h = 3*d - 1 + 7 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1115 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -512\/30771 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u\/(u\/u**(-6))*u**(-4)\/u*(u\/(u\/((u\/((u**(-5)*u*u*u)\/u*u))\/u)*u))\/(u\/(((u\/(u\/((u*u**4)\/u)))\/u)\/u)) assuming u is positive.\nAnswer: u**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (68\/(-6))\/(2\/(-162)). What is the remainder when (-2)\/(-11) - w\/(-33) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758.\nAnswer: 2, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000128187 rounded to six dps?\nAnswer: 0.000128","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (0 - -3) - (-88 + 26 - -37)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 246.2 + -272.2. Let o = -22 - -87\/4. Sort -1, o, m.\nAnswer: m, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 71 and 37448311?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 146754666*k**4 + 2*k**2 + 75484836 wrt k.\nAnswer: 587018664*k**3 + 4*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -39 + 42. Let x be -1 + (0 - (4 - 2)). Let h = -53\/22 - -10\/11. What is the closest to r in x, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(17) + 1) - sqrt(34)\/(sqrt(10)\/sqrt(5)) - ((sqrt(833) - (sqrt(833) + 1))*3 - (0 + sqrt(833) + -4)).\nAnswer: -6 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70341 = 96*h + 73221 for h.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**3 - 20*u**2 + 18*u + 26. Let y be b(19). Solve -3*a - 3*h = -a - y, 2*a + 2*h - 2 = 0 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of 4*v**3\/3 - 7*v - 2. Find the first derivative of f(h) wrt h.\nAnswer: 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 32 = 4*c, 12 = 5*c + 2*w - 11. Let h = -237 + 240. Solve 0*p - 3*q + 17 = -5*p, 15 = -h*p + c*q for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17677, -17676, -17677, -17680, -17685?\nAnswer: -17692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 0*v + 16 = 7*v - 2*p, -5*v = -2*v - 2*v - 0*p + p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/((1*-2)\/10). Suppose 185*v = 197*v - 24. Suppose 4*q + 3*b = w*b + 184, -3*b + 76 = v*q. Is q a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30763*b**2 - 226916*b**2 + 81244*b**2 - 221743*b**2.\nAnswer: -336652*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 277981049 and 881.\nAnswer: 881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 520?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven halves of a millennium?\nAnswer: 42000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*81\/(-18)*(-6)\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -84 - -2c?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 606 + -1289. Let m = v + 1374. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 80846 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -5*g**2 + 3*g + 2. Let l(t) = 6*t - 32. Let u be l(6). Let f(m) = -4*m**2 + 2*m + 2. Calculate u*f(b) - 3*r(b).\nAnswer: -b**2 - b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 4. Suppose 3*r + 5*l = 23, r + 3*l = -2*r + 21. Let t be r\/21 + (-75)\/(-7). Solve 4*p - i + 12 = 3*i, -b*p + 5*i = t for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 41.7 and 16200?\nAnswer: 16158.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2 (b) 0.09 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -10, 0.2, -0.6, 0.23, -4\/9, 1\/2?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**2 - 34*h - 463. Determine f(26).\nAnswer: -671","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(140)\/(sqrt(20)\/sqrt(5) + sqrt(4) + sqrt(4)) + -2*sqrt(35)*-2)\/((sqrt(84) - (sqrt(84) - 3*(-5*sqrt(84) + sqrt(84))))\/sqrt(12)).\nAnswer: -13*sqrt(5)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 - (5 + -2 + 2 - (-250 - -252))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cvvc when four letters picked without replacement from {v: 1, t: 1, c: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.39 less than -0.029?\nAnswer: -2.419","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(88) + 1*sqrt(88))*5 + 5*-3*sqrt(88))\/((2*sqrt(72)*1)\/((2*sqrt(72))\/sqrt(8))).\nAnswer: -5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*14\/2 + 2. Suppose -d = -4*g + g. What is the second derivative of 3 - g - 2*p + p**3 + 5*p wrt p?\nAnswer: 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 59\/5 of a century?\nAnswer: 118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 208*p**5 - 286*p**4 + 286*p**4 + (p**2 - 3*p**2 + 3*p**2)*(2*p**3 + 1 - 1) + 2*p**5 - 2*p**5 + 2*p**5.\nAnswer: 212*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 504575371 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4620318?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 54869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5 - 17 = 0. Let l be (-1)\/q - 55\/(-30)*-2. What is the remainder when (109\/4 - 0) + l\/16 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(187)\/(-1*sqrt(1331)) + -6*(5 + 1*sqrt(17)))**2 + -1.\nAnswer: 4020*sqrt(17)\/11 + 185092\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/2 - 50\/24. Let o = -14 - -17. Suppose -8 + o = -z - v, 5*v - 25 = 2*z. Is z >= f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 342*g + 156*g + 611*g + 200*g.\nAnswer: 1309*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30109*g - 9677487 = -30140*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + (51\/17 - (1 + -3)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (1 + (-82)\/(-14))\/(5\/980)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25577.63mm in centimeters?\nAnswer: 2557.763","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 2*m + 12040 = 5*w, 0 = 3*w + 2*m - 7204. List the prime factors of w.\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -564*u**2 + 115. Let s(k) = 141*k**2 - 29. Calculate -2*a(y) - 9*s(y).\nAnswer: -141*y**2 + 31","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u - 1. Let s(n) = 3*n**2 + 3*n - 3. Let x be 18*(-5 - 66\/(-12)) + 0. Give x*j(p) - 3*s(p).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2 - 6*k + (3 - 5 + 0)*(4 - 4 + k) - 2*k - k + k - k - k + 3*k + 3*k - 5*k + 0*k.\nAnswer: -11*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i**2 - 19*i**4 + 2*i**2 - 13*i**3 + 42*i**4 - 8*i**4 to t*i**4 + x*i**3 + m + n*i**2 + g*i and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = 12*b**2 + 1 + 2*b + 7*b**2 - 7*b**2. Let z be 10\/30 + (-14)\/6. What is the tens digit of l(z)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 283 - 94. Let k(g) = -6*g + 189 - t. Let y(f) = -7*f. Let c(d) = 36*d. Let j(v) = 2*c(v) + 11*y(v). What is j(k(q))?\nAnswer: 30*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/24 of a century?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4081*f + 4156*f - 8185*f - 1 + 0.\nAnswer: 52*f - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2099866 and 141?\nAnswer: 6299598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -7*z**2 + 7*z + 12. Let x(g) = -g**2 + 1. Give -b(y) + 4*x(y).\nAnswer: 3*y**2 - 7*y - 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 313 - 1563\/5. Let p = -38.3 + 38.5. What is the fourth smallest value in 0.6, -1.1, p, a?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -8*m**2. Let o(p) = 4*p**2. Let i(r) = -2*j(r) - 5*o(r). Let z(c) be the second derivative of -19*c**3\/6 - c**2\/2 - 2264*c. Calculate i(z(g)).\nAnswer: -1444*g**2 - 152*g - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 611 + -392. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 69\/22377100 and -59\/394890.\nAnswer: 67131300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 610 and 452.\nAnswer: 137860","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - -5c6?\nAnswer: 5cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14 - -7. Let o(h) = h + 5. Let c be o(k). Let i be -16 + -2 - c\/1. Round i to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2056488346 rounded to two dps?\nAnswer: -0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9 - -15. Suppose 2*s + 2 = t. Find the third derivative of -2*f**s + f**6 - f**6 - f**6 wrt f.\nAnswer: -120*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 PM and 4:14 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1, 128, 507, 1262, 2519, 4404?\n\"Answer: 21*p**3 - p**2 - 15*p - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 69*w - 33*w + 2*w**2 + 11 - 35*w as h + p*w**2 + b*w and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/300 - g**4\/60 + g**3\/30 - 44*g**2. Factor z(x).\nAnswer: (x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 273*b**2 + 22112*b - 125. Determine j(-81).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 8:38 AM?\nAnswer: 12:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z + 3*z = 6. Let f(c) = 2 + 20*c - 1 - 20*c - 2*c**z. Give f(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 122334?\nAnswer: 122334","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8, 13, 20, 29, 40, 53?\n\"Answer: w**2 + 2*w + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/(-27)*(-45 - 0). Let c be (-1632)\/(-10) - (-12)\/b. Suppose c + 44 = 4*p. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 572\/6 - 2\/(-3). What is the greatest common divisor of n and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 903?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the second derivative of -3*z**5\/5 - z**4\/24 - 7*z**3\/2 + 47*z**2 + 63*z. Let b(t) be the first derivative of v(t). Differentiate b(d) wrt d.\nAnswer: -72*d - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*d**3 - 40*d**2 - 56*d.\nAnswer: -2*d*(d + 2)*(3*d + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*s + 935 = -10*s. Let h = 283 - s. Does 18 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from ckkccccvvkcccckkccc?\nAnswer: 22\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 5703529.29 to the nearest 10000.\nAnswer: 5700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -30\/160545661?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p = -121 + 241 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -836, -3479, -7890, -14075, -22040, -31791, -43334?\nAnswer: -56675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 51 - 2 - (-302 + 366).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9133, 9132, 9131, 9130, 9129, 9128?\nAnswer: 9127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 2*b**3 + 2*b**2 + 2*b - 7. What is the smallest common multiple of 39 and c(2)?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7765 is divided by 179?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -49, -198, -445, -790, -1233, -1774, -2413?\n\"Answer: -49*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the second derivative of -2*r**7\/21 - 4*r**6\/15 + 2*r**5\/5 + 4*r**4\/3 - 2*r**3\/3 - 4*r**2 - 86*r. Find j such that a(j) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (t + 0*t - 1 - 1)*(4*t + 6*t + 3*t).\nAnswer: 13*t**2 - 26*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2195 - 2194. Let w = 17 + -35. Let f = w + 5. Sort f, z, 0.3 in increasing order.\nAnswer: f, 0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.08 in 2, -1346, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d - 3*o = 8*d - 335, -2*o - o = -4*d + d + 246 for d.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 40\/1017 and -75\/37742.\nAnswer: 339678","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 45*f**3 - 1056*f**2 - 721*f - 126. Let m(c) = 630*c**3 - 14785*c**2 - 10095*c - 1765. Let h(v) = 6*m(v) - 85*r(v). Let h(d) = 0. Calculate d.\nAnswer: -1\/3, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1505\/14*(-924)\/(-1785) + 84\/238\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 16*j**2 - 20*j + 219. Let g be l(12). Suppose 2*f - s - g = 0, f + 4*f - 5697 = -s. What is the tens digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in -1, 1\/21, -3\/4, -1.8, 1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1002 (base 3) to base 2.\nAnswer: 11101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2\/63 + -59\/126. Let g = 126 - 1013\/8. Let t = g - o. Is t less than 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 450*f**4*v**3 - 4*f**4 - 9*f**2*v - f*v**3 - 36*v**3 - v wrt f?\nAnswer: 10800*f*v**3 - 96*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 127519489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 12 (base 11) to base 6\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 961586 and 32732?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6)\/(-18) + (-1)\/3. Suppose g = 6 - s. Calculate the common denominator of g and -55\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 4 - 2)*(-2 + 2*n**2 + 2) + (2*n - 5 + 5)*(-4*n + 0*n + 2*n - 2 + 2 - n + (-1 - 2 + 1)*(5*n - 4*n - 2*n) + 3*n + n - 3*n - 3*n - 4 + 4).\nAnswer: -22*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, j: 1, q: 2, m: 1, f: 4}. Give prob of sequence fjx.\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.04758239 rounded to three decimal places?\nAnswer: -0.048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, 16, 166, 460, 946, 1672, 2686?\nAnswer: 4036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 22 - -12. Suppose 5*g = -5*f + x + 26, -3*f - 100 = -5*g. Calculate the remainder when (-6)\/(-4) + 63\/2 is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11 or -87?\nAnswer: -87","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1069 + 1067 - 2136 - 160*s.\nAnswer: -160*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 878.\nAnswer: 2, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 15932374 and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 72749, 72750, 72751?\nAnswer: 72752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 75598709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 641 minutes before 10:22 PM?\nAnswer: 11:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 12 + 203223223?\nAnswer: 203223301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(((-4 + sqrt(11) + sqrt(11) + -1 - sqrt(88)\/sqrt(200)) + -4)*5)**2.\nAnswer: -4050*sqrt(11) + 14580","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -7*w**3 - 3*w**2 - 4. Let q(f) = -f**3 - 5*f**2 + f + 2. Let m be q(-5). Let j be z(m). Suppose 4*u - 446 + j = 0. Is 18 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.018093 rounded to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**2 - 6*s - 4. Let t be d(7). Suppose y - 2*c - 10 = 0, 0*c - c = t*y - 65. What is the highest common divisor of 80 and y?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -334\/17 + 22415\/119. Let t = 172 - r. What is the common denominator of t and 116\/(-22) + (-1)\/(-1)?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10224, -20450, -30676, -40902?\nAnswer: -51128","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = u + 10. Let t be l(-8). Suppose h = t*h - 12. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w**3 + 80*w**2 + 88*w + 3494. Give u(-40).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express -1667 + 1667 + 2*w**2 as k*w + o*w**2 + z and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -7 - -8. Let s = k + -1.3. What is the closest to -1 in 2, -0.1, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1242477, 2484956, 3727435, 4969914, 6212393?\nAnswer: 7454872","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 133 and 7363279?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/40 of a meter?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (16 + -1)\/((-9)\/(-12)). What is the remainder when 9 is divided by 2\/5 + 92\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 97466?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31125901.\nAnswer: 31125901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27 and 144.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -23, -157, -389, -719, -1147, -1673, -2297?\n\"Answer: -49*c**2 + 13*c + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 8\/27729 and -56\/10557?\nAnswer: 10842039","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -o**2. Let i(w) = 66 - 53*w - 140 + 74. Determine j(i(v)).\nAnswer: -2809*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.363006ml?\nAnswer: 0.000363006","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -15435 (base 6) in base 10?\nAnswer: -2543","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add together 354112.8841802 and 5.\nAnswer: 354117.8841802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = -76 - 214. Let v = h + 119. Let p = -31 + v. Is 14 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36 - i**2 + 17*i + 8*i**2 - 3*i**2 + 7*i.\nAnswer: 4*(i + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85*h + 86*h + 5*l + 22 = 0, 4*h - 2*l - 22 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17178672?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 288 + -288. Is t smaller than 2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -2*r - 2. Let l(w) = 34*w + 37. Let s(o) = 5*a(o) + l(o). Let u be s(-1). Solve -5*v = -c + 4, 0 = -5*v + u*c - 8*c + 20 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -34, 5, 19429 in descending order.\nAnswer: 19429, 5, -1, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -424 bigger than -755?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (2771 - 2) + (-2 - -1) + -1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -2*v**2 - 14311*v - 328086. Calculate f(-23).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 56347226?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b. Let k(w) be the first derivative of -1910*w + 1934*w - 5*w**2 + 3*w**2 + 92. Give k(z(y)).\nAnswer: -8*y + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -81*u**2 - 65*u**2 + 83*u**2.\nAnswer: -63*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 32503572 to the power of 1\/2, to the nearest integer?\nAnswer: 5701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) be the third derivative of 1\/60*v**5 + 0*v + 0 + 1\/4*v**4 - 5\/6*v**3 - 6*v**2. Determine u(-6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + 31*p**2 - 13*p + 5*p + 2542 - 22*p**2 - 2532. Calculate o(-10).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -10*c**3 + 3*c**2 - 3*c**2 - 2*c**3 + 8. Let w(n) = 2*n**2. Give o(w(u)).\nAnswer: -144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/4))**(4\/13)\/((((a*a**(-1))\/a)\/a)\/((a**3*a)\/a*a*a*a*a))*(a**(-6\/7)\/(a*a**(-9)))**(27\/2) assuming a is positive.\nAnswer: a**(9601\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - d**2 - d**4 + d**4 + (2*d**3 + 2*d**3 - 2*d**3)*(-2*d + 4*d + 9*d)*(-105 + 123 - 76).\nAnswer: -1275*d**4 - d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2 + -1*sqrt(17) + sqrt(17)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -16 (base 7) to base 13.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28533477*s**3 + 6*s**2 - 306*s - 775.\nAnswer: 171200862","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 12) to base 16\nAnswer: d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 w when two letters picked without replacement from eeewwewewee?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that i**2 + 133*i = 0.\nAnswer: -133, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -4, -16, -5?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 4*x**3 - 35*x**2 + 33*x + 37. Is c(17) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5*(-4)\/30 + (-12)\/(-9)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 != 52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(77)*6 + -5*(-1*sqrt(77) + sqrt(77)))\/((sqrt(84) - -4*2*sqrt(84))\/sqrt(12)).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3.08 - 0.08. Let h = 130.691 + 0.309. Let t = 127 - h. Which is the nearest to -0.2? (a) i (b) t (c) 0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1684220646.7 less than 0.2?\nAnswer: -1684220646.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1095 is divided by 167?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 225126 is divided by 2541?\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5 = 30. What is the first derivative of -291*j + q + 291*j - 14*j**4 wrt j?\nAnswer: -56*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -278 + 2783\/10. Is j smaller than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -4 + 2 - -8 - (186 + -184).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1133404 to the nearest integer?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 a factor of 36422707?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 + 0)\/(-2) - 0. Let o(x) = 3*x**3 - 4*x**2 - 29*x - 2. Let i be o(4). Put i, 2, u in ascending order.\nAnswer: u, 2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13007727989 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5197?\nAnswer: 5197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 7*545581\nAnswer: 3819067","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -3419 plus -2898662030?\nAnswer: -2898665449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-30)*v)\/((v**(-16)*v)\/v*v) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(130) + sqrt(130) + 1*(sqrt(130) + (sqrt(130) - (sqrt(130) + -1*sqrt(130)))))*-1)\/((sqrt(270)*-1)\/((sqrt(18)*2)\/sqrt(6))).\nAnswer: -16*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 - 14.1. Let w = s - -0.1. What is the smallest value in w, -0.4, -0.5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -1*(2 - (2 + -3)). Let f be 1 + -1 + (6 - 2). Let m = -1 - f. Sort m, -4, n in increasing order.\nAnswer: m, -4, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287125189.\nAnswer: 13, 17, 1299209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1100011010 (base 2) to base 16.\nAnswer: 31a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -o**3 + 8*o**2 - 5*o - 11. Let j be i(7). What are the prime factors of (226 - j - -3)\/2?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:52 PM and 8:39 PM?\nAnswer: 107","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 5*q**2 - 6*q + 6. Suppose -9*o + 12*o - 51 = -3*l, 5*o = -4*l + 76. Calculate the smallest common multiple of d(6) and l.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4745738929 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*p + 5*m = 38, 11*p - m + 2053 = 15*p + 2023 for p.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 - 2*z**2 - 3*z + 3. Let j be k(3). Let h(p) = -p**3 + 5*p**2 - 4*p + 2. Let l be h(j). Let f = -7 + 9. Solve f*x = -2*x - l for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x. Let r(i) = -i**2 + 5*i. Let u(a) = 2*a**2 - 32*a + 115. Let l be u(6). Give l*v(z) + 6*r(z).\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105276 divided by 1395.\nAnswer: 1132\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 19587 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**2 + 2*p + 5. Let c be g(3). Suppose 15 = c*b - 2*l - 7, 4*l = -5*b + 91. Solve 2*d = w - b, -d - 40 = 2*d - 5*w for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, -7, -3, 85 in increasing order.\nAnswer: -7, -4, -3, 3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.4 + -0.3. Let u = -121677 + 121680. Which is the fourth biggest value? (a) -4\/3 (b) u (c) 0.5 (d) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -1.19 (b) 56 (c) 0 (d) -0.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 2.5, 0.04, -10.66 in decreasing order.\nAnswer: 2.5, 0.04, -1\/2, -10.66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:24 PM and 12:21 AM?\nAnswer: 117","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a litre in millilitres?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 - -13. Suppose 0 = 3*d - x*d + 25. Find the second derivative of -2*z**5 + 3*z**5 - 3*z - 7*z**5 - z**d wrt z.\nAnswer: -140*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 17*l**2. Let u(r) = 202350*r**2. Calculate 12141*f(j) - u(j).\nAnswer: 4047*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-4)*x)\/(x\/x**1))\/((x\/(x\/(x**6*x)))\/x**(5\/4)))**(-6\/13) assuming x is positive.\nAnswer: x**(105\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4\/7, -3, 2\/11, -4, 8?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 67 - 13 = -5*f, f - 12 = -11*z. Let x = 25 + -12. Suppose x + 32 = 3*u. Solve -2*c + 4*c - u = 5*r, z*c = -3*r + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 221 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -20 or -101\/5?\nAnswer: -101\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 2127921 divided by -3\nAnswer: -709307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -213*l + 181*l = -64 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9494901?\nAnswer: 3, 13, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:10 AM and 3:03 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 5 - 19. Solve z*k - 4 = 4*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v + 110. Let x be t(4). What is the greatest common factor of x and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10112 + -102120111?\nAnswer: -102201000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -11034341 - -13232?\nAnswer: -11021104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-291 - (-39 - 82)) + 61.\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**4 - 3*w**4 + 3*w**4)*(338 - 512 - 2634 - 1734).\nAnswer: -4542*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -49. Suppose -38 = -f - q, -174 + x = -3*f - q. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -122*d**3*o - d**2*o - 2*o + 20 wrt d.\nAnswer: -366*d**2*o - 2*d*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/42)\/(((-33)\/24)\/(-11))?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 181 times 1?\nAnswer: 181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -20.6266 or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/3*1*1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43432202057 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 2849.787ml in litres?\nAnswer: 2.849787","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -692006 and -0.5.\nAnswer: -692006.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*h - 63 = -91*h + 40*h - 4*d, -h + 9 = -4*d for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*a + 86*a**3 - a - 89*a**3 - 3*a.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + 2 - (-5 + (-19 - -18)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -o - 80. List the prime factors of o.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-329)\/564)\/(2\/(-24))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes after 1:28 AM?\nAnswer: 6:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-254 + 154 - 164 - 2 - 3 + 4 + 1 + 2 - 5 + (-3 + 1 + 1)*(0 + 2 - 4))*(2 + 1 - 6)*(0*z**3 - 2*z**3 + 5*z**3).\nAnswer: 2385*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**(2\/7)*t\/t**(-6)*t**(-2\/3)*t**1 assuming t is positive.\nAnswer: t**(160\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -6594c - 5?\nAnswer: -65954","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 20\/51? (a) -0.1 (b) 4 (c) -0.4 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14827963*t**4 - 146154183*t**2 wrt t.\nAnswer: 355871112*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((3\/7)\/3). Suppose o = z + 4. Solve 3 = 5*f - 4*i, 0*f = 5*f + z*i + 11 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 45*y. Let o(a) = 14 - 21 + 7 + 5*a - 4*a. Give x(o(m)).\nAnswer: 45*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 33 + 309. Let t be 10\/12*(-138)\/w. Let z = -6 - -6.4. What is the biggest value in 0.5, t, z, -2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -105*d**3 + 4*d**2 - 13*d - 16. Let r be h(-4). Suppose 17*l + r = 23633. List the prime factors of l.\nAnswer: 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.21*-0.2\nAnswer: -0.442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 208691280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*b + 10 = 30*b. Suppose -3*p - 12 = 0, -2*o = -2*p - 11 - 3. Solve -o = b*a + 1 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7 + -6. What is the units digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 141913 to the power of 1\/3, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2535*i - 125664 = 354*i - 1746*i for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 AM and 4:03 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 22\/317 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 671 - 639. Calculate the greatest common factor of u and 1168.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22744 or -22749?\nAnswer: -22744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 1 = 4. Let q be 0 - (-73)\/3 - 21\/63. Let u = v + q. What is the remainder when u is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {x: 3, f: 7, k: 4}.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(3) + (sqrt(3) + (sqrt(6)\/sqrt(2))**2)*-5 + -5.\nAnswer: -20 - 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/(sqrt(3) + sqrt(27)\/(3*sqrt(9))))\/(-4*sqrt(1452)*-2).\nAnswer: 3*sqrt(2)\/352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w**2 - 3*w. Let l(n) = n**2 + 4*n. Determine l(k) + v(k).\nAnswer: 11*k**2 + k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28851620\/17 + -1697146. Factor 0 + 142\/17*m**2 + 48\/17*m + x*m**3 - 2\/17*m**5 + 42\/17*m**4.\nAnswer: -2*m*(m - 24)*(m + 1)**3\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 207 or 26.54?\nAnswer: 26.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2 - k + 1. Let o(f) = -f**3 - 6*f**2 - 5*f + 2. Let w be o(-5). What is c(w)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2337167*a**4 - 2830589 wrt a.\nAnswer: -9348668*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4.2, -0.4, 4, 1\/6, -680\/9?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -20, 25, -2, -4, 35 in decreasing order.\nAnswer: 35, 25, -1, -2, -4, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 21*w = 19*w - 2, -5*w - 5 = -2*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = 201*r**3 + 12*r**2 + 6. Let j(s) = -402*s**3 - 26*s**2 - 13. Give -6*j(w) - 13*t(w).\nAnswer: -201*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the third derivative of x**5\/60 + 3*x**2. Let q(u) = 5*u**2. Determine h(q(s)).\nAnswer: 25*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 3*g + 9*g - m = -g - 1, -2*m = 285*g + 877 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/24*(2870\/42 + -71).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*b + 237 = 31*b + 9*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 + -6. Suppose 2*t + 1865 = n*t. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) be the first derivative of -x**3\/3 + x**2 - 2*x - 1. Suppose -5*i - 20 = -10*i. Suppose -5*c = i*m - 7, 2*c - 11 = -4*m - 1. What is r(m)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 240*s**3 + 12*s**2 + 68*s + 6. Let z(d) = 240*d**3 + 10*d**2 + 68*d + 5. Let u(p) = 5*l(p) - 6*z(p). Find the second derivative of u(c) wrt c.\nAnswer: -1440*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33*g = 25*g. Let t(i) be the third derivative of 1\/12*i**4 + 3*i**2 + 0 - 1\/2*i**3 + g*i. Calculate t(-3).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + 2*y - 5*y)*(0 + 0 - 2*y) + y**2 + 0*y**2 + y**2 + (y - 2*y + 0*y)*(-2*y - 1 + 1).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 9765, 8388, 6965, 5472, 3885, 2180, 333, -1680?\nAnswer: -3883","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9232730 and 2840840.\nAnswer: 36930920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 639 is divided by 17?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 3*j**3 + 4*j**2 + 4*j + 4. Let m(v) = -3*v**3 - 3*v**2 - 3*v - 3. Let f be (10\/(-14) - 16\/56)*-3. Calculate f*h(n) + 4*m(n).\nAnswer: -3*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.006361654 to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224440 is divided by 139026?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 14894 + -14934. Which is the second biggest value? (a) q (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 255, 0, 0.3693 in decreasing order.\nAnswer: 255, 0.3693, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 138 less than 4919\/36?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jzzdjjjjjzjjzzd. Give prob of picking 1 d and 2 j.\nAnswer: 8\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1 + 54?\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -4*s**2 + 4*s. Let i(p) = 3*p**2 - 2*p - 6. Let z(m) = m**2 - m - 3. Let x(w) = -i(w) + 2*z(w). What is x(n(a))?\nAnswer: -16*a**4 + 32*a**3 - 16*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45*(-5)\/10*(-1008)\/(-1260).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 12 + 8 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from efsfsddsfedffss. What is prob of picking 1 f, 1 e, and 2 d?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 2*w - 2. Let l be u(-4). Let z = l - -10. Calculate the common denominator of 118\/(-16) - ((-4 - -3) + z) and -33\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 314?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 490 and -330985.7?\nAnswer: 331475.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -38 + 69 + 8 + -72?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -55\/18 in -3, 4, -2\/13?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q**3\/3 + 1048*q**2 + 47679*q + 1638842\/3 = 0. What is q?\nAnswer: -3098, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -149*a - 1. Let g be n(-1). Let u be 3\/4 - g\/240. Let l = 1 + -2. Which is smaller: u or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 68 and 478448.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of u**4\/12 + u. Let j(y) = -4*y**2. Calculate b(j(k)).\nAnswer: 16*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 4*u - 47 = 53, 3*a = 3*u - 135. Let x = a + 86. List the prime factors of x.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.8 + -1.2. Let d = -7 - z. Put 5, 2\/3, d in descending order.\nAnswer: 5, 2\/3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -o + 3*t + 9, -7*t + 21 = -14*t for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*a - 1 + 18*a**2 - 53*a**2 + 27*a - 53*a.\nAnswer: -35*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-12)\/(-16))\/((-1)\/(-4)). Suppose 2*v = c*v - 5. Let q(u) = -2*u**3 + 3*u**2 - 3. Let s(x) = 6 - 1 - 4*x**2 + 3*x**3 - x**2. Give v*q(j) + 3*s(j).\nAnswer: -j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 157590 divided by 3502?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*m = 6*m + 15. Let k(a) = -31*a**3 + 2*a**2 - 25*a - 26. Let y be k(m). Solve 9*d + 4*g = 4*d + 40, y = 3*d + 4*g for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 247 a factor of 252434?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 - -1*(-4 - (0 + -36)). Solve 5*i = -h + 3 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/4 + (-1635)\/1430. Let m = u + 19\/13. Let d be (0 - 0)*1 + 0. Is m less than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 2593 + -2591. Suppose 4*u - 31 = -w, 5*u + 127 - 17 = 3*w. Let c(f) = 245 - w*f**h - 245. Let s(v) = v**2. Give c(s(n)).\nAnswer: -35*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 466 = 104. Let m be k\/(-30) - ((-4)\/6 + 1). Let r be (m\/18)\/(-1 - (-7)\/6). Solve 0 = 7*w - r*w + 20 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1487 - 1271*o + 843 - 297 - o**3 - 94 wrt o.\nAnswer: -3*o**2 - 1271","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -4*k**4 + 44784*k**3 - 167133888*k**2 + 207914556672*k = 0?\nAnswer: 0, 3732","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 458159 and 172549?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes after 8:53 PM?\nAnswer: 4:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 847 a factor of 628136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.07? (a) -2\/5 (b) -1\/7 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*r + 15, 3*g + 7*r - 9 = 4*r. Let h be 10\/2 + -5 + g. Find the second derivative of -3*z**2 + 2*z + 2*z**4 + h*z**2 wrt z.\nAnswer: 24*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -4 + 5 + 6\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -2 + 3 - 4*n + 1 + 5*n - 3. Let i(y) = 5*y - 6. Give -i(b) + 4*w(b).\nAnswer: -b + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-5) - 144\/30.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 441, 413, 385, 357, 329?\nAnswer: 301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*j = 4*j - 0*j. Solve j = 7*v - 7 - 14 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4*4\/(-32)*-1\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -n**4 + n**3 + 2*n**2 - 1. Let l(i) = -482*i**4 - 2*i**3 - 4*i**2 - 5*i + 64. Let p(x) = 2*b(x) + l(x). What is the second derivative of p(g) wrt g?\nAnswer: -5808*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 364.9344l?\nAnswer: 364934.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1, 86, 305, 724, 1409, 2426, 3841?\n\"Answer: 11*y**3 + y**2 + 5*y - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -23 - -14. What are the prime factors of ((-2)\/2)\/(1\/j)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1166 and 2285678?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -253 + 402. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 134824 is divided by 3227?\nAnswer: 2517","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-244178 - 244091 + 488174)*(2*s**2 + 0 + 0) to u*s**2 + n + d*s and give u.\nAnswer: -190","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -0.035, 1, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -688*j + 361*j + 10130 = -19502 - 10589 for j.\nAnswer: 123","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -5*w - u, w = -2*w + 2*u + 19. Let k be 36\/w*(1 - 0). Solve o = -2*t - 5, -k*t = -3*o - 0*o + 25 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 3*c - 4*n + 2, -5*n = -3*c - 34. Let p be (-4)\/(c - 2\/(-1)). Calculate the greatest common factor of p and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -2*k - 4. Let t be b(0). Is (2 - (-3 - t))*1*49 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 42025 from 1.\nAnswer: -42024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*j - 3982 = -3814. Let r = -0.34 - 12.66. Let o = 10 + r. Which is the closest to 2\/7? (a) j (b) -2\/3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 7181*s + 1235136. Give o(-172).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of -a**8\/336 + 47*a**7\/1470 - 7*a**6\/60 + 13*a**5\/105 + a**4\/7 + 169*a**2. Find g, given that m(g) = 0.\nAnswer: -2\/7, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/((-25)\/(-5)))\/((-2)\/20*6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 10, k: 3, x: 1, t: 1}. What is prob of picking 1 g and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 0 - 5 + 3*m - m**2 - 4*m**2 - m**3 + m. Suppose 0 = 3*j + 7 + 11. Calculate t(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) be the first derivative of -2*p**3\/3 + 67. Let m(x) be the second derivative of 17*x**3\/6 - 3*x. Give k(m(v)).\nAnswer: -578*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-1)\/2 - 2)*2 - -616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009721 to four decimal places.\nAnswer: 0.0097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 10*a = -8*a - 3, 5*o = -5*a. What is the third derivative of o + 141*f**3 + 53*f**2 - 45*f**2 + 19*f**2 - 8 wrt f?\nAnswer: 846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -2*p**3 - 1. Let s(q) = q**3 - 8*q**2 - 2. Let m be s(8). What is the remainder when 40 is divided by b(m)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 + -17. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29661.\nAnswer: 3, 9887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 119 - 127. Let q be (-2)\/(((-6)\/(-10))\/(12\/k)). Solve -q*a + 10 = -7*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2.06572? (a) -6\/11 (b) -5 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 254 (base 6) to base 10.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 65, 179, 343, 557?\n\"Answer: 25*t**2 + 39*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 10:41 PM?\nAnswer: 1:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1028)\/4626*(-6)\/(-26)*6.\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.348 to 2 decimal places.\nAnswer: 0.35","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51 - 8\/(-6 - -2) is divided by (9\/(-4))\/(1\/(-8)).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -15, 5*i + 4*t + 73 = -10. Let s(b) = -3*b**2 - 132*b - 20. Let k be s(-44). Is k equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 616695790*m**2 + 75572781*m.\nAnswer: 1233391580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1\/4, -0.4, 22, 1\/2 in descending order.\nAnswer: 22, 1\/2, 1\/4, 0, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 165 and 144199.\nAnswer: 2162985","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.1, -81, -2, 129, 0.5?\nAnswer: 129","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1084607 is divided by 53.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -475 - -474.5. What is the second smallest value in p, -10, 2\/19?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.2 times -1?\nAnswer: 19.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 8 = -4. Let v(t) = -t - 4. Let c(m) = 5*m + 17. Calculate w*c(k) - 9*v(k).\nAnswer: -k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a millimeter in micrometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 2*k**2. Let v(d) be the second derivative of d**4\/12 - 65*d**3\/3 + 66*d. Determine v(c(x)).\nAnswer: 4*x**4 - 260*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 12 - 8. Differentiate f - 3 - 3 + 4*p**2 - 9 with respect to p.\nAnswer: 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3077 is divided by 39?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74903358 to the power of 1\/2, to the nearest integer?\nAnswer: 8655","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -129\/22 + 17717\/3014. Let h = c - -3695\/274. What is the common denominator of 139\/18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.50000081 - 1.5. Round m to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(-8) - 5\/((-20)\/(-2))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10 + -5. Let o(l) = -21*l - 292. Let r be o(-14). Put r, -4, -3, w in descending order.\nAnswer: w, r, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that 7*x**3 + 1024418330*x**2 + 37479746812225556*x - 10708499172833288 = 0.\nAnswer: -73172738, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 3*p + 0*p)*(-23 - 8 + 8).\nAnswer: -46*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*((sqrt(11) - (1 + sqrt(11)*3))*6)**2 + (-2*sqrt(55)*4)\/(-3*sqrt(500) + sqrt(5)).\nAnswer: 4184*sqrt(11)\/29 + 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = v**3 + 5*v**2 - 11*v - 2. Let t be z(-8). Let d = 736 - t. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13, -96, -325, -772, -1509, -2608?\nAnswer: -4141","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1452 is divided by (-1365)\/182*948\/(-10).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 5) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*v - 4*v + 4*v + (5*v - 4*v + 0*v)*(2 + 1 - 2) + 0*v + 0*v + v)*(91 - 13 + 75) + 5*v + v - 4*v in the form x*v + r and give x.\nAnswer: 614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/2640*48)\/((12\/(-50))\/1).\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 13*l**2 + 2*l - 1. Let d = 163 - 150. Let k(f) = d*f + 3*f**2 - 14*f - 10*f**2. What is 11*k(q) + 6*z(q)?\nAnswer: q**2 + q - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/35 and -71\/70735?\nAnswer: 70735","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is db - -139?\nAnswer: 236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u - 10. Let z be (-1 + -11)*(-7 - -8). Let y(a) = -a**2 - 12*a - 7. Let v be y(z). List the prime factors of h(v).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 2 g when four letters picked without replacement from {c: 2, j: 4, g: 5}?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = x**3 - 45*x**2 + 130*x**2 + 5*x - 30 - 44*x**2 - 47*x**2. Let a be b(6). Solve -3*q + 3*z = -6, a*q - 5*z + 26 = 4*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15\/16 (b) -3\/10 (c) -0.91 (d) 2 (e) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1240006, 2480009, 3720012, 4960015, 6200018?\nAnswer: 7440021","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3c574 - -b3?\nAnswer: -3c491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 - 3*j**2 - 27*j + 27.\nAnswer: 3*(j - 3)*(j - 1)*(j + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -21811051*j**3 + 4622767 wrt j.\nAnswer: -65433153*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 201 - 13. Suppose -187*k + i*k - 86 = 0. What is the remainder when k is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**2 - 3*h - 5. Let n be d(-2). Solve -5*a + 25 = -n*g, 5*a - 6 = -5*g - 1 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1533, -4, 2, 0.2 in increasing order.\nAnswer: -1533, -4, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0157537l?\nAnswer: 15.7537","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + 56 = s. Calculate the greatest common divisor of 24 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 298999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-10)\/(-2) - 4\/2. Suppose -5*q - 3*m + 48 = -2*m, 18 = 2*q + m. Let b = -6 + q. Solve 18 = a + l*y, -5*y + y = -b*a - 8 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(70)*1 - (sqrt(70) + 1*sqrt(70) + sqrt(70))*2)\/(((sqrt(110) - sqrt(110)*2)*2)\/sqrt(11)))**2.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/6 + (34 - 23)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 2197*c - 4620. Determine n(2).\nAnswer: -226","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -2*s**2 + 3*s + 1. Let l(r) = -r**2 - 18*r + 43. Let a = 33 + 23. Let q be a\/(-14) + (-32)\/2. Let p be l(q). What is b(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 4. Find the first derivative of 5 - p*g**4 - 6 + 6 wrt g.\nAnswer: -16*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 6464608 and 256?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29 = f - 5*v, -3*f + 2*v = -56 + 21 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-12 + 12 + 4*q - 3)*(1 + 0 - 3).\nAnswer: -8*q + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 8362, 33487, 75372, 134023, 209446, 301647?\n\"Answer: z**3 + 8374*z**2 - 4*z - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -92 - (117 - (87 + 222))\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -3 (b) -223 (c) -1\/237 (d) 0.3 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.98 - -0.02. Let h = -24.75 - -24.55. Sort -2, h, s, -0.5 in increasing order.\nAnswer: -2, -0.5, h, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*-6*sqrt(156)*1)\/(2*2*sqrt(12) - (sqrt(240)\/sqrt(4))\/sqrt(5)))**2.\nAnswer: 1300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21\/5 less than or equal to 33\/38462?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*f - 41*f - 6 = 0. Solve k + 12 = -f*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 8? (a) -1\/3 (b) -1 (c) 0.4 (d) -19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4102 + -4098. Let o(p) = p**3 - 5*p**2 - 5*p - 7. Let q be o(6). Suppose 0 = 5*w - 0*w - 30. Which is the nearest to w? (a) -2\/13 (b) q (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/7729 and 67\/354?\nAnswer: 46374","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 3*o - 3*o)*((2 - 1 + 1)*(1 - 4 + 5) + 3 - 2 + 0) - 4*o - 3*o + 5*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -l**3 + l**2 + l + 5. Let u be b(0). Let q = 749 - 739. Suppose q = u*s - 10. Solve g = s*g - 12 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 79599915*d**2*t**4 - d**2*t**2 + 121*d**2*t + 33*d**2 - 301*d*t**2 + 2*d wrt t.\nAnswer: 1910397960*d**2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of -s**5\/210 - s**4\/84 + 44*s**3\/7 + 397*s**2 + 2. Determine p, given that r(p) = 0.\nAnswer: -12, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - 0.1. Suppose 13 = 4*m + 5. Let v be 2\/(-6*(-1 + -2)). What is the biggest value in s, m, v?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3227 at least as big as -0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (22 - (0 - -14)) + 0?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**3 - 5*w**2 + w + 2. Let s be v(3). Suppose 0 = -4*n + s + 2. Let k = -7.46 + 7.76. Which is the biggest value? (a) -5 (b) n (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -167bd (base 16) in base 4?\nAnswer: -112132331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 1. Let a(w) = 2*w + 21. Let r(v) = v + 10. Let c(g) = -4*a(g) + 9*r(g). Let m(p) = -p**2 + 15*p - 15. Let n be m(13). Determine n*s(l) - 2*c(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -73*s + 119*s + 202*s.\nAnswer: 248*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 4*x**2 + 3*x. Let f(l) be the second derivative of -l**4\/4 - l**3\/3 + 127*l. Determine 3*f(n) + 2*t(n).\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 1308794.\nAnswer: -2\/654397","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*n**2 + 4*n**2 + 33*n**3 + 4*n - 30*n**3 to q*n**3 + d + j*n**2 + g*n and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes before 5:36 PM?\nAnswer: 11:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2280 and 420?\nAnswer: 15960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*p + 349 = 343 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*o + 5 = o. Let f(b) = b**2 - 7*b + 8. Let c be f(6). Let s(k) = -3*k**3 + 1 + 0*k**c - 4*k - k**2 + 5*k. Give s(o).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vm when two letters picked without replacement from {i: 6, a: 1, v: 3, m: 8}.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2. Let w(v) = -61*v. What is g(w(r))?\nAnswer: -3721*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 7 = -3*l, 0*l - 28 = -2*a - 4*l. What is the remainder when 15 is divided by a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c + c + 0*c + (3 - 1 - 1)*(2*c - 6*c + 2*c))*(3*c + 7*c - 3*c) - 2*c**2 + 5*c**2 + 0*c**2.\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*q + 10 = 0, 10 = 3*m - 2*q - 4. Suppose -p + 6 = m. What is the third derivative of -u**p - 1 - 2*u**2 + 1 wrt u?\nAnswer: -24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14377, 28797, 43217, 57637, 72057?\n\"Answer: 14420*m - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5821079*z**3 - z**5 + 1 - z**5 + 5821179*z**3 + (3*z**4 - 2*z**4 - 3*z**4)*(-2 + 2 + z).\nAnswer: -4*z**5 + 100*z**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.23 - 0.07. Let h = -1 - -1.5. Let q = p + h. Sort -4, q, 4 in descending order.\nAnswer: 4, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = s. Let a(i) = 32*i - 2003 - 2005 + 2*i**2 - 13*i + 4008. Calculate -a(w) + 6*l(w).\nAnswer: -2*w**2 - 13*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 19164?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 17*u**2 + 7*u + 20. Calculate d(10).\nAnswer: -610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1947 = 6*q - 9*q + 4*x, -4*q - 2*x = -2618. What is the tens digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15 divided by 1003023.\nAnswer: 5\/334341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 12:49 PM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 13*s**2 + 13*s - 6. Suppose 72 = p + 4*p + 3*g, -g - 44 = -4*p. Let b be i(p). Is b bigger than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1273598196 divided by 106133183\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in seventy-nine thirds of a hour?\nAnswer: 94800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 11 = 37, 18118*v + 41 = q + 18121*v. Let c(n) = 1 - n**2 - n**2 + n + 3*n**2. Let d be c(0). Sort q, d, -3, -2 in increasing order.\nAnswer: -3, -2, d, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 35050 to the nearest integer?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27938*k*m**2 + k*m - k + 2*m**2 + 40*m + 145 wrt k?\nAnswer: 27938*m**2 + m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 7612748 to the nearest integer?\nAnswer: 2759","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, -0.1, -0.228 in descending order.\nAnswer: 0, -0.1, -0.228","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*f - 2*f - 4872*f**2 + 4886*f**2 + 5*f.\nAnswer: 14*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001796001 to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/14)\/((-40)\/105).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*z**4 + 540*z**3 - 17784*z**2.\nAnswer: -4*z**2*(z - 78)*(z - 57)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -224 + 82 = -40*m + 126*m + 288, 4*m + 36 + 32 = -3*x for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*u + 5*l + 57, -u + 15 = 4*u + 5*l. Put 7, u, -3 in descending order.\nAnswer: u, 7, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 293 divide 531795?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 5*p - 128. Let u be (15\/(-9))\/(60\/(-1008)). Let t be m(u). Solve -5*x + 0*x + 5*f = 20, -t = -3*f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 6 + 11 + -2 + (2 - -3)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -7*u. Let q(s) = -11 + 278*s - 454*s + 172*s. Determine q(l(o)).\nAnswer: 28*o - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 11*v**3 - v**2 - 6*v + 4. Suppose -3*c + 4*j = 14, -3*j - 15 = -5*c - 4*j. List the prime factors of y(c).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(70) - sqrt(70)*3*1 - sqrt(70))\/(sqrt(10) - 2*sqrt(250)).\nAnswer: sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 256003889 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + b = -m + 47, 3*b - 31 = m. Let i = m - -19. Let w be -2 + i + 84\/16. Which is greater: 0.06 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1297 + -1691. What is the closest to -1 in y, -2\/11, 3\/8?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(16)\/(4*sqrt(8)) - sqrt(2) - (sqrt(200) + 3 - sqrt(2))) + -5 + sqrt(5000)*-5.\nAnswer: -1039*sqrt(2)\/4 - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -3*d + 3. Let l(a) = -1 + 0*a + 2*a - 1. Let s be ((-1)\/(-2))\/((-1)\/(-18)). Suppose c + 2*c + s = 0. What is c*r(m) - 4*l(m)?\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 90414?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 23, -6, 42 in decreasing order.\nAnswer: 42, 23, 0.5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1748 - 1615 = 28*c - 3167 for c.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = 5*q - 3035, 0*q = -5*s + 4*q + 3804. List the prime factors of s.\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 b when two letters picked without replacement from hbwwwwbzwwvhzvhwh?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f, 1 e, and 1 c when three letters picked without replacement from ffcfcfceffkfeefkceec.\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: What is 21\/100*10 - 2 - (-33)\/(-210)?\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -28) + -35 + 0 + -34?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -c**2 + 28*c + 5. What is j(30)?\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 4*u - 2*u. Suppose 3*x = -3*n + 291, x + u*x - 473 = n. Suppose 3*a - 2*m = -8 + 44, 3*m + 33 = 3*a. What is the remainder when x is divided by a?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-70)\/42*1)\/((-4)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 91, 93, -37, -347, -885?\nAnswer: -1699","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, -43 in increasing order.\nAnswer: -43, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1108820054 to the power of 1\/3, to the nearest integer?\nAnswer: 1035","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 3.84. Let b = h - 0.056. Round b to 2 decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 23 in -4, -0.5, 5, 0.2, -9\/2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l + 45. Give u(13).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 + 2. Suppose 0 = -y*z + 1 + 27. Let j(c) = -c**2 + 6*c + 7. Let d be j(z). Solve d = n - 2*n - 4 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 146182\nAnswer: -2\/73091","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 13*s**2 + 2*s + 2. Let p(n) = 6*n**2 + n + 1. What is -9*p(o) + 4*w(o)?\nAnswer: -2*o**2 - o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 3*y + 27, 5*k + 3*y - 67 + 10 = 0. Suppose -21 = -v + 13. Calculate the remainder when v is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 1 - (1930 + -1966)\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, -9, 76, 5\/3, 0, -5 in increasing order.\nAnswer: -9, -5, -5\/3, 0, 5\/3, 76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -0.04, 5 in decreasing order.\nAnswer: 5, -0.04, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 34*w**2 + 160*w - 14. What are the prime factors of h(23)?\nAnswer: 2, 5413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0\/(-3) - 1)*0. Suppose -i + 7 + 7 = a. What is the units digit of i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 45. Let d = -4.03 + 0.03. Which is the closest to 0.2? (a) -3 (b) g (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that l**4\/6 - 35*l**3 + 5629*l**2\/6 + 1982*l + 3026\/3 = 0.\nAnswer: -1, 34, 178","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 times -8.9\nAnswer: 8.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 32.6 times 0.4\nAnswer: 13.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 8*w**3 + 5*w**2 - w - 13. Let c be 19 + -23 - (0 - 7). Let t be g(c). What is t rounded to the nearest 100?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5087 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s + 4 + 2. Let l = s + 0. Let f be -1 + l\/30*-6. Which is the closest to f? (a) -2 (b) 5 (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, b: 4, g: 3, h: 1, n: 2}. What is prob of sequence bng?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/26, 0.5, 0, -0.3.\nAnswer: -0.3, -3\/26, 0, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**3 + 2*x**2 - 2*x**2)*(-20*x**2 - 12*x**2 - 25*x**2).\nAnswer: 57*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 <= -88\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3477255 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.6 + 14.6. Let b = w - 14. Let r(t) = t**3 - 3*t**2 - 5*t - 1. Let d be r(4). Is d equal to b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279962991 divided by 2?\nAnswer: 279962991\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n - 31. Let m be q(10). Let u be 2*(10\/(-3))\/(4\/m). Is 7 a factor of 266\/(-95)*u\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 3*i - 9, b - 6*b = -i - 23. Suppose 0 = -3*p - 0*w - 2*w + 44, b*w - 70 = -5*p. Calculate the highest common divisor of 4 and p.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*k - 2 = -7, -4*k = 3*x - 4 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -123320 + -3?\nAnswer: -123323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 28 + -28 - -1*23. Solve k = -8*s - 9 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10785464 to the power of 1\/4, to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from {u: 5, o: 3}?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/5 - 17186601*k\/5 + 17186602\/5 = 0 for k.\nAnswer: -17186602, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5 - -11. Let h be (4\/(-5))\/(f\/(-15)). Solve -5*r + 2*s + 14 = -4, -h*r - 8 = 3*s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 15*g + 1110. Calculate d(-73).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 81108 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 90393.523 take away -0.5?\nAnswer: 90394.023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-5588)\/(-635) - 4\/5. Sort 15, f, 4.\nAnswer: 4, f, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5194.2 to the nearest one hundred.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/(-35) + 2516\/(-28). Let q = -44 - f. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(48) - sqrt(3)).\nAnswer: -12 + 9*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*3.7.\nAnswer: 11.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhh when three letters picked without replacement from {h: 3, y: 4, v: 11}.\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(117) + sqrt(117)*-3 - sqrt(117))*-5 - (sqrt(117)*3*4 - sqrt(117)))\/(((sqrt(729) - -1*sqrt(729))*4 - sqrt(729)) + sqrt(729)*2*6).\nAnswer: 4*sqrt(13)\/171","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 7 + 21 = 0. Let i = 1 - -4. Suppose -4*w + 15 = i*r, 5*r - 2*w = -k*w + 20. Is -1 at most as big as r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 673, 404, 87, -278, -691, -1152?\nAnswer: -1661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 10.2? (a) 19 (b) 1 (c) -0.183 (d) 9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u*u*u**(12\/11))*u))\/u**(-2)*(u*u**(-3\/13)*u)\/u*u\/u**(1\/10) assuming u is positive.\nAnswer: u**(8237\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, n: 2, h: 1, m: 1}. What is prob of picking 1 p and 2 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 5*o - 107. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -35*m - 42*m**4 + 8*m**2 - 24*m**4 + 68*m**4 to y*m**2 + b*m**4 + n*m + s*m**3 + f and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2 + 4998*m + 2258055.\nAnswer: -(m - 5415)*(m + 417)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 - -6?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -4, 4, -5, 59?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = 8*z**2. Let g(r) be the third derivative of r**5\/60 + 11*r**2. Give g(a(m)).\nAnswer: 64*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes before 10:10 PM?\nAnswer: 12:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*l - 4*l**2 - 11 - 16 + 24)*(280 - 39*l - 280) - 2*l**3 + 0*l**3 + 0*l**3 as d*l + i*l**2 + o*l**3 + c and give d.\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5925 - 1323 = -77*k - 1396 for k.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -11\/14 and 101\/2336802.\nAnswer: 16357614","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -3*r**5\/20 - r**3\/3 + 3*r - 3. Let a(f) be the first derivative of q(f). Find the second derivative of a(w) wrt w.\nAnswer: -18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.3, 4, 0.5, -4?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 1\/(-3)*21.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -16, -78, -206, -424, -756?\nAnswer: -1226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 7*y**3 - y**2 - y. Let b(p) be the second derivative of 0 - 2*p - 11\/6*p**3 - 1\/12*p**4 + 11\/2*p**2. Let a be b(-12). Determine l(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32099694?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.11 in -4\/3, -1, -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 - -6. Let f be ((-15)\/2)\/(-3)*2. Let h(d) = -2*d**2 + 256*d + 1054. Let o be h(-4). Sort x, o, f in ascending order.\nAnswer: x, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.06 - -3.06. Let c = z + -6. Put c, -2, -0.5 in increasing order.\nAnswer: c, -2, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17 - -9. Put d, 1, 3 in ascending order.\nAnswer: d, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 70 = 58. Let y be -1*-1*2\/2. Find the first derivative of -3 + 2*r**z + y + 0 wrt r.\nAnswer: 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120578559 - 52838559. Suppose 101*n - 107*n = f. Round n to the nearest 100000.\nAnswer: -11300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**2 - 804*v + 268696. Determine p(254).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9836 is divided by 240?\nAnswer: 236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -66, -50, -32, -12, 10, 34?\n\"Answer: x**2 + 13*x - 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 57*u + 342. Let q be r(-6). Let z(l) be the first derivative of 3 + q*l**2 + 4*l + 10\/3*l**3. What is the first derivative of z(d) wrt d?\nAnswer: 20*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -2554, -2553, -2552, -2551?\n\"Answer: v - 2555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 121 (base 3) to base 15\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.32 - 0.02. Let l = d - 0.8. Let x = l - -0.02. Round x to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 57535?\nAnswer: 5, 37, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4908)\/8589)\/((-52)\/(-14)).\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 108\/45 + 3\/5. What is the second derivative of -23*w**3 - 29*w + 15*w**3 + 11*w**n + 5*w wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 162415 to the nearest integer?\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2971 - 2968. Solve -26 = 4*s + 2*u, 3*s + 24 + r = -3*u for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 502028624 to the nearest integer?\nAnswer: 22406","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 0 - 1122?\nAnswer: -1122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -26 + 18 + (2 - 1 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 501*u - 499*u - 44 = 0. Let i be u\/(-33) + 2\/(-2 - -4). Let -i*k**2 + 2\/3*k + 1 = 0. Calculate k.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -505*t - 422 = 4628 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the first derivative of -r**4\/6 + r**3\/2 - r**2\/2 + 5*r + 2. Let u(y) be the first derivative of q(y). What is b in u(b) = 0?\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/2 - 2\/(-4). Let t be i\/(-1)*(-6)\/10. Suppose 293 = t*f + 2*n, -6*f + 2*f = -n - 376. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5044 and 3085376?\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -13766 - -41296\/3. Which is smaller: w or -24\/779?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 72*z**2 - 5*z + 368. What is c(72)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of -2\/3*u - 13 - 128\/9*u**3 + 16\/3*u**2. Determine j so that i(j) = 0.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7)\/63 - 1000012\/(-117)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2. Let d(r) be the first derivative of -19*r**5\/60 - 3*r**2\/2 + 2. Let h(q) be the second derivative of d(q). Calculate m(h(y)).\nAnswer: 722*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1305?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + s - d - 1 = 0, -4*s = 3*d - 18. Calculate the highest common factor of 27 and s.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 5.3, 35.13, -1\/5, -1\/2, -82?\nAnswer: -82","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-144)\/1240)\/9)\/(14\/700*-10).\nAnswer: 2\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-800)\/(-6))\/((-28)\/(-84))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5985, 23990, 53997, 96006, 150017, 216030?\nAnswer: 294045","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:06 PM and 7:38 PM?\nAnswer: 332","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -2334 (base 6) in base 3?\nAnswer: -202211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 5*n = -n + 17, 2*v - 5*n = 2. Is 5 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 45 = -5*y, 4*t - 39 = 2*y + y. Let x(u) = u + 8 + 8*u**2 - 4 - u**3 + 8*u**2 + 0. Calculate the lowest common multiple of t and x(16).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:37 PM and 12:29 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1889433 by 629811.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is (-141)\/2*(-20)\/15 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 263744 and 2703376?\nAnswer: 10813504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 123\/9*186\/620 + (-1)\/10. Let l(g) be the second derivative of 1\/18*g**q + 33*g + 0 + 0*g**2 - 2\/9*g**3. Suppose l(k) = 0. Calculate k.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 - 21*n - 11. Let h(w) = 5*w**2 + 11*w + 6. Suppose 0 = 12*z - 38 + 170. Determine z*h(m) - 6*l(m).\nAnswer: -m**2 + 5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 6669, 13342, 20017, 26694, 33373, 40054, 46737?\n\"Answer: a**2 + 6670*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 11:02 PM?\nAnswer: 5:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 3*g - 7822, -4*h + 12741 + 273 = 5*g. What is the thousands digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 200851 or 200852?\nAnswer: 200851","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620097402.\nAnswer: 2, 3, 31, 1429, 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -7*v + 4. Let q be u(4). Let n(s) = -8*s**3 - 5*s**2 - 13. Let l(y) = 40*y**3 + 24*y**2 + 64. Let d(a) = q*n(a) - 5*l(a). Differentiate d(h) wrt h.\nAnswer: -24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1660523 is divided by 2909?\nAnswer: 2393","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33549, -33568, -33589, -33612, -33637, -33664?\nAnswer: -33693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90 = -962*i + 917*i. Suppose -4*x - 12 = -0*x. What is the remainder when 18\/(1*i\/x) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, b: 1, t: 1}. What is prob of sequence ytb?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-12 - 696\/(-60)) + (-2072077)\/(-5) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is d in -5*d**5 + 40*d**4 + 220*d**3 - 1040*d**2 - 5120*d - 5120 = 0?\nAnswer: -4, -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 8 - 1293*t**2 - 187*t**2 - 8 + 2*t as o*t + r*t**2 + m and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v**3 + 6*v**2 + v + 6. Let u(k) = -2*k**3 + 5*k**2 + k + 5. Let l be 216\/96 - ((-45)\/(-4) - 3). Calculate l*u(i) + 5*r(i).\nAnswer: 7*i**3 - i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.8821745 decades?\nAnswer: 0.08821745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that 5*i**4 + 202*i**3 - 1760*i**2 + 3104*i + 1536 = 0.\nAnswer: -48, -2\/5, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -83 + 82.9999967. What is x rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 2*x - 7. Let k(s) = s - 6. Let b(v) = -6*k(v) + 5*n(v). What is b(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 31 - (-1)\/(-2)*6. Suppose 0 = -n + 5*u - 1 + 11, 5*n - 3*u = i. Suppose -n*j = -5*r + 25, -3*j - 2*j = 5. Is 2 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 10:01 AM?\nAnswer: 9:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + 6*z**2 - 2*z - 7. Let h be p(-6). Let a = h - 10. Which is greater: -19\/4 or a?\nAnswer: -19\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 594\/23 != 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {y: 9, t: 3}?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119404 is divided by 891?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10482.\nAnswer: 2, 3, 1747","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2920 or 2919?\nAnswer: 2920","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 332, 0, -3.4, -0.01?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 142 = -7*w, -3*w - 28*n + 49 - 127 = -32*n for w.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 5, 0.44?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -41\/1725 + 7\/230. Let j(u) be the third derivative of -1\/300*u**5 + 1\/30*u**3 - 1\/30*u**4 - 14*u**2 + 0 + 0*u + t*u**6. Let j(x) = 0. What is x?\nAnswer: -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 11 (c) 0 (d) 0.5 (e) -3 (f) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 7*o + 29. Calculate j(-7).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiv when three letters picked without replacement from tvivtotitotitvttt.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 3925912 divided by 28867?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 8, 2, 469, -3\/5, 14?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10615, 21230, 31845, 42460, 53075, 63690?\nAnswer: 74305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.02, 1, 0, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 486 - 433. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba68b5 (base 14) in base 15?\nAnswer: -84c1ca","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*m**4 - 2*m**4 + 0*m**4 + (3*m + m**2 - 3*m)*(m**2 + 11*m**2 - 2*m**2).\nAnswer: 6*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 8.089811 milligrams?\nAnswer: 0.008089811","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -91992612 divided by 6.\nAnswer: -15332102","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 + -11. Let q(f) = 4*f - 4. Let g be q(-1). Let n be (-10)\/g + ((-120)\/32 - -4). Which is the third biggest value? (a) n (b) o (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y - 830 = -5*r, 4*y - 5*r - 637 = 0. What is the remainder when y is divided by 56?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18 and 735606.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3696)\/168*((-1)\/2)\/((-2)\/1).\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2507291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5508 divided by 162?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 7*t**2 + 4*t - 22. Calculate l(-8).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - y**2)*(-4*y - 2*y + 9*y) - 118*y + y**3 - 9*y**2 + 118*y)*(4*y - 2*y - y).\nAnswer: -2*y**4 - 9*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6.25 (b) 0 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -4 - 10. Let b be (24\/16)\/1*(-4)\/3. Let l be (-1332)\/(-108) - b\/3. Which is smaller: n or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (1569\/(-3) - 1) + 4. Round l to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**2 + 8*j + 7. Suppose 0 = 3*b - 12 - 15. Let w be t(b). Let z = 5 + w. Solve z*h = -5*c + 16, -2*h + 1 - 2 = c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -107, -10, 13 in increasing order.\nAnswer: -107, -10, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1572 + 1574. Let d(m) = 2 - 2*m + 4*m + m**2 - 5*m. Let j be d(4). Solve -c*i = -0*i + j for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 9\/7 (b) -5 (c) -112 (d) 0.5 (e) -4\/7 (f) 0.8\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 2454805?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5 - -2. Suppose -u*n + 15 = -2*n. Suppose -3*x = -n*s + 12, 0 = -x - x - 4. Solve 3*i - i + 2*m + s = 0, 4*i = -3*m - 2 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pvpppppppvpvpp. What is prob of sequence pppp?\nAnswer: 30\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the second derivative of -k**6\/180 - 18*k**5\/5 - 10295*k**4\/12 - 714850*k**3\/9 + 3048625*k**2\/4 - 3896*k. Factor w(v).\nAnswer: -(v - 3)*(v + 145)**3\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 21 - 10. Let c be -1 - (-4 + 2 - p). Suppose 3*d = w - 6*w, 5*d - 2*w = 31. Solve -d*x + c = -x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -3, 22, 69, 144, 253, 402, 597?\n\"Answer: n**3 + 5*n**2 + 3*n - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2307*a**3*w + 52*a*w**3 + a + 4*w**3 + 112*w**2 - 14*w + 11 wrt a.\nAnswer: 6921*a**2*w + 52*w**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-h - h + h)*(-3*h**3 + 2*h**3 + 3*h**3) - 8*h - 8361*h**4 + 2 + 9*h + 8405*h**4 - h**3 in the form l + g*h**3 + p*h + c*h**4 + m*h**2 and give c.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -297830 or -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7356189461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-204)\/(-33) + -3 - (-2)\/(-11). Let h be 1*-3 - ((-621)\/p + 0). What is the greatest common divisor of 24 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0909 * -0.1.\nAnswer: -0.00909","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 + 8*r**2 - 8*r + 17. Does 2 divide d(7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 2626.\nAnswer: 28886","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m. Calculate s(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 446 - 445. Let r be 220\/76 + 14\/133*c. Solve r*b = 10 + 2 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -61 + 2?\nAnswer: -5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2*1\/2*-37)\/((-141)\/141)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1aa3 (base 13) to base 6.\nAnswer: 30340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62 - (41 - 23)) + -90.\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a litre in millilitres?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 1:33 PM?\nAnswer: 11:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -20*b**3 + b - 6. Calculate x(-2).\nAnswer: 152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -29*q**2 + 1195*q - 199. What is b(41)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:54 PM and 9:30 PM?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -11*p - 4. Let h be r(-8). Suppose -8*c = -12*c + h. What is the highest common divisor of c and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -114049275 divided by 38016425.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -3 + 93*q - 5 - 5. Let o be m(4). Let j = -2921\/8 + o. Find the common denominator of j and -85\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10704)\/(-1336) + (((-3)\/2)\/3)\/((-52)\/(-832))?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*l - 929*l**2 + 2759*l**2 - l - 1247*l**2 - 373 wrt l.\nAnswer: 1166","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 PM and 9:19 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 6. Solve -3*x + 2 = i, i + 4*i - 10 = -c*x for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5*2 + 6 + -11 + (1 - -1058)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -499*n**3 - 787*n**3 - n**2 + 4*n**2 - 139*n**3.\nAnswer: -1425*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -457 + 461 - 4*g + 15*g.\nAnswer: 11*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(2\/13))**(2\/13)*u**13\/(u**(-9)\/u) assuming u is positive.\nAnswer: u**(3891\/169)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (22329\/4135)\/((-6)\/20)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 503?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = t**2 + 5*t + 18. What is the tens digit of r(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1266 is divided by 73?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 + 9*w + 4. Let r be u(9). Let o be (-4)\/r*(0 + -18). Solve -6*l - 6 - o = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 15?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*w - 1125 + 1116 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -50 + 74. What is the highest common divisor of 3 and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 410, 529, 648?\n\"Answer: 119*t + 291","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 + 322?\nAnswer: 332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 0 - (5 - 1)) + 3. Solve 0*d + a*s + 12 = 2*d, -5*s = 2*d + 16 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of 0 + 0*p**4 - 1\/30*p**5 + 7*p**2 + 0*p**3 + 0*p. Let a(h) = 3*h. Determine q(a(l)).\nAnswer: -18*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 159367175?\nAnswer: 5, 11, 579517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1096 = -3*l + 527. Is l 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 1665429284?\nAnswer: 2, 29, 14357149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -4 + -44753?\nAnswer: -44757","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 0. Let y = c - 3. Put 0, y, -2\/11 in decreasing order.\nAnswer: y, 0, -2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:26 PM?\nAnswer: 439","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 40 + -360?\nAnswer: -320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -92*d - 376*d = -16848 for d.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3213 is divided by 1536?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 131, 987, 3231, 7559, 14667, 25251, 40007?\nAnswer: 59631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + 4*2*(2*sqrt(5) + 3 - (-1 + -1*sqrt(5) + sqrt(5)))**2*1.\nAnswer: 128*sqrt(5) + 287","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + -5 + 5*(2 + (-2 + sqrt(242) - sqrt(242)))*5*-1).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -42\/37?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4\/5, -78, -4\/45, -3, -1, -45, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*c + 21 + 7. Suppose 0 = 4*l + c*g - 5876, 4*l + 497 = -3*g + 6375. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -33 + 40. Let l(g) = g**2 - g - 1. Let m be l(2). Let r be 0 + (m + 6)*8. What is the greatest common divisor of u and r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 0*d**3 + 3*d**2 + d - 4*d + 4*d**3 - 10*d**3 + 3. Let t(b) = 12*b**3 - 5*b**2 + 5*b - 5. Determine -5*q(p) - 3*t(p).\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 4*z**3 - 40*z**2 - 4*z + 19. Determine g(10).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 842 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -d**3 + 14*d**2 - 7*d - 16. Determine w(13).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4096 and 288?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 76880*s**2 - 3720*s + 45.\nAnswer: 5*(124*s - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -3400 divided by -10?\nAnswer: 340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a factor of 765180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9)\/(-18)*(-1)\/((-3)\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.06 and -4988659408720.\nAnswer: -4988659408719.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -53388*p**2*w**2 - 76*p*w**2 - 5284824*w**2 wrt p.\nAnswer: -106776*p*w**2 - 76*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2307*c + 901*c + 4891*c - 785*c to p + t*c and give t.\nAnswer: 2700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 9 - -3943?\nAnswer: 3951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1801, 3600, 5401, 7204?\nAnswer: 9009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 351 + -351. Solve q = -r - l - 1 - 2, 3*r - 4*l = -23 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100 - 98. Suppose 5*o = 5*m - 245, 0 = 2*m + q*m + o - 196. Is 49 not equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -60*x**3 + 172*x**2 - 96*x - 16 = 0.\nAnswer: -2\/15, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -94*b. Let o = 47622 + 83. Let f(h) = o - 3*h - 47705. Determine f(m(r)).\nAnswer: 282*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * -1.22849.\nAnswer: 0.122849","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = 924*w**2. Let d(p) = -596*p**2. What is d(i(k))?\nAnswer: -508850496*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125460*k**2*w + 1460*k**2 + 9297*k*w + 206*k - 2*w - 5 wrt k?\nAnswer: -250920*w + 2920","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) be the second derivative of 7*n**5\/20 - n**4\/12 - 5*n**3\/6 - 2*n**2 + 573*n. Give i(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3 - -2.8. Let w = x - -0.6. Let r = -11 + 12. Sort r, w, -0.3 in decreasing order.\nAnswer: r, w, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) be the third derivative of c**7\/1050 + c**6\/120 - c**5\/25 - 2*c**4\/3 - 32*c**3\/15 + 7*c**2 + 45*c. What is u in n(u) = 0?\nAnswer: -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -25, -0.06, -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6476231020?\nAnswer: 2, 5, 7, 463, 2039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = d + 17 + 30, 0 = 5*g + 3*d + 50. Suppose -120 = 4*z - 20. Let k = z - g. Is k greater than or equal to -13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**2 + 2*s - 377. Let l(o) = 11*o - 4. Give l(f(i)).\nAnswer: -11*i**2 + 22*i - 4151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 22 + -5151122?\nAnswer: -5151100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 750960 and 400512?\nAnswer: 6007680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2 + -8)*(-60)\/9. Suppose -d = -7*q + 2*q. Find the second derivative of -3*n**3 + 0*n**3 + n**4 + q*n + 3*n**3 wrt n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 48 - 40. What is the derivative of 5 + 6*a**2 + r - 1 wrt a?\nAnswer: 12*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 9:32 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 21b46 (base 13) in base 5?\nAnswer: 3424421","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (189\/(-14))\/(1\/(-2)). Suppose 4*d - b = 2*g + g, 0 = 4*g + 20. What are the prime factors of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 6948.\nAnswer: 6948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a milligram in micrograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 3*d - 3 = 0, g + 2*d + 1 = 3. Let x be ((-4)\/2*-2)\/2. Suppose -5*p + x = 2*u - 3, -3*p = 2*u + 1. Solve -p*v + g*v = 12 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 102.1019398 to two decimal places.\nAnswer: 102.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -j + 3 + 2. Suppose 13 = 2*g - j*d, 5*g - 5*d - 28 = -3. Solve u + 2*u - 32 = -5*r, -4*r = -g*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 343398?\nAnswer: 2, 3, 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -11480.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 - -2. Suppose c*o = -o. Calculate the remainder when 19 is divided by (o - -2)*(-14)\/(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 21*g + 1. Let y be f(1). Suppose -3*h - j - 24 = 0, h + 5*j + y = -0*h. What is the third biggest value in h, 0, 5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-8)\/10)\/(-2))\/(14\/(-20))\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*t = 11*t + 8. Let x(c) = 2*c - 5. Let h be x(4). Solve 3*g = s + 13, g = 3*s + t + h for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven sixths of a decade in months?\nAnswer: 140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 10442 - 4838. Suppose 2*y - 8510 - u = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 18*u - 11. Calculate j(1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6\/31 in 8, 5\/92, 1\/4?\nAnswer: 5\/92","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:59 PM and 6:23 AM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 27373*f*t**4 - 12*f*t**3 + 57*f + 4*t**4 + 60*t**3 - 3251498*t**2 wrt t?\nAnswer: 656952*f*t - 72*f + 96*t + 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) be the first derivative of 283*u**4\/2 + u**3 - 3279*u - 2739. What is the first derivative of l(h) wrt h?\nAnswer: 1698*h**2 + 6*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2651, 10, 9 in decreasing order.\nAnswer: 10, 9, -2651","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**1\/s*(s*(s*s\/s**(-9)*s*s)\/s*s)\/s)\/(((s\/s**(1\/2))\/s)\/((s**(-1\/7)*s)\/s*s)) assuming s is positive.\nAnswer: s**(201\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 44 + -34. Let j(h) = h**2 - 10*h - 3. Give j(k).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 507821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0033523741696 rounded to six dps?\nAnswer: 0.003352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13562, 763, 15088, 29413, 43738?\nAnswer: 58063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**2 - 7*o + 4. Let h be s(-7). Suppose -3*v - f + 6 = -11, -h*v + 6 = -2*f. Let x = -6 - -10. Calculate the greatest common factor of x and v.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -16, -13.\nAnswer: -16, -13, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -3*t**3 + 58*t**2 + 43*t - 69. What is d(20)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 423127\/33 - 12823. Calculate the common denominator of q and -43\/12.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that -3*u**2 + 534*u - 531 = 0.\nAnswer: 1, 177","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -53820 divided by 780?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 14194506 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*w - 8820 = 15*w. What is the lowest common multiple of w and 504?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46165 and 945.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 19*f**2*m**2 + f**2 - 112*f*m**2 + f*m wrt f.\nAnswer: 38*m**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*t + 0*t - 2*t)*(-8 + 134 + 93 - 3*t) + (-4*t + t - t)*(-t + 2*t - 3*t).\nAnswer: 14*t**2 - 438*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(152))\/(4*sqrt(72) - sqrt(72)).\nAnswer: -sqrt(19)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3409 is divided by 57.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.089 + 0.011. Let u = -0.01 + 0.81. Let s = u + 3.2. Which is the nearest to t? (a) 3 (b) 1\/4 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*f - 1798 = 6*f. Suppose -10*i + 1 + f = 0. What are the prime factors of i?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 18 = -n, -4*y - 4*n + 20 - 56 = 0. Let b(g) = 15*g**2 - 15*g - 134. List the prime factors of b(y).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 146217*l = 146179*l - 438 - 1576 for l.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 2*c + 7. Let k be y(-5). Let v(n) be the first derivative of -3*n**2\/2 - 4*n - 38. Give v(k).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 254636306.\nAnswer: 2, 1193, 106721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + (sqrt(170) - 1*((4*sqrt(170) - sqrt(170)) + sqrt(170)) - sqrt(170)) - sqrt(170))\/((sqrt(120)*-1)\/sqrt(12)) + -3.\nAnswer: -3 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7928 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/2 (b) -0.4 (c) -2 (d) -175 (e) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7\/2 - 3. Let n = 375 + -375. Put -2\/17, 2\/9, w, n in ascending order.\nAnswer: -2\/17, n, 2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -q**2\/4 + 1515*q\/4 + 2277\/2 = 0.\nAnswer: -3, 1518","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 100\/17 - 1375\/306. Calculate the common denominator of c and -19\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.076 + -3.166. Let x = i + 3. Let u = 0.19 + x. Which is the biggest value? (a) 0.03 (b) 5 (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/(-3) - (-35)\/21. What is the closest to 0 in -5, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 2)*(0*s - 2*s + s)*(18*s - 6*s + s).\nAnswer: -26*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9272 is divided by 787?\nAnswer: 615","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2*o**2 - o - 9. Determine v(6).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 25 and -0.1.\nAnswer: -2.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 0 times 28.9\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/6)\/(184\/24). Which is smaller: 1 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*j = -3*n + 17*j - 9*j - 21, -n - 27*j = 59 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 25*o**3 - 759*o**2 + 9137*o + 24?\nAnswer: 150*o - 1518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3 (b) -0.04 (c) -333 (d) 14.1 (e) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 0.4 (c) -6 (d) -19 (e) 0.6 (f) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-47 - 20 - 2)*(-3 + 3 + 2)*(j + 2*j - j) as f + x*j and give x.\nAnswer: -276","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 66 and 480502?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 - 2*f**2 + 2*f**2)*(-2*f - 3*f + 1 + f) + (-2 + 2 + 1)*(4*f**3 - 5*f**3 + 2*f**3).\nAnswer: 9*f**3 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -19922727225 + -59.\nAnswer: -19922727284","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 384 - 769\/2. Which is the nearest to 3? (a) p (b) -4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -30 - (-24 - -3) - (-1 - -5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6 or -340\/59?\nAnswer: -340\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) be the second derivative of 2*v**7\/21 - 14*v**6\/3 + 96*v**5\/5 + 4*v**4\/3 - 256*v**3\/3 + 278*v. Solve j(y) = 0.\nAnswer: -1, 0, 2, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 180515*q + 180508*q - 722025*q + 180513*q + 180487*q.\nAnswer: -2*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/7? (a) 3\/2 (b) 5\/4 (c) -136\/3 (d) -2\/5 (e) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -351, -688, -1025, -1362?\n\"Answer: -337*i - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: ((-8)\/(-6))\/(-247*(-52)\/1014)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2188195 is divided by 2086.\nAnswer: 2067","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"} +{"text":"Question: ((-165)\/(-50) - (-72)\/(-90))*42\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 4*g**2 - g + 2. Let s be (-8)\/(-10) + 7\/((-280)\/32). Suppose s = 6*v - 4*v + 4. Calculate f(v).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -5*a**2 + 2*a - 3. Calculate j(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7766*a + 683414. Determine b(88).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 110489 and 313.\nAnswer: 313","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17*(-14)\/(-126*(-25)\/225)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -17 + 14 + 7?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.242440515 rounded to five decimal places?\nAnswer: 0.24244","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/10 of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 25841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*(sqrt(68) + 2 + sqrt(68) + sqrt(68)) + sqrt(68) + 6*(sqrt(68) - (sqrt(68) + 1)))**2 - (-5 + (-1 + sqrt(68))*-6)) + 0.\nAnswer: 268*sqrt(17) + 17423","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y - 0*y. Suppose -20 = -5*t + y*k + 9, -4 = -t - k. Solve 1 = t*u - 19 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 7 = -2*j. Let w be 1\/(j*(-3)\/12). Solve 2*o - w = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -588 - -d?\nAnswer: -579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (624\/91)\/((-10)\/(3150\/(-27))).\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 120 = 4*f - 184. Round f to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100041 + 3?\nAnswer: -100033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2127 in -4, -0.3, 16967, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1217418 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -381 + 385. Let t = -3.4 + 3.3. What is the nearest to 1\/2 in -3\/4, g, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 17) + -2 + 5 + 9 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 27\/2 of a century?\nAnswer: 16200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 20 - -205c0?\nAnswer: 20610","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22*k = 130 - 20 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 97, 221, -5, 4, 2.\nAnswer: -5, 2, 4, 97, 221","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxrrrrxrxr. What is prob of picking 2 x?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -4*m + 2*p, 4*m + 5 = -4*p - 7. What is the second smallest value in m, -70, -0.2, 2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 73 - 11. Let i = z + -30. What is the greatest common divisor of 16 and i?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197584050 to the power of 1\/7, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 230984 by 230984.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from onnnoontnnnoononnt. Give prob of sequence ooo.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -23*k. Let y(n) = -112*n. Determine y(q(s)).\nAnswer: 2576*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:15 PM and 12:24 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-4))\/(-3*2\/8).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32642499 is divided by 1425.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3252283?\nAnswer: 3252283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 3 + 4)*(-5 + 4 + 5)*(4*j**2 - 3*j**2 + 5*j**2) as f*j + v*j**2 + x and give v.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 56*b + 8. Let v be c(-8). Let t = -222 - v. Suppose 4*w + y - 3*y - 404 = 0, -3*y = 2*w - t. What is the hundreds digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 50\/53687 and -7\/925.\nAnswer: 1342175","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-435)\/(-2376)*4 - 2\/(-9). Let i = 193\/110 - v. Put 2, i, 3, 2\/11 in increasing order.\nAnswer: 2\/11, i, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 274\/410 + (-10)\/25. Let c = f - 6142\/123. Let x = -223\/6 - c. Is 12 at most as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = -z - 0*b, 3*z + 3*b = 0. Suppose z = 3*f - f. Suppose f = -h + 5 + 27. What is the remainder when h is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5.2044 - -0.2044. Which is the second smallest value? (a) -4.1 (b) 1\/5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-144)\/891)\/8*-11 + (-625066)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-4)\/(-14) - 222\/42. Let d(o) = 2*o + 1 + 2 + 0*o. Calculate d(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -331 + -100344?\nAnswer: -101115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2\/29 - -71\/232. Sort 2\/7, j, -3.\nAnswer: -3, 2\/7, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*a + 3*j = 29*a - 4, 0 = -2*a - 5*j - 16 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -61*r + 67*r + 30. Suppose -i + 5 = -0. Let a be (7 - i) + (1 - 6). Sort r, -2, a in increasing order.\nAnswer: r, a, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 o when two letters picked without replacement from mqaoo?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -r**2 + 3*r + 18. Let z be y(6). Suppose z*m - 1270 = -10*m. Is m prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -956*r**2 - 2*r + 1. Let f be t(1). Let i = 963 + f. Solve 3*u + 21 = -3*z, z + i*u - 2*u = -22 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -2*q - 3. Let y(u) = u + 1. Let v(p) = -4*n(p) - 9*y(p). Suppose -5*s + 10 = r, 0 = 5*r - s - 2 + 4. Calculate v(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 62698718 is divided by 85.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*v = -3*q + 282, 0 = -5*v + 10. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 517 and 940.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 10*k + 10727 = 5*l, 0 = -5*l + k + 10733. Does 74 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 348 divide 44544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = -f + 2219. Let t be 6\/(-4) - f\/14. Let i be ((2 - t) + 2)*-100000. What is i rounded to the nearest 1000000?\nAnswer: -16000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2457259433 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -f**3 - 8*f**2 - 3*f - 17. What is o(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00009400335 rounded to 5 decimal places?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 113*x + 2323664 - 2323664.\nAnswer: 2*x**2 + 113*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -10 (base 5) in base 3?\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 51 + -53. Let n(t) = 2*t**3 + 5*t**2 + t. Let a be n(o). Suppose -5*v + 42 = a*v. What is the remainder when 10 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**2 - 16*l - 11. Let c be k(-15). Suppose -16 = -2*s + c. What is the lowest common multiple of s and 7?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**2 + 60*i + 67. Let u be g(-23). Let h(n) = -5*n + 36. Let t be h(5). Calculate the highest common divisor of t and u.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -161\/2178 and 8\/2541.\nAnswer: 15246","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 760.\nAnswer: 1\/380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/2 - ((-2)\/1)\/(-1). Let x = 13 - 12. Let y = -0.9 + 0.8. Sort x, c, y in increasing order.\nAnswer: c, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g**3 - 8*g**2 + 35*g - 36. Let z(b) = b**3 + 9*b**2 - 36*b + 36. Let l(i) = 4*f(i) + 3*z(i). Factor l(v).\nAnswer: -(v - 2)**2*(v + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/(u\/((u\/(u\/u**20)*u)\/u)))\/((u*u\/(u**(-20)*u)*u)\/u))\/((u*u**(-15))\/(u\/(u\/u**(-12)))))**(2\/15) assuming u is positive.\nAnswer: u**(2\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (-3 + (sqrt(1053) - (sqrt(1053) - (1 + sqrt(1053) + sqrt(1053) - sqrt(1053)))) + sqrt(1053) + 3 - (4*sqrt(1053)*1 - sqrt(1053)*-1*1)))**2*-2.\nAnswer: -18956 + 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**2 - 711*b - 7009. Determine w(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 3922968, 15691867, 35306708, 62767497, 98074240, 141226943, 192225612, 251070253?\n\"Answer: i**3 + 3922965*i**2 - 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 2\/7 (b) -7 (c) -1\/6 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 4, t: 2, g: 1, o: 1, y: 2, e: 2}. What is prob of picking 2 t?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 3*l - 17 = -5, 4*n - l - 4 = 0. Let y = 33\/14 + -39\/14. Which is the closest to n? (a) -1\/2 (b) y (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = 2*h - 3*h + 6*h - 5, -4*a + 67*h = 15*h - 176 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -3*j + 15. Let g be d(5). Let p be -597 + g + -1*10\/(-5). What is p rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (38\/16*8 + 13)\/((-96)\/48).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, i: 12, o: 1}. What is prob of sequence vvov?\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8*i**4\/7 + 552*i**3\/7 - 9794*i**2\/7 + 9384*i\/7 - 2312\/7.\nAnswer: -2*(i - 34)**2*(2*i - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-41)\/((-246)\/34)*3\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1425*z - 1548*z + 2821*z - 31 to u*z + i and give i.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201 - 141. Let r(f) = -f**3 + f**2 + 6. Let k be r(0). Suppose -s - p = -k*s. What is the greatest common factor of s and 108?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 7:02 AM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is (182*14)\/7 + 6 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s - 9*s = -u, -8*u = 45*s + 2*u + 95 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*k + k + 0*k)*(5 - 2 - 5) + (-3*k - 2 + 2)*(2 + 0 - 1).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -640*v + 0 - 2 = -642*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (140\/(-425))\/(25 + 1053\/195 + -30).\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 186 minutes before 3:50 PM?\nAnswer: 12:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -7*p + 23. Let x be y(4). Sort -7, x, -1.\nAnswer: -7, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6*(-38)\/(-798)*1022\/(-8)*-2?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 96852.56 minutes to nanoseconds.\nAnswer: 5811153600000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**2 - 4 - 9659*f + 19322*f + 11*f**3 - 9666*f. What is v(-2)?\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*f + f - 3*f)*(f - f - f) + 5*f**2 - 7954 - 4*f**2 + 7970 + 3*f.\nAnswer: 3*f**2 + 3*f + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4113871*-5\nAnswer: -20569355","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:29 AM and 11:03 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 107, 2, 12 in ascending order.\nAnswer: 2, 10, 12, 107","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 7\/2 of a meter?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -354 - 434 = -r. Let a be r\/6 - (-2)\/3. Let o be (-16)\/72 + 110\/9. What is the greatest common factor of a and o?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*g - 2*g**2 + 3*g + 2*g - 2*g + g**2 + (-5*g**2 + g**2 + 5*g**2)*(-3 + 0 + 1) + (190*g - 190*g - 15*g**2)*(-1 - 2 + 2).\nAnswer: 12*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*x**2 + 2*x - 2*x)*(0 + 0 - 3*x)*(3*x + 4 - 4) in the form b*x**3 + w + f*x + t*x**4 + v*x**2 and give t.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**1*q**(-5\/7)*(q*q*q\/(q*q**0))**(-17))**27 assuming q is positive.\nAnswer: q**(-6372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10 - 1033143?\nAnswer: -1033133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-165)\/120*4 + (-3)\/(-2). Let x = 5.7 - 7. Which is the second smallest value? (a) p (b) -1\/2 (c) x (d) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/(-72) + (202\/505)\/(((-1980)\/(-50))\/11)?\nAnswer: -1\/24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43\/120 - 1\/40. Suppose 0 = 2*n - 2*w - 2 + 4, 3*n + 1 = 2*w. Does n = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1.5 (b) 2\/3 (c) 9\/65 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (1 - 1) + (-5 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cct when three letters picked without replacement from tttttctctt?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3 + sqrt(48) + 4)**2.\nAnswer: 56*sqrt(3) + 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from bbzbzbzzzb?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -i**5 - 3*i**5 + i**5 - 3 + i**5 + 3 + (2*i + 0 + 0)*(i - i + i**4) + 2*i**5 - 2*i**5 - i**5.\nAnswer: -i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -0.5 (b) -5 (c) 2.4 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(sqrt(220) - (sqrt(220) - sqrt(220)*-2)) + sqrt(220))*-5)\/(3*sqrt(176)\/sqrt(4)).\nAnswer: -15*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 + 933. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 293923 and -0.4?\nAnswer: 293923.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = 11*a + 299811 - 4440021. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 3*s**2. Suppose -7*w = -2*w. Let r(c) be the third derivative of w + 0*c**4 - 1\/60*c**5 - 2*c**2 + 0*c**3 + 0*c. Give r(z(o)).\nAnswer: -9*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (((-24)\/(-4))\/1)\/(21\/(-7))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -27 + 29. Suppose 5*j = -o + 13, -4*o + 30 + 22 = -b*j. Calculate the remainder when (-45)\/(-2) - (-1)\/2 is divided by o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -32\/3 in -5\/14, 3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x*x\/(x**(-6\/11)\/x))\/x**(-5))\/(x\/x**6*x*x**(-2\/17))*(((x\/((x\/x**(-3\/8))\/x))\/x)\/x**(-1\/4))**34 assuming x is positive.\nAnswer: x**(7041\/748)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 4, 4\/3, 8?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 423 divided by 47\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -77\/2 and -37\/999096?\nAnswer: 999096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -492 * -1.1.\nAnswer: 541.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4812, 4810, 4808?\nAnswer: 4806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 341 and ((-527)\/(-34)*-3)\/((-3)\/4).\nAnswer: 682","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = h**3 - 179*h**2 + 1188*h - 179751. Give o(178).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/9, 0.3, -24, 0.7405, 1 in decreasing order.\nAnswer: 1, 0.7405, 0.3, -5\/9, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -10489, -21217, -32425, -44353, -57241?\n\"Answer: -40*j**3 - 10448*j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 3*x**2 - 2*x - 2. Determine u(-1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 + (-34)\/(-18) + -3. Suppose 0 = -7*n + 2*n - 10. Which is the smallest value? (a) 0.3 (b) h (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1.0482 + -29.9518. What is the fourth biggest value in -5, h, -1\/3, -4, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9 - -7. Let g = 3450 - 31100\/9. Calculate the common denominator of g and r - ((-90)\/(-33) - 0).\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.5, 10\/3, 1\/18?\nAnswer: 10\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4, -10, -42, -98, -184, -306, -470?\n\"Answer: -l**3 - 3*l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 176 and 10384?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add 205323 and -0.10181734.\nAnswer: 205322.89818266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 861*o - 1715. What is h(2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8391, -18169, -27945, -37719, -47491, -57261?\nAnswer: -67029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 54650?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) -0.2 (c) -4 (d) -476\/9 (e) 0.19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 55\/7632 and 61\/1424?\nAnswer: 679248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 53447 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 2*y + 66. Let l(d) = 3*d + 98. Let q(c) = -7*f(c) + 5*l(c). What is the remainder when 152 is divided by q(-17)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 0.1 (b) -1\/6 (c) -13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2518 is divided by 28*(-180)\/((-306)\/17).\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 - 6*h**2 - 7*h - 6. Let k(z) = z + 4. Let n be k(-9). Let r be f(n). Solve -r*d + 5 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + (sqrt(153) + 2*sqrt(153))**2)*5*6 + 5)*-3.\nAnswer: -123945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1 + -4314?\nAnswer: -4320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 21*t - 223. What is the remainder when 2057 is divided by p(14)?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2565850?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 + -18. Let c(s) = d - 6*s**3 + 11*s + 0*s**3 + 5*s**3 + 10*s**2. Let q be c(11). Put q, 2, 3 in decreasing order.\nAnswer: q, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10539595 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 75518924?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(30)\/(sqrt(40)\/sqrt(4)) - sqrt(3)) + sqrt(3))*-3)**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 2*n + t - 3*t, 0 = -3*n - 2*t - 7. Suppose 6*d = 3*d + 2*h + 13, -d + h = -6. Which is the nearest to d? (a) -1\/7 (b) -0.1 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -j**6\/120 + j**5\/12 + j**4\/4 - 4*j**3\/3 + 2*j**2 - 2. What is y(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69 - 65 = w. Suppose -119 = -5*f - 6*c + w*c, f - 2*c = 19. Let p be (-2 - (f - 3))\/(-1). Calculate the greatest common divisor of p and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 281 in -2\/33, -0.1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve t + 6*f - 239109 = -239166, -2*f = 20 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 5*r + g, -r - 5*g - 41 + 29 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 543, 2815, 8033, 17367, 31987?\nAnswer: 53063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 60 and 327?\nAnswer: 6540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t - 5*z + 8402 = 0, 5*z = -2*t + 18*z + 4232. Solve t*g = 2113*g - 80 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02 minus 11069372?\nAnswer: -11069371.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v = -5 + 11 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 - 15*n**2 + 9*n + 25. What is t(14)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33*x**2 + 21*x**2 + 19*x**2.\nAnswer: 7*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -39.3461341*-2\nAnswer: 78.6922682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 7:09 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 108\/28 + (-1 - (-8)\/7). Solve j*x - z + 6 = -0*z, 5*x + z + 3 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 4*q = -532, 3*y = -0*y - q + 793. Suppose 4*m - 136 = -5*w, 35 = -3*w - 5*m + 127. What is the greatest common divisor of y and w?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g - g - 88 + 2*g + 14 to the form p + q*g and give p.\nAnswer: -74","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1\/24951 + -22179\/8317. Which is the closest to 1\/5? (a) o (b) -7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -21*b**2 + 90*b + 42. What is q(-6)?\nAnswer: -1254","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (-3 + 2 - -1). Suppose 48*a - 28*a = -25400. Let d = a - -1320. Calculate the highest common factor of d and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7.69 + 115.1?\nAnswer: 107.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -97770 rounded to the nearest one hundred thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 t when three letters picked without replacement from {y: 2, r: 3, p: 2, x: 1, t: 4}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40 = w + 4*z - 26, 4 = -4*w - 3*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-9)\/27)\/(2\/(-6)). Solve -2*w + 6 = -o, o - 5*w - b = -10 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**2. Let a(d) = -d**2 + 3*d + 523. Let x(k) = 2*k**2 - 5*k - 1037. Let y(z) = -10*a(z) - 6*x(z). What is y(u(l))?\nAnswer: -2*l**4 + 992","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 10*o + 11. Give f(-4).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 + -15. Suppose n*m + 2*g = 66, 23*m = 18*m + 5*g + 60. Let k = -85 - -174. Calculate the remainder when k is divided by m.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -19659125 - -3?\nAnswer: -19659122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = a + 3. Let c = a + 3. Let s = 143 + -139. Solve -3*q + c*v + s = v, -2*q - 19 = 5*v for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -38460*s - 243. Is n(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 2*j + 126, -93 - 12 = -4*v - 5*j. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 194.286 years?\nAnswer: 0.194286","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -35*q + 179. Let k be s(37). Let r = k - -7764\/7. What is the common denominator of -76\/21 and r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 12.9. Let q = -491 + 493. What is the closest to k in -2, q, -1\/6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 + 12*c - 18)*(3 + 3 - 1).\nAnswer: 60*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12043 - 11?\nAnswer: 12032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 7*p**2 + 9*p - 20. List the prime factors of b(6).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0332579097293 from -0.28.\nAnswer: -0.3132579097293","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-3 + 11 - (27 + -3)) - 3.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.089 or 265792?\nAnswer: 265792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*f + 190 = -3*f. Suppose 4*y + 3*a = 1900, 4*y - 347 = a + 1553. Calculate the highest common divisor of y and f.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5.03 - 5. Suppose 60*g + 9*g = -276. What is the closest to g in -1, y, 0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 469*n - 471*n - 26 = 4*r, n + 7*r = -38 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -12*u**3 + u**2 + 6*u - 12. Determine s(2).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -7\/16 in -3\/11, 5, 0.3, -3\/2, -2?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16746208?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -444532, -444535, -444550, -444583, -444640, -444727, -444850?\n\"Answer: -o**3 + 4*o - 444535","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -b**3 + 5*b**2 - b + 11. Let i be q(5). Solve h - i = -h - k, 4*k = -5*h + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2461 + 1?\nAnswer: 2462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-6)*s*s**(3\/4)*s)\/(s**(-1))**(-19)*(s**(-1\/3))**(-4\/13)*((s**4*s)\/s)\/((s*s**(2\/3))\/s) assuming s is positive.\nAnswer: s**(-2779\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 484879801 to the power of 1\/7, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9.7 - -63.7. Let k = -54.3 + l. Sort k, 5\/3, -1.\nAnswer: -1, k, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2362 - -3333. What is the remainder when v is divided by 6?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/1722 and -43\/5740.\nAnswer: 17220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*q**3 - 628 + 1277 - 2*q - 652 - 2*q**2 as v + f*q + g*q**2 + y*q**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2600) + -1*sqrt(2600) + sqrt(2600))*-1)\/((sqrt(2) - sqrt(20)\/sqrt(40))*-1).\nAnswer: 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6643 divided by 26.\nAnswer: 511\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 25 and 1309070?\nAnswer: 6545350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 584 divide 3075344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 380 and -1.1684.\nAnswer: -443.992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j - 26 = 3*v, -32 = -j - 0*v - 3*v. Let y(l) = -3*l - 7. Let k be y(-4). Suppose 13 = -2*b + 3*b - 2*t, 4*b - k*t - 46 = 0. Solve b - j = -5*i for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 15*n**2 - 27*n - 11. Let l be a(-13). Factor l*o**3 + 45*o + 3*o**3 - 9*o**2 + 20 + 0*o**3 + 39*o**2.\nAnswer: 5*(o + 1)**2*(o + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -h - 2*c + 10, 4*h - 2 = c for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 2 = 5*j. Let l = j - -5. Let i(s) = 5*s**3 - 2*s**2 + 2*s - 1. Is i(l) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3351671\/8 - -420018. Let g = h - 1057. Let q = 942903\/305354 - -3\/8981. What is the common denominator of q and g?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 240 - 237 = j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.462 minus -0.2?\nAnswer: -1.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 - 5. Let f be d\/(-6)*-9*2. Solve 0 = -3*n + 3*c - f, 5*c - 2*c = -2*n - 17 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 - 5. Let g(k) = -4*k**2 + k - 21. Let p(f) = 2*g(f) - 9*r(f). Let t(z) = z + 14. Calculate the remainder when p(-6) is divided by t(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -44 + (21 + -19 - -4 - -2).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/((-1)\/1))\/(38*175\/(-299250)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 344 in descending order.\nAnswer: 344, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 81 + -77. Is 7 a factor of -2 - -2 - ((-424)\/q - 2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 16 + -25. List the prime factors of t\/2*(-100)\/15.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 at least as big as -9\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mmoqmqmqqvq. Give prob of picking 2 m, 1 o, and 1 v.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2337122*j**4 - 8648*j**3 + 8*j**2 = 0.\nAnswer: 0, 2\/1081","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 65251.\nAnswer: 23, 2837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3592 - 1899. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k - 109 - 6*k + 106 + 4*k. Let d(y) = 11*y + 13. Give 2*d(c) + 9*h(c).\nAnswer: -5*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9*h - 3*h + 5*h)*((-5*h**2 - 2*h**2 + 4*h**2)*(-3*h + 4*h - 3*h) + h**3 - h**3 + 2*h**3).\nAnswer: -56*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*i + 353*i**3 - 352*i**3 + 3*i.\nAnswer: i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1704 and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -21857562.800191 + 21857607. Let x = -44.2 + y. Round x to five decimal places.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/2)\/((-3)\/((-78)\/(-91))).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -209 divided by 108?\nAnswer: -209\/108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.07 and 15457.\nAnswer: -1081.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = x**3 - 6*x**2 + 7*x - 6. Suppose 2*h + 3*h = 300. Let m be -50 - (2\/(-6) + (-798)\/(-126)). Let t = h + m. Determine o(t).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2433? (a) 0.75 (b) 4 (c) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -488 - -517. What is the greatest common factor of 2 and d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.53 + 0.03. Which is the nearest to -3? (a) 0.3 (b) 3\/8 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 166 + -814\/5. Let x = 95676 - 95673. Determine p so that m + 4\/5*p**x - 28\/5*p + 8\/5*p**2 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -85053 or -85279?\nAnswer: -85279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = 4*c - 3*c + 5*n, 0 = -5*c + n + 4. Suppose c = -b + 1 + 3. Solve -16 = -q - 2*q + 4*d, 5*q - b*d = 24 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (53\/(-5))\/((-11)\/55). What is the common denominator of 161\/150 and (b\/75)\/(12\/(-10))?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -43787 - -1356?\nAnswer: -42431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 2\/(1\/(30\/(-12))). Let z(i) = -40*i + k*i + 14*i + 12*i. Let u(v) = 7*v. Give z(u(h)).\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 2834?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n*n*(n\/((n*n**(2\/17))\/n*n))\/n)\/n*n)\/n))\/n*n**(1\/4)*n*n**(1\/2)*(n**(-13\/3)*n*n)\/n assuming n is positive.\nAnswer: n**(-299\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 383328 and 2464?\nAnswer: 2683296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*c - 41 = -2*h, 2*c + 131 = -6*h + 28*h - 17*h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjjrjjjjjjjr. What is prob of picking 2 j and 1 r?\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is (-708)\/(-1596) - (-1047)\/(-6631)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 822905019?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -3*j + 162, 5*p - 220 = -5*j - 0*p. Let t = j + -19. What is the remainder when t is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*22.2216\nAnswer: 22.2216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 192\/13 equal to -48822?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1*((-4 - -1) + 1). Let h be (-16)\/(-4) + (-1 - f). Suppose -4*o = -r - o + 18, 0 = r - h*o - 24. Does r = 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721366 is divided by 19.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -1\/3 (b) -0.04 (c) -0.0286 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-30)\/(-8))\/(1\/84). What is the units digit of (6\/10)\/(7\/p)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.04 - 0.46. What is the closest to -1 in -4, -0.04, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 2*d = -0*d + 22, 2*d = 4*g + 26. Find the common denominator of -9 and g.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 21.4? (a) 1\/2 (b) 1\/4 (c) -5 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 257*h**6\/3 + 95*h**2\/2 - 128. Find the second derivative of j(z) wrt z.\nAnswer: 10280*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m**2\/2 - 10*m + 1785\/2 = 0. What is m?\nAnswer: -21, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -5, 6\/2851, 38?\nAnswer: 38","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2. Suppose 3*n + 6 = -2*j, -j - 2 - 4 = 3*n. Let c = 0 + 2. Let h(a) = c*a + j*a + 0*a - a. What is h(g(o))?\nAnswer: -5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2226, -2227, -2228, -2229, -2230, -2231?\nAnswer: -2232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/10*(-1)\/(4\/(-2))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 80868162 - 5?\nAnswer: 80868156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/5 of a kilogram?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2109\/(-2394) + 10\/14?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5328 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = 4*p - 3*p + 132460000, 3*p = 0. What is o rounded to the nearest one million?\nAnswer: 66000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2216 - -0.23207. Let q = 3.04747 - p. Let v = q - 0.037. What is the third smallest value in -1, -14, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 7*h**4 - 2*h**2 - 22*h + 2. Let z = -5169 + 5171. Let s(j) = -j**2 + 0 + 0 + 1. Let w(a) = z*s(a) - y(a). Find the second derivative of w(c) wrt c.\nAnswer: -84*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.18 - -2.5202.\nAnswer: 2.3402","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102091, -102088, -102085, -102082?\nAnswer: -102079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -391000 to the nearest ten thousand.\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 69711 to the power of 1\/2, to the nearest integer?\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n - n + 3*n + (-12*n - 4 + 4)*(15 - 33 + 15))*(-n**2 + 1 - 1) as y*n + l*n**2 + g + i*n**3 and give i.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = 2 - 18. Suppose -7*w = k*w. Which is bigger: -1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -5729\/14836 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 13*r. Let d(b) = 1 - 3 + 4414*b - 4416*b + 14. What is d(l(s))?\nAnswer: -26*s + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 7, 0, -44, 3 in decreasing order.\nAnswer: 7, 3, 0, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 4*y = -2, 2 = 3*q - 4*y + 4. Suppose 2*b = 7*b + k - 12, 4*k - 4 = q*b. Let d(l) = -3*l - 8. Let n be d(-6). Solve 4*a + n = b*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 156 is divided by ((-2)\/16 - 316\/32)*-4?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152472 minus -11762?\nAnswer: 164234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 49, 0, -1 in descending order.\nAnswer: 49, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17631793?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(171) + 5*sqrt(171) + sqrt(171)))\/(5*sqrt(27)\/sqrt(3)).\nAnswer: -7*sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 + 105 + (45 - -1) - 23?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(95)*1*-6)\/(sqrt(5) + (sqrt(500) - sqrt(500)*2) + sqrt(500) + sqrt(500)).\nAnswer: -24*sqrt(19)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l and 1 m when three letters picked without replacement from {e: 1, z: 8, u: 1, l: 2, i: 1, m: 3}.\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1924, -1910, -1898, -1888, -1880?\nAnswer: -1874","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:41 PM and 9:20 PM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -2 + -3 - (-7 - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -7*t**3 + 5*t**2 + 24*t + 9. Let j(d) = 8*d**3 - 6*d**2 - 26*d - 10. What is 7*c(u) + 6*j(u)?\nAnswer: -u**3 - u**2 + 12*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = -0*u + 288. Calculate the highest common factor of 9 and u.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -225 - -225. What is the units digit of u + (-4 - (-1 + -44))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3206, -0.2, -6, -4, 3, -1 in descending order.\nAnswer: 3, -0.2, -1, -4, -6, -3206","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 98434 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**4\/v)\/v*v*v*v**(1\/3)*v*(v**(-2))**(-6\/13) assuming v is positive.\nAnswer: v**(244\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 2*i + 11 = 5*u, -5*u - i + 2 = 0. Let y(c) = c**3 + 7*c**2 - c - 5. Let a be y(-7). Suppose -40 + 36 = -a*m. Solve -t - u = m for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8610*v - 8609*v - 48 = 2*n, 4*v - 7*n - 169 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c - 1. Let t(b) = -1 - 6*b + 9*b + 2. Let s(n) = 5*f(n) + t(n). Suppose 2 = j - x + 8, -3*x - 22 = 5*j. Calculate s(j).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -121 - 6*f + 253 - 133. What is a(-5)?\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -3*x**2 + 96810*x - 781014675 = 0.\nAnswer: 16135","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 19530 is divided by 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3821082947 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x**2 - 68*x - 258. What is q(-4)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 25457*q - 25455*q - 84 for q.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 3369?\nAnswer: 33690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cucucccccucc. What is prob of sequence uc?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 223 divide 57757?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n**2 + n**2 + 3*n**2)*(-1738 + 2074 + 2757).\nAnswer: 3093*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -36*g**4 + g**3 + 292*g wrt g?\nAnswer: -432*g**2 + 6*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2324 + -2321. Let i = -293.95 + 294. What is the closest to 6 in i, 0, -4, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 0 (c) 157 (d) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5438560 by -5438560.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -11*u**2. Let t(o) = -57*o**2 - 11*o - 22. Let l(c) = 11*c**2 + 2*c + 4. Let a(b) = 11*l(b) + 2*t(b). Calculate v(a(q)).\nAnswer: -539*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*d**3 + 1477*d**2 + 7*d**3 - 1477*d**2.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6 - c**4 - 6 + c**4 - 1 + 1 + (3*c - 6*c + c)*(-7*c**3 + 3*c**3 + 2*c**3) - 11*c**4 + 0*c**4 + 9*c**4.\nAnswer: 2*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*o - 21, -l - 22 = -2*o - 13. Let p(h) be the second derivative of h**2 + 4*h + 0 + 0*h**o - 1\/6*h**4. What is the derivative of p(m) wrt m?\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vttj when four letters picked without replacement from {a: 1, v: 5, t: 7, j: 1}.\nAnswer: 5\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -251*m**2. Let t(z) = -12*z**2. Determine t(q(x)).\nAnswer: -756012*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19760?\nAnswer: 2, 5, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d**2 - 3 - 1035*d + 2706*d - 3*d**2 + 1 + 2450*d to g + t*d + k*d**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -708*h*v**4 + 4*h*v**3 - 2228*h*v**2 + h*v - 4*h - 32*v**4 + 10 wrt v?\nAnswer: -16992*h*v + 24*h - 768*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4\/(32\/12))\/((-2)\/13116). Let j = -5565 - f. Suppose 2*v + 5*a - 2831 = 0, 0*v = -3*v + a + j. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 173 - 69 = -g, -g - 142 = -3*l. Does 15 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 a factor of 154611620?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 4*i - 17 = -27. Factor 2\/3 - 1\/3*u**i + 1\/3*u.\nAnswer: -(u - 2)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 57, 38, 19, 0, -19?\n\"Answer: -19*w + 76","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - m = 4*m + 15, -2*m - 4 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 403203 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 174548.\nAnswer: 2, 11, 3967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5*t - 494 = 4*l, 11*l - 44 = 0. What is the lowest common multiple of t and 153?\nAnswer: 1530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = -5*o + 6. Let j(d) = -d + 54. Let p be j(14). Let k = p - 38. What is the smallest common multiple of k and r(-6)?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 4*p**3 + 1163*p**2 - 3*p + 9. Let n(b) = -2*b**3 - 1162*b**2 + 2*b - 6. What is 3*n(g) + 2*s(g)?\nAnswer: 2*g**3 - 1160*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**2 + 131*c - 42*c + c**2 + 2 - 3.\nAnswer: 2*c**2 + 89*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(60\/(-9))*4\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gl when two letters picked without replacement from {g: 8, l: 10, h: 1}?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5793, 5794, 5793, 5790?\nAnswer: 5785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4 = -8, 1779 = -5*d - 4*u. Let z = d - -624. What are the prime factors of z?\nAnswer: 5, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 498.087 and -319.\nAnswer: -158889.753","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3461?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -15 - -20. Suppose -635 = -3*w + d*z, -4*w - 10 = -4*z - 862. List the prime factors of w.\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 146 and 1825.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) 1 (b) -1\/3 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1238*w + 568*w + 7072 = -3238 + 2940 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/(-51) - 84\/(-714)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -1433, 0.1, -2, -1\/4 in decreasing order.\nAnswer: 0.3, 0.1, -1\/4, -2, -1433","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -0.3 (b) -5 (c) -4 (d) -14\/13 (e) 0.1 (f) 14\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 26 = -0*j + 2*m, -2*j + 2*m = 2 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -26.8 + 21. Let z = 5.80000046 + s. Round z to 7 dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/5 of a tonne in kilograms?\nAnswer: 10600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.03 from -79.296862.\nAnswer: -79.266862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/27)\/p*p*p)\/p**(-2\/15) assuming p is positive.\nAnswer: p**(163\/135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (0 - 1)*(10 + -3 + -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 7560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(7) + 1 - 2*sqrt(21)\/sqrt(3))*1.\nAnswer: -sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 10293320519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5943\/101 - -3073961\/52116. Find the common denominator of 13\/60 and s.\nAnswer: 2580","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -29*t**4 - 39*t**3 + 3*t**2 + 6*t - 70068 with respect to t.\nAnswer: -116*t**3 - 117*t**2 + 6*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6614491341 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -3*d + n + 83, 0 = -2*d + 3*n + 29. What is the derivative of -8*r**3 - 28 + 0*r**3 - 11*r**3 + d wrt r?\nAnswer: -57*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -22 - -36. Let c(p) = p**3 + 6*p**2 - 7*p - 6. Let i be c(-7). Calculate the remainder when a is divided by 2\/(i\/(-9)) + 5.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r and 2 h when four letters picked without replacement from rrrhrh?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 58\/280*(-1 - -6) - (-3)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 2*z - 186. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 30*i**2 - 10*i + 40. Let s(m) = 2*m**2 + m. Let x(b) = -2*f(b) + 28*s(b). Factor x(o).\nAnswer: -4*(o - 10)*(o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0.1, -9, -0.4, -4, -0.5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.21 + 2.81. Let f = c - 2.89. Let g = f - -0.4. What is the nearest to g in 4, 0.3, -4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3588 - 45?\nAnswer: -3611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 385376?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u - 5*n = 16 - 1, -5*n - 15 = -u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2)\/(-10) - (-9)\/(-45). Suppose 5*a - 13 = -2*r + 2, -5*r - 4*a + 12 = f. Suppose 0 = -c + 5, r = -q + 4*c + 105 + 15. Round q to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -325 (base 7) to base 6.\nAnswer: -434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-58)\/290)\/((-3)\/4*-2)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, -41, -59, -75?\nAnswer: -89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:23 AM?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/(i**(-4\/5)*i*i))**26*i\/i**(2\/15)*i**(7\/3)\/i assuming i is positive.\nAnswer: i**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6 - 8)\/((-4)\/118). Let z = -18 + u. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g - g)*(-2*g**2 + 0*g**2 + 0*g**2) + 123 + 338*g**3 - 120 - 355*g**3.\nAnswer: -13*g**3 + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 643828 and 284?\nAnswer: 284","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 3*b - 296. Let s(l) = 2*l - 198. Calculate -5*k(x) + 8*s(x).\nAnswer: x - 104","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8440 a multiple of 211?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) be the first derivative of -v**4\/4 - 2*v**3\/3 - v**2 - 4*v - 36. Let g be y(-2). What is the smallest value in -2, g, 0.2, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-68)\/72 - 4\/(-18) and 2\/1 + ((-854)\/(-140) - -2).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 460 + -654. Let d = 4 - j. Calculate the greatest common factor of 18 and d.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 17*y**3 + 6*y**2 + 6. Let x(i) = 154*i**3 + 55*i**2 + 55. Give 55*c(s) - 6*x(s).\nAnswer: 11*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 11:18 AM?\nAnswer: 9:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, -2, 3, 1\/10, -8, -3\/10.\nAnswer: -8, -2, -3\/10, 1\/10, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 + 2 - 3)*(0*g + 2*g - g) - 8*g - 1 + 22*g - 5*g)*(-2*g**3 + 2*g**3 + g**3).\nAnswer: 10*g**4 - g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5152080 to the nearest integer?\nAnswer: 2270","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2\/3 (b) 1 (c) 2 (d) 11\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r**3 + 5 + 0*r**3 - 9*r**3.\nAnswer: r**3 + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -72 + 61 + 119 - 248*s + 220*s + 66 to the form u*s + c and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -441*l**4\/2 - 26231646*l**3 - 72448651*l**2\/2 - 10944604*l - 951704 = 0?\nAnswer: -118963, -1, -4\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/12)\/((-5)\/20)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32*v**3 - 7*v**2 - 7*v - 29. Let h(q) = 33*q**3 + 6*q**2 + 6*q + 29. Let a(w) = -7*h(w) - 6*y(w). Differentiate a(k) wrt k.\nAnswer: -117*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4846, 51, -3 in decreasing order.\nAnswer: 51, -3, -4846","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216 and 5238?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**2\/2 + 32665*y\/2 - 1513165.\nAnswer: -5*(y - 6439)*(y - 94)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.12319701 rounded to 3 decimal places?\nAnswer: -0.123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 457.062 times 0.2\nAnswer: 91.4124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.515436478 rounded to two decimal places?\nAnswer: -14.52","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from hhhhheehhhhheeheehh.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -155697, -155704, -155725, -155766, -155833?\n\"Answer: -l**3 - l**2 + 3*l - 155698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 = 36*n - 6212. What is the hundreds digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 29 + -29.1. What is the second biggest value in q, 3\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7.1772 + -7.3. Let a = k - -0.252. Let d = a - 0.129787. Round d to five decimal places.\nAnswer: -0.00059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 5, m: 8}. What is prob of picking 2 l?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -46\/8965 and 41\/50530.\nAnswer: 555830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k**2 + 4\/3*k**5 + 0 - 2*k**4 - 8\/3*k - 14\/3*k**3 = 0 for k.\nAnswer: -2, 0, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3\/53, 0.6, -4?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/93 - 2380\/(-7905).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3 = -d, -2*v + 6 = 2*d + 2*v. Let r = 2 + d. Suppose -u + 3*o = -4, -12 - 8 = -r*u + 3*o. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 7535?\nAnswer: -1\/1507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/15*-10*(-9)\/6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, k: 1, w: 1, i: 2}. Give prob of picking 1 k, 1 i, and 1 w.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1360 is divided by 448.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122182 is divided by 214?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the first derivative of -13*x**2 + 0*x + 0*x**5 + 0*x**4 + 2\/3*x**3 + x**6 + 24. What is the second derivative of f(p) wrt p?\nAnswer: 120*p**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -q**3 - 4*q**2 + 5*q + 2. Let z be c(-5). Let o(b) = 2*b + 6*b - z + 1 - 2*b. Let g be o(1). What is the highest common factor of 10 and g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 97 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/3 (b) -153 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -8*r - 26. Let f(u) = 9*u + 27. Let w(x) = -5*f(x) - 6*s(x). Let n be w(-5). What is the second derivative of -5*q**2 - 26*q + 2*q**2 - n*q**2 wrt q?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10289994739 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 - 313?\nAnswer: -317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 50882, 50890, 50908, 50942, 50998?\n\"Answer: r**3 - r**2 + 4*r + 50878","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 79. Solve -j + 6*n = 2*n - 15, -5*j = -a*n - 11 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 277 divide 188564?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 460902276?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -7\/186227 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 6829767 a multiple of 119?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-20)\/(-8) - (-3)\/(-6). Suppose 2 + 0 = q, -198 = -v*z + 3*q. Suppose -z = -3*b + 96. Is b a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 9526 and 3338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 537.02 - 536. Let j = -1.020000145 + i. What is j rounded to seven dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -243 + 309. What is the remainder when 316 is divided by f?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + i - 1 + 6, 0 = -3*o + 3*i - 3. Let u = -2 - -4. Which is the third smallest value? (a) u (b) o (c) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(2\/13))**(6\/19))**20*(q**(-2\/7)\/q*q)**18\/(q**9*q**(-3\/2)) assuming q is positive.\nAnswer: q**(-25239\/3458)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s + 5 = 27*g - 22*g, 13*g + 19*g + 2*s = 29*g + 28 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 59\/5 of a millennium in decades?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1991746693 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -5*i**4 - 670*i**3 + 210175*i**2 + 422340*i + 211500 = 0.\nAnswer: -282, -1, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 58619000 rounded to the nearest 1000000?\nAnswer: 59000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -134 + 141. Suppose z*o - 6*o - 214 = 0. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gpgqqqgagggqqqq. Give prob of picking 3 g.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6185 and -2.57.\nAnswer: 6182.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2257037 is divided by 567?\nAnswer: 377","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-170)\/3)\/((-6)\/189). Let u be r\/(-460)*(-2)\/(-311). Let j = u - -1\/311. Which is smaller: j or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4732 and 52?\nAnswer: 4732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -3*(2 + 16\/(-6)). Let h be -3 - (1 + (-22)\/t). Let r(j) = -j**2 + 8*j - 7. Let f be r(6). Sort h, f, 2 in decreasing order.\nAnswer: h, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3491 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fqqkffkf. What is prob of sequence fkfq?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vn when two letters picked without replacement from {w: 3, z: 7, n: 3, v: 1, k: 4}?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -8487, -34646, -78239, -139266, -217727, -313622, -426951?\nAnswer: -557714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*p - 3*p + 2*x - 10, 5*x - 25 = 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -131) + -3 + 1 + 0 + (124 - 130)\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 466 a factor of 312686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 76\/9 and -49\/204.\nAnswer: 612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*v + 6*v + 315. Let f(p) = p**3 + 8*p**2 - 9*p + 3. Let s be f(-9). What is the common denominator of (s\/15)\/((-4)\/v) and 37\/20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 62*f**3 + 59*f**2 - 8*f + 20. Is 28 a factor of l(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 294*z**4 - 3302*z + 199*z**4 - 151*z**4 + 3185*z wrt z.\nAnswer: 4104*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 228 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 16*a*n + 206*a + 14536*n wrt a.\nAnswer: 16*n + 206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -225062*o**2 + 45698*o wrt o?\nAnswer: -450124","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.93 + -0.13. What is v rounded to zero decimal places?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67661 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -13792*g - 67560. What is l(-5)?\nAnswer: 1400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(396)\/sqrt(2))\/(sqrt(2) - 2*sqrt(200)).\nAnswer: -3*sqrt(11)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -210294*q - 630884. Calculate f(-3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4897*-0.5\nAnswer: 2448.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 3*x - 21. Let n(m) = 2*m - 10. Determine 5*n(q) - 3*p(q).\nAnswer: q + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1771114464 divided by -8199604?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1)\/(((-3)\/(-12))\/(-1)). Let r(t) = -8 - 3*t + f*t + 8. Let z(p) be the third derivative of p**4\/12 - p**2. Calculate z(r(j)).\nAnswer: 2*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 135*r - 2. Let t be p(1). Let a = -85 + t. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -323 (base 5) to base 9\nAnswer: -107","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00004688 rounded to seven decimal places?\nAnswer: -0.0000469","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -q**2 - q - 8. Let d(b) = b**2 + 2*b + 17. Let y(u) = -2*d(u) - 5*l(u). Let f be y(-2). Solve -5*z = 5*p + 20, f = -z - 4*z - p for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12794, 12792, 12790?\nAnswer: 12788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1645346 (base 12) in base 11?\nAnswer: -2642327","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 19525799 divided by -219391\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 + -14 - (-120)\/14. Is d equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14*t**4*w - 3587*t*w**3 - 2380*w**3 - w**2 + 2 wrt t.\nAnswer: 56*t**3*w - 3587*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -8*b**2 + b. What is r(-1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 7\/3 - 2\/(-3). Suppose 2 = 2*o + 3*i, i - 3*i + j = 3*o. Let m be (2 - 2) + 5\/2 + -3. Which is the closest to o? (a) 1 (b) 0.3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -2643?\nAnswer: 2647","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -402755, -805515, -1208257, -1610975, -2013663, -2416315, -2818925?\nAnswer: -3221487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 436056 (base 8) in base 12?\nAnswer: 70926","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r - 9560 + 5082 = -101*r + 6522 for r.\nAnswer: 110","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28907*c**3 - 1614 + 1614 - 28908*c**3.\nAnswer: -c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 532 + -523. Suppose -3*l + 3*w = -93, i*w + 23 = l + 6*w. What is the greatest common divisor of 14 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - 31) + 7 - (0 - -4)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-286)\/44 - 2\/4?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 a, and 1 w when four letters picked without replacement from {q: 2, a: 10, x: 2, b: 2, o: 3, w: 1}.\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 741241.7ms in microseconds?\nAnswer: 741241700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 4*y - 4. Let n(w) = -w + 1. What is -8*n(t) - 3*z(t)?\nAnswer: -4*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1469305 to the nearest integer?\nAnswer: 114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 4*u + 2)*(510*u + 6 - 8 - 5*u + 0) to the form l*u**2 + b*u + x and give l.\nAnswer: -2020","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 187115096?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of 11*l + 5\/48*l**3 + 1\/24*l**4 - 1 + 1\/16*l**2. Let j(c) be the first derivative of x(c). Let j(h) = 0. Calculate h.\nAnswer: -1, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 20721726?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u**5\/11 - 2394*u**4\/11 - 955206*u**3\/11 - 127042398*u**2\/11 = 0.\nAnswer: -399, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1104 and 24?\nAnswer: 1104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -12*f**3 - 10*f**2 + 10*f - 1717. Let l(g) = -2*g**3 - 2*g**2 + 2*g - 2. Give 5*l(q) - t(q).\nAnswer: 2*q**3 + 1707","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-20))\/((-792)\/165)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 222032877 and 44187?\nAnswer: 3399","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 1 - 142454*h + 0 + 108136*h to the form b*h + a and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, 3, 2 in increasing order.\nAnswer: -4, -2, -1, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -35.945 + -0.055. Let i = -1040.1 + 1000. Let s = i - a. Round s to the nearest integer.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6 - -18. Calculate the lowest common multiple of j and 6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - 3 + 6)*(4543 + 4497 - 8826)*(26 - 4*k**2 - 26) in the form c*k**2 + w*k + b and give c.\nAnswer: -1712","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 599630268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/37? (a) -2\/347 (b) -0.2 (c) 1 (d) 2\/247\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w, given that w**3 + 592683*w**2 + 2370720*w + 2370716 = 0.\nAnswer: -592679, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 137\/60 and -37\/1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 11*b + 5*b**2 - 10 - b**2 + b**2 - 3*b**2. Let c be z(-10). Suppose 0 = 2*l - 6 - c. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -92831, 4, -4, -288.\nAnswer: -92831, -288, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-144)\/56)\/((102\/(-28))\/17)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14 - -13.7. What is the closest to -1 in 3\/5, b, -0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (216029\/(-15807))\/((-41)\/18).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q**2 - 16*q - 2. Suppose 4*i - 92 = -4. Calculate the least common multiple of i and c(-3).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3488 and 464?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3550007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8821 - 4?\nAnswer: 8816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 14 + -6 - 7 - -15. What is the second derivative of -9*w**2 + 35*w + 59*w - w**2 + 72*w**2 - z*w wrt w?\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, -4, 89.\nAnswer: -4, -3, -2, 89","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 - 3 - (1 - 1 - 6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 148.8686 - 0.0686. What is t rounded to the nearest 10?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 24 * -0.865184.\nAnswer: -20.764416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2310 is divided by 89.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/u**(-1\/7))\/u**(-1))\/(u**(1\/2)\/u)**(-14) assuming u is positive.\nAnswer: u**(-34\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - 2*s - 1. Suppose -o + 6*o = 20. What is the units digit of y(o)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11628 + q - 11649 + 17*q**2 + 2*q - 722*q**4 - 3*q**5 + 23244 wrt q?\nAnswer: -180*q**2 - 17328*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -67*z**2 - 5*z - 10. Let p be t(-2). Let i = p - -270. Solve -m + 2*k - 3 - 1 = 0, 0 = 5*m + i*k - 28 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from nyynyynynyyyyyyyyy.\nAnswer: 91\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -z**2 - 30*z - 120. Determine g(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14*g**4 - 33*g + 33*g)*(5*g + 4*g - g).\nAnswer: -112*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a meter in centimeters?\nAnswer: 640","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -23.695 - 11.39. Let n = 0.085 + l. Let s = 34.99969 + n. What is s rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - 3 - -4) + 3 + -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-87)\/(-30) + -3)*70\/(-56). Put h, 60, -0.06 in decreasing order.\nAnswer: 60, h, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes before 8:06 AM?\nAnswer: 7:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11.4, 189.7, 0, -0.2.\nAnswer: -0.2, 0, 11.4, 189.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95409527.\nAnswer: 131, 728317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -464, -113, 480, 1321, 2416, 3771, 5392?\nAnswer: 7285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.01 + -0.01. Suppose -2 - 2 = j. Which is the second biggest value? (a) x (b) -0.4 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 9107, 18015, 26923, 35831, 44739, 53647?\nAnswer: 62555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the first derivative of 4*m**3\/3 - 4*m**2 - 12*m - 11. Factor x(z).\nAnswer: 4*(z - 3)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 538 and 40350.\nAnswer: 40350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.03 and -47?\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 15*c**3 - 19*c**2 + 13*c + 4. Let u(j) = -8*j**3 + 10*j**2 - 7*j - 2. Let v(w) = -6*d(w) - 11*u(w). Give v(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of 7*z**4\/3 + z. Let c(t) = t**3 + 10*t**2 + 8*t - 10. Let q be c(-9). Does 14 divide r(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4.8 (b) -5 (c) -1\/31\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 + 0 = -d. Suppose 3*s - 8 = 5*q, 5*s + 14 = d*s + 5*q. Calculate the remainder when s is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 + -15 - (41\/18 - (6356\/(-252) + 25))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 38082.753 - 49099.\nAnswer: -11016.247","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 11*n**2 - 1. Let z be m(1). Let s(p) = 329*p - 14974. Let j be s(46). What is the greatest common divisor of j and z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -958 - -1593. Is -4*q\/(-10)*1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15769 is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -b + 2*b. Calculate the remainder when 15 is divided by b*-2*(-1)\/(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*r**2 + 2*r - 23*r**2 + 2 - 1 - 15*r**2 to y*r + g*r**2 + l and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -361*w = -270*w + 3731 for w.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + ((sqrt(5) - -5*3*sqrt(5)) + 5)*3)**2.\nAnswer: 1536*sqrt(5) + 11776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/6*7\/(-14)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s**2 - 4*s - 10. Let o = -40 - -38. Let c(u) = u**2 + u + 3. Give o*y(t) - 7*c(t).\nAnswer: -t**2 + t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*t + 4*t - 12. Is 5 + 4 + 255 + t a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o + 2*o - 405 = 0. Suppose 3*r - 70 = 5*s, -4*r - 3*s + 22 + o = 0. Suppose 5*j - 10 = r. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5a - -14282?\nAnswer: 14331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 290 and 291.\nAnswer: 84390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5*5 - (15 - 16) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5730 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:56 PM and 3:21 AM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -544 + 544.237. Let v = 0.337 - q. Sort 31, 0.5, v in descending order.\nAnswer: 31, 0.5, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48345687233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s + k = -24, 0 = -0*s + 4*s + 2*k - 48. What is the remainder when 20 is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106399933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-36)\/(-91))\/(2\/21). Let z = k - 836\/195. Let q = 0 - 0.3. Sort 0, z, q in ascending order.\nAnswer: q, z, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a tonne in kilograms?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2. Let k(i) = 2*i - 15. Let g(f) = -4735*f - 450. Let j(m) = -5*g(m) + 150*k(m). Determine x(j(y)).\nAnswer: -1149601250*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r**5\/3 - 571*r**4\/3 + 569*r**3\/3 + 571*r**2\/3 - 190*r = 0. What is r?\nAnswer: -1, 0, 1, 570","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-13)\/(-6) - 2)\/((-6)\/(-9)). Let j = 7 - 5. Let n = 0.05 - -4.95. What is the closest to j in 1, g, n?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -985, -3, -13, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -187*i + 184*i = -45. Calculate the remainder when 204 is divided by i.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4335329 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-2\/11)\/x**2*(x**(-4\/7)\/x)\/(x\/(x\/(x*x**(-6)))*x))\/(((x**1*x)\/x)\/x*x\/x**(-1\/3))**(14\/9) assuming x is positive.\nAnswer: x**(-3799\/2079)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l + v + 639, -6*l + l + v = -1065. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 10*q**2 - 19*q + 41. Let h be c(12). Let n = 121 - h. Let y(l) = -6*l - l**3 + n*l**2 - 11*l**2 + 3 - 11*l**2 - 6*l**2. What is y(-7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1177415 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 8*k + 36. Let q be m(-6). Let i be ((-8)\/q)\/(0 - 2\/3). Which is the biggest value? (a) i (b) 4 (c) -0.1 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 926151354?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96815 and 255.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, n: 4, l: 1, r: 1, a: 1}. What is prob of picking 1 l and 1 r?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - (-200)\/(-5))\/(1\/(-2) + 2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1842\/(-13815)*87\/(-2))\/((-8)\/120)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-4)*1)\/((-2)\/5).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -41 (base 6) to base 5\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (135\/(-90))\/((-1)\/(-6))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 44 - 43.79. Let q = u + -0.01. What is the biggest value in 3, -8, q?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -6, 4 in ascending order.\nAnswer: -6, -5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 67710845.\nAnswer: 5, 2137, 6337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4105200712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 111434*p - 2117618. Determine j(19).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2 + 0 + (-5)\/((-15)\/(-9)). Which is greater: -3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 6. Let s be v(-9). Is s - 1 - (4 + -96) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, n: 2, v: 4}. What is prob of picking 1 c and 2 n?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in 0.2, -0.2, -3\/65, -2\/143, 0.07?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let -719*m**5\/7 - 304859*m**4\/7 - 31699825*m**3\/7 + 130653839*m**2\/7 - 98236272*m\/7 - 412164\/7 = 0. What is m?\nAnswer: -214, -3\/719, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23739220?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 149*k = 71*k + 106*k - 212884. Is k a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 405908534 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 divisor of 226086047 and 26972.\nAnswer: 6743","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*j - 565 = 53*j - 71 for j.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -10013, 5, -40, -4 in descending order.\nAnswer: 5, -4, -40, -10013","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -10*f**4 + 1815*f**3 + 6460*f**2 + 2775*f = 0?\nAnswer: -3, -1\/2, 0, 185","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -6c3a7b (base 14) to base 12\nAnswer: -12a4225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 5*t + t = -83, 5*t + 35 = 3*m. Suppose 3*n - m = -2*n. Differentiate -4*i**3 + 2*i**3 + n + 0 with respect to i.\nAnswer: -6*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 92, -808, 4, 129 in descending order.\nAnswer: 129, 92, 4, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -299192*c**2 - 8115525*c wrt c.\nAnswer: -598384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -4 + -12*8\/(-12). Suppose u + 3*o = 110, 0 = -u - o - g*o + 118. List the prime factors of u.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2\/7, 1, 484\/5, 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -6*j**2 - 654*j - 6292. What is v(-10)?\nAnswer: -352","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve o - 5*x + 25 = 0, -2*x = -19 + 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 77\/7632 and -43\/671616.\nAnswer: 671616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w + 2*w)*(2*w + 2*w - w) - w**2 - 3*w**2 + 5*w**2.\nAnswer: 19*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -12 + 7. Let p = d + 7. Let o = -89 - -93. Solve -3*m - 2*u + 3 + p = 0, -5*m = o*u - 11 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5 + -2 - (-4386)\/5. Let j = -883 + v. Let x = j + 211\/20. Find the common denominator of -55\/12 and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**3 - 8*g**2 + g - 6. Let p be a(8). Suppose p*q = 3*q - 2. Let z(u) = -10*u**2 + 12*u + 11. Let b(d) = -d**2 + d + 1. Determine q*z(x) - 22*b(x).\nAnswer: 2*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -87, -90, -93?\n\"Answer: -3*l - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(294) - -6*-1*sqrt(294) - sqrt(294))\/sqrt(6))\/(1*sqrt(28)\/sqrt(4) + sqrt(7) - sqrt(63)*-1).\nAnswer: -6*sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 12:40 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 2\/13 (b) 119.1 (c) 0.5 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2064 and 2064.\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 91453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 38 - 74 = -48 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v - 3*v = 9. Let o = v - -13. Does 4 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -224 - a**2 - 199 - a**2.\nAnswer: -2*a**2 - 423","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1389265 and 1.5.\nAnswer: -2083897.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 7405*h**2 + 2 + 7388*h**2.\nAnswer: -17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -231*o. Let b(f) = -8*f. Give 88*b(d) - 3*q(d).\nAnswer: -11*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(150)*-2)\/sqrt(10) + sqrt(15) + sqrt(15))\/(5*(-2*sqrt(5) + sqrt(5))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a + 12, 5*s - 5*a + 130 = 0. Let t = -26 - s. Solve -5*i - t*r + 0*r = -32, 2*i = 2*r for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w + 8 = -5*y, 4*w - 1 = 3*y - 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 79 - f - 23 + 0*f. Let q be k(0). Suppose q = m + 3*m. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*c**2 - 6 - 3*c**2 + c**2 - 8*c**3 - 3*c - 3*c**3 to the form h + s*c + t*c**3 + d*c**2 and give t.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) be the second derivative of -1\/6*j**3 - j - 1\/14*j**7 + 0*j**5 + 0*j**2 + 0 + 0*j**6 + 0*j**4. Find the second derivative of a(y) wrt y.\nAnswer: -60*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -133280 by 19040.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -13063220 - 6?\nAnswer: -13063226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vcp when three letters picked without replacement from {v: 1, i: 4, c: 10, p: 4, t: 1}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 39 = 1. Let u(m) = 35*m - 3. Let a be u(-2). Let r = 81 + a. What is the smallest common multiple of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3852158.\nAnswer: 2, 1926079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:17 AM and 4:33 AM?\nAnswer: 76","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes before 1:35 AM?\nAnswer: 12:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -22 and -0.5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -15*(-4)\/80 - (-7)\/(-9). Let f = g - -121\/36. Factor -7\/6*q**3 + 13\/3*q**2 - 4\/3 - f*q.\nAnswer: -(q - 2)**2*(7*q + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (-2 + ((0 + sqrt(891) + -2 + (sqrt(891) - (-1 + sqrt(891)))*1)*5)**2)*3.\nAnswer: -1350*sqrt(11) + 66890","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Round 4165 to the nearest ten.\nAnswer: 4170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -ecef3 (base 16) to base 2.\nAnswer: -11101100111011110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.033 times 7.963?\nAnswer: 0.262779","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in -1, 3\/202, -0.5, 3, -19?\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s**2 - 3*s**2 + s**2)*(-2*s + 6*s + 0*s)*(-13 - 6 + 1) in the form i*s + t + u*s**2 + y*s**3 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7, -4, -1, 3 in descending order.\nAnswer: 3, -1, -2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.0144 or -3\/2?\nAnswer: -0.0144","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 19*l**2. Let o(m) = 9135*m**2. Determine z(o(x)).\nAnswer: 1585516275*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 172 - 8. Suppose -b - q = -5*b. Let m = 28\/3 - b. Is m > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2830 by -5.\nAnswer: 566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1791120 + -184743?\nAnswer: 1606377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**4\/9 + 16*d**3\/9 + 8*d**2\/3 - 32*d.\nAnswer: -2*d*(d - 6)**2*(d + 4)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.2 greater than 3.32?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = 28*a. Let x(g) = 2*g**2 + 735*g - 1. Calculate m(x(q)).\nAnswer: 56*q**2 + 20580*q - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 660 and 217920.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 117222 is divided by 19535?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -56*q - 7. List the prime factors of h(-2).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a - -14?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 12 and 252?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18 - 3. Let x = -27 + t. Let w(g) = g**2 + 11*g - 5. What are the prime factors of w(x)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of h**7\/42 + h**3\/3 - 2*h**2 - 5. Let j(v) be the second derivative of a(v). Differentiate j(o) with respect to o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - h + 1. Let m be u(1). Let q be (2 + -1)*m + 1. Suppose i + 219 = 4*n - 2*i, 0 = -q*i - 2. Is n a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 60 = -3*t. Let c = 35 - t. Let x = c - -36. List the prime factors of x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/88 and 7\/16.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 30*f - 145. Let u be m(6). Suppose 0 = 3*v - s - 20, 3*v - 2*s - u = -2*v. Solve 4*i + 4 = 4*b - 0, -v*i + 40 = 4*b for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 3*m - 101. Let p(t) = -2*t + 100. Let w(z) = 5*p(z) + 4*r(z). Let j be w(0). Find the common denominator of 131\/18 and 10\/(-25)*1070\/j.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/5 - (-6)\/(-35). Let p(g) = -g + 1. Let i be p(0). Which is the closest to i? (a) z (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-11512)\/20146*(-7)\/246*1\/2.\nAnswer: 1\/123","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**3\/2 - 105*y**2 + 4539*y\/2 - 15606.\nAnswer: 3*(y - 36)*(y - 17)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 3325\/164 and 19 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11513 + 33669. List the prime factors of p.\nAnswer: 2, 19, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/361 bigger than -20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.265215kg?\nAnswer: 265215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 9*x**3 - x**3 + 14*x**3 + x**2 in the form m + j*x**3 + w*x + t*x**2 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3467.1048 - 3467. Is -2\/3 > n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*f = -9*f - 28 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100 - -100101?\nAnswer: 100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -139 - -145. Suppose v*i = 2*i - c + 18183, 3*c + 4562 = i. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 653, 2627, 5933, 10583, 16589, 23963, 32717, 42863?\nAnswer: 54413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*h**3 - 9759*h**2 + 39072*h - 39084.\nAnswer: -3*(h - 2)**2*(h + 3257)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 3*a = -465, 513 = 3*d + a + 60. Calculate the greatest common divisor of d and 184.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*q + 10 - 36 = 0 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 1975*l - 16464. Give b(8).\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -z - 0. Let j = z + 22. What are the prime factors of j?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226509, 226492, 226475, 226458, 226441?\nAnswer: 226424","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b + 2*b - 20 = 0. Suppose -b*o = -3*o + 14. Is (-233)\/o - (-4)\/(-14) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 943*d*g*j**2 - 34*d*g - 54*d*j**2 + 2*d*j - 557*j wrt j.\nAnswer: 1886*d*g - 108*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10867496 + 10867495.93200067. Let p = 0.158 + -0.09. Let t = p + s. Round t to 7 dps.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.694814 + -4146\nAnswer: -4145.305186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -5*y + 1. Let s be -4 + (64\/1)\/4. Let i be -3*(-28)\/24*s\/14. Give k(i).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.3941586t to milligrams.\nAnswer: 394158600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**2*y)\/y**(1\/6))\/(y**(-3)*y\/(y*y**(1\/2))) assuming y is positive.\nAnswer: y**(22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -55.6 (b) 1 (c) 7123\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-5) + 12\/5. Let b(u) = -5*u**t - u**3 + 0*u**3 + 0 + 4 - 4*u. Let g be b(-4). Let l(d) = d**3 - 5*d**2 + 5*d - 2. What is l(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/2, 172, 1\/11, 4?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -167215 + 167214.97. Let x = 55 + -439\/8. Let p be 0 + (-2)\/(-19)*-1. What is the closest to i in p, 0.5, x?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 2*o - 29. Suppose -4*x + 0*x = -64. Let a be b(x). Suppose 2*n = -3*p + 573 - 205, a*p - 369 = -3*n. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8 - -7a?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 323 minutes after 12:03 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 6, -21, -11\/5, -1\/3 in descending order.\nAnswer: 6, 5, -1\/3, -11\/5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -60 greater than -64?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 11, q: 6, g: 2}. Give prob of picking 1 q and 2 a.\nAnswer: 110\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 143995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wb when two letters picked without replacement from {w: 8, d: 2, b: 8}.\nAnswer: 32\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -9, -2.\nAnswer: -9, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -325*v - 5861. Give r(-21).\nAnswer: 964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -771 = -72*j + 38 - 17 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2475530927 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*z = -6*z + 60. Let p be 9\/z - (-92)\/16. Solve 3*s = -2*c + 9, -2*c - p*s + 15 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -16*z + 2. Let x(h) = -17*h + 3. Let s(d) = -2*d**2 - 2*d + 8. Let o be s(2). Give o*f(g) + 3*x(g).\nAnswer: 13*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 68\/85 + ((-126)\/(-30))\/1. Solve x = 4*h + 7, -v*x - h - 16 + 9 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -22 != -5.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 226 and 6040.\nAnswer: 682520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 11 - 39 = 0. Let g = u + -8. Let n(k) = -23*k**2 - 2*k + 1. Let t be n(g). What is t rounded to the nearest 10?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60671869 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(60\/(-185)) + 3\/9. Let w be (-5*(-4)\/12)\/((-10)\/n). Suppose 0 = t - 5*t - w*f + 250, 0 = -t - 5*f + 49. Is 16 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*b = 114 + 316. Let y be -1*(0 - (3 - 6)). Let j be -10 + b\/5 + y. Which is greater: -53\/5 or j?\nAnswer: -53\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -4 and 116565793669624?\nAnswer: 116565793669628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14650 and 11134?\nAnswer: 586","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 4*x)*(-x + 5 - 5)*(x + x + 2*x + 3).\nAnswer: 4*x**3 + 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5564 - 5563. Let u be (1 + 0)*(-6)\/42. What is the closest to k in -21, u, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12671286 to the power of 1\/2, to the nearest integer?\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 11 - 19 = 0. Calculate the greatest common divisor of r and 846.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m - 25. Let o(v) = -v + 1. Let a(j) = -l(j) - 2*o(j). Let c be a(-10). Let r be 21\/(-49) + 81\/c. Do r and -12 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5854 (base 16) to base 6\nAnswer: 252404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.40044 hours to nanoseconds.\nAnswer: 1441584000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t + 12 = 2*t. Let n = -9 - t. Let l(s) = -s**3 - 6*s**2 - s - 4. Is l(n) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(-36)*(-540)\/126.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 5*j + 4*j)*(-2 + 1 + 8)*(4*j - 2 + 2).\nAnswer: 224*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a millennium in years?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -53.493 times -0.05?\nAnswer: 2.67465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 3 (b) -561 (c) -27\/229 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen quarters of a meter in millimeters?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + 27 + -72 + 8 + 0?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**2 + 36*r - 2178. Give s(32).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 1740*p - 1637. Is s(20) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -14*c**2 - 3*c + 17. Let b(y) = -5*y**2 - y + 6. Let o(k) = -11*b(k) + 4*n(k). Let r be o(0). Solve -g + 5*g + 3*u = -23, 29 = -r*g - 5*u for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117*2\nAnswer: -234","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**3 + 7*c**2 + 11*c + 6. Let i = -175 - -171. Let y be k(i). Calculate the greatest common factor of 95 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of 281*m**7\/7 + 365*m**3\/3 + 82. What is the third derivative of h(d) wrt d?\nAnswer: 33720*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 7233?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -66 - -100. Let x = z + -39. Let u = -1 + 0.6. What is the second biggest value in x, 2\/13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 171352550 to the nearest ten thousand.\nAnswer: 171350000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1 - -3 - -197) + -29 + 24. Calculate the common denominator of g\/(-24) + 730\/292 and (1 - (-42)\/(-44))*-3.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9766? (a) 1 (b) -4 (c) -0.1 (d) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 134143*b**4 + 38*b + 1960.\nAnswer: 1609716*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2 - 786068?\nAnswer: -786066","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2.36 - -0.36. Which is the second biggest value? (a) 4 (b) -0.2 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -62.5 and -1.\nAnswer: -63.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p - 9. Let u = 29 + -20. Let q be c(u). Suppose 4*x - 5*b - 12 = q, 2*x - 5*b = -0*x + 6. Solve l = -1, -x*l + 19 = 4*o - 2*l for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, v: 14, g: 2}. What is prob of sequence vvn?\nAnswer: 91\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 142315 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -40907142.3 rounded to the nearest ten thousand?\nAnswer: -40910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-2)\/4*0 + 0 - (-38771 - -131)?\nAnswer: 2, 3, 5, 7, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vndvnbvvbvbvn.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, y: 5, i: 2, q: 2}. What is prob of picking 2 m and 2 q?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/(-14))\/((-1755)\/28665).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (146\/10 - 12)*5. Solve -x = -4*i - 9, 0 = 3*j + 3*i for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6833*o + 1141*o + 1140*o + 1148*o + 1098*o + 1161*o + 1143*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4 - -6. Suppose 0 = -2*a + 4*v - 0*v - 6, -3*a + q*v = -3. Suppose a*f + 5 = 65. Calculate the greatest common factor of 220 and f.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 251110 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*g - 6*g - 64. Let o(t) = 2*t**3 - 9*t**2 - 2*t - 9. Let l be o(5). Is l at most as big as g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -2*y**2 - 20*y + 23. Suppose 16*s - 55 = 21*s. Let z be o(s). What is the greatest common divisor of z and 31?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 702 by -11.\nAnswer: -702\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 PM and 1:20 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.8 + -0.8. Let i(o) = o - 1. Let n be i(7). Suppose 0*g + 3*g = n. What is the biggest value in -2, g, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**3 + 3*c**2 + 17*c + 11. Let d be h(6). Suppose 92 = d*p + 18*p. Suppose 0 = -3*o + 15 - 0. Solve w = -p + o for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52 is divided by 21.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 (base 3) in base 8?\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 176947972 a multiple of 260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 97, -99393.\nAnswer: -99393, -5, 97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10.1 - 43.9. Let s = -69 - n. Is 0.2 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (6*(sqrt(102) - -2*((-3*sqrt(102) - sqrt(102)) + sqrt(102)) - sqrt(102)))\/((-1*sqrt(432))\/sqrt(8)).\nAnswer: -1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 15, 3, -18, 1, -1 in ascending order.\nAnswer: -18, -1, 1, 3, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-348)*6*6\/(-9)*6.\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02342 to two dps.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 15904 (base 12) to base 4\nAnswer: 13133110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*p**3 + 4*p**3 - 28*p**3 + 5*p**3 - 22*p**3.\nAnswer: -31*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 minutes before 12:42 AM?\nAnswer: 10:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 447*z**3 + 148 - 148 - 66*z**2.\nAnswer: 447*z**3 - 66*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**3 - z**2 - 5*z + 7. Let d be (-9)\/(-3) + (0 - 3) + 2. Let m = 14 - 13. Calculate the remainder when m is divided by w(d).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-1)\/4 + (-2896)\/(-64) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) be the first derivative of 64\/3*n**3 + 3 + 4\/5*n**5 - 8*n**4 + 0*n**2 + 0*n. Factor y(q).\nAnswer: 4*q**2*(q - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24343914 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1450.9995779 + 1451. What is w rounded to 5 decimal places?\nAnswer: 0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -92 in 0.5, -0.1, 0.4, 5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -4 + 4. Suppose -15 = -0*r - 5*r, g = b - 2*r - 1. Is 2 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.467379 to 2 dps.\nAnswer: -9.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000000244 to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3123808.\nAnswer: 2, 31, 47, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 72?\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -74636 times -0.057?\nAnswer: 4254.252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1983 - 9*b**2 + 1983 - 4*b + (b**2 - 1 + 1)*(-1 - 1 + 1) to r + g*b**2 + p*b and give g.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -0.3 (b) -1 (c) -2\/5 (d) -9\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -11 - -27 - (0 + 5) - 5. Solve j*d + 16 = 2*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*i - 42*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 3*w**2 + w + 1. Let k be s(-1). Let p(q) = 2*q**2 + 3*q - 2. Let o be p(-2). Sort k, o, 4.\nAnswer: o, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -105*q + 102*q + 348. What is the remainder when q is divided by 36?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**3 + 395*i**2 - 3050*i - 3440.\nAnswer: 5*(i - 8)*(i + 1)*(i + 86)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (75\/33)\/(96\/(-1056))?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -55, -258, -5?\nAnswer: -258","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1067 + 184 = -208*q + 3277 for q.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1753 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-60))\/(16\/(-10)).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/14 + 7 - (-7)\/84*-6\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 201*p**4 - 6 - 210*p**4 + 4 - 2*p + (2*p**4 + p**4 - 5*p**4)*(0 + 1 + 0).\nAnswer: -11*p**4 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 PM and 5:21 AM?\nAnswer: 688","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 854.0618kg to micrograms.\nAnswer: 854061800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 23*z**2 - 423*z**5 - 34 + 80*z**5 + 45 wrt z.\nAnswer: -20580*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 + d - d + (-6*d + 0*d - 22*d)*(-d + 3*d - 4*d) - 4*d - d**2 + 4*d + 2*d**2 - 5*d**2 + d**2 in the form x*d**2 + k + v*d and give x.\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z - 6*z = -360. Let k = z - -107. Suppose -k - 49 = -7*f. Solve -2*m - f = 2*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1272\/7 - 182. Let n be (-17 - -14) + 75\/26. Let b = 2\/39 - n. What is the nearest to y in 1, -2\/13, b?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6501 - 3703. Solve -o - g = -2805 for o.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-a + 2*a**2 + a)*(1230*a**3 - 22706*a**3 - 6095*a**3 - 15903*a**3).\nAnswer: -86948*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 66\/(-13)*(-25064)\/86760. Solve -z*x**2 + 0 + 12\/5*x + 2\/15*x**3 = 0 for x.\nAnswer: 0, 2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -5*n + 11. Calculate the remainder when q(-6) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 0*k - 8. Find the second derivative of -k*o - o**5 + 2*o**5 - 2*o + o wrt o.\nAnswer: 20*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 38 - 35. Suppose o - 19 + 1 = -r*x, -o + 5*x = 22. Suppose -2*b = o*i - 114, 40 = b + 5*i - 10. Does 10 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 541, 922, 1301?\nAnswer: 1678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -304*g**3 + 5*g**2 + 273*g**3 + 3*g**2 - 8*g**2.\nAnswer: -31*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 0, 5, 2\/7, -4, 35.707?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001571271 to 6 dps.\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + -16. Let n = -11 + i. Let m = -4 + n. Solve p + 2 + 4 = 2*v, m*p + 7 = 3*v for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1397 is divided by 25.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = d - 7. Let h(i) = -6*i - 5. Let u be h(-2). Let l = d + u. Solve -m = l*m - 8 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5\/12 - -3\/4. Let h(b) = -b**2 - 2*b - 1. Let l be h(-1). What is the second biggest value in -1\/4, g, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 1576*p + 36 - 1585*p + 4. Let c be t(4). Solve -3*f + 2*v = -0*v - 4, 3*v = -c*f - 6 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -a96 (base 14) in base 13?\nAnswer: -c4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -472 - -337. Let c be ((-18)\/q)\/(2\/10). Factor 2\/3*w**5 + 4\/3*w**2 - c*w + 0 + 0*w**3 - 4\/3*w**4.\nAnswer: 2*w*(w - 1)**3*(w + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -60 + -9?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.32592 less than -0.03?\nAnswer: 0.29592","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 81020 and 17524626?\nAnswer: 175246260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -18.02 - -18. Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -623*d**2 + 47987*d - 1225. Calculate r(77).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, 6, -11359, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 114*(-28)\/1344*24 - -5\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of -k**4\/12 - 5*k**3\/6 + 567*k. Calculate j(3).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + f - 191 = 0, 2 = -2*f + 4. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -3*t - 10. Let z(m) = 2*m**2 + 21*m + 21. Let q be z(-9). Let b be y(q). Let k be (6\/b)\/((-2)\/(-8)). Solve 10 = k*x + 1 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:41 PM and 9:06 PM?\nAnswer: 145","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1550563*s + 175 = 1550573*s + 975 for s.\nAnswer: -80","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5103\/72 + (-1)\/(-8). Suppose q + q - b = -3*t, 5*t - 117 = -3*q. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -27, -98, -231, -426, -683?\nAnswer: -1002","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -71 or -70?\nAnswer: -71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -4*u + 70267, -5*j = 3 - 18. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -481 and 111.1.\nAnswer: -53439.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 243595395?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 405, 2184, 5569, 10554, 17133, 25300, 35049?\nAnswer: 46374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 703*s - 4*s**2 + 701*s - 1404*s + 3*s**2.\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -436, -1\/3, 41 in decreasing order.\nAnswer: 41, 0.4, -1\/3, -436","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 20037.525 months?\nAnswer: 166.979375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6914*a + 3595*a - 170374 = 54*a + 6649*a for a.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*x - 8 = -2*o - 7*x, -1 = 3*o - 5*x for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 35267 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*j + 5. Solve y = -j*k - 14, y + k = -0*y - 2 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 + 105 = 4*c + 3*u, -4*u = 5*c - 92. What is the remainder when 99 is divided by c?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*o = 55 - 118 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -40*s - 1. Let n = -25 - -24. Is a(n) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(29 + 61) + (-55)\/50*-22\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -5 - (4 - (-4 - -13))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*g**6*r**3 - 7*g**6*r + 3*g**2*r + 9*r**3 - 2 wrt g?\nAnswer: 240*g**3*r**3 - 840*g**3*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1447, 1605, 1831, 2161, 2631, 3277, 4135, 5241?\nAnswer: 6631","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -30.2 + 14.2. Let r = -60 - -241\/4. Is r bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 237*o**3 + 88*o**2 + o.\nAnswer: 1422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 4*(2 + 0 + sqrt(75))))**2.\nAnswer: 360*sqrt(3) + 1281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3332 (base 8) to base 4.\nAnswer: 123122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 691*k - 5669 - 22990 = -3893 + 15312 for k.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -16 (b) -6 (c) -3 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.07 - 0.09. Let t = -0.04 + g. Let q = -0.1 - t. Which is the biggest value? (a) 1\/2 (b) 3 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/((-4 + 3)\/(1*-77))?\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -61\/12540 and -71\/6270.\nAnswer: 12540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25, 58, 91, 124, 157, 190?\nAnswer: 223","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 43 = v, 11*h - 4*v + 10 = 13*h. Solve 5*w = -u + 19, 13*u = 8*u + 2*w - h for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58700 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -4869772877 - -95395?\nAnswer: -4869677482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -z - 8*z - 9*i = -4*z + 20*i + 110, -2*z - 4*i = 6 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45) + 0 - (2*sqrt(5) + 3)) + -3.\nAnswer: -6 + sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from soytttytnyyintyt. Give prob of picking 1 s and 1 t.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(104) + sqrt(104) - sqrt(104) - sqrt(104) - sqrt(104))*-5*-1)\/(sqrt(32)\/sqrt(1764)).\nAnswer: -420*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.803549 millennia in years?\nAnswer: 2803.549","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5487a5 (base 12) to base 14.\nAnswer: 26d137","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**2 + 4*v + 3. Let u be n(-2). Let f be (-20)\/u*(-40)\/100. Does 13 divide 5\/(-20) - (1 + 322\/f)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111110011101011 (base 2) to base 5.\nAnswer: -4032442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -11 - 11 + 19 - j. Determine q(-10).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*r - 7 + 31. Suppose -7*l + 4 = -3*l. Put r, -3, l in decreasing order.\nAnswer: r, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -22, -48, -74, -100, -126, -152?\n\"Answer: -26*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k = -2*q + 36, -3*k - 508*q + 20 = -507*q for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2) - 2)*(-56 + 58). Is ((-579180)\/7)\/(-6) + (-4 - g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = -7*w + 2*v + 136, 193 = 4*w - 5*v. Find the common denominator of -77\/16 and 6\/12 + 136\/w.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 38*p**2 + 23*p + 119. Suppose -g - 150 = 4*y, -2*y = g + 4*g + 84. Does 20 divide t(y)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.4448 rounded to one dp?\nAnswer: 51.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (25 - 16) + (-16 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.03 (b) 3 (c) -0.78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 2*y + 2 - 3*y + 0*y + 4*y + (-4 + 4 + 2*y)*(2 - 1 + 1) + 2*y + 2 - 2 - 1 + y + 1 + 4 - 4 + 2*y)*(y + 3*y + 2*y).\nAnswer: 48*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -10463215, -10463208, -10463201, -10463194, -10463187?\n\"Answer: 7*s - 10463222","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**3 + 22*h**2 + 119*h + 5. What is a(-12)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 23 (base 5) in base 3?\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in one tenth of a second?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*j + 2*j + 6*j**2 - 3*j**2.\nAnswer: 3*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 9 - 12 = 0. Does 5 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, u: 2, p: 2, x: 3, s: 1, j: 1}. What is prob of picking 1 u and 1 w?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -2*v**2 - 111 + 3*v**2 + 0*v**3 + 6*v**3 + 2*v - 110 + 224. What is z(-2)?\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*a + 2 + 13. Let b = -5 - a. What is the closest to b in 2\/11, -3, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -3 + 27\/3 + -3. Suppose 4*q = 3*b - 4, 0*q = -s*b - 4*q + 20. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 276 is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 + -30. Let h = 45 + k. Let y = h - 26. Solve 5*v = 5*l - 10, 3*l - 10 = 2*v + y*v for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 11, -8, 34, 1, -9, 4 in ascending order.\nAnswer: -9, -8, 1, 4, 11, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 168 and 2226.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = 3*l - 1. What is the units digit of i(5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 2*d + 16. Which is the third biggest value? (a) -5 (b) d (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 7 or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**3 + 57*z**2 - 258*z - 75. Determine d(52).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 0*m - r = -153, r - 75 = -2*m. Let d = m + 40. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1\/(-3) + (100\/24)\/5. Let m(l) be the first derivative of 4 + 0*l + t*l**2. What is m(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 - 43*m + 4*m**2 + 8 - 12*m - 65*m.\nAnswer: 4*m**2 - 120*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 - 1121112002?\nAnswer: -1121112001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r = 5*d - 6*d + 541, 5*r = -3*d + 895. Let y = r + -162. What is the highest common factor of y and 160?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 2*u**5 + 5*u**4\/12 + 9*u + 7. Let b(v) be the first derivative of z(v). What is the third derivative of b(g) wrt g?\nAnswer: 240","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-29)\/x)\/(x**(-14)*x)*((x\/x**(2\/5))\/x)\/((x*x**(-27))\/x) assuming x is positive.\nAnswer: x**(48\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 - 56\/6*(-87)\/116.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 139228646 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-2)\/(-9))\/2 - 20790\/(-42768)\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13742\/163 less than or equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1202 is divided by 565.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*p - p**2 + 3*p**2 - 27*p - 4*p**2.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 927, 2\/19, -3, -2.46 in descending order.\nAnswer: 927, 2\/19, -2.46, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.30123608 - -0.411?\nAnswer: -2.89023608","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 5 - 7 = 0. Let z = 13 + -6. Suppose -5*a = -2*d - 2 + 1, -7 = -3*d - a. Solve 5*y + 14 = d*t + t, -2*y - w*t + z = 0 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 28, 55, 84, 115, 148, 183, 220?\n\"Answer: m**2 + 24*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2060837451 to the power of 1\/3, to the nearest integer?\nAnswer: 1273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 2 s when three letters picked without replacement from scsrrc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 5184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.1 and 302.197183?\nAnswer: 30.2197183","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)*1)\/sqrt(3) + (sqrt(440)*2 - sqrt(440))\/sqrt(11))\/((-1*sqrt(512)*-1 + sqrt(512) - sqrt(512)) + sqrt(512)).\nAnswer: sqrt(5)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 360061319 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**4 - 13500*p**3 + 8850585*p**2 + 356090590*p.\nAnswer: 5*p*(p - 1369)**2*(p + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -489*q - 555. Let b(u) = 326*u + 370. Let c(w) = 7*b(w) + 5*g(w). Differentiate c(f) wrt f.\nAnswer: -163","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 244*b - 251*b - 42 = 0 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.2? (a) -2\/5 (b) 10\/9 (c) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 83 = 5*s, 5*s = 3*y + 2*y + 95. Let t = 5 - 37. Let k be t\/(-10)*s\/6. Solve -2*n + 8 = -g, 3*g - k*g = 3*n - 12 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 26313\/140 + 7\/140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f**3\/3 + 29*f**2 - 454*f\/3 + 184 = 0. What is f?\nAnswer: -92, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4 - 4 + 2*i + (2*i - 1 + 1)*(38 + 4 + 16).\nAnswer: 118*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**2)**(22\/7)*s*s\/(s\/(s**(-9)\/s))*(s\/(s\/(s\/((s**10*s)\/s))))\/s)**(13\/6) assuming s is positive.\nAnswer: s**(-1157\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 + 1 + 3)*(-2*n**3 + 0*n**3 + 4*n**3) + 10*n**3 + 8*n**3 - 11*n**3)*(-n - n - n).\nAnswer: -33*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -40\/33 at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2923 + -1.2923. Which is bigger: -975 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 0*z + 6. Suppose 2*x - z = 2. Suppose x*j = o + o - 18, 0 = -5*o - 2*j + 69. What is the remainder when 49 is divided by o?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1808?\nAnswer: 2, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -653601, -653605, -653613, -653625, -653641, -653661?\n\"Answer: -2*x**2 + 2*x - 653601","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -117396*f**4 - f**3 + 66564*f**2 + 1 wrt f.\nAnswer: -2817504*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 4*o + 18 = 0, 22*o - 12 = -2*q + 23*o for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(3\/2))\/q**(2\/7)*(q\/q**3)\/(q\/(q*q\/q**(-2))))\/((q*q**(-1)\/q*q)**(-13)\/(q\/(q\/(((q*q**(-5)*q)\/q)\/q))*q**0)) assuming q is positive.\nAnswer: q**(-25\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence krr when three letters picked without replacement from {r: 2, t: 1, k: 1}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.427 + 19543301964.5?\nAnswer: 19543301964.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18384, 37526, 56668, 75810, 94952?\nAnswer: 114094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2330806357 to the power of 1\/8, to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b\/b**9*b*b)\/(b\/(b\/b**(-1\/3))))\/((b\/(((b\/(b*(b**6\/b)\/b))\/b)\/b))\/(b*b**8)))**(-22\/7))**(15\/4) assuming b is positive.\nAnswer: b**(605\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -f - 3*u + 3, f + 4*u = -12. Suppose -3*t + 2 + 4 = 0. Solve 0 = -t*m - f*k + 14, 2*m - 17 = -m - 4*k for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 285363298?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2209 is divided by 2201.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*p + 8130 = -193*p - 260*p for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 96293 is divided by 96275?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-1)\/(6\/(-39)))\/((-1)\/(-2)). Let k(w) = -w**2 - 11*w - 2. Let c be k(-10). Let f = c + 5. What is the greatest common divisor of f and i?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4 and 292?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2469589362?\nAnswer: 2, 3, 383, 358223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r**3 - 16*r**2 - 14*r + 22. Let v be m(-15). Let w(u) = -17*u + 3*u + v*u - 13 + u**3 + 6*u**2. Is 18 a factor of w(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -12 or 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 336779*j**3 + 38*j**2 + 118246754 wrt j.\nAnswer: 1010337*j**2 + 76*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**(6\/5)\/u))\/(u\/(u**(2\/11)*u)*u)*(u*u**(-4\/9))\/(u**14*u) assuming u is positive.\nAnswer: u**(-7159\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*h + 4*h - 4*h + 26 + 4*h - 21.\nAnswer: 2*h + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3781 or 187?\nAnswer: 187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*g - 115 = -17*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 447 - 369. Which is smaller: i or 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 491155158?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d + 190 = 13*d. Let n be 56\/1 - (-10 + 9). Calculate the greatest common factor of n and d.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 913 divided by -11.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 24\/11, -3\/2, -1\/9, 1.\nAnswer: -3\/2, -1\/9, 1, 24\/11, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 + -18. Let i = 10 + a. Let j(c) = -c**3 - c**2. Let u be j(i). Is -0.1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 12 + (-3 + 1 + -1 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 290*a**2\/3 - 13072*a\/3 - 80864.\nAnswer: -(a - 228)*(a - 76)*(a + 14)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q = -8, -28*r + 29*r + 4*q = -5 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 234154842 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 4*k - 106 = 0, 5*v - 19 - 246 = 2*k. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 4, u: 1, i: 3}. What is prob of sequence nnun?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 614834443 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 48 minutes after 5:21 PM?\nAnswer: 6:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(200) - -5*(1 + sqrt(200) + sqrt(200))**2)*3 + (sqrt(200)*1 + 0)**2 + 4 + 5 + 0.\nAnswer: 630*sqrt(2) + 12224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:37 AM and 1:37 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4172 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 2*f**2 + 71*f + 1. Let y(g) = g. Determine y(j(o)).\nAnswer: 2*o**2 + 71*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -90.42762 to the nearest 10.\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2.12 + 4. Let q = -6.3 + a. Let b = q + 0.18000156. What is b rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11180 and 780.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1584)*2 - (1 + sqrt(1584))*-4 - (sqrt(1584) + (-1 + sqrt(1584))*4 - sqrt(1584)*2*-1))**2.\nAnswer: 192*sqrt(11) + 1648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-5)\/(-3))\/((-30)\/(-36)). Suppose -y*x + 6*x + 44 = 0. Let z = x - -18. Calculate the remainder when 20 is divided by z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1633196, 1633262, 1633328, 1633394?\nAnswer: 1633460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3209, -6188, -9167, -12146, -15125, -18104?\nAnswer: -21083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: -6 + -24 - (6 - 15) - ((16 - 3) + -8)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - 76*v**2 + 1129*v + 64. What are the prime factors of z(-89)?\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + 3 + 4 + 3 + -56 + 7.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 1\/20 of a minute?\nAnswer: 3000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uwvbugbv. What is prob of sequence bvvb?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 7*x**2 + 4 - 2 + 4 - 1 + x. Is z(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*m - 1825 = -1997. Which is the third biggest value? (a) 26 (b) m (c) -2\/3 (d) 2\/27 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -23*n + 354. Let j be c(15). Sort j, -2, 5 in ascending order.\nAnswer: -2, 5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -t**2 + t + 1. Suppose -9*g + 0*g = -18. Let o(s) = -66*s**2 + 75*s - 2. Let y(h) = g*m(h) + o(h). What is the second derivative of y(d) wrt d?\nAnswer: -136","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -2)\/3*15. Suppose 4*t - 4*w - w = -579, l*w - 15 = 0. Let m be t\/(-12) + (-3)\/(-12). What is the highest common factor of 4 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1884.77624 - -0.02376. What is i rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-11)\/44)\/((-1)\/24)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 8 = -2*j, -r = -5*r + 3*j + 12 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y + y - 2*y)*(-2*y - 3*y - y).\nAnswer: 12*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -29 + 39. Let c(n) = -z*n + 8*n - 8 + 18. Calculate c(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 311381.\nAnswer: 7, 44483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3335335 (base 6) to base 8.\nAnswer: -510713","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 4, 5 in increasing order.\nAnswer: -4, -2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 53261520 a multiple of 1560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r = -h - 6, -3*h - 19248 = 5*r - 19223 for h.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k - 2845 - 1026 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*d + 6 - 11 - 5*d - 6 + 4 to the form z + y*d and give z.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -34*l**5\/9 + 11420*l**4\/9 + 59314*l**3\/9 + 6820*l**2\/9 = 0. Calculate l.\nAnswer: -5, -2\/17, 0, 341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1301 - 1292 = -3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 8) to base 16.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 + -18. Let k(g) = 8*g + 5. Let o be k(b). Suppose -2*c - 3*c - 140 = -o*y, -3*y + 72 = c. Which is greater: 27 or y?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3580*n + 5*v = 1789*n + 1785*n + 49, 4*n = -2*v + 26 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36668 divided by -244\nAnswer: -9167\/61","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b57a0 + 2?\nAnswer: 2b57a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3569334.\nAnswer: 2, 3, 594889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 916, 918, 920, 922, 924?\n\"Answer: 2*l + 914","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 1 + 0)*(-684 + 180 + 84 + 127 - 26*a**4).\nAnswer: -52*a**4 - 586","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 446 + -443. Let q(k) = 5*k**4 + 5*k**3 - 31*k**2 + 25*k + 2. Let j(l) = -7*l**4 - 5*l**3 + 30*l**2 - 24*l - 3. Let u(g) = p*q(g) + 2*j(g). Factor u(d).\nAnswer: d*(d - 3)*(d - 1)*(d + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0003486 to four dps.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 107 is divided by 23?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**2 - 4*c**2 + 5*c**2 + (c**2 - 4*c**2 + c**2)*(-3 + 0 - 3) - 2353 + 162*c**2 + 2353.\nAnswer: 176*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p**3 - 392*p**2 - 9200*p + 20000 = 0 for p.\nAnswer: -50, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -2513*d**6\/40 + 11213*d**4\/24 - 3673*d**2. What is the second derivative of q(p) wrt p?\nAnswer: -45234*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + -28 - (-1 - 0 - (10 + 3)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*d*r**2 + 92463*d*r + 185273*d + 3*r**2 wrt r.\nAnswer: -4*d*r + 92463*d + 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 0*n - 180 = 0. Suppose -5*t - 55 = 5*u, -2*t + 6*t + 35 = -u. Let s = 32 + t. What is the highest common divisor of n and s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -5 (b) 2\/15 (c) 1 (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2332 or -2314?\nAnswer: -2314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1356\/11 + -6607\/66. Let x be (1 - -1)*9508\/8. Let j = x - 9429\/4. Find the common denominator of m and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -393 - -420. Let j be (5 + (-1 - 6))\/((-2)\/r). Calculate the highest common factor of 18 and j.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -19257*f**3 - 350*f - 350. Let l(r) = -332*r**3 - 6*r - 6. What is -6*c(x) + 350*l(x)?\nAnswer: -658*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13 + (2 - (0 - 0) - (-2439 + 2441))\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4361 + 4373. Let d(q) = q**3 - 12*q**2 + 2*q - 2. Determine d(x).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = k**3 + 6*k**2 + 2. Give u(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(147))\/sqrt(7))\/(sqrt(450)\/sqrt(6)).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 302*i - 294*i + 32 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 428475 a multiple of 87?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 15 = 25. Let g be (80\/25)\/((-2)\/z). Is (4\/2)\/(g\/28) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.052? (a) 4 (b) 3 (c) -203\/67\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4*5\/(-75)*(345\/54)\/(-23)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 4*a**3 - a**2 + a - 1. Let q be i(1). Let f = -6 + q. Let v be f - ((-12)\/4 + -390000). Round v to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 877.5439ml?\nAnswer: 0.8775439","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) be the first derivative of 0*k**2 - 17*k + 1 + 0*k**3 + 11\/2*k**4. What is the derivative of w(n) wrt n?\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000482573 to seven dps.\nAnswer: -0.0000048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 2:17 PM?\nAnswer: 12:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 105\/20 - (-29)\/(-116). Let b = 7\/12 + -1\/4. What is the closest to 0 in b, 0, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.9571 + -0.95721022. What is a rounded to 6 decimal places?\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1000 (base 2) to base 4\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -9*a + 99. Determine q(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -240436*-79.\nAnswer: 18994444","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Solve 10335 = 224643*i - 225020*i - 7761 for i.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 6 (b) -2 (c) -0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -406, -2, 19, 0.1, -0.08 in descending order.\nAnswer: 19, 6, 0.1, -0.08, -2, -406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -0.05, 13 in decreasing order.\nAnswer: 13, -0.05, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 161 - 159. Suppose -3*p + 999 = 5*z, -6*z = -i*p - 7*z + 666. What are the prime factors of p?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wa when two letters picked without replacement from naawnnyasasas?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 23, -16, -95, -220, -397, -632?\nAnswer: -931","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express y + y - 5*y + (-4 - 1 - 3)*(0*y - y + 3*y) as p*y + u and give p.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence snrr when four letters picked without replacement from knrnkkrrkskknsk.\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31160 and 6745?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - -1) + (-12 + 11 - (-2 - -2)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*j - 15265 = 356*j - 2805 for j.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 0, w = -3*w + 2*q - 3676000. What is w rounded to the nearest 100000?\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 250, 245, 228, 193, 134, 45, -80, -247?\nAnswer: -462","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -121 + 118. Let s be (z - 24\/(-6))*(6 + -2). Which is the smallest value? (a) 3 (b) -2 (c) 0.2 (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 6562, 26247, 59056, 104989, 164046, 236227, 321532?\n\"Answer: 6562*b**2 - b + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (0\/30)\/(-1*(-6)\/(-3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9 + 25*b**3 - 51*b**3 + 23*b**3 - 2*b - b**2 - 5 in the form j + y*b**3 + v*b + r*b**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + c = 107, -2*q - 53 = -4*q + 3*c. What is the remainder when q is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 69\/(-322)*56\/96?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 5 - 40*f + 2 - 13*f + 4.\nAnswer: -53*f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/135 and 28\/165.\nAnswer: 1485","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(14\/9)*q)**0\/(q\/(q\/((q\/(q**(-2\/55)*q*q)*q)\/q))*q*q**(5\/11)))**12 assuming q is positive.\nAnswer: q**(-324\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.40306218 to four decimal places.\nAnswer: -0.4031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*n - 5*l, -2*n - 2*l = 2*n - 22. Suppose 0 = -3*b - 3*z + z + 52, -n*b + 4*z = -56. Calculate the highest common factor of 160 and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16971 is divided by 5647?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 2.38, -3 in decreasing order.\nAnswer: 2.38, -2\/5, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -j + 3*w, w - 54 - 28 = 2*j. Let v = 16 - 14. Calculate the common denominator of (-6)\/33*j\/v and 19\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.205, 1\/3, -0.5, -308\/25, 0.2 in descending order.\nAnswer: 1\/3, 0.205, 0.2, -0.5, -308\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 0.1 (c) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = h**2 - 2*h + 9. Let s be n(4). Solve 0*z + s = 2*x - 5*z, -x - z - 9 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4701 divided by 3988\nAnswer: -4701\/3988","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: (405\/30 - 13)*(-4)\/(-11)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 100010 (base 2) to base 10\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9258, -18280, -27302, -36324?\nAnswer: -45346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v - 114. Let z(t) = -t + 2. Let a(i) = -g(i) + 5*z(i). Let x be a(30). Suppose 5*h - 5*j = 6 + 29, 3*h + 3*j - 9 = 0. Solve 3*b = x*b + h for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -188.5 - -407. Let x = q - 218. Which is the nearest to 1\/5? (a) -1 (b) x (c) -0.5 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hns when three letters picked without replacement from {p: 2, s: 6, o: 2, h: 1, j: 3, n: 1}?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, p: 17}. Give prob of picking 2 p.\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 15 - -311035?\nAnswer: 311053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 230378 divided by -6?\nAnswer: -115189\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 5*-3*(-8)\/15. Suppose -11 = -w*j - 3. Solve 2*z - j = -4*d - 5, -3*d - z - 2 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3009 (base 16) to base 10.\nAnswer: -12297","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**3\/5 - 38*y**2\/5 - 252*y\/5 + 288\/5 = 0.\nAnswer: -6, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 10911 divide 1291878934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96*n = -93*n + 18, 3*b - 1878 = 3*n. What is the smallest common multiple of b and 992?\nAnswer: 4960","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - p + 1 = -9, 3*p = -4*h + 8. Find the third derivative of 0 + 0 + h*j**2 + 5*j**4 + 6*j**2 wrt j.\nAnswer: 120*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1608?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3618729929 and -32?\nAnswer: 3618729897","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-16)\/(-20))\/(1\/(-5)). Let y be ((-18)\/(-12))\/((-2)\/l). Solve 0*g = g + y for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = o - 17, 2*p = -o + 4 + 4. Solve -o*y + 3 = -5 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(192*(494\/(-57) - -9))?\nAnswer: 1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 12\/78 - (-8845)\/(-6708). Let x = k + -1\/516. Which is greater: x or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -194\/308997?\nAnswer: -194\/308997","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 560131 and 132561.\nAnswer: 519241437","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 31*k. Let j be y(2). Let v = j - 13. Let z = v - 33. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) be the first derivative of -g**4\/4 - 10*g**3\/3 - 17*g**2\/2 + 12*g + 241. Determine d(-8).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -4*c - 140. Are -37 and c non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1481 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -y**8\/3360 + y**7\/1260 - y**4\/3 + 2*y. Let j(b) be the third derivative of z(b). Let j(g) = 0. Calculate g.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 9*f. Let c(r) = -5835*r**2. Determine c(s(w)).\nAnswer: -472635*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5 - (5 - -5)) + -4 + 3?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/11 (b) 8 (c) -2 (d) 2 (e) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9808*r**3 - 39*r - 9808*r**3 + r**5 + (r + r**2 - r)*(10*r**3 - 4*r + 4*r) + r**5 + 0*r + 0*r.\nAnswer: 12*r**5 - 39*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.95338 minutes in hours?\nAnswer: 0.299223","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8542 by 63082.\nAnswer: -4271\/31541","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22382\/1083*(-3)\/(-2)*1?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -115540 (base 7) to base 15\nAnswer: -6431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*s = -4*o + 9, 0 = 2*o + 4*s. Suppose o*p + 11 = 29. Is (89\/3)\/(p\/27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-15920)\/(-12) + 1 + (-8)\/12 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in seven eighths of a micrometer?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 470 and 3083200.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4, -20, 2.4, -9?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1133 (base 7) in base 8?\nAnswer: -640","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -2*h**3 + 9*h**2 - 7*h + 2. Let w be k(6). Let i = w - -272. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/15 smaller than -65330?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 3*s - 14. Let i = -2 + 8. Let r be f(i). What is the derivative of -2*l**2 + 2*l**2 - 2 - 3 + l**r wrt l?\nAnswer: 4*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 493*j - 485*j - 4*d = 40, 4*j + 5*d = -50 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1219*y - 3*y**2 + 1087*y + 3 - 2*y**2.\nAnswer: -5*y**2 - 132*y + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 269564 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: Work out -0.19 - -256.\nAnswer: 255.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3158789.\nAnswer: 613, 5153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes after 1:27 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*i**2 - 323 - 320 + 641)*(-5*i + 5*i + 11*i**3).\nAnswer: -44*i**5 - 22*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9439681 or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 2367 a factor of 1994043645?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15460*s**5 + 5*s**3 - 2*s**2 - 4*s + 4681 wrt s?\nAnswer: 927600*s**2 + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 327955592 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 -2\/3? (a) 0.022 (b) 3 (c) 4 (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 706272616 to the power of 1\/4, to the nearest integer?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - q + 0*q + (-2 - 1 + 1)*(q - 4*q + q) - 11 + 11 - 8*q + (-5*q - q - q)*(-1 - 4 + 7 + (-9 + 5 - 5)*(0 - 1 - 4)) to the form b*q + p and give b.\nAnswer: -335","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431043 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 44748\/(-1017)*2\/8.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 29 - 14869a3?\nAnswer: -1486977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -9 + (18 - 16) + 6. Sort 279, 2, i, 5, -4 in descending order.\nAnswer: 279, 5, 2, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = x**3 - 6*x**2 + 4*x + 10. Let y be p(5). Let l(z) = -z**3 + 8*z**2 + 4. What are the prime factors of l(y)?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 4*m = 3*n - 11, -4*n = 3*m + 3. Let f = -247 - -249. Let l(x) = 15 + 21 - 32 - f*x. Calculate l(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 924*i + 929*i - 1849*i - 7. Let w(o) = 5*o - 8. Suppose 4*p = 24 - 0. What is p*t(d) - 5*w(d)?\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 144206.\nAnswer: 2, 72103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (135 - 0)*(-81)\/(-45). Let l = -27 + b. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -993 + 992.9. What is the closest to -35 in -5, c, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 676010627 to the power of 1\/6, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -x**3 + x**2 + 2*x + 1. Let h(v) = -v**3 + 9*v**2 - 9*v + 14. Calculate the least common multiple of n(0) and h(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*q**5 - 56*q**2 + 16*q**4 + 98*q**5 + 28*q - 39*q**5 - 32*q**3 + 40 = 0. What is q?\nAnswer: -5, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmmmnnmmnm. Give prob of sequence mmmm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/42 - (36 - (-30 + 37260\/504)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -830 (base 11) in base 9?\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14493*i - 14492*i = -4*y - 32, -5*y = 9*i + 71 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 4*j + 4*j)*(0*j + 8*j - 3*j).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*o = -30*o + 21. Solve -j - o*j = -2*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(500) + 0) - sqrt(500) - sqrt(500)) + -4*sqrt(500)*2 + 4.\nAnswer: -140*sqrt(5) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81 + -89. Which is greater: b or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a2b (base 15) in base 3?\nAnswer: 10010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (32 - 49) + -68 + 4 + 7\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 322 and 806771?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/5 (b) -7\/15 (c) -1 (d) 0.2 (e) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 268, 1073, 2406, 4273, 6680?\nAnswer: 9633","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -10, 4, 172, -2 in descending order.\nAnswer: 172, 4, 1, -2, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 0)\/(-6) + (-78)\/(-5148)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*p + 33 = -75 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1086 smaller than -1087?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 22 = 3*h + 19, 5*t - 13 = -3*h for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/5 of a day in minutes?\nAnswer: 3744","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (3\/2 + -1)*0. Suppose b = 4*k - 216. Suppose -5*o + k = -1. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2561.85 rounded to the nearest ten?\nAnswer: -2560","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 133667321 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 divided by -30489?\nAnswer: -1\/30489","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1)\/(((-117)\/6)\/(-13))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, a: 5, r: 1, u: 9}. What is prob of sequence auur?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*h**2 + 157*h**2 + 207580*h - 207581*h.\nAnswer: 168*h**2 - h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 743329 is divided by 43721.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -416 + 435. Differentiate -p**2 + 5 - 2*p**2 + r*p**4 - 16*p**4 + 101 with respect to p.\nAnswer: 12*p**3 - 6*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5*y - 3*y**3 - 5*y)*(-23*y - 82 + 82 + (-3 + 0 + 1)*(y + 2*y - 4*y) - 2 + 2 - 3*y) to x + z*y**4 + w*y + o*y**2 + k*y**3 and give z.\nAnswer: 72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292, -294, -296, -298, -300, -302?\nAnswer: -304","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 2, -3, -6, 4.\nAnswer: -6, -3, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 167648?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -2 - 35?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1262521, 1262518, 1262519, 1262524, 1262533?\nAnswer: 1262546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 21*a - 417. Determine o(20).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)\/(sqrt(90)\/sqrt(9)) - ((-1*sqrt(45) - sqrt(45)) + sqrt(45))\/sqrt(9)) + 4.\nAnswer: 4 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -23*o**3\/6 - 191*o**2\/2 - 168*o + 46\/3 = 0. Calculate o.\nAnswer: -23, -2, 2\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 28*z**2 - 19*z - 1. List the prime factors of f(3).\nAnswer: 2, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/3))**(8\/5)*t*t**(-4\/9)*t*t*t**(-3\/13) assuming t is positive.\nAnswer: t**(1672\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8057 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*d - 5*j, 2*d - 5*j - 12 = -j. Calculate the greatest common divisor of d and 98.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1633 and 46?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 11194687849 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -843721*i**3 - 653514*i**3 - 690508*i**3.\nAnswer: -2187743*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -564*u + 5844*u + 38613 = -8399*u + 808*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3.5 + -0.5. Let y = 31559.9 + -31560. Put y, 0, q, -1\/4 in ascending order.\nAnswer: -1\/4, y, 0, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at least 16237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 4. Suppose 2*h = 5*h - 9. Let b(n) = 0 - h + 4. Calculate -10*b(i) - 2*u(i).\nAnswer: -2*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 331*o*r*y**2 + 5*o*r + o*y**2 + 4*o - 2*r*y**3 - 8*r - 7134*y**3 + 3*y**2 - 5 wrt r?\nAnswer: 331*o*y**2 + 5*o - 2*y**3 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 17547 - 23788. Is k at least as big as -6239?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u + 2006*i - 2004*i + 10 = 0, 13*u = -14*i + 65 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5104 and 528.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 398 - 1159*k**2 - 9*k**3 - 398 + 1159*k**2 - 25*k**3.\nAnswer: -34*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -50723 >= -50723?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r - 300. Let t(v) = 2*v**2. What is h(t(w))?\nAnswer: 2*w**2 - 300","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r + 2*r - 3*r)*(0*r**3 - r**3 + 0 + 1) - 4*r**4 - r**4 + 4*r**4.\nAnswer: -4*r**4 + 3*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 + 833*h**2\/5 - 34611*h - 173889\/5.\nAnswer: -(h - 417)**2*(h + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10*c**2*x + 80*c**2 - 209*c*x - 9*c wrt c?\nAnswer: -20*x + 160","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -16*g - 22. Let x(r) = 5*r - 6*r - 3 - 1 + 3. Let o(b) = n(b) - 2*x(b). Differentiate o(w) wrt w.\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -66861*a**2 - 27*a + 90. Let d be w(23). Round d to the nearest 1000000.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 2*y**2 - 247*y - 7824. What is a(-27)?\nAnswer: 303","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 358*f**4*l + 11*f**3*l - 579*f**3 - f**2*l + 19*f**2 + f*l - 265*f + 3*l wrt f?\nAnswer: 8592*f*l + 66*l - 3474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a millimeter in micrometers?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qdddqqdqqdqqqqqqqkqq. What is prob of sequence qk?\nAnswer: 7\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -60651315 divided by 6739035.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 66841 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = q + 3*s, -3*s = 2*s. Let u(d) = -1108*d**3 + d**2 + 2*d. What is the thousands digit of u(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 8*a = 30. Let i be a + (-4)\/(-14) + (-184)\/56. Let d(h) = -2*h**3. Let f be d(-1). What is the greatest common factor of f and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -849530 to the nearest ten thousand.\nAnswer: -850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10 (base 10) to base 6\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -211.578 - 0.922. Let b = p - -212. Sort -3, 0.3, b, -16 in descending order.\nAnswer: 0.3, b, -3, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -84*m + 23 = -81*m - 2*r, -2*m - r = -20 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 966?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 16629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*x + 55 = -77. Let y = 26 + x. Is -4 + 370 - y - 4 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.2944*1.6\nAnswer: 2.07104","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = s + 2. Let l be r(-2). Suppose 0 = -i - 2*g, 3*i - i - 3*g = l. Let u(x) = x + 6. Let t be u(-8). Sort 3, t, i, -4 in descending order.\nAnswer: 3, i, t, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 49144439?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(44)*-2) + -1.\nAnswer: -1 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 297*u**2 + 1567*u - 4888245 wrt u?\nAnswer: 594*u + 1567","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**3 - 10*v**2 + 23*v - 5. Let a be p(9). Let g = a + -119. Suppose -2*y = -5*h + 8, -2*y + 0*y = -2*h + g. Solve -10 = -s - m, -h*s = m - 3*m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 695411?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15c (base 15) to base 13.\nAnswer: -1b0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 43 + -3. Let p = 7 + -4. Suppose p*m - 4*m + q = 0. Calculate the greatest common divisor of m and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*j**4 + 396025*j**3 - 1881515*j**2 + 1089350*j + 396120 = 0. Calculate j.\nAnswer: -19806, -1\/4, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1496893817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 24*p**2 + 26*p + 28. Calculate the least common multiple of 14 and w(-25).\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3 (b) 0.244 (c) 11\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 305029002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 101111 (base 2) in base 15?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(18)\/sqrt(6) - sqrt(3))**2 + sqrt(3))*-2 - ((sqrt(108)\/sqrt(6))\/sqrt(6))**2) + (sqrt(27) + 5*4*sqrt(27))**2.\nAnswer: -2*sqrt(3) + 11904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26*(4704\/(-416))\/(-21).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 5*p + 15 = -2*p, 2*p + 22 = 2*z. What is the lowest common multiple of z and 4\/6 + 0 + 106\/3?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of d**5\/5 - 3*d**4\/4 + d**3 - d**2\/2 - 1. Solve j(a) = 0 for a.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -29 + 40. Solve g - 3 = -2*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**18*r*r*r)\/(r*r**(-3)) assuming r is positive.\nAnswer: r**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*t = 2*h + 7 + 17, t - 2*h - 8650 = -8651 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(1\/9))**(-50) assuming o is positive.\nAnswer: o**(-50\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 6618 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-13 - (-13 + 6 + -1) - 24)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -z**2 - 2. Let k(u) = 4*u**2 + 75*u + 4. Calculate -d(y) - k(y).\nAnswer: -3*y**2 - 75*y - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a = 0. Suppose a = 3*l - 731 - 586. What are the prime factors of l?\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46171 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 56601 a multiple of 194?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 11619177 and 1479.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1231 + -422043403?\nAnswer: -422042122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that -j**4\/6 - 587*j**3\/6 - 11885*j**2\/6 + 587*j\/6 + 1981 = 0.\nAnswer: -566, -21, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 197 + 172. Suppose x + m = 2*x. Suppose -x = -5*g - 3. Calculate the remainder when g is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-4)*244\/11712.\nAnswer: 1\/32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 5, -53, -1, 106, -4 in decreasing order.\nAnswer: 106, 5, 4, -1, -4, -53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -6*h*y**3 - 646*h - 2*y**3 + 17894 with respect to h.\nAnswer: -6*y**3 - 646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*u - 8*u - 1 = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-2\/7))**(-5\/9))**9 assuming x is positive.\nAnswer: x**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 12 divided by 42\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 - (14 + -13) - (-380)\/(-1). Let r = -1153\/3 - g. Which is the nearest to -2\/3? (a) -0.2 (b) 2 (c) r (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -3*l**3 - 4*l**2 - 8*l - 36. Let a(y) = -8*y + 20. Let x be a(3). What are the prime factors of r(x)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/4 + 21203*a**2 - 84816*a.\nAnswer: a*(a - 4)*(a + 84816)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 104 and 5135.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 856 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + ((6*sqrt(4)\/sqrt(2) + sqrt(2))**2 - (sqrt(2) - (0 + (sqrt(2) - sqrt(2)*-2) + sqrt(2))**2)) + sqrt(22)\/(sqrt(11) - (sqrt(11) + sqrt(539)*-4)))*6.\nAnswer: -81*sqrt(2)\/14 + 750","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 83 + -82. Let r(j) = 39*j - 3. Is 6 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25183783?\nAnswer: 17, 173, 8563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/407448 and 83\/96?\nAnswer: 1629792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3485*-70.\nAnswer: -243950","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 15, d: 4}. Give prob of picking 4 d.\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6393, -25205, -56517, -100335, -156665, -225513?\n\"Answer: -u**3 - 6244*u**2 - 73*u - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*k + 2 = 8*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 138 - 22. Let r = v + -109. Let w = 5 - r. Which is the third biggest value? (a) -4\/5 (b) w (c) 1\/4 (d) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*(-1)\/((-20)\/4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -332.5 + 42.5. Which is the closest to 0.2? (a) -1\/3 (b) -3 (c) 0.3 (d) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 227*o**5*p*s + 29*o**4*p*s + 9*o**2*p - 10*o**2*s + 14*o*p - 20*o*s + p*s wrt o?\nAnswer: 13620*o**2*p*s + 696*o*p*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 905534, 905657, 905860, 906143, 906506, 906949, 907472?\nAnswer: 908075","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(-40))\/j))\/(j\/(j**(28\/5)\/j)))**46 assuming j is positive.\nAnswer: j**(10258\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2 + 1 - 0\/(-1). Let g(f) = 9*f - 3. Let l(i) = 164*i - 56. Let q(t) = -18*g(t) + l(t). Give q(b).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.109 - -0.107. Let g = d + -0.298. Let m be (-8)\/(-36) + 8\/45. What is the fourth biggest value in m, -3, g, -3\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 2487215?\nAnswer: -2487215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i + 1. Let a be p(-5). Let r(u) = -6 + 10*u + 100*u**2 - 202*u**2 + 101*u**2. What is the tens digit of r(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -222458*t + 444958*t - 4*t**3 - 222500*t.\nAnswer: -4*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-9\/2)*v**30*(v**(-14\/5)\/v*v)**(-10) assuming v is positive.\nAnswer: v**(107\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-9) + 34\/(-153). Solve l = 5*o + b - 3 - 0, 2*o - 10 = 4*b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1975.\nAnswer: 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3787 - -3786. Which is the closest to m? (a) -2\/5 (b) 5 (c) -4 (d) 7\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 224 and 1092.\nAnswer: 8736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1059?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -11*n - 252. Let y(v) = -14*v - 65. Let l be y(-3). Let j be s(l). Solve -a + 4 + j = f, 0 = 5*a - f - 7 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:02 PM and 7:56 PM?\nAnswer: 354","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 56c412 (base 13) to base 16\nAnswer: 1f5ae6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -742438*z - 742437*z - 742439*z + 2227314*z - 4*z**3.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 <= -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1438 - -3075. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 3*t = 13, 4*g = -0*g + 5*t + 1. Let s be (g\/(-10))\/(4\/20). Let r be ((-1)\/(-2))\/((-1)\/s). Put r, 5, -5 in increasing order.\nAnswer: -5, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36, 78, 140, 216, 300, 386, 468, 540?\nAnswer: 596","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 35804 and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 4 + (-5 - -1).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 143.99999854 + -144. What is q rounded to 7 decimal places?\nAnswer: -0.0000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41*w = -115368 + 10736. Calculate the lowest common multiple of w and 464.\nAnswer: 5104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -8*q. Let d(x) = 17*x. Let y(a) = -6*d(a) - 14*l(a). Let o = 18 + -13. Let p(h) = 3*h. Calculate o*y(i) - 16*p(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 60 and 45?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 0*n**2 + 0 + 1\/12*n**4 - 4*n + 0*n**3. Let d(i) be the first derivative of -7*i**2\/2 + 84. What is a(d(b))?\nAnswer: 49*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -13*k**2. Let t(j) = 12*j. Give o(t(p)).\nAnswer: -1872*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (1 - (6 + 2)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**3\/11 - 18*s**2\/11 - 212*s\/11 - 192\/11.\nAnswer: 2*(s - 16)*(s + 1)*(s + 6)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4.705 + 4.7. Let v = l - -0.048. Let n = -1.957 - v. What is the third biggest value in -1, -1\/5, n, -0.5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c**4 + c**4 - 2*c**4)*(5*c - c - 3*c) - 2*c**5 - 111*c + 111*c + (0*c**3 + 3*c**3 - c**3)*(-2*c**2 + 0*c + 0*c).\nAnswer: -5*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 - (1 + -2)) + 22 + -20.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**2 + d + 7. Let a be q(0). Solve a*h - 3*h = -4*m + 8, -4*m + 32 = -4*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 9:19 PM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 3 - 1 + (-1 + 2 + 0)*(1 - 3 + 0) + 1 + 3 - 2)*(5 - 3 + 0)*(0*k + 5*k - 3*k).\nAnswer: 16*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2813620524 a multiple of 66?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -5 - -6. Find o such that 0 + 15*o - 3*o**3 + 11 + 3*o**2 + k - 3 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70127 is divided by 23375.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + -1 + 20 + -11 - -13?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 221227?\nAnswer: 221227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -80*g**4 - 382*g**4 + 253 + 343*g**4 - 1565*g**4 + 1057 wrt g.\nAnswer: -6736*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -204*k - 2*k**2 - 156*k + 5*k**4 + 382*k - 3 in the form x*k + f*k**2 + b*k**3 + t*k**4 + c and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(3402))\/(sqrt(72)\/(sqrt(12)*-3 + sqrt(12) + sqrt(12))).\nAnswer: -27*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 - 29 = -12*r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 840000 = 8*a. Round a to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p. Let y(j) = 2*j**2 + 14*j. Calculate y(v(w)).\nAnswer: 2*w**2 - 14*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 98 = -37*r - 87. What is the nearest to -1\/2 in -0.3, -5\/6, r, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 2*r - 14 = -4*v, -4*v = 2*r - 8. Let a(m) be the first derivative of -1\/9*m**3 - 4\/3*m - 2\/3*m**r + 3. Factor a(w).\nAnswer: -(w + 2)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c4269 - -2ac?\nAnswer: 1c4548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 6*w**2. Let a(f) = -f**3 - 11*f**2 - f - 5. Suppose 3*o - 11 = 4*o. Let k be a(o). Let u(x) = -k + 0 + x**2 + 6. What is u(y(p))?\nAnswer: 36*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((d**1\/d)\/d)**(3\/2))**16)**40 assuming d is positive.\nAnswer: d**(-960)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000041752 to seven dps.\nAnswer: 0.0000418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 493*a**2 + 251*a**2 + 243*a**2 + a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 5) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 930 and 490575.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14 and 2800.\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2627408 and 140.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/2? (a) -2\/9 (b) 169\/4 (c) 5\/2 (d) 0.1 (e) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35306 or -2\/7?\nAnswer: -35306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vvvvvgvguvvvvvvg. Give prob of sequence vvv.\nAnswer: 11\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1566 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -111*q**2 + 13209*q - 6. Give p(119).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3497 = 86*r - 3927. Solve 13*y + 4*o = 11*y - 16, 0 = -y - r*o - 17 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -7*-1*(0 + 1). Suppose 0 = 14*y - 10*y. Suppose -z = -y*z - x. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5240 - -5238.2. Which is the third biggest value? (a) -3 (b) -4 (c) -5 (d) -1\/5 (e) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.03912 + 0.0372396. Round n to four dps.\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -26812870*i*p - 629056*i wrt p.\nAnswer: -26812870*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = b**2. Let m(y) be the second derivative of 107*y**3\/2 - 2*y - 678. Calculate h(m(n)).\nAnswer: 103041*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 + -1)*(-2)\/10*1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6079216 divided by -26.\nAnswer: -233816","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3812*d + 41 = 3*l + 3817*d - 90, d = 4*l - 144 for l.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 78?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 1740?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 22 = 8. Let g = -7 - -26. What is the remainder when (-4)\/d + 170\/3 is divided by g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -2*b + 5*p - 33, 3*b + 5 = -p. Let o be 4\/6 - 19\/b. Let h = -4 + o. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.24 + -3.76. What is the closest to 1 in b, -1\/7, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-3)\/(-1) + -2)*4. Solve 0 = 6*x - 2*x + a for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -28 + 27. Let v be (-8)\/16 - z\/(-2). List the prime factors of ((-1)\/(-2) - v)*44.\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2.8 + 1.2. Let h = -34 + 39.2. Let w = 4.6 - h. Is w at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 3*u - 9 = 0, 3*f - 3*u - 44 + 29 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1721705 = -22*g - 52*g - 15*g. Does 73 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 d when four letters picked without replacement from dddddddjjdddjd?\nAnswer: 45\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -121 in -9, 4, 3, -0.3, 5?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-16) - 3609\/(-36). Let v = j - 90. Solve -3*c = -0*c - 2*f + v, 4*c - f + 5 = 0 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -971*y. Let i(q) = 6*q**2. What is i(h(o))?\nAnswer: 5657046*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24 = 3*r + 3*s, 0 = -r + 4*s - 6*s + 11 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 30*d + 14. Give g(22).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*m**4 - 165765380*m**3 - 343477097964485*m**2 - 343476973640460*m - 85869233049780 = 0.\nAnswer: -4144134, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let u = 149 + -101. Let x = -0.48 + -1.52. Which is the fourth smallest value? (a) -1 (b) u (c) x (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f - 4*q - 76, 2*f + 289*q - 32 = 291*q for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 229.7+-3\nAnswer: 226.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 183 - 179. Let c(m) = -7*m**3 + m**3 - u + m**2 + 4 - 1. Determine c(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -5*u**2 + 7*u - 4. Let f(k) = 5*k**2 - 8*k + 5. Let a(b) = 5*f(b) + 6*m(b). Let t = 44 - 45. What is a(t)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 491478101 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 6397 - 6393. Solve -3*i + 14*b - 10*b = 14, -t*b + 26 = 3*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237 + -1189\/5. Is -2 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = x**2 + 13*x + 12. Let h be y(-12). Suppose f = -h*l + l - 14, -3*f = l + 2. What are the prime factors of l?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -21.3 and 1.\nAnswer: -21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 11*z - 2. Let j(m) = -10*m + 1. Let y(x) = 2*g(x) + 3*j(x). What is the least common multiple of y(-1) and 1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 89 + -66. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*s = 4 + 108. Solve s = 2*c + 12 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*o**2 + 51980*o + 4718700.\nAnswer: -5*(o - 10486)*(o + 90)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n, given that 2*n**3 + 945665*n**2\/4 + 265966*n + 118207\/4 = 0.\nAnswer: -118207, -1, -1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10 - 6. Let d be (-666)\/(-126) + (-2)\/7. Is b bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 2 + 34. Let f = 35.882 - n. Let i = -0.1180024 - f. Round i to 6 decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.9 + -12. Let d = l - 1.9. Put -0.05, 1\/10, d in increasing order.\nAnswer: -0.05, 1\/10, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one sixth of a day in seconds?\nAnswer: 14400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 11:49 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 - 121101101220222?\nAnswer: -121101101221010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 42\/65, 0.1, -1\/5, 2\/7, 0.5 in descending order.\nAnswer: 42\/65, 0.5, 2\/7, 0.1, -1\/5, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -281413*a + a**2 + 281413*a.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 4 = -5*m, -7*m - t + 1 = -2*m. Suppose -2*l + l + d + 41 = m, -12 = 3*d. Is l prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 6*i**3 + 236*i**2 + 53*i - 21. What are the prime factors of h(-38)?\nAnswer: 31, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 39434?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 20 - 2. Let u be 2\/(-6) + 456\/h + -2. Calculate the highest common factor of u and 713.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.272 + -32482.\nAnswer: -32481.728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yyyl when four letters picked without replacement from {y: 6, l: 2}?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 11*m - 61. Let c be r(6). Suppose -c*j + 13*p + 28000 = 12*p, 5609 = j - 2*p. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 36, -137, -420, -807, -1292, -1869, -2532, -3275?\n\"Answer: s**3 - 61*s**2 + 3*s + 93","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8860 is divided by 164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (2\/(-4))\/(-265*6\/12). Which is the biggest value? (a) -2\/5 (b) -0.3 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1051 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the third derivative of m**4\/12 + 2*m**3\/3 + 14*m**2. Let q be h(6). What is the remainder when 155\/3 + q\/(-24) is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 15 - 10. Suppose -71*l = 2*l - 803. Put l, b, 0.3 in decreasing order.\nAnswer: l, b, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 212, -137, -4, 1 in descending order.\nAnswer: 212, 3, 1, -4, -137","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 12.99 + -598.99. Let j = -589 - d. What is the nearest to -2\/5 in 3, -56, j, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 15 + 13 - 50*u**2 + 11*u + 5. Let r(m) = 25*m**2 - 6*m - 17. Let s(l) = 11*r(l) + 6*y(l). Differentiate s(p) wrt p.\nAnswer: -50*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + 5*-5*(-4 + sqrt(242) + ((sqrt(242) + 0)*-1 - sqrt(242)))).\nAnswer: 570 + 1650*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 56*w - 54*w + 4*c - 6, -753*w + 3764 = c for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 8770.826 millilitres in litres?\nAnswer: 8.770826","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 299056.6, -0.2, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*i - 2*i - 4*i)*(3 - 4 + 2) - 3732*i + 655*i - 936*i to the form b + n*i and give n.\nAnswer: -4016","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -6 (c) -2\/9 (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, r: 2, t: 2, u: 6}. What is prob of picking 1 r and 1 x?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 50 divided by -8561256\nAnswer: -25\/4280628","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*v = -74*v + 32184 - 37105 for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*q - 15*q = -108756740. Suppose 0 = 3*r - 8*r + 93445925. Let g = r - q. What is g rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.154 minus -592682.08?\nAnswer: 592682.234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -25*m + 5. Let s(d) = 13*d - 3. Let k(p) = 4*l(p) + 7*s(p). Let f(y) = 2*y + 6. Calculate the remainder when k(-4) is divided by f(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5475988?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2807895365?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoorovctuuorvuo. What is prob of picking 1 c and 1 v?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hxg when three letters picked without replacement from {g: 6, x: 4, h: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -18, -32, -46, -60, -74?\n\"Answer: -14*p - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 + 11*t - 11. Let j be c(10). Let g be (j\/3)\/((-3)\/9). Solve -z = -5*b - 20, z - 2*b = g + 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 87287 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 421 minutes after 4:49 AM?\nAnswer: 11:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (-4)\/2*2*(-364)\/112\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -30\/19 + -10485\/38. Let y = o - -283. Let s = -8197 - -114843\/14. Calculate the common denominator of y and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y + 9. Let c be o(7). Let v be c\/7 + 9\/(-7). Let z = 9 - 10. Are v and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-25947)\/2673 - -9) + -2*(-2)\/(-22).\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 12 + -6. Let r = j + -4. Suppose p + 4 = r*p. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (71 + (-154814)\/2170)*(470\/44 + 4\/(-22))?\nAnswer: -18\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -217692.04 to the nearest one hundred.\nAnswer: -217700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -258*o + 11052. What is v(45)?\nAnswer: -558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyh when three letters picked without replacement from yataaatthahaaay?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*b + 3 = -6*b. Find the third derivative of -6*p**4 + 3*p**2 + 5*p**4 + 8*p**b - 8*p**3 wrt p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or -2\/395?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -125\/9954 and 86\/555.\nAnswer: 1841490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 56 and 343.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a meter in centimeters?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40906.\nAnswer: 2, 113, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**4\/8 - 113*a**3\/6 + 812*a**2 - 1568*a + 39. Suppose i(n) = 0. What is n?\nAnswer: 1, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 2*k + 6 = 0. Let c = k + 10. Let u = 27 - c. Calculate the common denominator of u and -21\/4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1153, 2308, 3463, 4618, 5773, 6928?\nAnswer: 8083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -665 - -59851\/90. Let k(c) be the third derivative of -1\/12*c**4 + 0*c + 1\/45*c**6 - 6*c**2 + 0*c**3 + x*c**5 + 0. Factor k(b).\nAnswer: 2*b*(b + 1)*(4*b - 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3 = 3. Suppose h = 5*c + 5*i - 15, 2*c + 2*c - 17 = -3*i. What is the greatest common factor of c and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 417 + -3028. Let s = 2472 - f. Let b be 1 - (-4 + 8 - s). Round b to the nearest one hundred.\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*f*i*m**3*t - f*i + 16*f*m**3*t + f*m*t - 5*i*m**3*t**2 + 2*i*m**2*t + 4*m**2*t**2 + m**2 wrt m.\nAnswer: 30*f*i*t + 96*f*t - 30*i*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-144)\/(-56))\/(-6)*(-476)\/(-3366).\nAnswer: -2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.18? (a) -1\/5 (b) -0.3 (c) -3.9 (d) 0.05 (e) -169\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (-q - 5*q + 2*q)*(4*q - 7*q - 8*q) as b*q**2 + a*q + x and give b.\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*c - 45 = -3*a, 39022*c - 4*a + 31 = 39019*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 44\/21 in -0.5, 1\/3, -1\/5, 2\/3, 2\/127?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1. Let b = 182.7 + -183. Put 2\/7, k, b in descending order.\nAnswer: 2\/7, b, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 55 = 5*v. Suppose -6*n - v = -8*n. Suppose y = 5*t + n + 12, -5*t = 5. What is the tens digit of y?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 + 19*c**2 - 39*c - 11. List the prime factors of z(-17).\nAnswer: 2, 3, 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 61. Let u(d) = 2. Give l(o) + 2*u(o).\nAnswer: o + 65","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -3*x - 1. Let r(s) = 7*s + 2. Let k(i) = -14*i - 4. Suppose -6 - 6 = -4*v. Let u = 14884 + -14879. Let n(w) = u*r(w) + v*k(w). Give -9*g(l) + 4*n(l).\nAnswer: -l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 - q**2. Let s = 24230 + -24229. Let g(n) = 5*n**3 + 4*n**2 + 2*n. Calculate s*g(a) + 3*r(a).\nAnswer: 2*a**3 + a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) 1\/8 (c) 25.86 (d) 0.4 (e) -0.09 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 + -5.99. Let g = r - 0.11. Let i = -22\/21 + 12\/7. Which is bigger: i or g?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -100.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, -2\/23, 0.2, 2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = -3*o + 77, -o - 17 = -5*i. Let k be (-12)\/(-16) - (-135)\/12. Solve -k - 4 = -i*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 5*d - 4*m = 32, 4*d - 4*m = 0. Let n = 61 + -188\/3. Which is the second biggest value? (a) d (b) -3\/10 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 (base 6) in base 16?\nAnswer: b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -7400*l**3 + 6*l**2 - 9*l. Let k(d) = 7406*d**3 - 4*d**2 + 6*d. What is -3*k(m) - 2*x(m)?\nAnswer: -7418*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - 19*f + 154. Let w be q(6). Suppose w*r + 422 = b + 1265, 863 = 4*r + 3*b. List the prime factors of r.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 4*z - 432 = 0, 5*c = 6*z - z + 755. Calculate the remainder when (c\/(-37))\/((-4)\/19) is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8638209991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 656 - 2047 = 0. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 313?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 73076636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 3*j**2 + 19*j + 22. Let b be t(-5). Let 0 + 1\/5*f - 1\/5*f**b = 0. Calculate f.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/(i**(-2)\/i))**(-16\/3))**33 assuming i is positive.\nAnswer: i**(-704)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 140 and 4004?\nAnswer: 20020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from txxx. What is prob of picking 1 t and 1 x?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 57\/2 of a milligram?\nAnswer: 28500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 313252 + -69?\nAnswer: 313194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 5 = 0, 104 = -4*c + 2*c - 2*i. Let t = -42 - c. What is the greatest common divisor of t and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22651 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 11 - 0. Is 11 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5*y*y**2)\/(y**(-2)\/((y\/(y\/y**(-1\/10)))\/y)) assuming y is positive.\nAnswer: y**(89\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16 is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 560 by -6.\nAnswer: -280\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*c - 9 = 55. Solve -k - 23 = -5*g, -3*g + 5*g = -2*k + c for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -22 - -19 - (5 + 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -15*y - 100. Calculate w(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/42)\/((-16)\/42). Determine x, given that 0 + 3\/4*x**5 - 3\/4*x**3 + 0*x + 3\/4*x**4 - v*x**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/(-15) - (5 + 4026090\/(-929106)). Which is smaller: -1 or y?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -9*l**2. Let t(i) = -15269*i - 22. Determine t(a(o)).\nAnswer: 137421*o**2 - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -6539326 < -0.56?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -12607985 by -13.\nAnswer: 969845","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a, 1 y, and 2 g when four letters picked without replacement from ggygygygggggaggg?\nAnswer: 99\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 247*t - 1012*t - 14458 = -2799 + 1346 for t.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r**3\/3 + 3*r**2 + 8*r\/3 = 0. What is r?\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 45554936*n**5 + 18*n + 107398.\nAnswer: 911098720*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381 + 175 = 2*b - 2*o, 0 = -5*b + 2*o + 1375. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2509664 and -0.1.\nAnswer: -250966.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 99103.\nAnswer: 99103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 282988193 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 4*y = 10, -2*d - y + 44 = 0. Let n = d - 21. Calculate the common denominator of n and 56\/5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1680\/24 + (5 - (4 - 1)) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20625 <= 20626?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -464840493, -929680984, -1394521475, -1859361966?\n\"Answer: -464840491*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + t - 65 = -5*r, -5*t - 3*r = 97. Let o be 4 + 0 + (-2 - t)\/(-3). Let p(h) = -6*h - 1. Determine p(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 101, 0.08, -0.3 in decreasing order.\nAnswer: 101, 0.08, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(1\/4))**(2\/11)\/(v**1\/(v\/v**(4\/11))))**(1\/11) assuming v is positive.\nAnswer: v**(-7\/242)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 133.\nAnswer: 1330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 57730?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 0*c + 98 = 0. Suppose c - 4 = 5*s - 5*l, s + 5*l - 3 = 0. Calculate the least common multiple of 26 and s.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/9 or 4832303?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -392 to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4756 and 16.\nAnswer: 19024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum -14842952274 and 8.92.\nAnswer: -14842952265.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 835028 is divided by 92.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2972*b**2 + 1486*b**2 + 16*b + 1475*b**2 - 2. Let c(y) = 6*y**2 - 8*y + 1. Give -7*c(m) - 4*o(m).\nAnswer: 2*m**2 - 8*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and 0.44?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5908)\/(-633)*(-405)\/(-84)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) 0 (b) -4\/3 (c) 2\/5 (d) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from {g: 5, d: 2, c: 5}.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + 5 - 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkksjvvvvsvv. What is prob of sequence vk?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 379073 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p - 9. Let g be i(10). Let d be 2*(g + -2) - -7. Suppose 3*r - d = 10. What is the units digit of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 28, -6, -2, -5 in descending order.\nAnswer: 28, -2, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (266\/(-189))\/((-4)\/12) + -4?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 118274 and 181960?\nAnswer: 2365480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p = -0*p + 4. Let u = 8 - 1. Let y = -7 + u. Which is smaller: y or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, 8 in decreasing order.\nAnswer: 8, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 184*l**2 - 33*l**3 + 4*l**4 + 83 - 15*l**3 + 17 - 240*l = 0. What is l?\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 207\/(-6)*1*-6. Suppose -3*b = -4*z - 26 - n, -5*b + z + 377 = 0. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1230 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -6*f + 10. Suppose -f*i = -8*i + 13414476. Suppose 0 = -3*z + 2728508 + i. What is z rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k - 52 - 2. Let i = k - -12. Calculate the highest common factor of 27 and i.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3 + -751ed?\nAnswer: -751ea","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -924*s + 27608 = 62*s for s.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o. Let c(g) = 4*g - 16055. Determine r(c(k)).\nAnswer: 4*k - 16055","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 523029837?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -115.753906 from -669.27.\nAnswer: -553.516094","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -189 (b) 5 (c) -1 (d) 1\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r**5 - 12320*r**4 - 19920946*r**3 - 2885676628*r**2 - 8517768000*r - 5652000000 = 0. What is r?\nAnswer: -3000, -157, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k + 7. Let j be d(5). Suppose 0 = 3*x - 0*o + 4*o - 27, -j*x - 3*o + 19 = 0. Let g = 14 - 7. Solve 4*b + 11 = -3*c + 4*c, x*c = -4*b + g for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 i when two letters picked without replacement from {n: 4, w: 9, o: 3, i: 2}?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 309 + -617\/2. Factor u**2 + 0 + 1\/2*u + t*u**3.\nAnswer: u*(u + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4, 257, 0 in descending order.\nAnswer: 257, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15033841 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -181\/2142 and -67\/55692?\nAnswer: 55692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 201686, 403413, 605140, 806867, 1008594?\n\"Answer: 201727*d - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -4, -1\/2, -3\/5, 1\/226, 529, 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*s - 4*s - 3*s + (0*s - 4*s + 9*s)*(-1 + 4 - 1))*(18 - 2*s**3 - 43*s**2 + 43*s**2).\nAnswer: -10*s**4 + 90*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:00 PM and 10:56 PM?\nAnswer: 596","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -h**2 - 75306*h - 451800 = 0.\nAnswer: -75300, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2 - 2*j**2 + 2)*(-1 + 2 - 3) - 3 + 3 + 2*j**2)*(-2 + 5 - 13) + (2 + 0 + 1)*(0 + 2*j**2 + 0) - 2*j**2 + 3*j**2 - 3*j**2 + j**2 + j - j + 1 - 1 - j**2.\nAnswer: -56*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-4)\/(560\/(-30093)). Let m = s - -216. Sort m, -0.4, 0.4 in decreasing order.\nAnswer: 0.4, m, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -151\/36 and 83\/92.\nAnswer: 828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and 21.64?\nAnswer: 21.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 5*r**2. Suppose -3*l = l + 24. Let i = -2 - l. Let n(k) = -i*k**2 - 6*k**2 + 4*k**2 + 4*k**2. Calculate n(w(j)).\nAnswer: -50*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 1354, 2839, 5304, 8743, 13150, 18519?\n\"Answer: -f**3 + 496*f**2 + 4*f + 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((1591\/43172)\/(-37))\/((-1)\/2)*4?\nAnswer: 2\/251","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-10)\/6*15\/(-5). What is the smallest value in 3, 0.3, g?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fr when two letters picked without replacement from frvrw.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 587\/5 + 7\/((-35)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 4*v - 2*t - 12, 2*v + 8 = -2*t. Suppose 10 = 2*j - v*j. Suppose 4*r + 148 - 37 = f, j*r = 10. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 216189 and 21984553?\nAnswer: 2669","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (d**2 + d**2 + d**2 + (6*d + 27*d - 9*d)*(0*d - d + 0*d) + 3*d**2 - 3*d**2 - 2*d**2)*(-d + 40*d + 11*d) to t + f*d**3 + l*d**2 + h*d and give f.\nAnswer: -1150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -42, 4, 6687 in decreasing order.\nAnswer: 6687, 4, -1, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21743981 is divided by 316?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -48297 in -4, 2, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-80)\/(-22))\/2 + (9 - 11)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7573209?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 4*y**4\/15 - 86*y**3 + 103034*y**2\/15 + 52272*y\/5 + 17496\/5 = 0.\nAnswer: -1, -1\/2, 162","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 699 minutes after 8:33 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26723?\nAnswer: 26723","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3095.\nAnswer: 5, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the first derivative of 2*x**6 + 477*x**5\/5 + 1170*x**4 - 400*x**3 - 95. Factor v(l).\nAnswer: 3*l**2*(l + 20)**2*(4*l - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((65\/(-10))\/(-13))\/((-1)\/2).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.4174722ml?\nAnswer: 0.0004174722","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32384 and 5152.\nAnswer: 226688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, q: 10, v: 7}. What is prob of sequence qvv?\nAnswer: 35\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -9\/128?\nAnswer: -9\/128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2844143082?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -46544.3 to the nearest 1000.\nAnswer: -47000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 12 + x - 4*x + 2*x + 3*x - 7*x + (3 - 5 + 3)*(-x - 3*x + 3*x).\nAnswer: -6*x - 12","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3244004 is divided by 463429?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 4. Let h(i) = i**2 + 5*i + 5. Let z be h(-5). Suppose -z*r + 21 = 3*c, -3*r - 3 = 4*c - 20. What is the greatest common factor of d and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -9*v + 36. Let m be d(4). Solve m = -5*l - 25 + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 26*v**2 - 5*v - 57. What is the remainder when m(-26) is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 4.6 + -5. Suppose 3*m = v - 14, 0 = -3*v + 4*m - 0*m + 17. Let o(x) = 4*x**3. Let s be o(v). Put 0.2, t, s in descending order.\nAnswer: 0.2, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 4, 0.07, -0.5, 0, 1\/280 in decreasing order.\nAnswer: 4, 0.07, 1\/280, 0, -0.5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -32*r - 99*r - 855*r - 252*r - 2 + 2 - 3*r + (5 - 1 - 2)*(-4*r + 3*r + 3*r) + 2*r - 4*r + 0*r as o + z*r and give z.\nAnswer: -1239","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = j**3 + 54*j**2 + 40*j - 670. Determine r(-53).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1288 and 72.\nAnswer: 11592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -37 (base 9) to base 5.\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (18\/(-1))\/(36\/12)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 74588, 74590, 74592, 74594, 74596?\n\"Answer: 2*m + 74586","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5495, 3, -1 in descending order.\nAnswer: 5495, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -73301, -146624, -219947?\nAnswer: -293270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y + 45*j - 5 = 40*j, y - 5*j + 17 = 0 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = 6*l**2 - l. Let b be k(-7). Let y = -301 + b. Which is smaller: -15\/43 or y?\nAnswer: -15\/43","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p + p = 20. Let n be -1*((-5)\/1 + 3 - 0). What is the remainder when p is divided by n - (5 - 1) - -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 977844663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1 (b) 0 (c) -4 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lklckkfpcklpwfc. What is prob of sequence clpf?\nAnswer: 1\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 103\/18 and -29\/11385885?\nAnswer: 68315310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -60*v + 125. Let n(m) = 61*m - 96. What is -3*k(p) - 4*n(p)?\nAnswer: -64*p + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -77*r - 28. Suppose -6*u = -61 - 23. Let q(w) = -u*w + 3 - 5 - 3. Let b(o) = 5*l(o) - 28*q(o). Let n(j) = j. What is n(b(t))?\nAnswer: 7*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 218684.\nAnswer: -43736.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 20300 and 687561?\nAnswer: 68756100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 5*p - 4. Suppose 238 = 5*s + p*b, b + b + 256 = 5*s. Let d = -69 - -144. Calculate the highest common divisor of s and d.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4853*f**4 + 4565.\nAnswer: 19412*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.03 (b) -42 (c) -36290.3 (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**2 + 5*a + 2. Suppose 4*c - 1 = 27. Suppose 5*n - 25 = 5*f, 9*f = c*f - 2*n - 6. Give u(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the second derivative of -i**4\/12 + 11*i**3\/6 + 14*i**2 - 16*i. Let j be r(17). What is the tens digit of 6\/(-2 + (-152)\/j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-6612.6.\nAnswer: 26450.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-6 + -14)\/(-5))\/((-1)\/1). Let a be s\/(-14)*42\/3. Suppose -a*m - 42 = -6*m. Solve i = -5*x + m, i - 3*x + 0*x + 19 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve w - 27 = 3*l, -21 = 4*l - 2*l - 13 for w.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6 in -876, 0.3, -0.07, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (3 - (-6)\/(-3))\/(1\/(-1))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 8. Let l(b) = -b**3 - 3*b**2 + 7*b + 5. Let h be l(-4). Calculate the remainder when 41 is divided by a(h).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (55 + 2)*9\/(-9). Let i = k + 89. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -392 + 513. Calculate the lowest common multiple of o and 121.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 39*v. Suppose 3*y + 5*b - 6 = 0, -5*y - 4*b + 5 + 5 = 0. Let r(a) = 237*a**y - 473*a**2 + 237*a**2. Determine r(u(w)).\nAnswer: 1521*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 143912 is divided by 84?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -111c - -6ad62?\nAnswer: 69c44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + z - 15 = 2*k, -3*k - 5*z + 31 = 0. Suppose -k*h + 2*d = -5 - 3, 0 = -h - d - 2. Calculate the greatest common factor of h and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12552 (base 7) in base 6?\nAnswer: 23333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 64*s**2 + 30*s - 101. What is the units digit of r(14)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 830 a factor of 37406818?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 78 and (-3)\/((-168)\/32) - (-80)\/7?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 805, 794, 775, 748, 713?\nAnswer: 670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nnz when three letters picked without replacement from {n: 6, z: 4}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-61)\/(-3))\/((-10)\/84 - 1167\/5446).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-15 - -1) + (101 - 50).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9701985 to the nearest integer?\nAnswer: 3115","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 68.81531m in millimeters?\nAnswer: 68815.31","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -8064.73 and -23.\nAnswer: -8087.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (117\/845)\/((-862)\/(-728390))?\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 553 a factor of 4426951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135912957.\nAnswer: 3, 23, 71, 27743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 21025045 (base 7) in base 14?\nAnswer: 341725","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -282655 to the nearest ten thousand.\nAnswer: -280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -5*d**3 + 12*d - 4. Let y = 1051 - 1047. Let q(w) = -11*w**3 + 25*w - 9. Determine y*q(u) - 9*g(u).\nAnswer: u**3 - 8*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 41 = -h, 0*h + 5*d + 255 = -5*h. Let j = -25 - h. What is the remainder when 93 is divided by j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, 1 f, and 1 u when four letters picked without replacement from uuhuttttutqututuf?\nAnswer: 7\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a62 (base 16) to base 5.\nAnswer: -41113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/2 + -2)*-478. Let d = m + 375. What are the prime factors of 4*-1*(d\/24 - -4)?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -8*r**3 - 2*r + 1. Let w be y(1). Let l be (4 - 0 - -1)\/(-3). Let v = 4\/3 + l. Which is bigger: w or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47461?\nAnswer: 31, 1531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3, 3373, -0.9586?\nAnswer: -0.9586","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 596*r = 602*r - 882. Calculate the remainder when r is divided by 32.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2288000 rounded to the nearest one hundred thousand?\nAnswer: -2300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 2827835 + 0.5?\nAnswer: 2827835.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*n + 29352 - 123147 = 0. What is the highest common factor of 741 and n?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30 + -10?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j*j**(-1\/3)\/j*j*j)\/j*j))**(-45)*(((j\/(j\/j**3*j))\/j*j)\/j)**(2\/145))**(-24\/7) assuming j is positive.\nAnswer: j**(-261048\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = -2*r + 40, -2*r + 0 - 4 = 0. Let m = -5 - u. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 30 + 0)*(-5 + 5 + 5*n)*(n + 2 - 2) to w*n**2 + u*n + m and give w.\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gbgb when four letters picked without replacement from {b: 11, g: 5}?\nAnswer: 55\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 513 and 627.\nAnswer: 5643","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 122 is divided by 38.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -42\/11 and 73\/32?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.97 - 0.03. Suppose -2 = 2*l, l + 2*l = -2*h - 5. Let w = 0 - -0.1. Which is the nearest to 1? (a) w (b) o (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(4*(sqrt(425) + 1*sqrt(425) - sqrt(425))*-3)**2 - (-1 + ((2*sqrt(425))**2 - sqrt(425)))*-6*4.\nAnswer: -120*sqrt(17) + 101976","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 49402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -127 - -131. What is the second derivative of -38*g**4 - 30*g**y + 7*g + 126*g**4 wrt g?\nAnswer: 696*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 4*x**2 + 3*x**2 - 1122 + 1122. Let i(y) = -2*y. Determine q(i(g)).\nAnswer: 28*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1.6 (b) -9014 (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.23 and 42.\nAnswer: -9.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 6*y + 2. Let b be c(2). Suppose -5*i + b = -76. Calculate the remainder when i is divided by 2 + (2 + 10 - 4).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15808272 to the nearest integer?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 585875477 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -934*v - 23051. Calculate m(-21).\nAnswer: -3437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 865974.9 days to seconds.\nAnswer: 74820231360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -37 - (10064\/(-51))\/4.\nAnswer: 37\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -100031 (base 7) to base 4\nAnswer: -10012331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91*a + 607 = 334 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-79849)\/(-595))\/(11\/5)?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 314444792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1932)\/1716 - (-3 + 245\/77). Suppose 4 = 2*d + 3*b, -d = -2*d - 5*b + 9. Is d less than g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1050842*-3\nAnswer: -3152526","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*m - 726 = 240. Let z = -237 + 64. Let u = m + z. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 30737 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000080726 rounded to seven dps?\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 69027510?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = 14*b**3 + b. Give k(-1).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 13 + 10 + -18\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/34)\/((-15)\/(-340)*2).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.1555432 + -5.\nAnswer: -6.1555432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*a - 99 = 959 for a.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3 (b) 2\/13 (c) -1\/148\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.8 - 1. Suppose 0 = 2*l + 2*h - 18, 292*h = 5*l + 293*h - 65. Which is the biggest value? (a) d (b) 2 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*q + 2*y = -23*q + 8, 0 = -2*q + 2*y + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 56 - 56. Let x be 4 - 0 - m*2\/(-4). Solve -11 = -x*q - 3 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 47 and 8?\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(350) - (sqrt(350) - (sqrt(350) + 2*sqrt(350) + sqrt(350))))\/sqrt(7) + sqrt(50))*-4)\/(sqrt(110)\/(sqrt(11)*2) + sqrt(1000)*-3).\nAnswer: 160*sqrt(5)\/59","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 40841 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, 54, 38 in ascending order.\nAnswer: -2, 5, 38, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-1708)\/(-67466) - (-7 - (-7665)\/79)\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105035603 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2075 = -3*g - 17. Let m = 1116 - g. Suppose 3*u - m = -0*z + 4*z, 3*u = z + 418. What are the prime factors of u?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5*b = -120, b = -2*d + 6*b + 70. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3194 + 9455 = 584*v + 21431 + 12278 for v.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, x: 9, j: 5}. What is prob of sequence xx?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 15812.42049 to 0 decimal places.\nAnswer: 15812","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1309382*r**2 - 4413766.\nAnswer: -2618764*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42)\/(-84))\/(-1*(-1)\/(-14)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28913817 is divided by 130.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2174912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -9233\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r**2 - 2*r - 2. Let i(f) be the first derivative of 30*f**3 + 27*f**2\/2 + 27*f + 103. Calculate -2*i(g) - 27*v(g).\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ebukebekbekeyekkneeu. What is prob of picking 2 e?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 2*h)*(-19*h + 56*h + 33*h) + (-2 + 1 + 2)*(-4*h**2 + 0*h**2 + 3*h**2).\nAnswer: -141*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the first derivative of 17*o**5\/5 - 5*o**3\/3 - 6. What is the third derivative of h(j) wrt j?\nAnswer: 408*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 273 and 1197833?\nAnswer: 3593499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppnlfplnpnlppp. Give prob of picking 1 n and 1 f.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -14*c**2 - 32*c - 28. Let b(l) = 5*l**2 + 11*l + 9. Let k(x) = 8*b(x) + 3*z(x). Let w(d) = d + 1. Let u = 3858 - 3868. Calculate u*w(v) - k(v).\nAnswer: 2*v**2 - 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -4780630 < -4780453?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -l**3 + 7*l**2 + 12*l - 109. Give g(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -176, -336, -472, -572, -624, -616, -536, -372?\nAnswer: -112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 32745 - 61757 - 15268 = 0. Is w a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 213054931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 886?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 6, -4, -3849312, 1 in decreasing order.\nAnswer: 6, 1, -4, -3849312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*g + 2*g - 4*n - 372 = 0, 4*g = -3*n + 722. Suppose 5*m - 7*m + g = 0. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -7 - 110?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -3.09701.\nAnswer: -0.09701","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4.4 (b) 0 (c) 5 (d) -1 (e) -642\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3\/5, -1, 8461\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 5557 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b**2 - 4*b + 5. Let k be v(-4). Let q = k + -6. Let g = q + 26. Is g a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 - -8. Let k(l) = 32*l + 19*l - l**2 - 44*l - 2. What are the prime factors of k(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 652*p**4 - 1980*p**3 - 3284*p**2 + 1980*p + 2632 = 0. Calculate p.\nAnswer: -1, 1, 658\/163","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -y**2 - 22*y + 1396. Determine d(27).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 4*p - 10, 28*c - p = 26*c. Do -58 and c have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of 9*b**5\/20 - b**4\/6 + b**3\/3 - b**2 + 302*b. Let s(x) = -26*x**3 + 7*x**2 - 7*x + 7. Determine 7*i(t) + 2*s(t).\nAnswer: 11*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 412001860 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 253 minutes before 11:17 PM?\nAnswer: 7:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 133 + 33. What is the lowest common multiple of d and 3609\/90 - 3*(-2)\/(-60)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l, 2 t, and 1 r when four letters picked without replacement from rrrtltlrtrttt.\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4, -13, -24, -37, -52, -69?\nAnswer: -88","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -18*s - 84. Let d be o(-5). Is 7283 + (0\/(-6))\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -9608 + 13600. Suppose -k + s = -999, d = -0*k + 4*k - 5*s. What are the prime factors of k?\nAnswer: 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30140 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 36452031.\nAnswer: 3, 7, 11, 22543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1\/3, 81654, 0.05 in ascending order.\nAnswer: -1\/3, 0.05, 1, 81654","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*a + 14, -5 = -12*a + 7*a + 5*y. Let d(m) be the third derivative of 0 + 5\/24*m**4 + 1\/6*m**3 + 0*m - 26*m**2 + 1\/60*m**a. What is d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - k**2 - k. Let v(a) = 245*a**5 + 105*a**4 - 123*a**3 + 17*a**2 - 3*a. Let x(i) = -3*n(i) + v(i). Determine f, given that x(f) = 0.\nAnswer: -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes before 2:20 AM?\nAnswer: 2:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -1\/15*a**5 + 49\/3*a**3 + 0 + 55*a**2 + 0*a - 1\/24*a**4. Differentiate i(f) wrt f.\nAnswer: -8*f - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-547 - 1152 - 341)*(0*p + 0*p - 2*p) + 4*p + 4 - 4 as a + x*p and give x.\nAnswer: 4084","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -12*f**2 + 49*f. Let p(q) = -26*q**2 + 98*q + 1. Let v(k) = 2*p(k) - 5*w(k). What is the second derivative of v(l) wrt l?\nAnswer: 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((((sqrt(42) + sqrt(378) + sqrt(42))*4 + sqrt(42))\/(sqrt(6) - (sqrt(6) + sqrt(30)\/(sqrt(15)\/sqrt(3)) + sqrt(6))))**2 - (sqrt(112)*3 + 5)*-6).\nAnswer: 288*sqrt(7) + 3207","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -3*y + 4*a - 4, -5 = -5*y - 5*a. Suppose y = -5*c + 10 - 0. Let s = 14 - 10. Which is smaller: s or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ds when two letters picked without replacement from {f: 2, r: 3, t: 1, y: 3, d: 2, s: 1}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4667, 4647, 4605, 4535, 4431, 4287, 4097, 3855?\nAnswer: 3555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o - 45. Let g(k) = 46. Let z(t) = -6*d(t) - 5*g(t). Let n be z(8). Let x be (-1 - 0)\/(2\/(-22)). What is the greatest common factor of n and x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13888160 by 22.\nAnswer: -631280","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -561 or -3924\/7?\nAnswer: -3924\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ld when two letters picked without replacement from nnnndccnlcmmcd?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 44 + 55 - 10 - 6*s**2 + 1.\nAnswer: -6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m**4\/2 + 127*m**3\/8 - 23*m**2\/2 - 31*m\/8 = 0. Calculate m.\nAnswer: -1\/4, 0, 1, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) be the third derivative of -5*l**4\/12 - 2*l**3\/3 + 6*l**2. Find the first derivative of z(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (96\/20)\/(-12)*30\/2. Let g(c) = 2*c**2 + 12*c + 9. Let b be g(i). Solve -x - 1 = 0, 4*x = -4*a - x - b for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -173*p**2 - 1900*p + 36. Calculate l(-11).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 126632 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 933 is divided by 36.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**9\/j)**(1\/16)\/(j**(-11)\/(j**30*j*j)) assuming j is positive.\nAnswer: j**(87\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 0.3, -1\/7, -23, 48, 3\/13, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 9) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 6 + (-21 - -9) - -277. Suppose -q - 727 + 242 = -3*a, -5*a - 5*q + 795 = 0. Let w = u - a. Does 25 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*g = -c - 26*g + 130, 0 = -6*c + c - g + 225 - 270 for c.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1680 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 1:01 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 6097 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: Suppose 171 = 126*z + 38 - 119. Factor 22\/7*v + 2\/7*v**z + 36\/7.\nAnswer: 2*(v + 2)*(v + 9)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 118 - 1001a?\nAnswer: -aa02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-10)\/(-4)*(-114)\/(-15). Let v be 2\/7 + z\/7. What is the tens digit of 1 - v\/(6\/(-58))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -4*z + 26, -d - 2 = 3*z - 19. Suppose -d*t + 5*x + 15 = 0, 0*t + 4*x - 9 = t. Does 7 divide (-69)\/((84\/(-8))\/t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) be the third derivative of -12*x**2 + 0*x**5 + 0 - 5\/6*x**4 + 0*x**3 + 0*x**6 - 19\/210*x**7 + 0*x. Find the second derivative of v(t) wrt t.\nAnswer: -228*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20675 + -10651. What are the prime factors of c?\nAnswer: 2, 7, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 - 110010001110110000101011?\nAnswer: -110010001110110000101011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**3*b*b\/b**(2\/5)*b**(-9)\/b**(-3))**(-3\/10) assuming b is positive.\nAnswer: b**(21\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 48 + (69 - 59) + -18?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7056 - 7054. Suppose 0 = -4*r - 2*b - 1 - 3, -2*b = 4. Sort r, y, -2.\nAnswer: -2, r, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1)\/(-4) + 14*176674\/16. Let q(y) = y**2 - 1. Let x be q(-1). Suppose -n - p - 165410 = x. What is n rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 424*v**2 - 9*v - 14. Is x(-9) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**2 + 7*i + 18. Let y be h(9). Suppose 3*n - 9 = -3*z, 2*n - 6*n - 5*z + 10 = y. Suppose -18 + n = -d. Solve 5*k = d + 7 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = -j - 27. Let g be k(-24). Let d be (20\/g)\/(28\/42). Round d to 0 decimal places.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4142 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 45 - 1263*l + 645*l - 15 + 651*l + 55.\nAnswer: 33*l + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 164, -2, 4, 3 in descending order.\nAnswer: 164, 4, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -140*n**4 - 44 - 7 + n**3 + 101*n**4 wrt n?\nAnswer: -156*n**3 + 3*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 792661?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.8 (b) -4 (c) 1\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3, -318, -929, -1830, -3015?\n\"Answer: o**3 - 154*o**2 + 140*o + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 892 + -742 + -235 + 20?\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 42 - 21. Let n = -109 - 139. Let o = 275 + n. What is the least common multiple of o and x?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21 - 659 = -85*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3c94 - 394?\nAnswer: 3900","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r - 2*r + 2*r**3 + 3*r - r**2 + (4*r - 3*r + 2*r)*(-2*r**2 + 2*r**2 - 3*r**2) to w*r**2 + a*r**3 + c + z*r and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -76 + 30. Let v = f + 101. What is the tens digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 4:17 AM?\nAnswer: 9:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((m*m*m**(2\/7)*m)\/m)\/m**(-2\/11)*m*m\/(m**(-4)\/m)*m**(-4))**(-17) assuming m is positive.\nAnswer: m**(-7157\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 9) to base 11\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*h + 46*h - 5*p + 11 = 0, 468 = -4*h - 3*p + 492 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 + 244332*o**3 - 244328*o**3 - 2*o**2.\nAnswer: 4*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 7230864 <= 7230864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fifteen quarters of a millennium?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b - 14*a = -18*a - 3, 0 = 21*a + 21. Let c be 82\/(-320) + 15\/25. Which is bigger: c or b?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 6 + -6.1. Which is the closest to -1? (a) 2\/5 (b) -0.5 (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 48224 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*v + 4*v - 6*v.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2422?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - 24*w**2 - w + 19. Let r be i(24). What is the nearest to -1.5 in r, 0.4, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = -4 - 44. Find k, given that 6*k - 12*k**4 - y*k**2 + k + 3*k**5 - 4*k - 9*k**3 + 27*k**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -125203036 divided by 13748?\nAnswer: -9107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1221 - 1823. Suppose 0 = 4*f - 3*f - 855. Let s = f + t. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 458 is divided by 7?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3110 plus -2?\nAnswer: 3108","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c when two letters picked without replacement from {c: 3, k: 3}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the first derivative of -5*z**3\/3 - 8. Suppose 3*x + 2*x = 10. Let b(d) = 2*d**2 - 4*d**2 - 4*d**x + 5*d**2. Calculate f(b(q)).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.131 + 0.294. Let f = y - 0.16300017. What is f rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - 3a?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2119 - -2119. Solve -3*z + 5*o + 28 = m, 0 = -2*z + o - 14 + 21 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nmtmnwmwptmppmtmtwtv. What is prob of picking 2 w and 2 n?\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**2 + 19*k - 242. Determine x(-27).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, n: 5, q: 1, h: 1, c: 3}. What is prob of picking 1 q and 1 n?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-1 - (0 - 12))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14613 is divided by 2219.\nAnswer: 1299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 260317 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/147)\/((-2592)\/(-1008))?\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**2 - 5*l + 19. Let x be f(9). Suppose -x = -4*a + 2*g + g, -49 = -4*a + 5*g. Suppose -a*i + 15*i**2 + 48*i**2 - 35*i**2 = 0. Calculate i.\nAnswer: 0, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 8651 and 0.037174.\nAnswer: 8651.037174","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 72532 + -20163993\/278. What is the common denominator of -18\/973 and f?\nAnswer: 1946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53 at most 2\/17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15498321 to the power of 1\/2, to the nearest integer?\nAnswer: 3937","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -127 + 122 + -12 + 51.\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 33. Let q(z) = z**3 - 4*z**2 - 5*z - 5. Let h be q(5). What is the third biggest value in t, 0.2, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 32 - 53. Let o = 68 + s. Suppose h + 4*h + 36 = b, 0 = 2*b + 4*h - 16. Calculate the remainder when o is divided by b.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 93 divide 33550029?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (((-4402)\/(-213))\/62)\/((-2)\/156)\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -10001111001010011?\nAnswer: -10001111001010101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5170\/3 + -25844\/15. What is the closest to 1 in -2\/19, 3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5\/59 or 26?\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 561, 551, 525, 477, 401, 291, 141, -55?\nAnswer: -303","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 13*b**2 - 5*b + 5. Let k(v) = -72*v**2 + 28*v - 28. Let l(y) = -5*k(y) - 28*x(y). Let g(o) = -23*o. Calculate l(g(z)).\nAnswer: -2116*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -7*g + 6. Let h(q) = q - 1. Let k(j) = -6*h(j) - l(j). Let v(x) = 5 + x - 5. Determine k(v(s)).\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 651 (base 7) in base 13?\nAnswer: 1c5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 6 + 76 = -f, 26*h + 5*f + 61 = 23*h for h.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -420, -368, -282, -162, -8, 180?\n\"Answer: 17*h**2 + h - 438","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -885437 <= -885437?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.7 + -0.7. Let v = f - 3.99999991. What is v rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 - (14 + -17)*38667 - (-1 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = -v**3 - v**2 + 10*v - 21. Let d be z(-5). Solve 0 = d*b - 14*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5085 minus 0.97?\nAnswer: -5085.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(208))*1.\nAnswer: -3 + 4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 22925330.87 to the nearest 100000.\nAnswer: 22900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Are 4414\/5 and 882 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 104309?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + y - 5. Let j = 0.1206 + -0.3206. Which is the nearest to 1? (a) y (b) j (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 222*((-334)\/(-2505) - 6\/20)\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*l - 2 - 276*l - 107*l + 4.\nAnswer: -395*l + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/4)\/((-8)\/(96\/33)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 7*p + 23. Let d(i) = -i - 7. Let g be d(-3). Let j(c) = -3*c - 11. Let x(o) = g*r(o) - 9*j(o). Let u be (3 - -3)\/3 - -5. What is x(u)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2, -15, -5.\nAnswer: -15, -5, -4, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(3\/4)\/z**4*((z\/((z*z**2)\/z))\/z)\/(z**(-5)*z))\/((z**(-4)*z*z\/z**(1\/4))\/(z**(-1)\/z)**37) assuming z is positive.\nAnswer: z**(-73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 4*d + 1626 = -358, 4*d + 4 = 0. Suppose 43*v = 23*v + 19*v + 7, r - 4*v + 6 = 0. What is the greatest common divisor of x and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (28\/12 - 2)*69. Suppose -25 - w = -3*y. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w**3 - 7*w**2 + 2*w + 3. Let g be 17 + (-2*1 - -1). Let x = g - 9. Is l(x) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -169*y**8\/112 + y**6\/120 + 673*y**5\/60 + y**4\/24 + 301*y**2. What is the third derivative of s(k) wrt k?\nAnswer: -30420*k**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 156 minutes before 9:14 AM?\nAnswer: 6:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, m: 4, c: 3}. What is prob of picking 2 m and 1 l?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r + 8*r = -52*r - 13*r + 1848 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*x - 8*x = 96 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.83295 + -0.883. Let s = 104.95 - 105. Let v = s - a. What is v rounded to five dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 12 (b) -8 (c) 284 (d) -0.1 (e) 0.16\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-65 - -34) + 66 - 13) + -102?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 264113\/484187 + -1\/44017. Solve 18\/11 + s*a**3 - 6\/11*a - 18\/11*a**2 = 0 for a.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 2 g, and 1 q when four letters picked without replacement from {q: 5, z: 9, u: 2, g: 2}?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 12 = 3*z. Let p(c) = 4*c**3 + 6*c**2 - c - 1. Suppose 0 = o - 3 - 2. Let q(i) = -3*i**3 - 5*i**2 + i + 1. Calculate o*p(g) + z*q(g).\nAnswer: 2*g**3 + g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -48*c - 69. Let j(r) = -2*r + 16. Let x(a) = 5*j(a) - m(a). What is x(-4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c9a047 (base 13) to base 11.\nAnswer: 2744197","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -a11 - -243690?\nAnswer: 24277a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3900, -7068, -10234, -13398, -16560?\nAnswer: -19720","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3515979 - 9.5892966.\nAnswer: -3515988.5892966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 - 3*p**2 + 4. Let x be l(-2). Suppose 0 = -3*j + 3*n + 127 + 140, x = 3*j + 4*n - 274. Calculate the greatest common factor of j and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 306 + -302. Solve 0 = r*f, -4*m + f = 4*f + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 38\/35 and -44\/11113045?\nAnswer: 77791315","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00002187 to 6 decimal places.\nAnswer: 0.000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 210*i - 107. Let q be f(9). Let w = q + -528. What is the hundreds digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2535 - 2299. Calculate the highest common divisor of 590 and j.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ok when two letters picked without replacement from {k: 2, y: 1, f: 1, o: 3, b: 3}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -41 + 43. Suppose -3*v + 175 = -u*p, v + 3*p - 39 = 1. What is the greatest common factor of v and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 2 + 3)*(6 + 2 - 4)*(-2 - 2 + 5)*(-4*s**4 - 3*s**4 + 3*s**4) in the form j*s + a*s**4 + y + f*s**2 + o*s**3 and give a.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the second derivative of -a**5\/120 + 7*a**4\/36 + 5*a**3\/12 + a + 39. Factor m(z).\nAnswer: -z*(z - 15)*(z + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 74\/(-185)*(-550)\/4.\nAnswer: 78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 - 22 - 70 + (-2 + 1 + 3)*(-3 + 3 - 2) + 0 + 0 + 2)*(2 + 2 - 2)*(0*d + 0*d + 2*d).\nAnswer: -324*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6102 and 702.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3 - 11. Let s = t + 9. Is -4 + (542 + s)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1859?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (-157)\/(-1) - (3 - 2) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*z**3\/5 + 1682*z**2\/5 - 193692*z\/5 + 4699728\/5 = 0. Calculate z.\nAnswer: -946, 36, 69","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 20965464 and 62896394\/3 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 7 - 7. Let v = 10 - 7. Let q = v + -2.5. What is the smallest value in 4, h, q?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*w - 18*w = -12. Solve w*f = -f - 20 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8545385 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9056*i**4 + 9*i**2 + 4*i - 141?\nAnswer: 217344*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -150525*v**4 - 40*v**2 + 118326*v - 27 wrt v.\nAnswer: -1806300*v**2 - 80","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 2*q + 134 = 0, -65*f - 72 - 60 = -70*f + 8*q + 63 for f.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7912 + 13316 = 29*w. Calculate the lowest common multiple of w and 12.\nAnswer: 732","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 443*t - 86*t + 3*t - 5040 for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**6\/27 - 34*v**5\/15 + 403*v**4\/9 - 200*v**3 - 2376*v**2 + 5184*v + 150. Let f(r) = 0. What is r?\nAnswer: -4, 1, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -39.3 - -41. Let q = m - -0.3. Let t = q + -2.5. Put 3, -0.2, t in increasing order.\nAnswer: t, -0.2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 0*o)*(-321*o - 275*o + 181*o) + (3*o**2 + 4 - 4)*(-2 - 2 + 1).\nAnswer: 821*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48559\/12 - -16191\/4. Sort -0.5, p, 2\/23, 66 in descending order.\nAnswer: 66, p, 2\/23, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 - -24. Let q = 27 - u. List the prime factors of q.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103982?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3599774 to the power of 1\/2, to the nearest integer?\nAnswer: 1897","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 + 6*o**2 - o + 3. Let r be a(3). Suppose -93 = 5*f - 3*u, -4*f + 3*u + 22 = 94. Let n = r + f. Solve n = b + 1 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 253 times 4\nAnswer: 1012","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 r when three letters picked without replacement from {l: 7, s: 1, f: 6, q: 1, r: 2}?\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -6*p**2 + 7*p + 7. Let w(q) = -12*q**2 + 13*q + 13. Let z(o) = o**3 + 7*o**2 + 3*o + 10. Let f be z(-7). Let v(s) = f*u(s) + 6*w(s). What is v(-1)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = r**2 - r + 2. Let j be b(0). Let q(n) = -n**j + 9*n**2 + 12 - 4*n**2. Let w be q(-7). Calculate the greatest common factor of w and 26.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1301009 (base 11) to base 10\nAnswer: -2256054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = u**2 - 5*u - 2. Let d(z) = -z**3 + 4*z**2 - 3*z + 4. Suppose 2*i - 2 - 4 = 0. Let t be d(i). Give r(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 23, -6\/13, -1, 0, -0.4 in increasing order.\nAnswer: -1, -6\/13, -0.4, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -5682 greater than -5682?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -35 - 27 + 56 + 3*t in the form d*t + i and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 4, v: 2, k: 4}. What is prob of picking 2 v?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 1, j: 2, f: 1, a: 1}. Give prob of sequence ba.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 12549, 100427, 338955, 803457, 1569257, 2711679, 4306047?\nAnswer: 6427685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z = -3*z - 67. Let r be (-6)\/(-1*(-2)\/z). What is r rounded to the nearest ten?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -44\/3051 and -65\/99327.\nAnswer: 893943","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -21*k - 146. Let w be g(-7). Let f(c) = 453*c**3 - 4*c + 5. What is the tens digit of f(w)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/2 - 23*f\/2 + 21.\nAnswer: (f - 21)*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**3 - f. Let h be n(1). Suppose -4*z = h*g + 6, z + 5*g + 15 = 5*z. Let w = 2 + z. What are the prime factors of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 43 + -41. Let c(h) = h**2 + 2*h**2 - 6*h**b - 5*h**2. Let i(z) be the second derivative of z**3\/3 - z. What is i(c(t))?\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -116000 to the nearest 10000.\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 bigger than -2\/3181279?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1001101 + 1011110001101100010011?\nAnswer: 1011110001101011000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72.16 - -0.84. Let s = 73.2 - u. Which is the nearest to s? (a) -4 (b) -0.2 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*j - 6, 3*t - 264 = -5*j + 93. Solve 72 - t = -7*x for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2564400392?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -b - 3330?\nAnswer: -333b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 405*f**5\/4 - 16218*f**4 - 56119*f**3\/4 + 201947*f**2\/2 - 17221*f - 966 = 0.\nAnswer: -3, -2\/45, 2\/9, 2, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -173 + 169 - (-1 + -13 + 19).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (50\/90)\/(60\/5688)*2082\/4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3375 and 975?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25 by 3.\nAnswer: -25\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4363486 is divided by 327.\nAnswer: 325","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 h when two letters picked without replacement from qxqrqthqqqrxqqrrqxxr.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 236 - 890 = u. What is the common denominator of u\/84 + 2 + 1 and -21\/10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 963788?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 40630927 to the nearest ten thousand.\nAnswer: 40630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/10*(-4)\/6.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-476)\/13209)\/(((-8)\/18)\/((-2)\/(-3))).\nAnswer: 2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = w**2 - 5*w - 16. Let s(j) = 1. Let p(u) = r(u) - 4*s(u). Determine p(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 2*r - 4. Let c be d(2). Suppose c = -5*g + g + 3640. Let s = -45 + g. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 2*o - 18 = 0, -167*o + 41 = 5*x - 164*o for x.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*z**3 - 115*z**3 + 40*z**3)*(22*z + 584 - 584) in the form i*z**3 + o*z**2 + k*z + x*z**4 + d and give x.\nAnswer: -1430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 635011248?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1 - 1.38462171.\nAnswer: -1.28462171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 - 1. Suppose t = -0*l + l + 5. Let f(w) be the second derivative of -w**5\/20 - 5*w**4\/12 - w**3\/6 + w**2\/2 - 28*w. Calculate f(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2417?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8 - -e8?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i**2 + 3*i - 3*i)*(155*i**2 - 10098 + 10098).\nAnswer: -155*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -2*f**2 - f**3 + 2 - 1 - f + 5*f**2. Let u be z(3). Let r(b) = 6*b**2 - 2*b - 1. Is 9 a factor of r(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 82 - 64. Solve 3*m + 5 = 2*o - 2, -4*o + j = -2*m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s + 10 = 4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 328*o + 797. Is w(5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -13.18935509 + -554938938.81064491. Let s = k + 554938918.00000104. Let a = 34 + s. What is a rounded to seven decimal places?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -7, 4, -1, -209, 5, -521 in decreasing order.\nAnswer: 5, 4, 1, -1, -7, -209, -521","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of -t**4\/24 + 145*t**2. Suppose -4*p - 2*p + 54 = 0. Let s(j) = 28*j - 17*j - p*j. Give s(x(g)).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 51*t + 2. Give a(1).\nAnswer: 53","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 141*g**3*h**3 - 43212*g**3 + 2*g**2*h**3 - 309*g**2*h - 153*g**2 + 2*h**3 wrt g?\nAnswer: 846*h**3 - 259272","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/2, -3\/2, -4, -24, -3.\nAnswer: -24, -4, -3, -3\/2, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 3*o**2 - o**2 - 2*o**2 + 4*o**2. Let d(v) be the first derivative of -v**3\/3 - 3. Give l(d(r)).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/4)\/(((-7)\/14)\/(2\/20*44))?\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes after 6:50 AM?\nAnswer: 1:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/5, 1\/3, -4, 521, 4\/9?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 51688.27g?\nAnswer: 51688270000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 613 - 612.999889. Round r to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 1, 5, -3, 355 in decreasing order.\nAnswer: 355, 5, 3, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.23173um to centimeters.\nAnswer: 0.008823173","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-15*k - 4*k - k)*(-k**2 + 0*k**2 - 3*k**2)*(2*k**2 - 4*k**2 + k**2 - k - 1).\nAnswer: -80*k**5 - 80*k**4 - 80*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-1*6\/12)\/(3\/(-168000072)). Let k be c\/4 + 1 - (12 + -8). What is k rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from ooooorrorrooor?\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ew when two letters picked without replacement from eewwkwkwkkwkwwkk.\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 278066510*a**4*v - 2*a**2*v + a**2 + 195*a*v - 102*a + 2*v + 11 wrt a?\nAnswer: 6673596240*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 10:42 PM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -3 - s**3 + 16*s**2 + 3*s - 7*s + 27. Is h(13) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j - 1359 = -1425 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 28*f*n*u*x**2 - 3*f*n*u + f*n*x**2 - 10*n*u + n*x - 2*u + 1 with respect to x.\nAnswer: 56*f*n*u*x + 2*f*n*x + n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5173 (base 9) to base 4.\nAnswer: -323100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(704) - -1*sqrt(704)*2) + 6*(sqrt(704) - 1*sqrt(704)))**2 + 6*(-4 + sqrt(704)*-1)**2.\nAnswer: 384*sqrt(11) + 10656","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g - 313 = 3*h - 331, -g = -h + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 4 = 20. Suppose -m*w + 12 + 12 = 0. Solve -4*n - p + 5 = 0, -2*n + 2*p = -4 - w for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 4)*(2 - 2 - 2) - 6 - 7 - 1)*(-l - 3*l + 0*l).\nAnswer: 48*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*q**2 - 4*q**2 + 11*q - 16*q - 27*q + 32*q.\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**3 + 111*t - 3 - 108*t - 2*t**3 + (4*t**2 + 0*t**2 - 6*t**2)*(3 + 2*t - 3).\nAnswer: -3*t**3 + 3*t - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, d: 4, h: 4, x: 3, s: 2}. Give prob of sequence dxd.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3744)*1)\/(sqrt(18)\/(sqrt(9)*-2) - sqrt(2))*3.\nAnswer: -24*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 3 + 1)*(-3*h**2 - 2*h**2 + 3*h**2) + (-1 + 1 + 2*h)*(1 - 1 + h) - 3*h**2 + 6*h**2 - 2*h**2 + h**2 + 2*h - 2*h.\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*c + 3490 = 25042. What is the remainder when c is divided by 71?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/((-72)\/(-148)) - -6?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mham when four letters picked without replacement from mhazmwb.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the second derivative of o**9\/5040 - o**5\/60 - o**4\/4 + o. Let p(s) be the third derivative of m(s). Find the first derivative of p(w) wrt w.\nAnswer: 12*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -m. Let k(x) = 313*x**2. Give k(z(r)).\nAnswer: 313*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4554847?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -2*n + 29*n + 42 + 0*n - 119. Let w be x(6). Let o = 16 + w. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 155 and 29903065?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/(-3) + 59\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -18*i - 9. Let l be m(-12). Calculate the greatest common divisor of l and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 12079, -11 in decreasing order.\nAnswer: 12079, 2, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 39.4 - 36. Let i = s + -1.4. What is the third smallest value in i, 0.2, -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 6}. What is prob of sequence aa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 351 + -345. Which is the closest to 2\/5? (a) -0.12 (b) 0.4 (c) -5 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 9 = -9*w + 12*w, -3*w + 5*d = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the second derivative of -r**4\/4 - 3*r**2\/2 - 2*r. Suppose -23*l + 33 = -8 - 28. Let g(o) = -o**3 + 4*o**2 + 4. What is l*g(s) + 4*v(s)?\nAnswer: -3*s**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1 - 0) + 125*(-10)\/(-50). Suppose t*w - 32*w = 0. Solve -2*i + 2 - 8 = w for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -145\/20076 and -65\/13623.\nAnswer: 381444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -0.2 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -7702.94974 + 7703. Round y to 3 decimal places.\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1102 - 12724*o + 1315 + 12727*o - 176.\nAnswer: 3*o + 2241","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*b + 104, 2*b - 4*x + 114 - 10 = 0. Let f be (-37120)\/720 - ((-64)\/(-36))\/4. Is f less than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1 + sqrt(1088) + 2)**2 + sqrt(1088) - sqrt(1088)) + -4)*2.\nAnswer: 32*sqrt(17) + 2170","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10215 + 4?\nAnswer: 10223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(360))\/sqrt(12) - (sqrt(30)*-2 - sqrt(30))*-5)\/((-6*sqrt(120)*2)\/(1*sqrt(192))).\nAnswer: 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -2.09\nAnswer: 0.627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10010100101100001010 + -1001000100?\nAnswer: -10010100110101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (5*o - 4*o - 5*o)*(-47236*o**2 - 2 + 44140*o**2 + 2) in the form l + s*o**3 + w*o**2 + y*o and give s.\nAnswer: 12384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3 + (-6)\/(-4) + -1)*1198. What is the third derivative of o - 114*i**2 - 4193 + 8*i**6 wrt i?\nAnswer: 960*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63 a factor of 288249856?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/((-4 + 3)\/10). Let y = 7 - c. Does 9 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 5 (b) 0 (c) -3.49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-v + 0*v + 0*v)*(15*v - 2*v + 10*v) - 4*v**2 - 2*v**2 + v**2)*(1 - 3 - 2)*(-2*v - 3*v + 3*v) to the form k*v**2 + y*v**3 + g*v + o and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 - 9*h + 6. Let n be a(8). Is n\/7 + (-535)\/(-35) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -19. Calculate the common denominator of -23\/10 and (9\/v)\/3 + -33.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = f - 8, 0*w - 2 = 2*f + 2*w. Let q(o) = -o + 4. Give q(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -351963*v**2 + 666096*v wrt v.\nAnswer: -703926","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -437 + 436. Let o = -0.03526 - 0.9633. Let j = h - o. Round j to four decimal places.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**2 - 2*b**2 - 3*b**2 + 1 - 1 - 2*b**2 + (0*b - b - b)*(-1 - 2*b + 1) + 4 - 4 - 5*b**2.\nAnswer: -7*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 2 - 413*w + 4 - 4*w to y + i*w and give i.\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -2*t + 20. Suppose -25 + 9 = -4*l. Suppose 8*o = l*o + 28. Calculate the remainder when t is divided by o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 560970 to the nearest 10000.\nAnswer: 560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 60 + -59. What is the units digit of 4*f - (9 + -73)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -8 + 11. Let b(l) = 0*l**2 - 5*l**2 - c*l**2. Let q(h) be the second derivative of h**3\/6 - 33*h. Determine q(b(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 10*d + 5*d - 9*d**3 + 3*d - 2*d**2 + 8*d**3 + 5*d + 7*d**4 in the form j + i*d**2 + a*d + q*d**4 + c*d**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((32\/(-40))\/4)\/((-11)\/10)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -6*x + 122. Let o be d(13). Suppose 8*w - o = 68. Calculate the greatest common factor of 217 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -29*t + 8. Let v(g) = 30*g - 5. Determine 3*a(r) + 4*v(r).\nAnswer: 33*r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n + 28*n + 64 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + -3 + 0 + 8. Let x be -2 - (-1 - 3)\/h. Suppose -79*b = -74*b + 15. Which is smaller: x or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 10 + -8. Let l(z) = 385001*z - 2. Let p be l(c). Round p to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -5 + 8. Suppose -3*c + 2*y = -58, 0*c = -2*c + x*y + 42. Let g be c\/(0 + (-2)\/(-14)). What is the greatest common divisor of g and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6816 divided by 8\nAnswer: 852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 262220 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1 + (-5)\/(-45))*(-2)\/(-10). Which is the third smallest value? (a) p (b) 0 (c) -2\/15 (d) -1\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(56) - (sqrt(112)\/sqrt(2) + sqrt(56)))*5)\/sqrt(4))\/(sqrt(16)\/(sqrt(24)\/sqrt(3)*-3)).\nAnswer: 15*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61880800.\nAnswer: 2, 5, 77351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 2*k**2 - k - 1. Suppose 0 = -9*w + 4*w + 3*u, -w + 8 = u. What is the remainder when s(4) is divided by (w - 1)\/(3\/21)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*c**3*i*v - 30*c**3*v + 3*c**2*v - c**2 + 4*i + 2 wrt c.\nAnswer: -12*i*v - 180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = h**2 + 1. Let y(s) = 3*s**2 + 2*s + 1. What is 5*a(x) - y(x)?\nAnswer: 2*x**2 - 2*x + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -5, 1, 14, -1\/3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 241 + -231. Solve 2*c + 18 = 2*h, h + 4*c + 6 = -u for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3*(0 + 4)\/4. Suppose -4*x - 4*c = -9*c - 227, 0 = j*x + 4*c - 209. List the prime factors of x.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*t + 42 = -9*t + 2*g - 15, -3*g + 4*g - 12 = 3*g + g for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.84 + -0.04. Let t = -0.879655 - l. Round t to 5 decimal places.\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 1 - (3 + 8 - 14).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:33 AM and 8:50 AM?\nAnswer: 197","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**3 - 79*l**2 + 38*l + 17. Calculate b(39).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 63224 divided by -2\nAnswer: -31612","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = 7*o - 2974 + 2974. Let n(v) = -39*v. Give n(l(w)).\nAnswer: -273*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.10498619 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 204166 (base 9) in base 3?\nAnswer: 20011012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Convert 7.55288g to tonnes.\nAnswer: 0.00000755288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 45\/6*2\/3. Suppose -k*s = -s. Suppose -4*j - 5*n = -61, -3*j - 2*n + s = -51. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -15*l**3 + 3*l**2 + 2*l. Determine p(-1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = m**2 - 5*m - 3. Let j be h(6). Suppose 0*o = -j*a + o + 68, -3*o + 82 = 4*a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yx when two letters picked without replacement from jysryrx?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**4 + 2*n**4 - 10 + 18 - 7 + 2*n**2 to o + w*n**2 + c*n + d*n**3 + i*n**4 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.047 minus 1.15849?\nAnswer: 15.88851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2ab7 (base 14) to base 9.\nAnswer: -11384","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/30*-4*15*1. Let v be ((-4)\/w)\/(2\/6). Suppose -5*u - 7*l = -5*l - 8, 0 = 2*l + v. Which is the biggest value? (a) -0.3 (b) -1 (c) 0 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 149417*c**2. Let s(u) = -8*u. Determine t(s(y)).\nAnswer: 9562688*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-1))\/(7\/((-98)\/4))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -837, -1689, -2539, -3387, -4233, -5077?\nAnswer: -5919","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2. Let u(q) = -6*q**2 - 20*q + 3. Determine 2*f(d) - u(d).\nAnswer: 2*d**2 + 20*d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000878 to five dps.\nAnswer: -0.00088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 5. Let i(k) = k**3 - k + 2. Let l be i(-2). Let s(d) = d + 4. Let t(f) = l*s(f) + 3*p(f). Let j(x) = 2*x - 8. Let z be j(5). What is t(z)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38 = -3*o + 4*z + 98, 3*o - 104 = -4*z. Suppose -4*h + o = -0*h. Suppose -2*f + 3*u = -h, f - 31 = 5*u - 12. Sort -4, 3, f.\nAnswer: -4, f, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/4 + 110\/(-24))\/((-235)\/(-705))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*((m\/m**(-1\/5))\/m)\/m)\/m*m\/(m**(-3\/2)\/m)*(m**(-1\/2))**(-2\/113) assuming m is positive.\nAnswer: m**(3061\/1130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64 - 2*q - 15 + 4*q - 3*q - 108 + 0*q.\nAnswer: -q - 59","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -1006 (base 10) in base 4?\nAnswer: -33232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3 - 59*u**2 + 2873*u - 26877.\nAnswer: -(u - 17)**2*(u + 93)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 46120.7 rounded to the nearest 100?\nAnswer: 46100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (0 + -6 - (-13 - -11)) - (-81 - -22).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 24\/5 - 2\/5*n**2 + 22\/5*n = 0. What is n?\nAnswer: -1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 199 + -197. Solve -2*o + 4 = 5*w, -4*w + 11 = -3*o + c*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 3, 4, -1003 in descending order.\nAnswer: 4, 3, 1, -3, -1003","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 7273.39 - 7181. Let q = k - 93. What is q rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42 - -47. Suppose 3*s = -2*b + 275, -k*b = 4*s - 0*b - 362. What are the prime factors of s?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12 - 619*b**2 + 636*b**2 + 14 wrt b.\nAnswer: 34*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43838426 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8665151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1583 (b) 5 (c) 4\/7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put together -64331643173 and 0.08.\nAnswer: -64331643172.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -56259680 to the nearest one million.\nAnswer: -56000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 + 5 - q**3 - 6*q - q**3 + 7*q**2. Let m be (14 + (4 - 1))*1. Suppose 0 = 6*c - 53 + m. Calculate d(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 648*a = 658*a. Solve 5*w + i - 21 = a, 3*i + 18 + 14 = 4*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in 26, -3\/5, -61?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -3\/9120197 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435269.\nAnswer: 281, 1549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 125\/(-35) + (-4 - (-10 - -3)). Let y be ((-2)\/4)\/(3 - 15\/6). Which is the second biggest value? (a) -5 (b) y (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -3705538, -7411051, -11116538, -14821993, -18527410, -22232783?\n\"Answer: t**3 + 7*t**2 - 3705541*t - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (2*(-15)\/20)\/((-3)\/(-8))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/270)\/((-1)\/(-18))*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s\/s**30*s**(-25\/2)*s assuming s is positive.\nAnswer: s**(-81\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12 - -26. Let c be (r\/(-4))\/(2\/(-4)). Let u(m) = m**2 - 6*m + 7. Let p be u(6). What is the highest common factor of p and c?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 16\/(-12) + (-20)\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - 4 - (-97 + -3). Let x = s - 527\/5. Let a = -6154\/5 - -1239. What is the common denominator of a and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + 3*c - 9, 3*b - 2*c = -6*c + 12. Solve b = 6*q - q + 20 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Let p = -21 + 29. Let j be p\/6 + 2\/(-3). What is the nearest to j in -3, k, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 0 - 18 = 5*d, u + 12 = -3*d. Let q(m) = -2*m - 4. Let i be q(d). Determine l so that 0*l**i - 4*l**2 + l + 3*l**2 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 12 = -5*p. Find the third derivative of -3*a**2 - 4*a**3 + 2*a**3 + a**2 + 4*a**p wrt a.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kjyjjyyyyyyyyj. What is prob of sequence jkyk?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 9\/(-4) - (-12)\/(-16). What is the remainder when 121 + i + 1 + 0 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 44 = 5*h - k, 2*h + 17*k = 22*k + 13 for h.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -41753440 rounded to the nearest one hundred thousand?\nAnswer: -41800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 4*n**2 + 10*n + 4. Suppose 4*m + 3*i - 17 = 0, 4*m = -0*m - 2*i + 22. Suppose -5*g + 13*g = -m. Let h(c) = -c**2 - c - 1. Give g*y(v) - 6*h(v).\nAnswer: 2*v**2 - 4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3921868.\nAnswer: 2, 23, 47, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 - 2522*i**3 + 2*i**2 - 2*i - 2*i**4 + 2515*i**3 - 3 in the form z + x*i**2 + f*i**4 + t*i**3 + a*i and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*t + 1 - 9389*t**2 + 18 + 9397*t**2 + t**3 as i*t + y*t**2 + u*t**3 + h and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 25851.6 to the nearest 1000.\nAnswer: 26000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4313934 a multiple of 1082?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -998723, -1997439, -2996155, -3994871, -4993587, -5992303?\nAnswer: -6991019","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 283.84755 months in centuries?\nAnswer: 0.236539625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + l - 1497 = 0, 4*p - 5*p + 1491 = -5*l. What are the prime factors of p?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 126 = -4*p, 0*p + 2*p + 3*d - 83 = 0. Suppose -b + 62 = -p. Suppose 5*y - y - b = 0. Calculate the remainder when 70 is divided by y.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -268600 rounded to the nearest ten thousand?\nAnswer: -270000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -q**2 - 38*q + 64. Let m be z(-36). What is the greatest common factor of m and 2125?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 60*l + 82*l - 4642 = 131*l. Solve -4*i - l = -442 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -5 (b) 24 (c) 44.66 (d) -4\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p + 5*p - 3*p + (-1 + 2 - 3)*(-6*p + 3*p + 2*p))*(1 - 16 + 8 + (-2 - 4 + 4)*(3 + 0 - 1)) to the form x*p + c and give x.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12\/5*f**5 - 3888\/5 + 357\/5*f**4 + 12069\/5*f**2 - 3474\/5*f**3 - 12312\/5*f = 0 for f.\nAnswer: -1\/4, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 636352519?\nAnswer: 11, 251, 230479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -12*u + 61. Let w be q(-6). Is 28 a factor of (w*1)\/(-8 - (-99)\/12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 228875665 to the nearest integer?\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(sqrt(833)*4 + -4))**2 + (sqrt(136)\/sqrt(8) + -5 + sqrt(153)\/(sqrt(99)\/sqrt(11)))**2.\nAnswer: -244*sqrt(17) + 13437","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 496\/93 - (-1 + 4\/3). Suppose -u + 322 = c - 0*c, -v*u + 956 = 3*c. List the prime factors of c.\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -749, -754, -761, -770, -781, -794?\n\"Answer: -t**2 - 2*t - 746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00108325327 rounded to seven dps?\nAnswer: -0.0010833","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**3 - 69*i**2 - 159*i + 225 = 0. What is i?\nAnswer: -3, 1, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -201 + 1004\/5. Which is the third biggest value? (a) x (b) -3\/7 (c) -0.5 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001100001101101 (base 2) to base 3.\nAnswer: 1222112020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 103 divide 51983173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v = 3*m + 36, 14 = -5*m - v - 18. Let z = 7 + m. Suppose k + z*l + 3*l + 12 = 0, 0 = 2*k + l + 4. Solve k = -f + 10 - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 198\/17 (b) 69.497 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7856 is divided by 3378.\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - -9. Let m(i) = -i**2 + 14*i + 19. Let r be m(g). Solve 29 = -4*s - 0*s - 5*y, -y - r = -s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1819739818.\nAnswer: 2, 13, 41, 1707073","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8? (a) -3\/14 (b) -3 (c) -3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -299941 + 299938. Let r = 3.25 + -3. Let k = 0.05 + r. What is the closest to k in 2, z, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27515 + 27388 - (0 + -189)?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange w - 292 - 1056 - 2785 - 548 + 520 to j*w + z and give z.\nAnswer: -4161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - o = o - 4, 0 = -h - 5*o + 18. Let q(w) = -w**2 + 6*w - 7. Let c be q(5). Let d be c - (-1*2*h)\/(-2). Solve d = -8*m + 5*m + 9 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13735 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -130 + 142. Suppose -4*l = -h + 20, -q = -l - 0*l - 4*h. What is the hundreds digit of ((-273)\/2)\/(l\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*l = -18*l + 28. Solve -u = -3*u + l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 7 - (-16 + 25 + -17 - -7).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**3 - 5*z**3 + z**3 + (-3*z**2 + 0*z**2 + z**2)*(z - 3*z + 0*z) - z + 5 - 6 - 2*z**3 + 0 + 3*z**2.\nAnswer: z**3 + 3*z**2 - z - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*p - 6*p + 9 + 0*p.\nAnswer: -2*p + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1110.17 + -1118. Let v = -0.33 - j. Round v to 0 decimal places.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -12*z**2 - 6*z. Let c(a) = -11*a**2 - 8*a + 1. Give 2*c(r) - 3*u(r).\nAnswer: 14*r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 12\/24*(-8)\/(-26)*1. Sort 2\/9, -1, -1\/4, i.\nAnswer: -1, -1\/4, i, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1158015, -2316033, -3474005, -4631907, -5789715?\nAnswer: -6947405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -235820629.2 from 12034.\nAnswer: 235832663.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 456 in 0.4, 0.3, -5098?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -21400 - 40140. Let x = w - -11323423\/184. Calculate the common denominator of x and -13\/11.\nAnswer: 2024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -c1 (base 13) to base 9\nAnswer: -184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6745?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7649 (base 11) to base 8.\nAnswer: 23560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 495.66 rounded to the nearest 10?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 88 + 46. Suppose -2*q = -2502 - 890. Suppose -q - z = -15*r. Is 18 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36023 = -9*k - 8*k. Let q = -12793\/6 - k. Calculate the common denominator of 19\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 3*t = 0. Suppose t = -4*l + 31 + 149. What is the greatest common factor of 15 and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -118*x - 4081. Calculate z(-39).\nAnswer: 521","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 4*u + 1. Calculate s(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2501\/287 + -9 - 10\/14\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjqjjgmpqmqmpjd. What is prob of sequence jjdg?\nAnswer: 1\/1638","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 66439312 a multiple of 229?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 0.4, -3, 4, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 52\/171 and 71\/17404.\nAnswer: 156636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 2*p**3 + 2*p + 1. Let y = 52 - 36. Calculate the remainder when l(3) is divided by y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(3\/5))**(-7\/3))**34\/((k**0)**(-4\/15))**10 assuming k is positive.\nAnswer: k**(-238\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -173533336.6 plus 130?\nAnswer: -173533206.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 426 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i + 0*i**3 + 8*i**3 - 6*i**3 - 2*i.\nAnswer: 2*i**3 - 3*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 3727, 2032, -2569, -11528, -26297, -48328?\n\"Answer: -242*z**3 - z**2 + 2*z + 3968","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 + 136*y - 2942. Give l(27).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 1 + 0 - (27\/3 - 11). Suppose -3*r = t*k + 471, -5*k + 0*k = 2*r + 782. Do k and -156 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 11\/2 of a milligram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 57\/5 + -471\/40. What is the common denominator of 113\/40 and y?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8 + 1 + 1 + -5. Suppose 0 = 2*m + 1 - f. Suppose 2*t + 4 = -4*a, -m*a - 2 = 3*t - 0*a. Do 1\/21 and t have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6177*b**3 + 2 + 0 - 6250*b**3 as v*b**2 + a + u*b + h*b**3 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 172\/602 - (375\/(-7))\/5?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22 + 72. Let r = j + -53. Suppose -y + 1 = -r. What is the remainder when 122 is divided by y?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*h + h + 7*h - 2*h**2 in the form r*h**2 + p + c*h and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 13 + -7. Let y(k) = z*k - 2*k - k - k. Let s(n) = n**2. Determine s(y(t)).\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-20) - 2\/5. Suppose -4*t - 5 + 29 = s. Solve -x + t*x = 20 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/5)\/((-22)\/(-10)). Let i be (-9684)\/(-1345)*-1*4\/966. Let g = 2\/35 - i. Sort g, 5\/8, t in decreasing order.\nAnswer: 5\/8, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 3*j - 26119 = 0, 5*i - 11*j - 32640 = -16*j. Does 165 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10156, 20312, 30468, 40624?\n\"Answer: 10156*t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - -835?\nAnswer: 837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 7*a + 11. Let t be g(8). Let n = -49 - -45. Let w be (5\/1 - -1)*n\/(-3). Solve 0 = -5*q - 2 - t, 0 = 5*b - 3*q - w for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + (6 - (-1 - 3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from deddnddeednnneddddd. What is prob of picking 4 e?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - 38. Let w be (-1)\/((-71)\/m - 1). Calculate the highest common divisor of 8 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1091, -2592, -4503, -6824, -9555, -12696, -16247?\n\"Answer: -205*h**2 - 886*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -453754, -453746, -453738?\nAnswer: -453730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 3612, 3610, 3606, 3600, 3592?\n\"Answer: -l**2 + l + 3612","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 159201 + 1\/4*r**2 + 399*r.\nAnswer: (r + 798)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 419687, 0, -5 in ascending order.\nAnswer: -5, 0, 419687","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000261373656 rounded to 6 dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -17506 (base 8) to base 3.\nAnswer: -101222112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jw when two letters picked without replacement from {w: 3, j: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -0.1, -0.4, -7, 3 in descending order.\nAnswer: 3, 0.1, -0.1, -0.4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 5\/768 and -37\/1212?\nAnswer: 77568","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 147\/98 - 7\/(56\/(-220)) and 325.\nAnswer: 9425","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7 + (-8 - (-7 + 3)). Let d(w) = -w - 4*w + w + p*w. Let m(g) = -22*g**2. Determine m(d(k)).\nAnswer: -22*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 231338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -10\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -186*t = -190*t - 80. Let b be ((-36)\/15)\/(3\/t + 0). Solve -5*q - b = -3*g, -2*g - 3*g = -3*q for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-5)\/(-45)*1*0\/2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -x**3 + 4 - 2 - 69*x**2 + 12*x + 73*x**2. Let b be s(6). Solve 0 = -3*w - b - 7 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-186)\/310 - (((-168)\/(-10))\/7 - (-2 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1314 and 33.\nAnswer: 14454","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 38*a - 15*a - 851. Suppose a*g = 24 + 383. Solve z + 12 = -3*j, 4*j + g = -0*j - 3*z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-63)\/(-6) - (1 + 9).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 210*q**2 + 40*q + 295. Does 33 divide f(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67054 (base 9) to base 16.\nAnswer: ade6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 131 divide 120908?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 695103 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 3843756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = 9*q**2. Let t(p) = p**2 + 173*p + 23. Calculate t(c(r)).\nAnswer: 81*r**4 + 1557*r**2 + 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -p**3\/2 - 18*p - 1. Let g(w) be the first derivative of q(w). Let s(n) = 4 - n - 4. Determine s(g(o)).\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 603 = 157*g, 5*g - 36*o = -41*o - 45 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(36)\/(sqrt(60)\/(sqrt(5)*-2)).\nAnswer: -2*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 16934353?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (90\/(-4))\/3*(1 + 1). Let x be (8 + (-100)\/12)*g. Solve 6 = x*d + 11 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 2*j, -22 = 2*f - 4*f + 4*j. Suppose 2*h = -i + 13, 2*h - 27 = -3*h + 3*i. Suppose 6*r - 24 = h. Solve r*b - o = -0 - 2, 2*b = 5*o + f for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -299, -621, -943, -1265?\n\"Answer: -322*x + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-24)\/5 + 6)*55\/1. Calculate the greatest common factor of b and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*w - 11542 - 74692 + 6707 = 0. Is 1622 at least as big as w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15\/42*7732\/3866.\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8394 is divided by 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) 636 (c) -0.221\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 2247206?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -496 - -723. Let u = p + -148. Suppose -2*q - 4*m = m - u, q - 5*m = 32. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j**3 - 10*j**3 + 12*j**3)*(-2*j + 2*j + 4*j) + 26*j**4 + 67*j**4 - 207*j**4.\nAnswer: -82*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -258*g**3 + 2*g + 2. Let d be n(-1). Round d to the nearest ten.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 311, 5, -0.5, 3, 37 in ascending order.\nAnswer: -0.5, 3, 5, 37, 59, 311","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 3 - 11 = -r, 0 = -3*o + 4*r + 12. Suppose t - o*f - 107 = 0, 0*f - 415 = -4*t + 3*f. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of -7\/2*u**2 + 0*u + 6 - 4\/3*u**3. Let i(v) be the first derivative of v**3\/3 + v**2 - 31. What is 7*i(n) + 2*q(n)?\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.0409 - 2.9591. Which is the nearest to -6? (a) 5\/2 (b) 2 (c) -2 (d) o\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 757 (base 9) in base 12?\nAnswer: 437","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145864854 to the power of 1\/5, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 54, 105, 140, 153, 138, 89, 0?\nAnswer: -135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 17*u + 21. Let f be n(0). What is the second smallest value in -0.5, 3\/2, f?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14837072 or 44511220\/3?\nAnswer: 44511220\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, h: 5, g: 4}. Give prob of sequence hrg.\nAnswer: 4\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.152 - -0.052. Suppose -4*a + 9 = -3*v, 0 = 4*a + 14*v - 11*v + 9. What is the nearest to a in 2\/9, t, -0.2?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/9*5*-3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*q - 22 = -18*q. Let t(h) = h - 25. Let w be t(q). Which is bigger: -16 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11322112131 (base 4) in base 7?\nAnswer: -16113102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -61, 1.\nAnswer: -61, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 - 3 - 1 - 28*q**2 + 5.\nAnswer: -28*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 99425\/(-3395)*(-14)\/5 is divided by (-222)\/(-7) - 6\/(-21).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 165 - 151. What are the prime factors of 6914\/i + 40\/280?\nAnswer: 2, 13, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) 0 (b) -2 (c) 12 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -22*u**3 + 43*u**3 - 18*u**3. Let q(v) = 5*v**3. Let w be (-2 - -1)\/(3\/15). Determine w*q(m) + 8*i(m).\nAnswer: -m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32 + 0 + -26 + 3\/(-8)*(-324)\/(-21).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**3 + 5*p**2 + 4*p + 4. Let v be d(-4). Let t(l) = 9*l + 0*l**3 - l**3 + 5 - 10*l. Let h(w) = -w**2. Let j(y) = 4*h(y) - t(y). Calculate j(v).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6827 + -6823. Let c(n) be the first derivative of 7 - 1\/22*n**r + 0*n - 10\/33*n**3 + 6\/11*n**2. Find o, given that c(o) = 0.\nAnswer: -6, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 354*v**5 + 12*v**4 + 14*v**3 - 1935*v + 14. Let d(x) = x**4 + x**3 + x + 1. Let a(f) = -13*d(f) + t(f). Find the second derivative of a(j) wrt j.\nAnswer: 7080*j**3 - 12*j**2 + 6*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (-3 + 13 - 5) + -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7b006 (base 13) to base 5.\nAnswer: -24132400","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -10 * 274.\nAnswer: -2740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -774.45 - -795. Let x = -21 + l. Let z = -0.4500067 - x. What is z rounded to six dps?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -96 + (-86 + 59 - -42)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.96, -30672, 0.9 in decreasing order.\nAnswer: 0.96, 0.9, -30672","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 6433292596 a multiple of 10749?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 249609?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, -0.03, 2 in ascending order.\nAnswer: -16, -0.03, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1967 = -2*o - 5*i, o + 4*i - 2968 = -2*o. What is the tens digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -188, -423, -754?\nAnswer: -1181","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 295 at most as big as 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the first derivative of g**6\/180 - g**5\/60 - g**4\/6 + g**3\/3 + 2. Let x(c) be the third derivative of w(c). Find k, given that x(k) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 2*j**2 - 5. Let f be a(-5). Suppose 11*v = -f + 177. What is the least common multiple of 27 and v?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53924 and 65880.\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*q + 22097*q**2 + 893*q**3 - 3 - 22099*q**2 + 3 to the form j*q**3 + n*q + s*q**2 + g and give n.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 - -14. Suppose -25 = 4*g + 3*y, 3*y + 0*y - 11 = z*g. Put 4, g, -1 in descending order.\nAnswer: 4, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 332, 721, 1126, 1559, 2032, 2557, 3146?\n\"Answer: 2*v**3 - 4*v**2 + 387*v - 53","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 330*b**3 - 327*b**3 - 4*b + b as l*b + o*b**2 + r*b**3 + a and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1419 is divided by 142.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 448 = -135*u + 309*u - 142*u for u.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 11 - 6. Solve -n = -8*i + 3*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -2*l**3 - 5*l**2 - 3*l - 1. Determine u(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(125) + sqrt(125)*-1*-6)**2 - -2*sqrt(125)*-2) + 4 + 1)*1.\nAnswer: -80*sqrt(5) + 24505","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - q - 2 = 0. Suppose 0 = -q*i - 3*g + 48, -2*i + 24 = -5*g + 2*g. Suppose -18 = -21*m + i*m. What is the highest common divisor of m and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 5*q**2 + 5*q**2)*(-1 - 2 + 4) - 6*q**2 + 128*q - 128*q + 179*q**2 - 75*q**2 - 53*q**2.\nAnswer: 46*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3597932772*a + 1798966382*a + 2 + 1798966370*a.\nAnswer: -20*a + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 14) to base 5.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616794.\nAnswer: 2, 3, 17, 6047","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25870016?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 46*n. Let o(v) = 190*v + 5. What is o(p(f))?\nAnswer: 8740*f + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 45892 and 154.\nAnswer: 45892","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 23.911 + -24.211. What is the nearest to -2 in c, 0.2, 1\/8, -18?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1218081?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a millennium in years?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 34 + -108. Let i = 0.434161728 + 73.565854672. Let p = i + v. What is p rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u - c + 129 = 139, u = -2*c for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 - -6 - (-5 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26949 + 32657 = 2*m. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33403752 a multiple of 216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 275, 274, 277, 284, 295?\nAnswer: 310","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1056564 milliseconds to nanoseconds.\nAnswer: 105656.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.8 - -4.8. Let v = -13.9 + 14. Which is the nearest to v? (a) 3 (b) 2\/13 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -3*h**2 + 3. Let x(g) be the first derivative of -g**3\/3 + g + 1. Suppose 0 = -i - 3*u - 16, -2*u = -i - 0 - 1. What is i*x(n) + 2*j(n)?\nAnswer: n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*k - 4*w - 16, -2*k - 3*w = 7 + 5 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0 + 0.07. Let v(z) = -z**2 + z + 2. Let f be v(0). Let o = 0.1 + -0.4. Sort h, o, f in descending order.\nAnswer: f, h, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -d - 12. Solve d*a + 3 = 19 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 6 + 2)*(-2*v - v + 4*v) + (2 - 2 - 2)*(-4*v + 5*v + 0*v) + 2*v - 4*v - 2*v + 4*v - 4*v - 2*v)*(-1 + 1 + v)*(v - 3*v - v).\nAnswer: 30*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -6, 1\/3, -3, -0.071891, 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3.08 * 24791\nAnswer: -76356.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*l**2\/11 - 46875388*l\/11 + 15625130\/11.\nAnswer: -2*(l + 7812565)*(3*l - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1000213132 (base 4) to base 7\nAnswer: -2151430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k**3 + 5*k**2 - 7*k - 2. Let t(x) = x**2 + 11*x + 12. Let a be t(-10). Suppose -2*l + 26 + a = 0. Calculate the remainder when l is divided by g(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*(-1*sqrt(91) + sqrt(91)))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1232 divided by 22.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 23\/(-46)*9*16\/360. What is the third smallest value in 4, 0.1, 1, o, 51\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/7, 1, 0, 11 in ascending order.\nAnswer: 0, 2\/7, 1, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -125*s + 1982 + 238 + 1280 = 0. Suppose 2*x - 11 = 129. Calculate the highest common factor of s and x.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 - (-1 - 39)*(-88)\/(-20). Let j = 36 + -135. Let c = k + j. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j**2 - j**2 - 3*j**2 + (-1 + 2*j + 1)*(-2*j + 4*j - 4*j))*(-2*j - 3*j + 7*j).\nAnswer: -12*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (94*u**2 + 42*u**2 - 38*u**2)*(-3 - 3 + 5) to d*u**2 + z + s*u and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1166 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2830.5, 5, -6?\nAnswer: 2830.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -238 + 60 = 159*m - 973. Solve 5*b = 3*d - m*d - 5, -4*d = -20 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 - 30 = c for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -762233 to the nearest 1000.\nAnswer: -762000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2736 and 306.\nAnswer: 46512","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -405, -398, -391?\nAnswer: -384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13227 is divided by 18?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 550 + -552. Which is the closest to -1? (a) k (b) -5 (c) -4 (d) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12479*p + 137142 = -10073*p for p.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (5\/(-5))\/((-7)\/(-3)). Let d = -33.4 + 0.4. Let n = d - -39. Sort -3, m, n in ascending order.\nAnswer: -3, m, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 740.6344um in centimeters?\nAnswer: 0.07406344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:42 AM and 10:37 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.2 at most -3774408?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 2\/13 (b) -0.1 (c) 5 (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 462434.5 meters in millimeters?\nAnswer: 462434500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 390\/225*10\/(-2)*15\/(-50).\nAnswer: 13\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -46343 * 10.8.\nAnswer: -500504.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 6*z + 4)*(0 + 2 + 0)*(3 - 1 - 4).\nAnswer: -24*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/(-10) - (-6 - 728\/(-120)))*1. Factor -1\/6*o**2 + 0 + 1\/6*o**3 - l*o.\nAnswer: o*(o - 2)*(o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = 59*q**3 - q + 1. Let a be x(1). Let p = 61 - a. Solve 4*k - 4*d + 10 = -p*d, 4*k + 16 = -4*d for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 - -2. Let h(u) = 13*u + 3. Let s be h(-3). Let d be (-25)\/(-5) - s\/(-3). Sort z, -3, d in increasing order.\nAnswer: d, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -755 + -10759373409.7\nAnswer: -10759374164.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 4*h**2. Let x = 9 - 4. Let s(u) = 2*u + 2*u - x*u. Determine s(j(k)).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 0 (b) -1\/3 (c) -1\/28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = w + 9. Let z(f) = -4*f - 1. Let b be z(-2). Suppose b*g - w*g - 28 = 0. Solve 5*u = g + 8 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 6 = -3*t, t + 14 = -b - t. Let p be (-22)\/(-4) - b\/(-12). What is the units digit of 5\/(p\/(-2)) + 61?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27\/7 + 4. Let r = 2.06 - 0.06. Let y = r - 0. What is the nearest to 0 in -5, h, y?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 + -11 - (149 + -151))\/(-4). Let i be (18 - 3) + (-2)\/(-2). Sort k, -6, i in increasing order.\nAnswer: -6, k, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1344\/24*166\/4 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5709 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 2*c + 7. Let b(k) = 2*k + 6. Suppose 5*h = h + 12. Suppose h - 33 = 5*z. Determine z*l(v) + 7*b(v).\nAnswer: 2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of ((-5)\/2 - -1)*-1138?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1799 is divided by 755?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in thirty-one fifths of a meter?\nAnswer: 620","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -414990, -414959, -414932, -414909, -414890?\nAnswer: -414875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.527991 millennia in years?\nAnswer: 9527.991","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 2 p, and 1 e when four letters picked without replacement from {u: 1, p: 2, w: 1, e: 3}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 + 0)\/(-1 + 0). Let f(h) = 0*h**2 + t*h**2 + h**3 + 5*h**2 - 5 + h. List the prime factors of f(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c + 5. Let q be s(0). Suppose -765*n + 5 = -770*n. Sort n, q, 11 in increasing order.\nAnswer: n, q, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = x**2 + 8*x. Let u be v(-10). Let r = 10 - u. Let c be 3\/6 + r\/(-4). Solve -c*f + 0*w + 5*w - 18 = 0, 3*f - 3*w + 12 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -28777*k**6 + k**4 - 30*k**3 - 70*k**2 - 55*k + 126 wrt k?\nAnswer: -3453240*k**3 + 24*k - 180","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 + 4*a**2 - 4*a + 3. Let d = 26 - 24. Let c be h(d). Solve 3 = 3*v + c*f, -v + 3*f + 3 = -2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 102.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d - 56 = -0*d. Let n(k) = -11*k. Let q(g) be the first derivative of 0*g - 5 - 7\/2*g**2. What is d*q(j) + 5*n(j)?\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 80 and 29344.\nAnswer: 146720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -119, -0.1, 2.788 in ascending order.\nAnswer: -119, -0.1, 2.788","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1\/4*i**4 + 0*i + 0*i**2 - i**3 - 4. Find the third derivative of r(s) wrt s.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 55412 and 7231266.\nAnswer: 14462532","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 + 4. Suppose -g*z + 16 = 2*z. Suppose 3*r = 3*l, -30 = -l - l - z*r. Solve l = 6*d - d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(1\/2)*z**(-2\/27))**(2\/33) assuming z is positive.\nAnswer: z**(23\/891)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4 (b) 1 (c) -6239.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -10a (base 11) to base 16\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -11 + 10*l - 11*l + 2. What is the remainder when 9 is divided by u(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**3 + 4. Let j be d(5). What is j rounded to the nearest 10?\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5678 + -5675. Which is the closest to -19? (a) 0.24 (b) x (c) 1\/7 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 3138877?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}