diff --git "a/data/dm_maths/full_data_1/1806_11255.jsonl" "b/data/dm_maths/full_data_1/1806_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1806_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let i = 6.423 + 168.577. Which is bigger: 3 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + 0*p + p)*(6751*p**4 + 38159116*p**2 - 38159116*p**2).\nAnswer: 13502*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 334 divide 39058232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -4 - (7 + (-6)\/2). Let h be -2*(-6)\/i*-4. Find the third derivative of -8*z**4 - 6*z**2 - z**2 - 4*z**4 + h*z**2 wrt z.\nAnswer: -288*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 divided by -1523171\nAnswer: 1\/117167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = y, -62*r - 14 = -64*r - 2*y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 + 18*v**2 - 16*v - 5. Let d be p(17). Let q(i) = -19*i + d*i + 17*i - 22 - i**2. Let f be q(7). Put f, 1, -5 in increasing order.\nAnswer: -5, f, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(35) + sqrt(175)\/sqrt(5)*-2)\/(sqrt(7)*-2*5).\nAnswer: sqrt(5)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a*z**3 + 579568*a*z**2 - 1296087*a wrt z.\nAnswer: -9*a*z**2 + 1159136*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of -w**4\/4 - 2*w**3 - 3*w**2 - 2*w - 1. Let h be m(-5). Suppose -h*j + 7 = -2. Put 0, 1, j in descending order.\nAnswer: j, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f + 1. Let d be t(4). Suppose 55*r - 216 = 64*r. Find the common denominator of ((-3)\/r)\/(d\/(-172)) and 36\/5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 658477413?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m**2 + 14*m + 249. Let v(g) = g**2 + 4*g + 83. What is -3*s(x) + 8*v(x)?\nAnswer: -x**2 - 10*x - 83","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 137964*p**3 + 13368*p**2 - 6 wrt p.\nAnswer: 827784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -153*j + 157*j - 2 - 18 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, -46, -126, -258, -454?\nAnswer: -726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 162*d - 662933 = 2133349. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/603 and -62\/3?\nAnswer: 603","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2 + 0*n - 3\/2*n**2. Let g(y) = y + 60. Let k(b) = b + 70. Let s(o) = -7*g(o) + 6*k(o). Give c(s(q)).\nAnswer: 3*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1072 = 42*t + 190. Calculate the greatest common divisor of 1659 and t.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*q + 4*r - 8817, 5*r = -4*q + 11756. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 9*i - 21*i - 7*i + 32*i = 14, 14 = -x - 4*i for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(-3)*-1 + (-3 - 20\/6)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1*12\/(12\/3). Let c be (24\/18 - (-2)\/s) + 12. Suppose -2 - 2 = 4*q, 0 = -r - 2*q - c. Is -2\/7 >= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12 + 8)*(-5)\/180.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 8:58 AM?\nAnswer: 12:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(2*l**2 - 3*l**2 - l**2) - 2*l**2 + 4*l**2 - l**2 + (2*l - 3 + 3)*(2*l + 0*l - 3*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -315 - -144. Let y = h - -171.0111. What is y rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = -24*v + 166. Suppose v*o = -2*f + 68, 0 = 46*o - 43*o + 12. Solve f*m = 38*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/6)\/(f*f\/f**(-1\/5)*f*f*f))**42*((f*(f**(4\/9)*f)\/f*f)\/(f*f**(-1\/5)))\/(f*f**(1\/2)*f**4) assuming f is positive.\nAnswer: f**(-20633\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 17076978.92 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/9, -61\/7, 1190, -1\/2, -3?\nAnswer: -61\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 + (0 - 0) - 2?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a microsecond in nanoseconds?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 145792907 rounded to the nearest one hundred thousand?\nAnswer: 145800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.062303542.\nAnswer: -0.249214168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 147, -19, -3 in ascending order.\nAnswer: -19, -4, -3, 147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -16943 + -53.\nAnswer: -16996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 7:01 AM?\nAnswer: 10:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(32) + -2*sqrt(2) + 0 + 4.\nAnswer: 4 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 3\/7, -2708, 2, -1054, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 47888887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 40781 greater than 40781?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-236)\/(-28) + (-16 - -8)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -8 - -2*1\/(-2). Let o = t + 14. Let d(g) = -g**2 + 5*g + 2. Is d(o) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**3 + 5*h**2 - 2*h. Suppose 0 = -0*q - 2*q + 4. Let u be f(q). Let z(v) = 4 - v + 2*v + v**2 - u*v. Calculate z(5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 32*t**4\/5 - 8304*t**3\/5 + 12402*t**2\/5 - 4646*t\/5 + 516\/5 = 0. What is t?\nAnswer: 1\/4, 1, 258","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2313295?\nAnswer: 5, 462659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = -0*b - 8. Solve 2*v = 5*f - b, -v - 9 = -0*f - 5*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -96*b**4 - 202*b**3 + 157*b**2 + 132*b wrt b.\nAnswer: -2304*b - 1212","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 800883781 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 399?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2441 (base 5) in base 10?\nAnswer: -371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = -4*u + 200, 4*f = -3*u + 199 + 70. Let y = 259 + -257. Solve -y*m - 78 = -f for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30077495 to the power of 1\/2, to the nearest integer?\nAnswer: 5484","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (8\/(-12) - 0)\/((-4)\/7 - 63600\/(-1050))\nAnswer: -1\/90","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 2147*b**3 - 6*b**2 + 8*b + 14. Let m be w(11). Let q = 1622794191\/568 - m. Let i = q - -7\/71. Calculate the common denominator of -43\/6 and i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a year in months?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange j - 2*j**4 - j**3 - 7*j**2 + 3*j**4 - 2*j + 3*j**2 to the form b*j + p*j**3 + y + n*j**2 + z*j**4 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000685 rounded to 6 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yuuuyuuuyy. What is prob of picking 4 y?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1137 + -980?\nAnswer: -1ab7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 40, -0.3, 16, 5, -4\/3 in descending order.\nAnswer: 40, 16, 5, -0.3, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = -y - 2, 11*f - 72 = -19*f + 3*y. What is the biggest value in 2\/17, f, 2.94, -2?\nAnswer: 2.94","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 337.36355056 + -2.033\nAnswer: 335.33055056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxwx. What is prob of picking 3 x and 1 w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -167\/20358 and -109\/6264.\nAnswer: 81432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 261*d**5 + d**4 - d**3 + 430*d**2 - 6*d.\nAnswer: 15660*d**2 + 24*d - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34153 divided by 57.\nAnswer: -34153\/57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 86.69457 centuries to years.\nAnswer: 8669.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 268*f**6 - 26398*f**4 + 2*f**3 + 7085213*f**2 wrt f?\nAnswer: 32160*f**3 - 633552*f + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4 + 83584*r**3 - 1837396*r**2 + 10103016*r = 0 for r.\nAnswer: 0, 11, 20874","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 416 divide 683516253?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 5*r = -0*t + 9, 0 = 2*t + r - 3. Let j be 6\/(51\/45 + -1). What is the second derivative of -15*h**3 - 12*h**3 + t*h**3 - j*h wrt h?\nAnswer: -144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 396, 431, 520, 687, 956, 1351, 1896, 2615?\n\"Answer: 4*y**3 + 3*y**2 - 2*y + 391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 209441037?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 13385718?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 158396 and 154?\nAnswer: 1742356","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1385 and 37202762?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, 3, 132, -1 in increasing order.\nAnswer: -1, 3, 22, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 10795206 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1812 and 168818.\nAnswer: 1012908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 39870 - a85?\nAnswer: 38896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -10*z + 8. Suppose -z*s + 38 + 34 = 0. Suppose -q = 2*y + 3, 3*q - 7*q + s = -4*y. Solve 4*r = 3*t, -q*r + 0 + 3 = -3*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 2*z**2 + 2530*z - 2532 = 0.\nAnswer: -1266, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 8*y + 24. Let v(a) be the first derivative of a**3\/3 + 563. Calculate j(v(u)).\nAnswer: 8*u**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6596?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is (84 + 65)\/(2\/58) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -109\/2910 and -77\/6?\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 79129 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*y + 9*y - b + 5307 = 0, 0 = y + 3*b - 1777. Calculate the lowest common multiple of y and 520.\nAnswer: 8840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 2 = -0*r. Suppose a + 33 = -r*a. Let g(v) = -v**3 - 12*v**2 - 12*v + 4. Does 15 divide g(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 28, -74, -8 in ascending order.\nAnswer: -74, -8, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 32 = 2*z, -16 - 24 = -5*o + z. Calculate the smallest common multiple of o and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 0*w - 3*w + 0*w - 3*w. Let x(t) = 2*t**2. What is c(x(z))?\nAnswer: -12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 4*r - 62. Calculate g(25).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor i**4\/3 + 60673*i**3\/3 - 40450*i**2.\nAnswer: i**2*(i - 2)*(i + 60675)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6786203?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -243*c + 308 - 1651*c - 155 - 155.\nAnswer: -1894*c - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -282*y**3 + 1036*y**3 - 383*y**3 - 413*y**3 - 396*y**3 - 266*y**3.\nAnswer: -704*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 3 + -221?\nAnswer: -212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 4*w**2 + 33*w + 0 + 10*w.\nAnswer: -4*w**2 + 43*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/3 (b) 3.9 (c) 0 (d) -0.03 (e) 4.5 (f) 10 (g) -0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 543 + -543. What is the second derivative of -3*w - 1 + j*w + 76*w**2 + 11*w**2 - 13*w - w wrt w?\nAnswer: 174","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = u**3 - 8*u**2 + 7*u - 2. Let m(z) = -z**3 + z**2 + 2*z - 1. Let l be m(-2). Give v(l).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90*a - 22 = 2*h + 85*a, -5*h - 2*a + 32 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 n when two letters picked without replacement from hbnhhhb?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 13*u**2 + 5*u + 5. Let n(j) = 65*j**2 + 26*j + 26. Give -26*m(a) + 5*n(a).\nAnswer: -13*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wxppw. What is prob of picking 2 p?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - 1 + 5 = 0. Suppose d*t + 2*t = -24. Let u be 9\/(-6)*t\/9. Solve 0*k = -i - 2*k + u, 0 = -i - k for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 358 and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -40 + 608. Let i be (-4)\/3*(-71)\/j. Factor -2*z - 4\/3*z**2 + 1\/6*z**3 + 0 + i*z**4.\nAnswer: z*(z - 3)*(z + 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, -2, -0.4, -2\/11, 1\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 87 and 193229291.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(50))**2 - (-3 + (sqrt(7) - sqrt(28)\/sqrt(4))**2).\nAnswer: 82\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-5)\/((-12)\/(-8)*8\/(-12)). Which is the second biggest value? (a) 6\/11 (b) u (c) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 5924, 23017, 51520, 91439, 142780?\n\"Answer: b**3 + 5699*b**2 - 11*b + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7176.\nAnswer: 2, 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*y - 3153 - 527. Suppose 4*a - 130 = -2*q, 44 = 3*a - 2*q - 43. Suppose -27*w = -a*w + y. List the prime factors of w.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 296 minutes after 2:51 PM?\nAnswer: 7:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 78068*m**3*r**3 + 2*m**3 + 6*m + 11*r**4 + 467*r**2 - 367*r wrt r.\nAnswer: 468408*m**3 + 264*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 340630 is divided by 6811?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - 4\/2)\/(-3 - -4). Suppose 2*q + 36 = v*d, 2*d - q = 17 + 17. Is d a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2122?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 21097*v**2. Let x(f) = -2*f - 1. What is q(x(k))?\nAnswer: 84388*k**2 + 84388*k + 21097","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-114)\/(-5) + (-4)\/(-20). Suppose -4*x = -9 - u. Suppose -4*t = 3*z + 11, -4*z = -4*t - t - 37. Solve -5 = -z*g + x*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5 - 5 - 2 + 6 - 6 - 740*v to q*v + w and give q.\nAnswer: -740","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 27237 to the nearest integer?\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/69 and 17\/11.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*v + 26 = m - 26*v, -2*m + v = -52. Suppose 0 = -8*u + m*u - 2556. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6104*p**3 + 6111*p**3 - 12217*p**3.\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7 - -9. Suppose 5*w - 18 = -s, o*w = 2*s + 6*w - 42. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -337 - -174. Let y = i + 312. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 201 + 13134332?\nAnswer: 13140033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2022 is divided by 85?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 479916.\nAnswer: 2, 3, 13331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -4*x - 270, -4*g = -2*x + x - 85. Let n = -62 - x. Solve 3*i + 4*q - 11 = 0, -4*q + n*q - 26 = -5*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14587042 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z = -3*n - 4, 0*n - 2*n = 2*z + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h + 27. Let y be (13\/((-65)\/30))\/1. Let n be r(y). Solve -5*w + 2*w + n = 0 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 8*n**2 + 2*n**2 + n**2. Let u(z) be the second derivative of -z**4\/6 - 31*z. What is u(d(a))?\nAnswer: -242*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*g + 154 = -470. Let d = -4 - g. Suppose -h - 4*x = 8, -3*h + 3*x + 9 = 4*x. Calculate the lowest common multiple of d and h.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4277 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3263151173?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-12)\/16*24\/(-6). Let k be (-2 - -2)\/(-1) + -3. Put s, k, -1.3 in increasing order.\nAnswer: k, -1.3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 26 and 83831007.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is a - 2a?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.01075547 to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -297, -295, -297, -303?\n\"Answer: -2*u**2 + 8*u - 303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -38*t**2 + 7. Let c(p) = 84430*p. Give c(s(w)).\nAnswer: -3208340*w**2 + 591010","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -11*q**3 + q**2 - 2*q - 2. Let h be r(-1). Suppose -334*a - h = -340*a. Let 0*z + 1\/2*z**5 + 1\/2*z**4 + 3\/2*z**a - 5\/2*z**3 + 0 = 0. What is z?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*1\/2 + (-3)\/(-9)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -584.52 + 571. Let v = -0.23 - 12.77. Let g = v - q. What is g rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.20048 - -0.50048. Sort o, 23, 0 in increasing order.\nAnswer: 0, o, 23","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**7*q)\/q*q**(2\/5))\/(q**(1\/4)\/q)**(-2\/71)*q**(1\/2)*q**6*q**(2\/23)*q**(-2\/9) assuming q is positive.\nAnswer: q**(1083434\/73485)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 2000*u. Let r be 3\/(-3) - (1 - -1). Let q be 1\/(r\/(-15))*1. Let d be p(q). Round d to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3207554.\nAnswer: 2, 7, 197, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -0.1 (b) 65 (c) 0 (d) -3 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 124.55 to the nearest integer.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 + 78.\nAnswer: 78.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 104058.457 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1200003212 (base 4) to base 10\nAnswer: 393446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eebeeeteeee. Give prob of picking 1 t and 1 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.64 - -0.34. What is the second smallest value in 2, -3, 4\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174211927 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.47294064 rounded to 4 dps?\nAnswer: -1.4729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -44569 + 133708\/3. Let h(w) be the third derivative of -w**2 + l*w**5 + 10\/3*w**3 + 0*w - 19 + 85\/24*w**4. Determine p so that h(p) = 0.\nAnswer: -4, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 1. Suppose o + 4 = 2*o. Let a be f(o). Suppose -21 = -3*h + 3*k, 5*k + 15 + 0 = -a*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.716 times -46254?\nAnswer: 33117.864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 11) in base 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-13)\/(78\/54) - (8 - 1369). Calculate the highest common factor of k and 208.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39375.\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 0 + 1)*(0 + 3 + 5)*(-2*i - 7*i + 3*i) to the form l*i + g and give l.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8\/6)\/((-3)\/9). Let o be ((-1)\/(-2))\/((-2)\/g). Let j be (-4)\/(-8) + 60\/(-8). Sort j, -5, o in descending order.\nAnswer: o, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 62889146 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 100001101 (base 2) in base 4?\nAnswer: 10031","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (5967\/(-5525))\/(9\/20).\nAnswer: -12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (7\/2)\/(-2*3\/(-12))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**3 - 4*b**2 + 4*b. Let l be v(-5). Suppose -3*s = -w + 6, w - l*w + 24 = -4*s. Let d = w + 0. List the prime factors of d.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11551986 at least -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -ba32 (base 12) in base 8?\nAnswer: -50006","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 511*r - 2390 = -267*r + 12392 for r.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.5 (b) 2\/225 (c) 4 (d) -4\/463\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5641 + 28419. Is t a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*m + 6 = 40*m. Let u(w) = -7*w**3 + w. Calculate u(m).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-6)\/(-3))\/8)\/(10\/(-60))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 69517?\nAnswer: 7, 9931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwhwgwhgcwdgwwhwu. What is prob of picking 1 u and 1 w?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r - 9, 31*k + 4*r = 27*k - 28 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = 3*s - 2*s + 1, 0 = 2*s + 3*t - 63. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.09? (a) -5 (b) 5 (c) 1.7 (d) 202\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 v when two letters picked without replacement from {k: 2, v: 11}.\nAnswer: 11\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 10a60 - 7?\nAnswer: 10a55","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 2639.08km?\nAnswer: 2639080000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, o: 1, f: 7}. Give prob of picking 2 t.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 + 4 - 2 + 0 + 171*x**2 + 0 as a + l*x + j*x**2 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the second derivative of -t**5\/5 - t**4\/2 - t**3\/3 + t**2\/2 - 7*t. Suppose 0 = -0*f + 5*f + 30. Let q(w) = -w**3 - w**2. What is f*q(k) + s(k)?\nAnswer: 2*k**3 - 2*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 61 + 176 + (-120 - 19).\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 4*h + 64. Let c be q(-8). Calculate the remainder when 29 is divided by (-7)\/56 + 68\/c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14045 - 35*i**3 - 14047 + 42139 - 14047 + 2*i.\nAnswer: -35*i**3 + 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -10*h**3 + h**2 + 2*h + 1. Determine d(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-12)*0)\/(-1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 v when two letters picked without replacement from ruarrryyavaay.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -2 (b) 29 (c) 0.01 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i. Let x(u) = 2*u**3 + u**2 + 2*u + 6. Give -2*d(a) - x(a).\nAnswer: -2*a**3 - a**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.03 + -2.97. Let y = i - -2.99999948. What is y rounded to seven decimal places?\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 - 9*w**2 + 2*w + 28. Suppose 0 = 4*z - r - 23 - 22, -33 = -2*z - 3*r. List the prime factors of c(z).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.2 (b) 63 (c) 2 (d) -1.9 (e) 10.7 (f) 3\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p + 8. Let f be m(8). Suppose 2*k + 10 = f, -2*s + k = -k - 14. Factor 0*h**2 - h + 0*h**2 + s*h + h**2.\nAnswer: h*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/2*1\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from {d: 2, f: 6, o: 3, e: 2}?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(1\/9))**(3\/5)*(y**(1\/6))**30 assuming y is positive.\nAnswer: y**(76\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d. Let a(b) = 765*b**2 - 1. Calculate a(v(w)).\nAnswer: 3060*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 0*y + 11*y - 2*y - 4 - 4*y. Let p be w(8). Calculate the common denominator of 43\/20 and 3*((-298)\/p + 0).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-200)\/(-180)*1*24\/20)\/((-2)\/21)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q - 3*m = 15639063, 0*m - 1042579 = -q - 4*m. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -12504952.62 rounded to the nearest ten thousand?\nAnswer: -12500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -213705360 divided by -431728.\nAnswer: 495","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*w - 3*w - 33. Let b be (-4)\/12*33*1. Let i = w - b. Put -1, i, -4 in ascending order.\nAnswer: -4, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**2 - 11. Calculate r(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -21?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 divided by 60?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1345 - 2b?\nAnswer: 1316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of -s**4\/12 + 7*s**3\/6 - 7*s**2\/2 + 1890*s. Calculate z(8).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.49 - 6.39. Let u be (-2)\/8 + 1\/12. Let s = 5.1136 + -0.1136. Which is the fourth biggest value? (a) s (b) 4 (c) v (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 796 = -706 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of -1\/6*o**7 + 0*o**4 + 0 + 0*o**6 + 0*o**2 + 0*o**5 - 2\/3*o**3 - 3*o. Find the second derivative of w(i) wrt i.\nAnswer: -140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x**2 - 7*x + 33. Let i = 160 - 153. What are the prime factors of l(i)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4752662448.1 + 7.\nAnswer: 4752662455.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 101 = -4*o, 4*o = 2*o - 5*q + 43. Let z = -20 + o. Suppose -15 = -z*d + 4*l + 9, l = -2*d + 3. What is the third biggest value in d, 1\/3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 126754286*s + 126754284.\nAnswer: 2*(s - 63377142)*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 292842?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 1, k: 2, v: 3, o: 1}. Give prob of picking 1 k, 1 v, and 1 o.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - 4*y + 6 = -0*a, -3*y = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 9.593159mm?\nAnswer: 9593159","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*n - 5*n + 3*n)*(-117*n - 54*n**2 + 117*n) + (n + 0*n - 2*n)*(-5*n**2 + 2*n**2 + 2*n**2).\nAnswer: 325*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*j**2*l**2 + 229451*j**2*l - 83*l**2 - 3*l - 56 wrt j?\nAnswer: -4*j*l**2 + 458902*j*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 360.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = -k**2 + 16*k - 69. Determine s(9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 171 and 20634?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*o - 3 + 3)*(-o**4 + 5*o**4 - 3*o**4) - 2*o**4 + 3*o**5 + 2*o**4 - o**5 - 5*o**5 + 4*o**5)*(-4 - 1 + 6).\nAnswer: -o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10 + -5. Solve -4*q + 7 = 5*d, 0 = -i*q + d - 10 - 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 94245623 is divided by 625.\nAnswer: 623","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4, -3089 in decreasing order.\nAnswer: 1, -4, -3089","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - 12*i**2 + 26*i - 13. Let o be g(-14). What is the greatest common divisor of 105 and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -2*p**2 + 2*p - 3. Let h(w) = 2*w + 11. Let a be h(-4). Let f(i) = -2 + 2 - 2 + a. Give 4*f(u) + q(u).\nAnswer: -2*u**2 + 2*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = v - 23. List the prime factors of v.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 * 0.081.\nAnswer: 0.405","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -3*x**2 - 108*x - 102. Let m be s(-35). Solve 0 = -3*h + 9, -m*h - 21 = 4*q - 6*h for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 808108 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 - (82 - 27 - 86)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -12\/649?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**4)**30*(k\/(k**5\/k*k))**(1\/8))**31 assuming k is positive.\nAnswer: k**(7409\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 480*u - d = 484*u - 26169, 0 = u + 4*d - 6546. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 9*g - 18. Let m(u) = 53 + u**2 - 53. Let i(b) = d(b) + 2*m(b). What are the prime factors of i(-8)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -584 at most -743?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (0 + sqrt(99))*4 + (2 + (sqrt(11) + sqrt(11)*3)**2 + sqrt(11) - -3*sqrt(539)).\nAnswer: 34*sqrt(11) + 173","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(0 + sqrt(2) + sqrt(2)*3 + -1)**2 + sqrt(10)\/((2*sqrt(320) - sqrt(320)) + sqrt(5))*-3.\nAnswer: -132 + 95*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 71 + -35?\nAnswer: 3b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f - 4 = -0*t - t, -3*f - 19 = 2*t for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.21000045 + -0.21. What is q rounded to seven dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -385*q - 261*q - 7394 = -288 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 176123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -7*i - 15. Let w be a(-6). Let p(x) = -w*x + 47*x - 23*x + x**3. Let b(s) = -3*s**3 + 6*s. What is 3*b(h) + 7*p(h)?\nAnswer: -2*h**3 - 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 813208181?\nAnswer: 813208181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-524)\/(-54)*(-18)\/(-132). Let q = d - 17\/11. Let a = -0.3 - -0.2. Sort 0.2, q, a in increasing order.\nAnswer: q, a, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 51 = -25. Let p = 23 + a. Let r be (16\/p)\/(4*(-2)\/(-20)). Solve -r*m + 22 = 2*y, m - 14 = -4*y - m for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 7.7 + -8. Let s(t) = t**3 + 5*t**2 + 8*t + 5. Suppose -6*p - 10 = 8. Let x be s(p). Which is the second biggest value? (a) x (b) i (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 2, s: 3, w: 1, c: 1}. Give prob of picking 1 c, 1 p, and 1 w.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 2 and -21.237?\nAnswer: 23.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -208, -35, 1, 14, -2.\nAnswer: -208, -35, -2, 1, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268796 is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/65517626 and 55\/393105756?\nAnswer: 393105756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l*r**2*s**2 - 4*l*r**2*s - l*r*s**3 - 2*l*r*s**2 - 1060*l*r + 9819830*r**2*s**3 - 666*r**2*s**2 - 2*r wrt s?\nAnswer: -6*l*r + 58918980*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(55)\/((sqrt(55)*-1)\/sqrt(11)) - ((sqrt(275) + 0)**2 + 2 + sqrt(99))) + 5)*6.\nAnswer: -1632 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1590383 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = 10*t - 17. Let x(y) = 28*y - 50. Let a(o) = 11*q(o) - 4*x(o). Give a(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 2473556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1007\/1805 + (-24)\/60?\nAnswer: 3\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*b - 36*b - 62*b - 4*b**2 + b**2 - 8*b.\nAnswer: -3*b**2 - 101*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4650674us in milliseconds?\nAnswer: 0.0004650674","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3064 and 1915?\nAnswer: 15320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1703783 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from irststtruuistttrtp. Give prob of sequence tsi.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*b**2 - 46323*b + 1159950.\nAnswer: -3*(b - 25)*(b + 15466)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.0186, 4.3?\nAnswer: 4.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 3*b**2 + 3*b - 2. Let w be z(4). Suppose 0*i - 4*i + 8 = 0. Suppose w = 5*s - i*k - 64, s = 4*k. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.21 (b) -0.4 (c) -5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2682)\/(-298) + 141\/(-20) + -4 + 2?\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/1 + -9 + 6*(-18)\/(-36).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 0 - 1 - (7 - 10). Suppose x*b - 5*b = 21. Let p(l) = l**3 + 12*l**2 + 13*l - 3. Is 45 a factor of p(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 12414 + -12489. Which is smaller: -17 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j - 3 - 4*j + 1)*(269354 + 16354*j - 269354).\nAnswer: -32708*j**2 - 32708*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2 - 0. Suppose -t = 2*t - 3. Let a = t + k. Does 2 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 5*s = -28800. Let h = 4570 + s. Suppose 20*i - h = 10*i. What is the highest common divisor of i and 31?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -c**3*v + 4*c**3 - 878*c*v + 184*c + v**3 wrt v?\nAnswer: -c**3 - 878*c + 3*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -21369, -41162, -60955, -80748?\nAnswer: -100541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i = 5*k - 31, -2*k + 23*i = 19*i - 16. Solve o = -o + k for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 f when two letters picked without replacement from zbifu?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -460*b**3 + 27*b**2 - 31*b - 10. Give i(1).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21367.16 rounded to the nearest 10?\nAnswer: 21370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the third derivative of c**6\/120 - 2*c**5\/15 + c**4\/3 + c**3\/2 - 8*c**2. What is the tens digit of q(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246239 is divided by 50?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4 - -65. Suppose -9*h - 24 = -s. Solve w - 2 = -h for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -77 + -12?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.78368nm to kilometers.\nAnswer: 0.00000000004078368","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 462653 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11325, -11326, -11327, -11328, -11329, -11330?\nAnswer: -11331","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 5*n = -6, -5*v + v - 2*n + 20 = 0. Let s be v\/1 - 1*-61. Calculate the greatest common divisor of s and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -365728 * -55.\nAnswer: 20115040","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -15\/7 or -622\/1153?\nAnswer: -622\/1153","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*j**3 + 6*j - 2*j**3 - 29*j**2 + 56*j**2 - 29*j**2 to i*j + v*j**2 + y + s*j**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1 + 0)\/(2\/(-4)). Let p(i) = -i**2 + 7*i - 9. Let t be p(7). Let q be 3\/2*(-24)\/t. Solve -5*j = q*v + v, j - r*v = -3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = -4 - 3*h**3 + 0*h**3 + 29*h**2 + 4*h**3 - 24*h**2. Suppose -t + 3 - 13 = -5*b, -t + b = 6. Determine d(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/j**19)\/(j*j*(j*(j**(9\/4)*j)\/j*j)\/j*j))**(-13) assuming j is positive.\nAnswer: j**(1261\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/2599 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4541?\nAnswer: 19, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -6 (b) -0.2 (c) 2\/3 (d) 0.028 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.9379431ml?\nAnswer: 0.0009379431","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the first derivative of 0*g + 157 + 0*g**2 - 1\/9*g**6 + 0*g**3 + 0*g**4 + 22\/15*g**5. Find d such that t(d) = 0.\nAnswer: 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4315185?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 737 is divided by 28?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 55000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4690645, 9381283, 14071921, 18762559, 23453197?\nAnswer: 28143835","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43503447?\nAnswer: 3, 13, 31, 35983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(36)\/sqrt(24))\/((5*sqrt(192) - sqrt(192))*-2).\nAnswer: -3*sqrt(2)\/128","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/84 and 83\/728.\nAnswer: 2184","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 230787681*t**3*v*x**3 + 2*t**3*v*x**2 + 12*t**3*x - 23*t*v*x**2 - 4*v*x - 197*x wrt x?\nAnswer: 1384726086*t**3*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104611 is divided by 794.\nAnswer: 597","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(343))*-3.\nAnswer: -21*sqrt(7) - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 109780 and 3992.\nAnswer: 219560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.04*424784\nAnswer: -16991.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -93 + 240. Suppose -k = b - 4*b. Does 7 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15 + 1718*t**3 - 15.\nAnswer: 1718*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 * 110090766\nAnswer: 22018153.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -10*i**3 + 1308*i**2 + 5671*i - 138. Determine v(135).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3115 divided by -4\nAnswer: 3115\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + k = 3, -z + 6*k + 14 = 2*k. Suppose -4*n + z*c = -2*n - 34, 2*n = -2*c + 26. Calculate the highest common factor of n and 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 771621?\nAnswer: -3086484","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = 3*p - 2957, -2*p - 3960 = -6*p + n. Is p composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 180788833 and 13569.\nAnswer: 4523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, b: 1}. Give prob of picking 2 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 911070 and 19035?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -18*g**3 + 14*g**2 - 2*g + 7. Suppose 45 = -24*f - 99. Is k(f) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18 + 3091*m - 10 + 3 - 11 to the form u*m + h and give u.\nAnswer: 3091","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-16)\/(-6) - (-1)\/3. Suppose q*n - 470 = 265. Suppose 0*b = -5*b + n. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10217653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 561 + 1008*q**2 - 561 + 131*q**2 + 632*q**4 - 3*q**3 wrt q?\nAnswer: 15168*q - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) be the third derivative of -s**5\/60 + 13*s**4\/24 + s**3\/3 - s**2 - s. Let b be p(13). Let w(l) = 0 + 0*l**2 - l**3 + 1 + 3*l**2. Give w(b).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 less than -136742.668?\nAnswer: -136742.468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*y = 5*y + 672. Suppose y = 10*d - 32. Solve 3*r + 0 + d = 0, 3*r - 3 = -3*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -3 (c) -0.2 (d) 7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dii when three letters picked without replacement from iiidid?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*t + 274 = -158*t + 59*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s = 22*k - 90, 151 = 2*k + 4*s + 55 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(0 + -1*sqrt(12) + 3).\nAnswer: -18 + 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16314 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 742*c + 741*c + 737*c - 15*c**2 - 2220*c.\nAnswer: -15*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g + 6 = -15 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 31\/2 of a kilogram in grams?\nAnswer: 15500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 128 + j**3 - 3*j - 63 - 64. What is c(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15007 is divided by 4986?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 4*x**2 + 24*x. Suppose -96 = 13*s - 9*s. Let n(i) = -i. Determine s*n(m) - o(m).\nAnswer: -4*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4994, -19991, -44984, -79973, -124958, -179939, -244916?\nAnswer: -319889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3582726 to the nearest integer?\nAnswer: 1893","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 6 + -6. Let b(n) = 356 + 379 - 750 - n. Determine b(y).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 5, y: 7, g: 1, e: 1}. Give prob of sequence uyeu.\nAnswer: 5\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the third derivative of 0*l - 1\/8*l**4 + 0*l**5 - 5*l**2 + 1\/40*l**6 + 0 + 0*l**3. Find the second derivative of s(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -u - 2, 2*u = -j - 0*j + 5. Let a be (6\/(-9))\/(u\/(-18)). Are 3 and a unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 440664?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 38550?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -185.507 plus -0.102?\nAnswer: -185.609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (4 + -4)*1\/(-1). Suppose -5*d + 35 = 5*z - 0*z, d + 2*z - 8 = f. What is the smallest common multiple of d and 20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47 = 5*l + 2*r, -l + 3*r = l + 15. Let f = l - -14. What is the least common multiple of f and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001011 rounded to 7 decimal places?\nAnswer: 0.0000101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -22468\/181 or -123?\nAnswer: -123","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*s = -1297 - 68. What is the tens digit of s?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1196122 to the power of 1\/3, to the nearest integer?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 7*v. Suppose 0*m - 5*m + 45 = 0. Let o be i(m). Does 4 divide o\/15 + (-2)\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 617592281.\nAnswer: 617592281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - w. Let a(y) = 7*y**2 + 4*y + 5. Let s(h) = a(h) + 4*m(h). What is the first derivative of s(c) wrt c?\nAnswer: 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to -28\/231019?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/40*52\/(-429)?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + g = -0*g - 37, 0 = -2*p - 2*g + 22. Does 27 divide -3 - (-61 - p\/(-2))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 283658470 at most 283658471?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 4 - 2. Suppose -4*c + 28 = -0*c - 4*t, -3*c = t - 5. Let p(u) = -4*u**2 + 5*u**c + 6*u**2 - 3*u + 2 - 6*u**3. Determine p(l).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 389081, 389067, 389053, 389039, 389025?\n\"Answer: -14*j + 389095","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: What is -0.205891731835 - -1?\nAnswer: 0.794108268165","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -3*j + 6. Let h be q(5). Let w(n) = 3*n**2 + 2*n - 2. What is the remainder when 3 - 3\/(h\/21) is divided by w(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, 295.\nAnswer: 2, 5, 295","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 21740, 9971, -1798, -13567?\nAnswer: -25336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 101521 is divided by 33683?\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*z - 20 = 0, -8 = 3*n - 6*z + 2*z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 69\/(-12) + 4 - -1. Let f = -0.55 + 0.55. Which is the closest to f? (a) -3 (b) -2 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l + l**3 + l)*(-2*l - 2*l + 2*l) - 4426*l**4 + 2633*l**4 + 3012*l**4.\nAnswer: 1217*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 23*l**3 + 27*l**2 + 7*l + 7. Let x(z) = -22*z**3 - 29*z**2 - 6*z - 6. Let k(g) = -6*f(g) - 7*x(g). What is the third derivative of k(j) wrt j?\nAnswer: 96","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b + 1. Let k(r) = -3*r + 6. Let d(n) = n**3 - n - 1. Let s be d(0). Calculate s*k(i) + 6*x(i).\nAnswer: -3*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*q**4 - 240*q + 240*q + (3*q + 3*q + 2*q)*(7*q**2 + 6*q**3 - 7*q**2).\nAnswer: 59*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 - -76. Suppose n*x = 63*x - 12. Solve p + x*o + 15 = 0, 5*p - 2*o - 1 + 16 = 0 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*o + 1662 = 9551. Does 5 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18872, 37738, 56606, 75476, 94348, 113222?\nAnswer: 132098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.57 - 0.43. What is the closest to a in 1\/3, -3, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes after 12:21 AM?\nAnswer: 4:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2470 is divided by 1103?\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.44 - 0.04. Let g = 3.4 - p. Which is the smallest value? (a) g (b) -0.3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2758 and 1232.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 818900 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in fourty-one halves of a century?\nAnswer: 2050","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 2*p**3\/3 - 16*p**2 + 46*p\/3 = 0.\nAnswer: 0, 1, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 2\/3 (b) -6 (c) 0.1 (d) 14 (e) 1\/2 (f) -3\/775 (g) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, c: 5, m: 5}. Give prob of sequence xm.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 146466\/40685*4\/((-16)\/50)?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is eight thirds of a week in hours?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -16 - -18. Suppose -m + c = -1. Solve -4*l + m*u = 19, 0 = -2*l - 0*u + 2*u - 12 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.3 + -1.3. Suppose -5*j + 2*x = -4*j - 4, -3*x + 1 = 2*j. Which is the closest to 2? (a) 1 (b) q (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.14 + 0.06. Let u = 2.8 + d. Which is the nearest to 4\/3? (a) 2\/3 (b) -0.5 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + -16. Let c = -1 + 1.11. Let q = c + 3.89. What is the nearest to h in q, 0, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*l**4\/7 - 2480*l**3\/7 - 261672*l**2\/7 + 576208*l - 2078860 = 0. What is l?\nAnswer: -479, -155, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-2\/5)*(v**(-1\/5)\/v*v*v)\/v)\/((v*v**2*v)\/v*(v\/((v*v**(-5))\/v*v*v))\/v) assuming v is positive.\nAnswer: v**(-24\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 - -10.6. Let o = i - 0.6. Let u = -0.259 + 0.159. What is the closest to -1\/6 in 4, o, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 7872 and 688?\nAnswer: 338496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 1934.12.\nAnswer: 1934.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1 = 4*g + 2*k + 1, 0 = 4*g + 5*k + 5 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*w - 34*w - 64*w in the form i + b*w and give b.\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 3007475 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1237 is divided by 138?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -5 (b) 5 (c) 239529.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 160.8 (b) 0.1 (c) -8\/29 (d) -18 (e) -1 (f) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -0.768. Which is bigger: z or -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 224 + -770?\nAnswer: -547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2 + 8\/(-6))*30. Let x be (8\/(-10))\/((-8)\/l). Do 2 and x have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 13603205 to the nearest integer?\nAnswer: 239","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 1?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -56392 divided by 19\nAnswer: -2968","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*n + 28*n + 12*n**2 - 61*n.\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -841 + 0*s + 2*s - 183 + 975.\nAnswer: 2*s - 49","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (n - 2*n + 0*n)*((3 + 0 - 5)*(-16*n**2 + 4*n**2 + 5*n**2) - 46 + 3*n**2 + 46) as w*n**2 + r + a*n + v*n**3 and give v.\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-102)\/12)\/(-17))\/(-1)*16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 72.2297111 - 72.23. What is z rounded to five decimal places?\nAnswer: -0.00029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.066 * 50.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.051734mm?\nAnswer: 0.000000051734","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 103 divided by -168798?\nAnswer: -103\/168798","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 + 19 = d, -4*s - 4*d + 4 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2958 is divided by 148.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssss. What is prob of sequence ss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*i + 18*i + 17*i + 11*i.\nAnswer: 40*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*f**2 + 17*f**2 + 22*f**2 - 10*f**2)*(-f + f + 4*f) - 2 + 2 + f**3.\nAnswer: 85*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -542250.247 rounded to the nearest one hundred?\nAnswer: -542300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**2 - 7201487*g + 7201487*g.\nAnswer: -g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 922171 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -914 divided by -2.\nAnswer: 457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(143) + sqrt(143) + sqrt(143))*-3)\/(sqrt(11) + sqrt(1375)\/sqrt(5)))**2 + 6*(sqrt(26)\/sqrt(2) + 0 - ((sqrt(13) + -1)*-4 - sqrt(13)))**2.\nAnswer: -288*sqrt(13) + 11733\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = 4*v + 9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130 (base 6) to base 11.\nAnswer: 4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7166420 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -287 (b) -1.31 (c) -0.41\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/20 and 83\/54.\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002268533446 rounded to 7 dps?\nAnswer: -0.0000227","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**2\/19 - 164*w\/19 - 1056\/19.\nAnswer: 2*(w - 88)*(w + 6)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 80849 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5.33 * -404.4.\nAnswer: 2155.452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 4, 4*y + 2*t + 7 - 1 = -t for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 + 5 = 2*r - 4*w, 5*w = 0. Suppose 36*j = 33*j + 18. What is the remainder when r is divided by j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60 a factor of 65280?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*z - 189 = -5*g, -5*g + 5*z = -240. Suppose -6*d + 12*d - 156 = 0. What is the remainder when g is divided by d?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 s when two letters picked without replacement from {v: 2, s: 2}.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 1721952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = y**3 - 25*y**2 + 123*y + 4. Let x be k(6). Let b = 29 - 59. Let v = b + x. Solve 6*c - 3*r = c - 10, -5*r = 3*c - v for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = -34*d**2 - 232*d + 736. What is x(-8)?\nAnswer: 416","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/4, 0.5, 0.1, -5, 1.93 in increasing order.\nAnswer: -5, 0.1, 1\/4, 0.5, 1.93","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three fifths of a centimeter?\nAnswer: 6000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 10\/(0 - (-4)\/(-4)). Suppose 2*p + 54 = 4*q, 0 = q - 0*q + 2*p - 21. Let o = h + q. Solve 5*d = -0*c - o*c - 20, -2*d + 4*c + 22 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -j**3 + 10*j**2 + 2*j - 17. Give g(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 376 and 3.\nAnswer: 1128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (78 - 0) + (83 - 173) + 77?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 51*v**2 + 38*v**2 - 96*v**2.\nAnswer: -7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*m**3*x + 156*m**3 + 37*m**2*x**3 wrt x.\nAnswer: 2*m**3 + 111*m**2*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 121 - 203. Let m = j + 274. What is the highest common factor of 12 and m?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(f\/(f*f*(f\/((f**(1\/5)\/f)\/f))\/f*f*f))*f*f*f**3)\/(f**(-1\/30)\/f)**(-7) assuming f is positive.\nAnswer: f**(107\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 49.27481 kilometers to millimeters.\nAnswer: 49274810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(0 - 171))\/((-2)\/20*-2)?\nAnswer: -5\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*i - 2*b - 1542 = 29*i, 0 = -4*i + b + 6147. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 - 1258473?\nAnswer: -1258473.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1 + 1 + 0\/7. Suppose 2*v - 2 = 5*h, 2*h - l*v = -5 + 3. Let m(r) = h*r - r**2 - 2 + 4*r - 1. What is m(4)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (((sqrt(5) - (4 + sqrt(5)))*-3)**2 - sqrt(5)) - (sqrt(6655) - 3*sqrt(6655))\/sqrt(11).\nAnswer: 21*sqrt(5) + 148","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g + 2 - 2)*(2*g**2 + g**2 - 4*g**2)*(-86075*g + 834*g**2 + 86075*g).\nAnswer: -834*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1276)\/(-1218) + 1\/(28\/8)?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -6*f**2*h*q**2*w**2 - 22*f**2*h*q + 19*f*h*q**2*w**2 - 2*f*h*w**2 + 2*f*q**2*w + 2*h*q**2*w**2 - 4*q**2*w**2 wrt f.\nAnswer: -12*h*q**2*w**2 - 44*h*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 100745\/7 + -14392. Which is the biggest value? (a) -0.001 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-6 - -5)\/(1\/(-2)). Suppose 0*z = -n*z + 228. What are the prime factors of z\/27 - 2\/9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9100?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101011101001 - -1?\nAnswer: 1101011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1650983\/30 - 55038. Calculate the common denominator of (-192)\/81 - 6\/(-9) and j.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -190621 = -64*m - 9*m + 56338. Is 2 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 + 20. Let f = p - 12. Suppose -2*n - f = -282. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the third derivative of g**7\/840 - 13*g**6\/24 + 845*g**5\/12 + 34*g**2 - 25*g. Factor n(v).\nAnswer: v**2*(v - 130)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5358, 21471, 48320, 85899, 134202, 193223?\nAnswer: 262956","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*u**3 + 12*u**3 + 27*u**3.\nAnswer: 22*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 567 and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o - 3*w = -2565, 0 = 3*o - 2*w + 2815 - 251. Let l be 3\/o*(-192305)\/(-90). Let v = l + -33\/427. Calculate the common denominator of v and -83\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 28537?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-271)\/(-2))\/((-11)\/(-22)). Suppose 4*i + 2*l - 139 = 221, 3*i + l = g. Calculate the highest common factor of i and 13.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - 1)\/(-2))\/(-1). Let c(p) = p**2 - 4*p - 1. Let o be c(5). Suppose t = o*n - 3*n - 15. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 977896?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9 + 6)*(224\/(-6))\/4. Suppose -2*o - 5*s + s = -x, 3*s = -4*o + 76. Calculate the least common multiple of o and ((-30)\/(-9))\/(2\/6).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 - 2*w + 1. Let b be s(2). Let y be ((-2)\/(-6))\/((-3)\/(-9)). What are the prime factors of b*18 + y + -4?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 3*s - 9. Let y = -19 + 23. Let f(o) = -2*o + 9. Let r(n) = y*f(n) + 3*l(n). What is the smallest common multiple of r(9) and 26?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 e when two letters picked without replacement from {e: 8, y: 5}.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the first derivative of -2*s**3\/3 + 3*s**2\/2 - 3*s - 1. Let x be k(2). Let f be -2*2*x*1. Calculate the highest common divisor of f and 50.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -24, -70.\nAnswer: -70, -24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 33680296*d**2 + 987594 wrt d.\nAnswer: 67360592*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5112 and 47712?\nAnswer: 143136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-420)*7*(419 + -274).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01053409 to 5 decimal places.\nAnswer: 0.01053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 7) to base 16\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -2*u**2 + 41*u + 30. Let h be v(22). Let i = -34 - h. Solve -25 = 3*k + i*k for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2016 is divided by 253?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, g: 2, k: 1, y: 1, f: 7}. What is prob of sequence gk?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence sb when two letters picked without replacement from {d: 1, y: 4, j: 2, b: 3, t: 8, s: 2}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3322 and 2114?\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 89 + (-69 - -19) + 18.\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 38000 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in h**2 + 4391079*h - 338*h**3 + 363*h**3 - 4391079*h - h**2.\nAnswer: 25*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zafaaazffaffaa. Give prob of sequence aaf.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 286 + 301 - 3*k**2)*(-5*k**3 - k + k).\nAnswer: 10*k**5 - 75*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*j - 2*j - 2*j)*(49 - 9 + 15)*(-2 - 1 + 2 + (6 - 3 - 1)*(-3 - 2 + 4) + (-1 - 2 + 4)*(-3 - 1 + 3)) to k*j + z and give k.\nAnswer: 440","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 + 2)*(-1700)\/(-20). Let g = 1031 + w. Does 26 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4736 = 26*d + 4944 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 536743*i**3 - 20*i + 25331127 wrt i?\nAnswer: 1610229*i**2 - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 6\/89, 0, 3\/28?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 42*c + 449. What is u(-9)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 - 8. Let s = f + -3. Suppose -2*t + 80 = 2*u, 4*u = t + s*t + 142. Is 14 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-1)\/2)\/((-1227)\/408 - -3). What is the highest common divisor of 17 and j?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06168 - -0.43832. Let o be (6\/(-34))\/((-6)\/4). Which is the nearest to -1? (a) -3 (b) o (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(1 - 0) - -1. Let m = -15 + 19. Find the second derivative of -8*f**2 + 4*f + 4*f**n + m*f**3 + 4*f**2 wrt f.\nAnswer: 24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.01 times 0.06069193\nAnswer: -0.0006069193","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2. Let h(f) be the third derivative of f**7\/2520 + f**6\/48 + 37*f**5\/60 + 27*f**2. Let p(m) be the third derivative of h(m). What is p(r(k))?\nAnswer: -2*k**2 + 15","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f**2 + 114*f - 1080 = 0. What is f?\nAnswer: 12, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 501 - 4013\/8. Find the common denominator of m and ((-174)\/27 - 1)*1.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -15, 2, -4 in ascending order.\nAnswer: -15, -4, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:28 AM and 8:45 PM?\nAnswer: 677","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -11244, -12665, -15030, -18339, -22592?\n\"Answer: -472*f**2 - 5*f - 10767","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000726597 rounded to six dps?\nAnswer: -0.000073","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h - 11*h = -6, -2*r + 3*h - 19 = 0. Let y be (r\/20)\/(0 + (-4)\/(-16)). Round y to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.0173689 from 52581639.\nAnswer: 52581638.9826311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/5 - 4388*q**2\/5 + 3013248*q\/5 - 123098112.\nAnswer: 2*(q - 912)**2*(q - 370)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 248*a**4 - 2*a**2 - 51*a wrt a?\nAnswer: 5952*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 8792 and 40488.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*i = 55*i - 1075 - 914 for i.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 114 and 266?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 31061 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2 - 21*b - 2838848*b**2 + 2838890*b**2 - 492*b**6 + 2 wrt b?\nAnswer: -59040*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the third derivative of 9\/20*u**6 + 0 + 0*u**3 - 2*u + 1\/105*u**7 - 11*u**2 + 81\/10*u**5 + 243\/4*u**4. Factor v(d).\nAnswer: 2*d*(d + 9)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 e when two letters picked without replacement from {i: 1, b: 1, o: 2, n: 1, h: 2, e: 1}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.8 - -1.08. Let h = z - -0.02. Which is the nearest to 2\/3? (a) -5\/4 (b) h (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -239*n + 1797. Determine v(1).\nAnswer: 1558","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -806 or -805?\nAnswer: -805","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -17, -18, -7, 22, 75, 158, 277?\n\"Answer: v**3 - 8*v - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-seven fifths of a kilogram in grams?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 - n**2 + n + 1. Let v(u) = 40*u**4 - 2*u**3 + 116*u**2 - 2*u - 2. Let j(z) = 2*d(z) + v(z). Find the third derivative of j(t) wrt t.\nAnswer: 960*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 61\/54805 and 59\/1808565.\nAnswer: 1808565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 34c2a (base 15) to base 12\nAnswer: 81357","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18921)\/318*(10\/7)\/5.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21106 + -21108. Let y = 0.18 - 7.18. Which is the nearest to 3\/5? (a) -0.2 (b) y (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 2*d**2 - 6*d - 7. Let g be r(-1). Put 2, 0, g in ascending order.\nAnswer: 0, g, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -4*m**2 - 9*m + 63. Let s(c) = -2*c**2 - 4*c + 31. Determine -4*n(z) + 9*s(z).\nAnswer: -2*z**2 + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.06 - 0.06. Suppose 42 = 36*l + 330. Let k = 34\/39 - 7\/13. Which is the smallest value? (a) k (b) l (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrrrrvrrrrrrvvr. Give prob of sequence vrvv.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1762151 and -101\/1906384.\nAnswer: 535693904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 1843*h + 11063. Let a be d(-6). Solve 24*p - a*m + 10 = 29*p, -p - 3*m + 10 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 261 and 224601056.\nAnswer: 2021409504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2696, 14490, 46650, 109358, 212796?\nAnswer: 367146","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 152911055 is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the first derivative of 5*p**6\/6 + p**2 + 1. What is the second derivative of l(b) wrt b?\nAnswer: 100*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -11855314\/33 or -359252?\nAnswer: -359252","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*m + 0*m + 0*m)*(962*m - 962*m - 36*m**2).\nAnswer: 72*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 4*u + 942 = 0, 3*m - 2*u - 410 = 142. Let o = m - 151. What is the remainder when 171 is divided by o?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 225175 and 54042?\nAnswer: 1351050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -20 - ((-2448)\/(-36) + -127)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 633*k - 5708. Calculate w(9).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 3*w + 79, 0 = 2*w + 5232*j - 5229*j + 81 for w.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:37 AM and 6:03 AM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 30 and 270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/13789 + 1530599\/137890. Let f = -24 - -16. Find the common denominator of w and (-111)\/44 + (-2)\/f.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 0*c = -1. Let n be c\/(-4) + 111\/12. Let o(u) = u - 2. List the prime factors of o(n).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -355, 53, -1 in ascending order.\nAnswer: -355, -6, -1, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 6*r = -10. Suppose -z = r*a - 10, -3*a = -3*z - 3 - 3. Differentiate -2 + a + 0 + f**2 wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3 + 42*n**2 + 432*n + 928.\nAnswer: -2*(n - 29)*(n + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3198 is divided by 187?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 502 is divided by 283.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 3436587253 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 8 - -3. Let b = -9 + x. Let v be b\/(-3)*(-5 + -247). Calculate the highest common divisor of 21 and v.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/g**(2\/13))**(-7))**47 assuming g is positive.\nAnswer: g**(-3619\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5 - (-2 + 4)) + -6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 8012 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*v + 6*v = -5*i - 15, i + 2*v + 3 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2373 and 1381296?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 41*o**7\/70 + 275*o**4\/24 - 1055*o**2. What is the second derivative of h(q) wrt q?\nAnswer: 1476*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*f + 8. Let z be 20\/15*(-210)\/f. Let m = z + -30. Does 13 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36\/(15\/(-18) - -1). Solve 211 = -5*l + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76201 (base 9) to base 11\nAnswer: 34a07","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3834 divided by 3.\nAnswer: 1278","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n + 7 = -3*s, 8 = -3*s - 5*n - 27 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 355305*m**2 - 47*m - 42154888 with respect to m.\nAnswer: 710610*m - 47","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 352287220.\nAnswer: 2, 5, 197, 89413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 1 v when three letters picked without replacement from kmwmkkvwwwk.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ai when two letters picked without replacement from vmdammim.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b + 12 = 5*b + 3*w, -4*w = -4*b - 12. Put 1, b, 165 in descending order.\nAnswer: 165, 1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-5)*h*h\/(h\/h**(-6)))\/(h\/h**1)**(-4))\/((h*h\/h**(-2\/9)*h*h**(-2\/3))\/(h**(-4\/3)*h*h*h\/h**(1\/8))) assuming h is positive.\nAnswer: h**(-793\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 45\/2 of a kilometer in meters?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i - 24. Give s(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -u**3 + 23*u**2 - 20*u - 10. Let p be f(22). Suppose -209 + 39 = -p*t. Solve 2 = -4*y + t*x + 5, -2*y = x - 5 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 143a9 + -5?\nAnswer: 143a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -373 less than -0.3551?\nAnswer: 372.6449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*x = -4*x + 1703. Suppose 0 = 3*k - 0*k + f - x, 4*k + 5*f = 193. Let y = k - -68. Does 22 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -220422 (base 5) to base 6.\nAnswer: -55124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25190 is divided by 8390?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 78 - 78. Suppose -4*p + 2 - 6 = f. Put p, -2, 4, 3 in decreasing order.\nAnswer: 4, 3, p, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i + 85 = 5*d, -d + 3*d - 34 = i. Suppose -4*w = d*l - 13*l - 20, -4*w = -5*l - 2. Which is the nearest to w? (a) 0.3 (b) -1 (c) 5\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11.086 - 11. Let o = -0.086 + v. Which is the third biggest value? (a) o (b) 0.1 (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 250528217, 501056432, 751584647?\nAnswer: 1002112862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 18269, 18210, 18061, 17780, 17325, 16654, 15725, 14496?\n\"Answer: -7*n**3 - 3*n**2 - n + 18280","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -539131 (base 11) in base 2?\nAnswer: -11010010010010000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of w**4\/12 + 2*w**3\/3 - w. Suppose 5*q + 2*h + 14 = -0*h, -2*h - 12 = 4*q. Let g be f(q). Sort g, 5, -5 in descending order.\nAnswer: 5, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 6 + 0 + 3 + -3 + 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j - 5. Let n be g(-4). Suppose -p - c - n = 0, 4*c = -p - 19 + 1. Suppose -196 = -2*a - p*a. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppp when three letters picked without replacement from {o: 3, m: 1, r: 8, i: 3, p: 3}?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -1.233 from 20058.\nAnswer: 20059.233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3340892 rounded to four decimal places?\nAnswer: -0.3341","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5161517?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25993*n + 347415 = 1569086 for n.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 - 1. Let s = -3125 - -3118. What is x(s)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -57 + 102. What is the tens digit of q?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-48)\/(-3))\/8*10\/(-5)*(-306)\/(-24)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 573986.196 seconds in weeks?\nAnswer: 0.94905125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Total of 171.98 and 0.7.\nAnswer: 172.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + 1 - (-13)\/338. Which is the nearest to 0.2? (a) h (b) -3 (c) 0 (d) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (9\/(-5))\/(5 + (-84)\/15). Is -22 <= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*6\/270)\/((-14)\/((-3150)\/(-375)))?\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -1.2 (b) 4 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 443 is divided by 143?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 158, -246 in descending order.\nAnswer: 158, -3, -246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/7 in 0.07, 0, -1.95?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -5, 1\/3, -0.5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(v) = 5*v. Let y(n) = -384*n**2. Give y(z(a)).\nAnswer: -9600*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*(3\/(-2))\/(48\/(-32)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = j. Let v(p) = -2*p**3 + 8*p**2 - 6*p - 1. Let t be v(2). Solve -t*l = -j*l + 3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -15766 - -32803. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 4*z + 45. Let y be u(-9). Which is bigger: 8 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-2 + 1 + sqrt(500) + (-1 + sqrt(500))*-1) + 1)*6*-5.\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**5\/12 + 5*l**4\/24 + 9*l**2\/2 + 6*l. Let s(x) be the first derivative of q(x). Find the second derivative of s(n) wrt n.\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 18 + -14. Let r(n) = 6 + 3*n**2 - j + 16*n**3 - 17*n**3. Let g be r(3). Solve -6 = -g*i + 2 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) 5 (b) -3\/5 (c) 1\/61 (d) 0.18772\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2758730.\nAnswer: 2, 5, 13, 21221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4*(-4)\/(-64)*28. Suppose -2*y - 10 = -m*y. Suppose 6*r + 4*r = 50. Solve -y*d + 3 = -r*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 10*b**2 - 3 - 2*b - 1 + 3 to the form f + r*b**2 + z*b and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 64 + 16?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2617 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7932613?\nAnswer: 13, 47, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -u + 7. Let k be a(7). Suppose 2*f + k*f = 130. Suppose -3*c = -8*c + f. What is the highest common factor of 143 and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -3\/2*r**2 + 5*r - 4. Differentiate n(s) with respect to s.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 49, -53, -215, -437, -719, -1061?\nAnswer: -1463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 5\/140*124\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.1196 + 163.8804. Which is smaller: -2 or w?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 6*p**2 + 8*p + 1. Let q be b(7). Suppose t = -t + q. Suppose -a - t = -8. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54566453 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*t + 214*t - 79*t)*(-t - t + 0*t).\nAnswer: -314*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ooo when three letters picked without replacement from {o: 7, i: 3}?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-3 + 4*(sqrt(1216) + -2) + -5).\nAnswer: -96*sqrt(19) + 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 220905677?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -2*w + 32. Let s(g) = 5 - 16 + g + 0. Let t(v) = -8*s(v) - 3*y(v). Determine t(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 85, -4.\nAnswer: -4, -3, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**2 - 13*x + 3. Let b be z(-13). What is the third derivative of 4*j**6 - 2*j**2 - j**6 + b*j**2 + 2*j**2 wrt j?\nAnswer: 360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, -16, -5.\nAnswer: -16, -5, -1, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2\/15, 0.008, 1\/3, -4\/5, -5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 4*s - 25, s + 1 = 5. Suppose o + d*v = 79, 0*o - 85 = -o - v. Is o a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -9*z + 4*z + 4*z. Let p(m) = 10*m. Give c(p(f)).\nAnswer: -10*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 5*u = 2*w, -u - 4*w - 12 = 0. Let a(q) = -q - 2*q - 5 + 6. Let p(r) = -2*r + 1. Let k(j) = u*a(j) + 5*p(j). What is k(-1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 357131 is divided by 50980.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 230*o**2 + 2*o + 2. Let q be p(-1). Let s be (-15)\/70*q\/6. Let f = -1139\/154 - s. Is f equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1743?\nAnswer: 3, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2323 + o + 768 + 769 + 786 + o.\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1329337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 470399?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 976?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 209.989 + -210. Let n = -0.0109858 - i. What is n rounded to six dps?\nAnswer: 0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*-1147\nAnswer: 17205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s + 17. Let c(k) = k - 1. Let f(i) = -6*c(i) - z(i). Let a = 349 - 360. Let o(n) = -7*n - 21. Let u(y) = a*f(y) + 6*o(y). What is u(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 6*h**3 - 8*h**2 + 9*h - 15. Determine n(3).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19886 and 652.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f**5 + 0*f + 0*f + (2*f + 0*f + 0*f)*(3 + 16*f**4 - 3).\nAnswer: 34*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-70)\/(-6) - 2\/(-6). Suppose n + 4*k = -25, 5*n - 3*k + v = 2. Let j(z) = z**3 + 6*z**2 + 2*z - 2. What is the tens digit of j(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 8\/7, -0.5, -5, 4\/5, -2, 11\/268?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9707143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r + 2519 - 2519 - 13*r**2. Calculate f(-1).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-16) + (-24999)\/(-2))*64. Round o to the nearest 1000000.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 520 and 560.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -58 - 71 = 4*d - i - 128, 0 = -2*i + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, f: 2}. What is prob of sequence ppff?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -494.99 + 495. Which is the third biggest value? (a) -1\/5 (b) r (c) 2 (d) -30\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9112\/(-23256) - 2\/38\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the first derivative of a**5\/60 + 4*a**3 - 12. Let b(s) be the third derivative of i(s). Let l(o) = 6*o**2. Determine b(l(z)).\nAnswer: 12*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 743.7857 centuries?\nAnswer: 74378.57","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j - 4*d = -77821, -4*j - 4*d + 103760 = -0*j. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 136*l**2 - 2971*l - 360. What is t(22)?\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2. Let m(g) = -31*g - 5. Let r(n) = 962*n + 156. Let k(z) = 481*z + 78. Let w(f) = -7*k(f) + 4*r(f). Let d(q) = 78*m(q) + 5*w(q). Give b(d(u)).\nAnswer: 338*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 to the power of 1\/5, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10746587279 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 7*h**2 - 370*h - 64. Calculate l(53).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z**3 + 6*z**3 + 3*z + 12*z**3)*(-2*z + z**2 + 2*z).\nAnswer: z**5 + 3*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-3))**(-2\/23)\/((p*p**11)\/(p*p**(-2)*p)))**(-4\/7) assuming p is positive.\nAnswer: p**(1080\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nd when two letters picked without replacement from ndw?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -439, -883, -1329, -1777, -2227?\nAnswer: -2679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5 + 2 + 1)*(-2 + 0 + 0) - 4514 + 6731 + 9359)*(-2*i + 0*i - 2 + 0*i).\nAnswer: -23160*i - 23160","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 3*z + 57. Let d = 54 + -73. Let q be t(d). Let g(l) = -l - 1. What is g(q)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in twenty-one halves of a decade?\nAnswer: 1260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 885809 at most as big as 885810?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 253417 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -2*v**3 + 23*v**2 - 7*v - 1. Is o(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 7771?\nAnswer: 1\/409","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2 - 196*w - 4802.\nAnswer: -2*(w + 49)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -9*q - 16. Determine s(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ic when two letters picked without replacement from {l: 5, c: 6, i: 2}.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in minutes?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-855)\/(-38))\/(2\/(90\/5)*(-63)\/14).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3*(-5)\/(-60))\/(13\/676)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1391 + -915. Calculate the highest common divisor of 68 and q.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 2 - 4 + (-1 + 6 - 3)*(4 - 2 - 1))*(18 - 8 - 30)*(-7 - n - 5 - 24) to the form o + h*n and give o.\nAnswer: 2160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1\/100 - 203\/300. Let x = -0.6 + -3.4. Which is the second biggest value? (a) x (b) h (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**1\/m**(-1)*m**(-4)*m*m\/m**(1\/4) assuming m is positive.\nAnswer: m**(-1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3376, 2229, 1082, -65, -1212?\nAnswer: -2359","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -19913779 or -19913778?\nAnswer: -19913778","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2333535 and 9.\nAnswer: 7000605","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vhyv when four letters picked without replacement from {h: 4, y: 2, v: 3}?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 654.0137 - 0.0137. Let i = 661.2 - j. Round i to the nearest 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -2\/225 and -61\/95.\nAnswer: 4275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -2*p**2 + 6*p - 3. Let q be a(6). Let z be q\/41 + 10\/10. Is -1 at most as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -71*v - 16901 = -220*v - 14666 for v.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 28\/10 + 2 + 9\/(-5). Let x be f*5 - (-6)\/9*6. Solve -1 = -4*d + 2*d + t, -2*d + x = 5*t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**2 - r + 1. Let d(w) = w**2 + 1. Let p(h) = -c(h) - 2*d(h). Calculate p(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 134 + -1 + 1 + 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 4*l + 44. Let q(x) = -2*x**3 + 3*x**2 - x. Determine q(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 28 divided by -34.\nAnswer: -14\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 6119*d - 6118*d + 2, -d + 12*f - 15 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*g - 98*g - 33*g**3 + 228*g**3 + 52*g.\nAnswer: 195*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-725)\/(649600\/(-768)) + 447\/(-819) + 2\/(-6).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 593120342?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**2 - 15*r + 16. Let l be k(14). Let n(v) = 2*v**3 - 2*v**2 - v. Let x be n(l). Does 11 divide x\/(-6*4\/(-176))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 51 - 154\/3. Do 0.2 and w have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/((-6)\/8) - (13 - 14). Let v(f) = 5*f - 8. Let j(d) = -4*d + 10. Let m(z) = c*v(z) - 2*j(z). Let g(i) = 6*i - 3. What is 4*g(r) + 3*m(r)?\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -172 - -175. Factor -1\/3*q + 1\/3*q**4 + 1\/3*q**f + 0 - 1\/3*q**2.\nAnswer: q*(q - 1)*(q + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98001335.\nAnswer: 5, 19, 1031593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:46 PM and 4:37 AM?\nAnswer: 591","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 399714 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from ffffffffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*i - j - 6 + 12, -4*i - 3*j = 1 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -17836553 < -17836552?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kaa when three letters picked without replacement from akaaaakkaaa?\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - (-23 - -8)) + -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -f + 2*f - 3*f - 573.\nAnswer: -2*f - 573","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3626973.\nAnswer: 3, 7, 57571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*l**3 + 0*l**2 + 0*l**2 + 21*l**3.\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/(-3) + (-50)\/(-6). Let x = 37 - i. What are the prime factors of x?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146*r = 1654227 + 3485995. Is 121 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4a3 - 6?\nAnswer: 49a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 63095 + -59922.9. Round k to the nearest 1000.\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-25)\/15)\/((-30360)\/1584)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 2*j**2 - 37434*j + 411515. Give p(11).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -29\/28 and 76\/570*(-34)\/16.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 1 - 13. Let r be (-2 - -1) + 0\/c. Let i be -1*(1 + 8)\/(-126). Is r bigger than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 33165142 - 0?\nAnswer: 33165142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3857750542.\nAnswer: 2, 1928875271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to -1\/275?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(65\/5 - 1). Let c = 40 - b. What are the prime factors of c + 0 + 69 + 2?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the first derivative of 4*x**2 + 22*x - 2. Let z be d(9). Round z to the nearest 10.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*y - 4, 3*d = 5*y - 29 + 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -4*d - 4. Let o(i) = 5*i + 5. Let j(p) = -5*o(p) - 6*y(p). Determine j(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8430\/13 at least 647?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25 - 19) + (-3 - (5 + 1)) + 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13444 is divided by 3348?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 29 - 25. Let v = -34 + 36. Let p(t) = 5*t + 2 - 4*t**v - 2*t**2 + 61*t**3 - 114*t**3 + 54*t**3. Give p(a).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r**4\/3 + 8*r**3 - 52*r**2\/3 + 16*r - 16\/3 = 0 for r.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -5*k - 3. Suppose -5*p + 4 = -3*p. Suppose -n = -2*z + 5, -6*n - 2*z = -p*n. Is n >= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 338 divided by 13.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -317 - -320. Find the third derivative of 20 - 20 - 50*k**2 + 190*k**2 - 227*k**v wrt k.\nAnswer: -1362","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/29? (a) 0.2 (b) -22 (c) 0 (d) 0.01 (e) 0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*m + 0 + 0 - 7 + 7 - 8*m + (2*m + 4 - 4)*(4 - 3 - 2) + 0*m + 3*m - 5*m.\nAnswer: -17*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 2*t. Let i be 8\/(-5)*(-135)\/(-6). Let k = -31 - i. Let f(c) = -1. Let u(w) = -2*w - 2. Let v(d) = -2*f(d) + u(d). Determine k*v(g) + 6*z(g).\nAnswer: 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/16 of a kilometer?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2.72 - -3.1. Let z = j - -0.02. What is the third smallest value in z, -5, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the second derivative of 3*q**4\/4 + q**3 + 3*q**2 + 338*q. Suppose 0 = k - 3*p + 17, 4*p - 22 = -3*k + 4*k. Is v(k) a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1783269150 to the power of 1\/2, to the nearest integer?\nAnswer: 42229","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-3) + -1)*17. Let f(v) = -4*v + 16. Let g be f(b). What is g rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 61687514?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1360434222.\nAnswer: 2, 3, 7, 23, 469439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 156?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(80) + -2)**2 + 4.\nAnswer: 64*sqrt(5) + 1288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 4*g = -1, 8*g + 23 = 5*a + 10*g. Solve 2*h - 21 = -a*w, 10*h - 5*h = 3*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 29\/6 of a year?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 44084 is divided by 10997.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -421, -1651, -3699, -6565?\n\"Answer: -409*h**2 - 3*h - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 9:01 AM?\nAnswer: 5:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**2 + c**2 - 1 - 3*c**2)*(14 + 8 + 25)*(c**2 + 2*c**2 - c**2).\nAnswer: -94*c**4 - 94*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 8*r + 713. What is the hundreds digit of j(0)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -43*k - 4*b - 27 = -42*k, -30 = 5*k + 5*b for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8\/7 in 16, -2\/19, 1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 38*n**2\/3 + 396022*n - 125060\/3.\nAnswer: 2*(n + 31265)*(19*n - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00310186 rounded to 4 decimal places?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 75 - 67. Suppose -3*w - 220 = -j*w. What is the common denominator of 51\/248 and w?\nAnswer: 248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 7 = d + 3*v, -4*d + 3*v - 1 = 0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**2 + 12232*g + 48960.\nAnswer: -2*(g - 6120)*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 79 divide 51350?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -5*p + 1. Let i be -3*(-2 + 3 - -2). Is m(i) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3435, -3442, -3449?\nAnswer: -3456","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 839 is divided by 277.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -3.3 from 35.\nAnswer: 38.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**1)**18\/(p*p\/p**(2\/29)*p*p**(-1\/3))*p**2*p**(2\/3)\/p*(p*(p**(1\/3)\/p)\/p)\/(p*p**(-6)*p) assuming p is positive.\nAnswer: p**(1775\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29*j**4 + 4933*j**3 - 96*j**2 - 132298143*j.\nAnswer: -348*j**2 + 29598*j - 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*d**4 + 936*d**3 - 17286*d**2 + 101668*d - 190512 = 0. Calculate d.\nAnswer: -486, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*sqrt(104)*-2)\/(sqrt(8) - (sqrt(72) + sqrt(72) + 2*sqrt(72))\/sqrt(9)))**2.\nAnswer: 1300\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3261 - 2222 = 164*o - 2077 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -61\/2064 and 13\/58824.\nAnswer: 117648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -231203032?\nAnswer: -231203033","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and 3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes before 11:23 PM?\nAnswer: 5:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 15.9*-376\nAnswer: -5978.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 126055 divided by 25211.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003101 rounded to five dps?\nAnswer: -0.00031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -13254200 (base 7) to base 8\nAnswer: -4525633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 211, 284, 423, 640, 947, 1356, 1879?\nAnswer: 2528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 78044372?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert d78 (base 14) to base 8.\nAnswer: 5136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = 4*o**2 - 15*o - 29 + 6 - o**3 - 7 + 14*o**2. Let d be z(17). Solve -d*k + 1 = 5 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 24954.2 - 24954. Sort 89, -0.4, r, 0.3.\nAnswer: -0.4, r, 0.3, 89","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -20*s + 7. Let z(v) = 19*v - 7. Let l(x) = -3*k(x) - 2*z(x). What is the remainder when l(3) is divided by 20?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 253852, 253806, 253760?\n\"Answer: -46*i + 253898","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-18)\/30)\/((-2)\/(-21) + (-295)\/(-210)). Sort 2\/15, -15, -0.3, w, 2 in decreasing order.\nAnswer: 2, 2\/15, -0.3, w, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 + 0. Let m = 13 + -16. Let a be 6 - z*3\/m. Solve -a*j + 12 = 2 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine halves of a decade in months?\nAnswer: 1740","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 4572?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 34290*o - 34590. Give r(1).\nAnswer: -300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 10*n + 40. Let h be 363\/15 + (-1)\/n. Calculate the highest common factor of h and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -34 + 37. Solve -g - q = -1 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 18*f. Suppose 8*c - 21 = 75. Let y(b) = -45*b. Calculate c*w(s) + 5*y(s).\nAnswer: -9*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -479*p + 282*p - 476*p = -6057 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r**2 + 162*r + 243. What is h(-52)?\nAnswer: -69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100011001100010001011 + 111001?\nAnswer: 100011001100011000100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/(-4*265\/(-424)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, e: 4, l: 3, i: 2}. What is prob of sequence es?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00003186 rounded to 6 decimal places?\nAnswer: 0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/(-4) - -8 - (-5 - 1)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 5*r - 1. Let q = 854 + -852. Let t(c) = -5*c + 1. Give q*a(k) + 3*t(k).\nAnswer: -5*k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/4? (a) -75 (b) 2 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -156 - -267. Let f = a + -34. List the prime factors of f.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 10:12 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3056249 is divided by 1018743.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -223134 (base 5) to base 4.\nAnswer: -1323233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of q**3\/6 + q**2\/2 + 5*q. Let l be x(1). Let c(t) = 10*t**l + 3*t**2 - 10*t**2. Let p(k) = -5*k. Determine c(p(f)).\nAnswer: 75*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w\/w**(-2\/37)))\/w)\/w**(-7) assuming w is positive.\nAnswer: w**(257\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 122023590 bigger than 122023590?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.251921 hours to nanoseconds.\nAnswer: 33306915600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 25812 + -25815. Let l(f) = -f**2 - 2*f + 4. Let n be l(3). Put 1, t, n in ascending order.\nAnswer: n, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1\/8 (b) -0.4 (c) 11\/81 (d) 1 (e) 127\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**2 - 72\/11 + 48\/11*c + 2\/11*c**3.\nAnswer: 2*(c - 1)*(c + 6)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1230 + 1962. Suppose 0 = -7*w + 2*w, -2*z = -2*w + 936. Let j = z + t. Calculate the highest common factor of 24 and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 55638122.\nAnswer: 2, 27819061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3993765 = -53*p + 11*p + 2420349. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1000.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 30*g + 88. Calculate l(3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 11*x + 14*x + 6 - 37*x + 13*x. Let i(h) = -h - 5. Give 6*i(z) + 5*u(z).\nAnswer: -z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -16*g + 1. Let c(x) = 78*x - 927. Calculate c(s) + 5*l(s).\nAnswer: -2*s - 922","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-70)\/150 - (16\/(-6) - -2).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*t**2 + 3*t**2 - 4*t**2 + (-2 + 2 - t)*(-3 + 3 - 6*t) + t**2 + t**2 - t**2.\nAnswer: 9*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: ((-45)\/40*1)\/(5*(-21)\/(-140))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 115186240.\nAnswer: 2, 5, 13, 27689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express 91*s**3 - 188*s**3 + 4 - 32 + 91*s**3 - s**2 in the form u*s**3 + a*s**2 + k + w*s and give k.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 7\/12*44\/(-42). Let u = -17\/72 - d. Let s be 4 + -2 - 9\/4. What is the closest to s in 0.1, u, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*2*sqrt(156))\/(sqrt(24)\/(sqrt(2)*-1)))**2 + (sqrt(351)\/(sqrt(36)\/sqrt(4)))\/(sqrt(288)\/sqrt(6)).\nAnswer: sqrt(13)\/4 + 1872","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 25*d - 162*d - 108851 + 582186. What are the prime factors of d?\nAnswer: 5, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4 - 2. Let a be d\/(-16) - (1 + -1). Let l = 82\/3 - 27. Which is bigger: a or l?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68*z - 175*z = 99*z + 3914 for z.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 - -8. Let v be 4\/(-16) + 19\/j. Let o(a) = a**3 + 6*a**2 + 7*a + 6. Calculate o(v).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x - 130 = -5*g - 168, 4*x = -5*g - 23. Solve 8*f + 66 = -x*f for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 24\/113 (b) -1 (c) 1\/3 (d) 1\/6 (e) 16 (f) 0.5 (g) -49\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 13 = -5*t + 38, -3*q + 22 = -4*t. Let c be 2\/q + (-28)\/12. Calculate the remainder when (-171)\/(-6) - 1\/c is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c - 13. Suppose -14*r = -19*r - 35. Let o = 12 + r. Let p be v(o). Solve -p*y + 12 = y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-150))\/(20\/600*-12)?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - q**2 + 2)*(163*q - 333*q + 166*q + 19*q**2)*(11 + 14 - 13).\nAnswer: -228*q**4 + 48*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zhzh when four letters picked without replacement from {h: 3, r: 1, z: 5}?\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**5\/20 + i**2\/2 - i - 19. Let n(v) = -15*v**3 + 3. Calculate 3*a(m) - n(m).\nAnswer: 12*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15*n - 89 + 810 + 15*n - 28*n to x + c*n and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -507 - 213 = -80*w for w.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19.0154 - 19. What is d rounded to 3 dps?\nAnswer: 0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 5811167\/5414550 - -3\/36097. What is the common denominator of 161\/30 and m?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*o + 23*o - 4*o)*(4 - 3 + 3) to u + z*o and give z.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*q**2\/3 - 412*q\/3 + 82\/3 = 0 for q.\nAnswer: 1\/5, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 365557 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r**2 - 14*r. Let k(y) be the third derivative of y**4\/8 + 505*y**2 - 2*y. Determine u(k(j)).\nAnswer: -9*j**2 - 42*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.865 - 0.057. Let c = m + -0.078. Is c < 27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -85*j + 33. What is the tens digit of f(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5\/3, -4, 216\/133?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2105 a factor of 121778460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = -469*l + 14681. Calculate f(28).\nAnswer: 1549","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c\/(c**10*c))*c\/c**(1\/5)*(c\/(c**(-4\/3)*c))**(-32) assuming c is positive.\nAnswer: c**(-463\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5\/((-10)\/(-6)))\/3. Let n be (1 - w\/(-2))\/(108\/18). Which is the second smallest value? (a) n (b) 4 (c) -2 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -306590 divided by -86.\nAnswer: 3565","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p + 2 - 2 + p - 5*p + 3*p + (1 - 1 - 2*p)*(0 + 1 - 2))*(2*p**3 + 2*p**3 - 3*p**3).\nAnswer: 5*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 - 17. Let y be (-60)\/(-4)*(-8)\/(-10). Suppose -4*u = -3*z - 28, -5*z = u + u + y. Which is the nearest to -2\/7? (a) j (b) 1 (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 289673 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 - 3*n + 1. Let v be 6*(2 - (35\/10 + -2)). Give x(v).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -54*h**2 + 63*h - 21*h - 21*h + 46*h**2 - 21*h. Let x(j) = -2*j**2 + 0*j**2 + 4*j**2. Give x(n(u)).\nAnswer: 128*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288 is divided by 106.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**2 + 32 - 32 - 2*f**4 - 22*f**4 + 3*f**4 + f**4 + (f**3 + 2*f - 2*f)*(f + 0*f - 2*f) + f**4 - 2*f**3 + 2*f**3.\nAnswer: -20*f**4 - 2*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10.8? (a) -2 (b) 105 (c) -3\/8 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 52706 and 146.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) 3 (b) -5 (c) 16\/9 (d) 0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -71 + 36. Let v = 50 + g. What is the highest common factor of v and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.8? (a) -5 (b) -2966899 (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -4*n**3 + 4*n**2 + 9*n + 10. Let m(b) = 5*b**3 - 3*b**2 - 9*b - 10. Let l(c) = 5*m(c) + 6*y(c). Let h be l(-8). Solve -4 = -h*p + 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-3)\/6)\/(1\/(-6)). Solve 2*h + 1 = -3*w + 2, 5*w - o = -2*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-36) - 196\/18\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 51469270 and 540?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-11\/2)*x)\/(x\/(x**17\/x)) assuming x is positive.\nAnswer: x**(21\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or 1\/877?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 6.425 times -12\nAnswer: -77.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - -263. Let z = h - 248.6928. Let a = z - 0.3. What is a rounded to three dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 3*i - 53. Let q be p(23). Let z = 42 - q. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -146*p + 5096. Give s(35).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 3*j. Let v(s) = -4*s**2 - 3*s. Let g(m) = m**2. Let h(r) = 3*r**2 - 2*r. Let t(i) = -6*g(i) + h(i). Let u(f) = -3*t(f) + 2*v(f). What is u(c(w))?\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000898 to 7 dps.\nAnswer: 0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + ((-1 + sqrt(175) - sqrt(7))**2 - sqrt(21)\/(sqrt(12) - sqrt(3)) - (sqrt(70)*-1*4)\/sqrt(10)) + -5).\nAnswer: -654 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -162 + 191. What is the remainder when 2\/8*-102*-2 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h**3 - 3*h**3 + 6*h**3)*(-9 + 2 - 1) + (3*h**2 - 2*h**2 + 0*h**2)*(-1 + 1 - h).\nAnswer: -9*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -39.6 in 1.5, -86.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from oououoouuouoo.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -7*l - 30 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h - 9. Let s(l) = 0 + l - 3*l - 2 + 0. Calculate -2*b(o) + 9*s(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (23 - 13) + -2 + 3 + 2.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16188235 divided by 3.\nAnswer: 16188235\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (126\/(-36))\/(-7) - (-7 + 102\/12)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, i: 5, q: 3, w: 1}. Give prob of sequence wq.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 3*f - 1. Calculate v(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 171 = 11. Let a = n + 45. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 306, 3, 4, -23, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-130)\/20*(-12)\/(-13)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -8 - -4. Let h be 8\/9 - u\/(-18). Let p be (104\/2340)\/((-1)\/(-5)). Which is the third biggest value? (a) p (b) h (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 0 + 0*w**2 + 1\/3*w**3 - 3*w. Let z(x) = 3*x**2. Give b(z(t)).\nAnswer: 6*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - (-46)\/(-6))*(-15)\/(-2). Let t(j) = -4*j**2 - 81*j - 18. Let l be t(c). Which is smaller: l or 1.15?\nAnswer: 1.15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-9)\/(-45)*8\/12?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 185898172 a multiple of 108?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -742?\nAnswer: 2226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2\/(16\/(-6))*-564. Suppose 5*d = 847 + g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*a**3 - 3*a**3 - 7*a**3 - 8*a**3.\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -139\/450 and -119\/10650.\nAnswer: 31950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 35476 - 21777. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3637186291 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 9, y: 3, e: 7}. Give prob of sequence zzee.\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1835563*i**2 + 5. Let d(g) = g. Determine o(d(a)).\nAnswer: 1835563*a**2 + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1893147*y**5 - 209*y - 3902.\nAnswer: -37862940*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 84 - 169\/2. Which is the closest to 7? (a) g (b) 48 (c) -6\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*8*(-3)\/180.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h**2 - 2*h - 1. Let i be r(-1). Let t be (-1 + i)*-51 - 3. Suppose -3*w = -5*v + 27 - 68, 4*w - t = 5*v. List the prime factors of w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 76125.38 decades?\nAnswer: 761.2538","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 140 (base 15) to base 5\nAnswer: 2120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5035 + -50?\nAnswer: 4545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 AM and 4:05 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/14 + (-60)\/(-14). Let c be (-721)\/(-49) + 2\/7. Solve 5*s - c = -5*w, -7 = -u*s - 3 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes after 6:27 PM?\nAnswer: 2:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -14. Let o(r) = 2*r - 168. Let y(w) = -o(w) + 12*p(w). Let g(v) = 4*v**2. What is y(g(t))?\nAnswer: -8*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*y + 0*y - y**2 + (4 + 0 + 2)*(y**2 - 4*y**2 + 2*y**2).\nAnswer: -7*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k - 3*c + 6, 12 = -3*k + 4*c + 2. Suppose 4*m - k*y = 1042, m - 361 = -y - 93. Is 52 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*z**3 + 9*z**2 + 162*z.\nAnswer: -3*z*(z - 9)*(z + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes before 9:12 PM?\nAnswer: 2:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13568*l**2 + 0*l - 27111*l**2 + 13545*l**2 + 0*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -180904254*a**2*p**2 - 273*a**2*p + a**2 - 190*a - 47 wrt p?\nAnswer: -361808508*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**2 - 3*q + 3*q)*(-q + 3 - 3) + 3*q**3 - 2*q**3 + 2*q**3 - 12 - 6*q**3 + 12.\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence juj when three letters picked without replacement from {a: 2, u: 5, j: 3, n: 1, h: 4, w: 5}.\nAnswer: 1\/228","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1688 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 47, 37, 27, 17, 7, -3?\n\"Answer: -10*d + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -506, -995, -1462, -1895, -2282, -2611, -2870?\n\"Answer: 2*x**3 - x**2 - 500*x - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -34867 - -69176. What is the thousands digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 61740547.7 rounded to the nearest 100000?\nAnswer: 61700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3248 and 112.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -g**2 - 7*g - 6. Let t(c) = 6*c**2 + 36*c + 31. Let q(s) = 11*l(s) + 2*t(s). Let v be q(6). Solve -2 = b + w, -3*b = -3*w + 8 - v for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -234*o - 40920. Determine i(-172).\nAnswer: -672","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 59, 53, 47, 41?\n\"Answer: -6*f + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 6, x: 3, m: 1, y: 4, f: 1, k: 3}. What is prob of picking 1 y and 1 x?\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (70\/(-6))\/(873\/2619)\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2*a**3 + 3*a**3 - 4*a**3)*(-1 + 4 - 5)*(5 - 5 - 3).\nAnswer: -18*a**3 - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 203\/86460 and 19\/16?\nAnswer: 345840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = 14*z - 1110. Suppose 2*v - 50 = 5*o, 0 = 2*v + 3*o - 2*o - z. Solve -3*c = -4*j - v, -5*c - 6*j = -j for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 + 0 = 2*j. Let k be ((-4)\/j)\/(20\/(-14)). Factor 0*l + 0 - k*l**2.\nAnswer: -2*l**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 238 = 619. What is the first derivative of -6*q**3 + 127*q - d*q - 7 wrt q?\nAnswer: -18*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 36282, 36297, 36312?\nAnswer: 36327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 13 + 16 - 21*g + 2 - 36 + 10. Let i(r) = 11*r - 2. Give 5*i(t) + 2*y(t).\nAnswer: 13*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -565, -1361, -2489, -3955?\n\"Answer: -i**3 - 157*i**2 + 8*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -499997 divided by -1.\nAnswer: 499997","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 179943070?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304489.\nAnswer: 304489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + (1 - -28 - (-76 + 87))?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20646*p**2 + 20566*p**2 + 17*p + p to n + x*p + k*p**2 and give x.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)\/r)**(27\/7) assuming r is positive.\nAnswer: r**(-54\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w. Suppose 3*n + 60 = 6*n. Suppose -4*m + 3*y + n = 0, 3*m + y + 0 = 2. Let i(x) = x - m*x + 2*x. Give i(d(a)).\nAnswer: -a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.051 + -102.051. Let p = h - -102.041. What is p rounded to two dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, 30, 704 in ascending order.\nAnswer: 0.18, 30, 704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:58 PM and 1:42 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -6 (base 9) to base 5\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -29 - -28.98. Which is the closest to 2? (a) w (b) 0.1 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (4 + -415)\/(5\/(250\/(-265)) + 5) and 1781.\nAnswer: 17810","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-64)\/(-40))\/(4\/10)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1297, 1298, 1299, 1300, 1301?\nAnswer: 1302","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/6 + (-389674)\/(-471). Solve v*u - 819*u = -56 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8856515561 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**15\/(r\/(r*r**8)*r)*((r\/((r\/r**4)\/r))\/r)**(4\/7) assuming r is positive.\nAnswer: r**(170\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 + 0 = -2*c. Let k be (0 - c)*(2 - 0). Suppose -b - 4 = 0, -3*b - 7 = -k*g + 17. Calculate the least common multiple of 2 and g.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -x + 305, 5*f - 276 - 29 = -x. Calculate the remainder when x is divided by 105.\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7775*d**2 + 97 + 94 - 191 + 2587*d**2 to i*d + w + f*d**2 and give f.\nAnswer: -5188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/2 - 3\/22 - (-1094)\/(-1094).\nAnswer: -7\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1564 is divided by 34 + -5 + 3*(-4 + 5).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjjj. What is prob of picking 2 j?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(490) - sqrt(490)) + sqrt(10) + sqrt(10))\/(sqrt(35)\/sqrt(7)*5).\nAnswer: -12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4 - -24. Let x = i - 20.5. Let m = -87 - -85. What is the third biggest value in x, m, 1\/11?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = -0 + 4. Suppose 24 = -4*f + 5*c, -5735*c - 36 = -f - 5739*c. Solve 0*b = 4*b - 3*q + 17, f = -5*b - n*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126715 and 1393865.\nAnswer: 1393865","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) be the third derivative of 0*m - 1\/2*m**3 + 2*m**2 + 1\/15*m**5 + 0 + 0*m**4. Let s be b(4). What is s rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 59, -1803, -3663, -5521, -7377?\n\"Answer: a**2 - 1865*a + 1923","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -243 (base 6) to base 12.\nAnswer: -83","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2c95d (base 14) to base 12.\nAnswer: -54707","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1631 or -1632?\nAnswer: -1631","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-21))**(-42)*((p\/p**(4\/19))\/p)\/p*p**(-17)*p)**50 assuming p is positive.\nAnswer: p**(821550\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 3 + 0 + (sqrt(200) + -4 + 4 + sqrt(200))**2 + 0 + -4 + -3.\nAnswer: 794","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 60007\/3 or -2\/9?\nAnswer: 60007\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 5 + 4)*(0*r + 0*r + r) - 4*r + 0*r + 2*r)*((1 - 1 + r)*(r + 0*r + r) + 8*r**2 + 17*r**2 + 4*r**2) to o*r**2 + a*r + c + k*r**3 and give k.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3018*o + 12 = -3015*o. Let p(i) be the third derivative of 0 + 1\/12*i**o + 0*i**3 - 3*i**2 + 0*i. Let v(b) = 2*b**2. Calculate v(p(z)).\nAnswer: 8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + 1 + (-39 - -12 - -19)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4565\/(-275) + 26\/10. Which is smaller: -238 or u?\nAnswer: -238","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u = 2*g - 14 - 4, 5*u - 24 = -g. Suppose 3*d - 3*p = 1857, -3092 = -u*d - p + 3*p. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 3)*(-4*s + 2*s + 0*s) + 4*s + 3*s - 6*s.\nAnswer: -s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 3*b - 1. Calculate u(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.316 + 0.016. Which is bigger: t or -29?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28197 - -40261. List the prime factors of d.\nAnswer: 2, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56 minutes after 11:32 PM?\nAnswer: 12:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 687132720?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -881 - -6171\/7. Sort r, 14, 3 in ascending order.\nAnswer: r, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -88 - -1 - 1 - (-176 + 308 + -133)?\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -d - -844b8?\nAnswer: 844aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:24 AM and 10:16 PM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 29 + -48 + -1 + 2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*j - j - 18. Is 6 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 57183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 2006\nAnswer: -7\/2006","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 23*n - 14. What is the units digit of a(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 51*l - 206. Determine x(17).\nAnswer: 661","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.5 + 10.5. Let l = z + -13.7. Round l to zero decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2012126, 8048482, 18109076, 32193908, 50302978, 72436286, 98593832?\nAnswer: 128775616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -128533, -128501, -128469, -128437, -128405, -128373?\nAnswer: -128341","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 3181*h**2 - 2*h + 0*h + 3194*h**2 - 3 - 6384*h**2 in the form i + d*h + x*h**2 and give x.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2 (b) 591 (c) 1\/16 (d) 3 (e) 6 (f) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 28 - (-14 + (-7 - (-20 - -4)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.01 - 4.99. Let g be ((-40)\/(-50))\/(1 + (-4)\/5). Which is the nearest to 1\/4? (a) m (b) 8 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 53839, 53842, 53847, 53854, 53863, 53874, 53887?\n\"Answer: p**2 + 53838","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1221221 - 21220211?\nAnswer: -12221220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 77 (base 8) to base 14.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t**3 - 15479 + 15479 - 191*t)*(t + 5*t - 5*t).\nAnswer: -2*t**4 - 191*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 578.0002 litres in millilitres?\nAnswer: 578000.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -g**3 + g**2 + 2*g. Let j be (-5)\/(-10) - 3\/(-2). Let y be c(j). Suppose -q - 3*x = -0*q - 22, 2*x - 31 = -3*q. Solve y = s + 2 - q for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**5 - 6*z**4 + 18*z**3 + 24*z**2 - 15*z - 18 = 0.\nAnswer: -3, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = r**2 + 7*r + 10. Let a be g(-14). Suppose 0*b + 4*b = -4*f + a, 3*b + 105 = 3*f. What is the remainder when f is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333278.\nAnswer: 2, 11, 15149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 0. Let x be ((-3)\/6*0)\/(0 + -1). What is the nearest to x in 0.3, -1, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 7*c**2 - 22*c - 38. Determine f(-9).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -14\/23 (b) 119 (c) -4 (d) 0.3 (e) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 9. Suppose -u*x - 2*n + 2767 = 3*n, -4*n - 4661 = -5*x. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 - -3. Let v = 12 - r. Solve -1\/2 + x**2 + 2*x**3 - x**v - 1\/2*x**4 - x = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 299?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7)\/((-196)\/(-8)))\/(((-108)\/270)\/((-28)\/(-470)))?\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*i - 48 - 62. Let k = -13 - i. Suppose 4*s + 22 = -o - 0*s, -3*s = -3*o + k. Which is the smallest value? (a) 1\/8 (b) 0.4 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1369 (base 12) in base 11?\nAnswer: -1758","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.9 and 1007094855112.\nAnswer: 1007094855112.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 0, -694, -3 in decreasing order.\nAnswer: 1, 0, -3, -694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v - 1 + 11*v + 15*v. Let z be l(1). Suppose -52 - z = -4*s. What are the prime factors of s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 378 - 288. What is the smallest common multiple of 20 and m?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -9*a + 2. Let q(s) = 10*s - 3. Calculate 6*q(c) + 7*r(c).\nAnswer: -3*c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -5*n + 2. Let x(y) = 2 - 1 + 2*y - y - 6*y. Let k(m) = 5*w(m) - 6*x(m). Let c(o) = -o - 1. Calculate -3*c(g) - k(g).\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-5 + 1 + 0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 62800 and 320?\nAnswer: 251200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -96*n - 7*u + 6*u = 2*u + 10 + 17, 3*u + 31 - 4 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**5\/7 - 6*q**3\/7 - 4*q**2\/7.\nAnswer: 2*q**2*(q - 2)*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7460 and 200?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.692561 nanograms?\nAnswer: 0.000000692561","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17947 + 27146. What is the thousands digit of z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 16 + 28. What is the highest common divisor of 22 and h?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*s + 2*s - s)*(-60 - 20 - 77) as p*s + t and give p.\nAnswer: -157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 39470\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/29289 - 3543929\/585780. Find the common denominator of -91\/46 and k.\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -8*k + 26. Let u be f(-11). Suppose o = 7*o - u. Suppose 0 = -p + 5*b + o, 7*b = -5*p + 3*b + 95. List the prime factors of p.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1265854684, 2531709369, 3797564054, 5063418739, 6329273424?\n\"Answer: 1265854685*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -642*l**3 + l**2 - 4*l + 4. Give k(1).\nAnswer: -641","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-80)\/(-480))\/(2\/(-18)). What is the fourth smallest value in 2\/21, 115, n, 0.1?\nAnswer: 115","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 14468683?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -7*d**2 + 6*d + 14. Let t(h) = 2*h**2 - 2*h - 5. Let a(u) = -u**3 - 6*u**2 + 74*u + 5. Let g be a(6). Calculate g*t(w) + 6*z(w).\nAnswer: -8*w**2 + 2*w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*l + v + 50, -4*l - 5*v - 16 = -5*l. Suppose -4*g = 2 - l. Suppose 3*p + 6 = g*p. List the prime factors of p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10540, -10513, -10504, -10513, -10540, -10585?\nAnswer: -10648","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the third derivative of f**5\/30 - f**4\/24 + f**3\/2 - 13*f**2. Let v(o) = o**2 + 1. Calculate -6*v(m) + 2*x(m).\nAnswer: -2*m**2 - 2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -8*p**3 - 296*p**2 + 14*p + 290. Let a(u) = -u**3 - 2*u**2 + 2*u + 1. Let r(q) = 6*a(q) - k(q). Factor r(h).\nAnswer: 2*(h - 1)*(h + 1)*(h + 142)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 16 + -14. Suppose p*n + 4*q - 1359 = -q, 0 = -5*n + 2*q + 3383. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*p = 47*p + 12 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -69620 to the nearest 1000.\nAnswer: -70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 91177941 - 0?\nAnswer: 91177941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 5620011 - -1?\nAnswer: 5620012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sum 24 and -1.08.\nAnswer: 22.92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20*(-48)\/(-2560))\/(2\/(12\/(-9))).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -3 + -1*(-9)\/6. Suppose 2*v = -2*n, -5*n + 4*v + 4 = -14. Suppose -n*t + 8 = 2. Which is the closest to t? (a) y (b) -0.5 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -233, -1690, 2\/11, 10\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 11:22 AM?\nAnswer: 558","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**2 + 2. Let i(c) = -4*c**2 - c + 7. Let n be (-11)\/55 - (-42)\/10. Let u be (9\/(-6))\/3*n. Determine u*i(k) + 7*l(k).\nAnswer: k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 4*h - 27. Suppose 4*j = -50 - 2. List the prime factors of q(j).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 629 and 19584?\nAnswer: 724608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 838041 and 270?\nAnswer: 75423690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21 + 31 - 15)*(3*s**3 + 0*s**3 + 0*s**3) + (3*s - 2*s - 3*s)*(40*s**2 - 19*s**2 - 31*s**2).\nAnswer: 131*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 133883115 divided by 388067?\nAnswer: 345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1272 and 636.\nAnswer: 1272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/(h**(3\/5)\/h)*h**(-2\/7)*h**(-3)*h\/h**4 assuming h is positive.\nAnswer: h**(-171\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -6494*p + 1545565. Give l(238).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z = -2*y - 3*y + 35, -3*z = -3*y + 27. Sort 0, z, 11, 2.\nAnswer: z, 0, 2, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 56 and 36.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3 and 4312089?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8768 and 48?\nAnswer: 26304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q + 2*q)*(0 + 0 - q**2) + 0*q**3 + 4*q**3 - 2*q**3 + (-5 + 1 + 1)*(4*q**3 - 9*q**3 + 28*q**3).\nAnswer: -65*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -99\/1942 and 10 - (258\/28 + 0\/9).\nAnswer: 13594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5544 rounded to two dps?\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjupuwjpvvt. Give prob of picking 1 v, 2 j, and 1 w.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -385417*-3\nAnswer: 1156251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/3*1\/2. Let g(o) be the second derivative of -o**4\/3 + o**2\/2 - 17*o + 3. What is g(v)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -19. Suppose 18*a = b*a + 994. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -299888 to the nearest 100.\nAnswer: -299900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 344*o**3 + 545*o**3 - 901*o**3.\nAnswer: -12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -22 + 26. Let p be (9\/18)\/(1\/u). Solve -6*l = -5*o - p*l, -6 = -4*o + 2*l for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -3*v**3 - v**2 + 22*v + 118. Does 30 divide s(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 42918 in -53, -0.26, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 - 2 - (4 - 12012). Suppose 10*v = 5*v + g. Let i = -1040 + v. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 3*u = -3. Let m be (u - -4) + 1*-4. Suppose 2*f - 23 = -m. Solve 2*r = -2*y - f, 0 = -r - 4*y - 16 - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2805.1397 - 2805. Let j = f + -5.7497. Round j to 1 dp.\nAnswer: -5.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2a10cc (base 15) to base 11.\nAnswer: 1166102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 22 or 85\/4?\nAnswer: 85\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m + 4. Let g be q(-6). Let y = -43 - -16. Let n = 3 - y. Calculate the highest common divisor of n and g.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 39*y**3 - 24*y + 42. Let u be l(2). Does u = -0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-153)\/5916*(-54)\/81*(-2)\/4?\nAnswer: -1\/116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3456 and 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1891523?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-28) + -3*(-6892)\/(-42). Let w = -16 - s. Does 14 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 118, 105, 76, 25, -54, -167?\n\"Answer: -g**3 - 2*g**2 + 121","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -38658\/623 or -62?\nAnswer: -38658\/623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3565?\nAnswer: 5, 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v**(-3\/2)*v)*v*v*v*(v**(-4)\/v)\/v*(v\/v**(-5\/6))\/(v*(v\/(v**(2\/13)*v))\/v))\/((v*(v\/(v\/v**1))\/v)**(26\/7))**44 assuming v is positive.\nAnswer: v**(-44483\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3010 and 712080?\nAnswer: 4984560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*y = 4*x + 44, -18*y + 15*y = -3*x - 12 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*d - 10*d - 6*d - 21*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 11 - (2\/(-13) - (-280)\/130). What is the highest common factor of n and 117?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/4 - 471*l**4\/4 - 1405*l**3\/4 - 465*l**2\/4 + 703*l\/2 + 234 = 0. Calculate l.\nAnswer: -468, -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 818142 is divided by 154.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*x = 35*x - 63*x - 352 for x.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -11*w - 8. Let p(i) = 8*i + 6. Let t(n) = 4*p(n) + 3*s(n). Let b(q) = 6*q + 4. Give t(b(k)).\nAnswer: -6*k - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(0 + (3 + sqrt(13)*-1)*-6) + (5 + 2*(sqrt(13) + -1) + 0)**2*1.\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -236, -237, -238, -239?\nAnswer: -240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the second derivative of -l**7\/5040 + l**6\/480 - l**5\/120 - l**4\/12 - l. Let t(m) be the third derivative of p(m). Determine z, given that t(z) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-50)\/30*(-144)\/5. Suppose 0*x = -3*z + 3*x + 39, 0 = -2*x + 10. What is the units digit of l\/20 + -2 - z\/(-5)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 422.7925 millilitres?\nAnswer: 0.4227925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-3) + (-6)\/(-36). Let p = -13 + 12. Let n be p - (-1 - 9\/21). Sort n, k, -0.1 in descending order.\nAnswer: k, n, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1207 and 3675 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/5850 and 32\/2979675.\nAnswer: 77471550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d - 11. Let f(t) = 2*t + 27. Let j(g) = -g - 2. Let b(v) = f(v) + 5*j(v). Determine 5*b(n) + 8*z(n).\nAnswer: n - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 18*l**2 - 4*l + 58. Let j be 22 - (0 + -5 + 10). Is n(j) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of f**7\/2520 - f**5\/60 - f**4\/8 - 2*f**2. Let i(g) be the second derivative of w(g). Find the first derivative of i(c) wrt c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -32827 + 54940. Is 81 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4315?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-1)*l)\/l*l**(2\/51) assuming l is positive.\nAnswer: l**(2\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63*g - 169898 + 410012 = -446775. List the prime factors of g.\nAnswer: 10903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 23*h + 38*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -334, -1188, -2616, -4624, -7218, -10404?\n\"Answer: -s**3 - 281*s**2 - 4*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 23333905?\nAnswer: 5, 7, 666683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5285 and 805?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 67 + -65. Suppose 2*a = -h*x - 4, 2*a - 14 = 3*x + 7*a. Suppose 5*t - 285 = 5*s, 4*t - x*s - 228 = -0*t. What are the prime factors of t?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -319 - h**2 + 319.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 51115843 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 3*i - 54 = 0, 3*i - 7*i = -q - 21. Let l be 38\/(-6)*q\/3. Suppose h = t + l, -5*t + 11 - 1 = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 16 = 4. Suppose 0 = -2*p + 2*t - 6, -t + z = -0. Let l be 15 - 1\/(-1*p\/(-2)). Calculate the highest common factor of l and 52.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = 4*p + 3*o - 56, -5*p = 2*o - 70. Suppose -r = -2*f + p, -5*r - 18 = -5*f + 27. Suppose f*g - 194 = 551. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 405*f**2 - 201*f + 943. Is k(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 2 m when three letters picked without replacement from jmjmojooj.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*j - 5*a + 0 - 29 = 0, j = a + 7 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -a**2 + 6*a - 3. Let d be f(3). Suppose 0 = -k - 3*z + 42, 0 = 4*k + 2*z - 211 + 23. What is the highest common factor of k and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1563*v - 58377 + 153720 for v.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o - 48*o**3 - 55*o**3 + 0*o + 104*o**3.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((6*-2*2*sqrt(119)*6)\/((1*sqrt(84) - sqrt(21))\/(-1*sqrt(27))))**2)*-5.\nAnswer: -15863035","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4857104 is divided by 2539.\nAnswer: 2536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000009957 to seven decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1168227 divided by -389409.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/9 and 46\/2471.\nAnswer: 22239","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 61031810*p**3 + 2644543*p + 1?\nAnswer: 366190860*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.5 (b) -1 (c) 0.106 (d) 188\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -3*y - 32. Let a(z) = -17*z + 39. Let w(c) = 24*c - 41. Let l(k) = -4*a(k) - 3*w(k). Determine -5*f(b) + 4*l(b).\nAnswer: -b + 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 180? (a) -69 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) be the third derivative of 1\/42*w**7 - 1\/15*w**6 + 0*w + 1\/15*w**5 + 0 + 0*w**3 - 1\/336*w**8 + 0*w**4 + 7*w**2. Suppose y(t) = 0. Calculate t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -487 = -2*w - 511. Let d be ((-1)\/((-15)\/w))\/(1\/(-5)). Solve 0 = 3*r + 2 + d for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 - 145330?\nAnswer: -145320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 244 = 5*a - 3*g, -11 = 3*a + g - 163. Let t = 41 + -33. Suppose -18*f + a = -t*f. Solve -14 = 4*m + f*x, 3*m - x - 2*x = 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00089142332 rounded to 5 dps?\nAnswer: 0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 718399799*f**2*p**2 + 8504235*f*p**2 + 14*p**2 wrt f?\nAnswer: 1436799598*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = 2*h**2 + 24*h - 14. Let w be p(-12). Let q(i) = i**2 - 2*i - 1. Let m be q(5). Is (-4)\/m + (-5786)\/w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 913*w**2 + 23 - 14 - 6 to s*w**2 + i*w + r and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*k - 34*k + 34670 = 4414. Calculate the remainder when 992 is divided by k.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2 (b) 0.1 (c) 0.06 (d) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 4:00 PM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 - 1776 - 1908 + 3784)*(-2 + 4 - 3)*(4*c**3 - 4*c**3 - 2*c**3).\nAnswer: -2*c**5 + 200*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 10 = 38. Let t be -72*((-18)\/27 - (-2)\/12). Calculate the greatest common factor of t and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 0 (b) -0.2 (c) -0.097 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 302*i + 582 = 108*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y**5 - 156*y**4 + 1959*y**3 - 7416*y**2 + 9072*y = 0. What is y?\nAnswer: -63, 0, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1559*v - 1552*v + 6218*v + 11*v**2 - 1566*v - 1541*v.\nAnswer: 11*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*g**2 - 1580 + 3*g**2 - 181)*(-3 + 3 + 2*g) to o*g**2 + z + p*g + s*g**3 and give p.\nAnswer: -3522","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = h**3 - 2*h**2 - 5*h - 3. Calculate t(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*p = 5*p + 95. What is the closest to p in 3\/2, 0.1, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 19 - 11. Let n(u) = -u**2 + 11*u + 4. Let r be n(11). Solve r*s + 7*k - 3*k - y = 0, -2*s - 4*k + 8 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 218 in -1\/3, -0.2, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-1\/7)*o*o**11*(o**(-1\/5))**9)**20 assuming o is positive.\nAnswer: o**(1588\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -29 (b) -3 (c) -34\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 6*p - 3 + 1 to the form j + q*p and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28858\/(-49538) - (-2)\/(-31)) + (-3)\/(-3)?\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - 3 - (-30 + (9 - -8)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j**3)\/j)\/j*(j**(-3)*j)\/j*j*j)\/(j*j\/j**(-1\/2))**25 assuming j is positive.\nAnswer: j**(-123\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.048861 * 8.1\nAnswer: 0.3957741","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-1 - (18 + 3))*(-7)\/2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 205491\/76748 - -3\/2741. Find the common denominator of -49\/172 and d.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) be the second derivative of -f**9\/15120 + f**8\/13440 - f**4\/2 - 8*f. Let t(v) be the third derivative of j(v). Factor t(i).\nAnswer: -i**3*(2*i - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 > 6\/721597?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -117 - 1?\nAnswer: -120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.7951768 - 5.5.\nAnswer: -4.7048232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -12.6926 and -5.\nAnswer: 63.463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -986 - -627. Let d = -33 - l. List the prime factors of d.\nAnswer: 2, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 86, -2, 2, -73, 5 in increasing order.\nAnswer: -73, -2, 2, 5, 86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 14.16 rounded to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11 (base 4) to base 12.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 + 7*i + 12. Let x be p(-5). Suppose -4*b = x*m - 230, -5*b - 15 = -0. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -19*q + 22 + 111 for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2566 <= 2567?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 37*c + 17 + 42*c - 70*c - c**3. Is 28 a factor of z(-7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 497757058 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46 - 44. Sort z, 3, -106 in descending order.\nAnswer: 3, z, -106","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 12*z**2 + 153 - 7*z**2 + 26 + 66 - 70*z.\nAnswer: 5*(z - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45 a factor of 271755?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*t = -10*t + 5*t. Suppose -4*k - 2828 = -3*a, -12*a + 11*a + 2*k + 946 = t. Suppose 3*c = -5*c + a. List the prime factors of c.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + 317327 = -m + 1277347, -2*w - 4799990 = -5*m. Round m to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04128 rounded to 3 dps?\nAnswer: 0.041","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3996861690 to the nearest integer?\nAnswer: 1587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 100, -4 in ascending order.\nAnswer: -4, 2, 100","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 2 - 4)*(-4 + 5 - 3)*(-3 + 1 + 0) - 9 + 6 - 4)*(4*g - 6*g + 4*g)*(-42 - 33 + 15)*(1 - 2 + 3).\nAnswer: 3600*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the second derivative of p**5\/4 - 7*p**3\/6 + 6*p. Find the second derivative of y(j) wrt j.\nAnswer: 30*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20068 and 56.\nAnswer: 280952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 16825, 16851, 16875, 16897?\nAnswer: 16917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.1 - 0.1. Let w be 10\/(-4)*(-24)\/15. Which is the nearest to -1\/2? (a) w (b) q (c) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 2*v - 19 = -3, 0 = 4*d - 4*v + 24. Let y(g) = g**3 + 3*g**2 - 5*g + 3. Give y(d).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + t - 1. Let j(o) = -o**3 - o**2 + 5*o - 2. Let p be j(-3). Let z(q) = -60*q**2 + 3. Let g(m) = p*z(m) - 15*b(m). Factor g(f).\nAnswer: -3*(5*f - 2)*(5*f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38124 and 3177?\nAnswer: 38124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 n when two letters picked without replacement from vpggnzgspsggnzzzsvs.\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 2008 - 1640. Solve -10*t + 36 = z for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1043 or 1?\nAnswer: 2\/1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*b - 12, 3*o - 901 + 883 = -2*b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z, -2*z - 21 = -2*k + 1. Let g(d) = d - 8. Let n be g(k). Solve 4*l = 11 - n for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.125 + -18.675. Let a = k - -18.6. Are 6.8 and a equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 - 74?\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.66 in 1.5, 4, 1\/4, -2, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 2545, 5586, 9125, 13162, 17697, 22730, 28261?\n\"Answer: 249*w**2 + 2294*w + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -1740, -2621, -3498, -4371, -5240, -6105?\n\"Answer: 2*m**2 - 887*m - 855","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/69138 and 58\/51.\nAnswer: 1175346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.71 and 15896020.\nAnswer: 15896020.71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.2 in 0.108, 2\/9, -1, -4?\nAnswer: 0.108","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 380*b**3*c**2 + 2*b**3 + 34*b*c wrt c?\nAnswer: 760*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -13618 greater than -1647699\/121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 6*z + 91. Let o be r(-15). Let c be (-4)\/(((-2)\/(-34))\/o). Is 0 less than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-3)\/45*5*300\/(-416) and 111\/182?\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*x**3 + 17360*x**2 + 104268*x + 156456 = 0.\nAnswer: -3, 4346","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (7 - (-2 + 3))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -87882084*0.1\nAnswer: -8788208.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(550) - ((sqrt(550)*1 + sqrt(550) - sqrt(550)) + sqrt(550) + sqrt(550))) + sqrt(550) - -1*sqrt(88))\/((sqrt(22)*1)\/sqrt(11) - 1*sqrt(8))*3)**2.\nAnswer: 891","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*g**3 - 4556*g**2.\nAnswer: -2*g**2*(3*g + 2278)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 - 2 = 4*r + 3, 21720*r - 21728*r - 92 = 3*j for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000000001001100011 (base 2) in base 6?\nAnswer: 5344243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3492053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 93931787858 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a gram in milligrams?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + t**2 - 2*t + 3. Let y be x(2). Suppose f = 4*o - y, 6*o - 8 = 4*f + 2*o. Solve -2*s = -3 + f for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - o - 2*o = 0. Suppose o = 27*q - 28*q + 21. Let y be (q - 1)*1\/(-2). What is y rounded to the nearest ten?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 7, p: 4}. Give prob of picking 2 p.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3573*i**2 - 13388*i.\nAnswer: 7146","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*w - v - 18, -3*v + 5 = -1 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 3035*j + 50. Let f(o) = -30349*o - 495. Let b(m) = 10*f(m) + 99*q(m). Let s(a) = 27*a. Determine 2*b(u) + 225*s(u).\nAnswer: 25*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.176893 nanograms in kilograms?\nAnswer: 0.000000000009176893","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11347606?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-24)\/(-54))\/((-8)\/(-36)). Let u(l) = 39*l**3 + l**2 + 3*l - 2. Let b be u(v). Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66 and 93159.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-8)*288\/(-108)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + 54\/7 + -31?\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-552*f**2 + 71 + 14*f + 554*f**2 - 4)*(-3*f**2 - 4 + 4).\nAnswer: -6*f**4 - 42*f**3 - 201*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -37422, -60, -36 in descending order.\nAnswer: -36, -60, -37422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 1\/5 of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 66 = 2*i. Let x = i + 102. Calculate the remainder when x is divided by 29.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12316 divided by 4.\nAnswer: 3079","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 60 = 3*l. Calculate the remainder when 162 is divided by l.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -106 in 0.1, 2, -1\/8, -2, 1, -2544\/11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 4*s**2 + 18*s + 139. What is t(-9)?\nAnswer: 301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p - 8. Let z be o(8). Suppose -3*h = 4*t - 54 - 46, z = 4*h. List the prime factors of t.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (0\/(-172))\/(1\/(-1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 101\/1116000 and -163\/10416000.\nAnswer: 31248000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 2*g = -2*t + 78, -g + 17 = -t. What is the remainder when 41 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 9\/(-15) - (-186)\/10. Let y be -9*2*(-15)\/j. What is the greatest common factor of y and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 + -2 + (-291)\/54*-1 and 47\/18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -d**3\/3 - 1795*d**2\/3 - 279229*d - 9529239 = 0. What is d?\nAnswer: -879, -37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -434*f + 9789185 = -52313177. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 9*s**2 - s - 425. Calculate c(1).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/3*(-8)\/16?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -j - 79 + 79. Calculate w(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24901002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 540\/25 + (-4)\/(-10). Let t = g - 12. Let q be -9 + 10 + -1 + 30. What is the highest common factor of t and q?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 7078.74 milliseconds?\nAnswer: 7078740000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 10.8 and 3.\nAnswer: 32.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17860*d**2 + 17547*d**2 - 35409*d**2.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 905031 is divided by 571.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 506 and 20666052.\nAnswer: 20666052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 3*w = 2040. Suppose 4*m + 4*d - 568 = 0, m = -4*m + 5*d + w. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -3*m + 4 + 5, 4*m = -k + 7. Let x be 4\/(-2)*(-468)\/k. Is 5 a factor of x\/16 - 1\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -5, -62, 3\/7?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 232 and 8.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 4\/(-6)*(-3 - 0). What is the closest to 0.04 in -1, w, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 51910 and 2030.\nAnswer: 290","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -248*v - 13153. What is h(-53)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 74, 74, 72, 62, 38, -6, -76, -178?\n\"Answer: -a**3 + 5*a**2 - 8*a + 78","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 35*t - 15*t - 480 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (5\/(-3))\/(3\/9). Calculate the common denominator of ((-69)\/9)\/(a\/(-6)) and -1 + 3 + 73\/6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*m**4 + 14163*m**3 + 106132*m**2 + 155613*m - 106110 = 0. Calculate m.\nAnswer: -7074, -5, -3, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-245 - 2667*f + 117 + 128 + 396*f)*(0 + 0 - 2).\nAnswer: 4542*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-49 + 100 - 55) + (12 - 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 32\/5 of a micrometer?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.985 to one decimal place.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) be the third derivative of -n**8\/1120 - n**7\/210 - n**6\/90 + n**5\/20 - 9*n**2. Let l(q) be the third derivative of z(q). Suppose l(y) = 0. What is y?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-10))\/((-92)\/(-345))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 46, 0.78, -37\/11?\nAnswer: -37\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 11 in -4, -3\/8, 1, -0.1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33513?\nAnswer: 3, 11171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 11\/68 + 3\/34. Let m(n) be the first derivative of -1\/2*n**2 - 2*n + 1 + 2\/3*n**3 + a*n**4. Determine v so that m(v) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6402639 + -6759822.\nAnswer: -357183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v + 2*v - 2*v)*(0 - 2 + 4).\nAnswer: -10*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -330, -3, 5 in increasing order.\nAnswer: -330, -3, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b**3 + 11*b**2 - 6*b + 4. Let v be z(5). Suppose 2*p + v = 654. Let w = p + -178. List the prime factors of w.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*b**3 + 15037492*b**2.\nAnswer: 4*b**2*(b + 3759373)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -130, 1721, 6758, 16571, 32750, 56885, 90566?\n\"Answer: 265*n**3 + 3*n**2 - 13*n - 385","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2. Suppose -3*s + 4*s + 6 = 0. Let r(t) = t**2 + 3*t - 3. Let j be r(s). Let u be (j\/(-9))\/(1\/9). Let h(b) = 3*b**2. Determine u*w(x) - 6*h(x).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (58\/(3*(-50)\/(-15)))\/((-2)\/20*2).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -4079, -18219, -42423, -76691, -121023, -175419?\n\"Answer: -5032*t**2 + 956*t - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.08 - 0.68. Let f = 1504 + -1505. Put d, f, -3 in increasing order.\nAnswer: -3, f, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*g + 3*x - x - 722 + 290 = -45*g, -4*g = -40*x + 37*x - 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -10001101110010111001 (base 2) to base 10\nAnswer: -580793","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2032 divide 69668518?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 856.6 + -797. Let j = -65.6 + x. Let w = -1 - -2. Put w, 5, j in decreasing order.\nAnswer: 5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -22 + 31. Let p = i - -11. What are the prime factors of p?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 5*p**2 - 16*p + 3. Determine o(2).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1890317339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 14 divided by 350\nAnswer: 1\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*h - 313 - 36*h + 33*h)*(5 - 3 + 2).\nAnswer: 8*h - 1252","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 322*g**2 + 4068*g - 24398290 with respect to g.\nAnswer: 644*g + 4068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 + (-15 - (12 + -34 + (1 - 1)))?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6*(-12)\/(-120)*(-2)\/(-4)?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -0.1215 - 2.5\nAnswer: -2.6215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 3\/2 (c) 1\/6 (d) -5\/2 (e) -0.08 (f) 30\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -2*m - 2*m + 12, 0 = -2*m - u + 2. Is 7991 - (3 + (-9 - (m - 6))) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 10435 - -15?\nAnswer: 10450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.579 - 0.6596. Let t = u + 0.5516. Round t to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 503634290 to the nearest integer?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -375015 - -4118890\/11. Let h = x - -569. Calculate the common denominator of -23\/3 and h.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 188, 0, -1, -2 in ascending order.\nAnswer: -2, -1, 0, 188","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -3*h - 9*i - 16, 0 = 3*i + 15 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*w**2 + 0*w**2 - 3*w**2 + (17 + 8 + 0*w + 2*w)*(-4*w - 2*w + 3*w) in the form y + t*w**2 + p*w and give p.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1520570395 - 1520570640.0565243. Let d = -246.5565 - q. Let p = -1.5 - d. What is p rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3\/(-9))\/(3\/(-126)). Suppose -z + 6 = g. What is the units digit of 2\/(z\/(-140)) + 2?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = 6259982*k - 72. Let g be f(-4). Round g to the nearest one million.\nAnswer: -25000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = 10, -4*u + 67 = 3*o + 2*o. Let j(a) = a**3 - 21*a**2 + 43*a - 51. Calculate the remainder when j(19) is divided by u.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 6:16 AM?\nAnswer: 7:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 5\/18 and 2\/12 - (1 - -20).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17388846 to the nearest integer?\nAnswer: 259","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8.1 + -10.1. What is the smallest value in l, 1\/4, -2\/13?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 2*y**2 - 2*y + 9528. List the prime factors of z(0).\nAnswer: 2, 3, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - j = 3*k + 2, -3*j = -4*k + 8. Solve k*v - 5*v = 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 - 2. Let g be -3 + 1 - (-9)\/1. Is k(g) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -b + 2*w, -5*b = -8*b + 4*w + 3. Suppose 6*m - m = -b*v + 110, 0 = -v + 2*m + 7. Suppose -v*o = -21*o + 20612. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 608 - -916. Suppose 14*s = 2*s + q. Suppose -7*u = -475 - s. What are the prime factors of u?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/(-8))\/(2\/144*9)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -7*a + 36. Calculate the highest common divisor of 35 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-nine fifths of a day in minutes?\nAnswer: 14112","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q + 2*g - g - 64, -q = -g + 24. Let p = q + 16. Let n(f) = -f**3 - 3*f**2 - 3*f - 2. What is the tens digit of n(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -7*d. Let p(z) = -127*z**2. Give p(a(l)).\nAnswer: -6223*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*j**5\/2 + 4742*j**4 + 2485103*j**3\/2 + 88606060*j**2 + 69845048*j - 17523200 = 0. Calculate j.\nAnswer: -1600, -148, -1, 1\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = c**3 + c**2 + c - 1. Let z = 1 - 0. Let x(h) = -h**2 - h + 1. What is z*t(k) + x(k)?\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 122999312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2016 = 178*d - 1838. Let q = 46 - 9. Sort d, q, 2 in decreasing order.\nAnswer: q, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 + 0)*(-4*m - 1 + 1).\nAnswer: -16*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(6\/34) - 2. Let m(t) = t**2 - 13*t + 14. Let r be m(11). Let a be (-7)\/28 - 42\/r. Calculate the highest common divisor of l and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1540330 to the nearest one hundred thousand.\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.5 (b) 0.1 (c) -341\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 24748.5 rounded to the nearest 100?\nAnswer: 24700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -2*v - 8 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, -4\/7, 14, -4, 0.59, 2\/7, 3?\nAnswer: 0.59","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-12)\/18)\/((-2)\/12). Suppose -4*l + l = 0. Let i = 8 - 6. Solve -5*s - i*w = l, 5*s = q*w - 2*w for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the second derivative of 30*s**5 - s**4\/6 + s**3\/6 - s**2\/2 + 72*s. What is the tens digit of w(1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5461 divided by 1056\nAnswer: 5461\/1056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of 2*p**7\/21 + 2*p**6 - 2*p**5\/5 + 165*p**4 - 2888*p. Find the third derivative of j(t) wrt t.\nAnswer: 240*t**2 + 1440*t - 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 AM and 6:42 AM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -32 + 35. Let g = 3 + 1. Which is smaller: g or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -87556*c. Let n(g) = -8*g**2. Determine n(s(a)).\nAnswer: -61328425088*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 2*y**2. Let z(p) = -257534*p**2. Give z(h(w)).\nAnswer: -1030136*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6.778 - -0.022. Let t = w + -6.80252. What is t rounded to 4 dps?\nAnswer: -0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -12, 5, 8, 98, -1\/5?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 25 + r**3 + 35*r**2 - 63 - 10*r**2 + 27*r + 17*r**2. What are the prime factors of o(-41)?\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 32128.4 to the nearest 10.\nAnswer: 32130","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 2*k - 13 = -5*o, -2*k = -3*o + 7. Suppose 3 = -5*p + 78. Calculate the remainder when p is divided by o + 1 - 3\/3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*j = -2*l - 2, 16*l + 5*j = 18*l - 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(3\/2))**(-3\/14)\/(u*u**(-2\/9))**(-24) assuming u is positive.\nAnswer: u**(1541\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 8*t**2 + 180*t. Calculate h(-23).\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59424?\nAnswer: 2, 3, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2758, -12040, -27848, -50182, -79042?\nAnswer: -114428","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*d - 27*d = 18*b - 31*b + 45, b + 2*d - 9 = 0 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 136538.\nAnswer: 2, 233, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) - (sqrt(171) - ((sqrt(171) + -2*sqrt(171))*-1 - sqrt(171))) - (sqrt(171) + -5*sqrt(171)*2))\/(sqrt(144) - -2*sqrt(144)*2) + -5.\nAnswer: -5 + 9*sqrt(19)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 32\/(-12)*(-60)\/80. Let o = -101 + 101. Put o, -1, -2, f in increasing order.\nAnswer: -2, -1, o, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 1:20 PM?\nAnswer: 6:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of o**3\/3 - o**2\/2 + 1. Let c be m(0). Solve -2 = z - 0*x + x, z - x = c for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in b**5 - 767*b**4 + 48994*b**3 - 142390*b**2 + 140861*b - 46699 = 0?\nAnswer: 1, 67, 697","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -548*d - 819. Is y(-22) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -328\/13*a - 3362\/13*a**2 - 8\/13.\nAnswer: -2*(41*a + 2)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2412 by 4.\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13.9*-2\nAnswer: -27.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1578 - 1577.79. What is the closest to 1 in 0.4, i, -0.3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 3)*(5 - 3 - 4)*(3*l - 5*l + 4*l)*((0*l + 0*l + l)*(-1 + 0 + 0) - 3*l - 5*l + 2*l + 3*l + 2*l - 3*l).\nAnswer: 40*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 58 by 2.\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 82625.61 weeks in hours?\nAnswer: 13881102.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - 3. Let v be 54\/6 - r*1. Let q(x) = x - 9. Calculate q(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + s - 4*s. Suppose 76*d = 77*d - 2. Let w(t) = -141*t**2 + 2*t - d*t + 78*t**2. Calculate y(w(j)).\nAnswer: 63*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(102) - sqrt(102)*2*3)\/(sqrt(384)*1))**2 + sqrt(17) + (1 + sqrt(17))**2 + -4 + sqrt(612)*2.\nAnswer: 1321\/64 + 15*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 0, -71, -5 in descending order.\nAnswer: 1, 0, -5, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -140*a**3 + 119*a**2 - 119*a + 119. Let y(w) = -7*w**3 + 6*w**2 - 6*w + 6. Let i be ((-96)\/8 - -6)\/(-1). Calculate i*g(p) - 119*y(p).\nAnswer: -7*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.859858*3.\nAnswer: -5.579574","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 3*(-3 + sqrt(200) + 1) + (sqrt(200) + -2 - sqrt(200))*-3 + 4 + sqrt(200) + sqrt(200)*-2 + sqrt(200))*-1)**2.\nAnswer: 420*sqrt(2) + 1849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d - 5*n - 3 = 0, 3*d - 221*n + 3 = -216*n for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -2*w**2 - 19*w + 15. Let c(p) be the second derivative of -p**4\/12 - 5*p**3\/3 + 4*p**2 + 2512*p + 1. Calculate 11*c(u) - 6*z(u).\nAnswer: u**2 + 4*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -y**2 + 14*y + 7. Let u be j(11). Suppose -9*o + u = o. Suppose -o*b = b - 155. Is b a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 283, 1195, 2765, 5071, 8191, 12203, 17185?\nAnswer: 23215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3706 - 1120. Let u be 0 + (1 - 1819) + 2. Let c = u + i. What is c rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 24 + -21. Suppose 0 = 8*h - j*h + 5*y - 40, 5*h - 35 = -4*y. Solve 0 = h*l - 16 + 1 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29603585502 - -21\nAnswer: -29603585481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the first derivative of t**5\/20 - 2*t**3\/3 - 2. Let z(x) be the third derivative of v(x). Let h = -9 + 8. What is z(h)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ifaqj. Give prob of picking 1 f, 1 i, and 1 a.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(378)\/(sqrt(6) - sqrt(12)\/sqrt(2)*-6))\/(5*sqrt(63)\/(-2*sqrt(14)\/sqrt(2))).\nAnswer: -6*sqrt(7)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0434583162 less than 16297?\nAnswer: 16297.0434583162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*f**6 + 43064*f**3 + 15*f**2 - 3*f + 17100 wrt f.\nAnswer: 1080*f**3 + 258384","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 36127279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30*g**5 + 1290*g**4 + 4*g**2 - 97420 wrt g.\nAnswer: -1800*g**2 + 30960*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 67 * -20\nAnswer: -1340","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-two fifths of a micrometer in nanometers?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 88 and 209?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1372) + 0 + 4*sqrt(112))*-4 + (sqrt(252) + -3*1*sqrt(252))\/((sqrt(54)*2)\/sqrt(6)))**2.\nAnswer: 104188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -5\/132 and (-17876)\/18942*21\/(-72).\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 985\/66 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 AM and 4:59 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*s**2 - 5*s**3 + 28*s**2 + 26*s**2 - 71*s**2.\nAnswer: -5*s**3 + 7*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -7759139+-0.5\nAnswer: -7759139.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 3*p**2 - 3. Let v be 18\/(-9)*(-2)\/1. Let x(a) = a**2 - 5*a + 6. Let t be x(v). Let d(k) = -2 - 4*k**2 + 3*k**2 + 3. What is t*l(o) + 5*d(o)?\nAnswer: o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9706 is divided by 67?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 501, 5, -0.3, -4, -47\/5, -1\/7 in descending order.\nAnswer: 501, 5, -1\/7, -0.3, -4, -47\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1979 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.948 and 15.\nAnswer: -14.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*o - 3*o + o)*(2 + 5 - 2) + 3 - 2*o - 3.\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*i**4\/3 + 575*i**3\/3 - 2405*i**2\/3 - 2975*i\/3 = 0. What is i?\nAnswer: -119, -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 41*n. Let v(f) = -10*f**2. Calculate y(v(w)).\nAnswer: -410*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by 281.\nAnswer: -2\/281","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 189 times 1010.9\nAnswer: 191060.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 7*w + 2. Let a(t) = 36008*t + 9002. Let b(v) = -4*a(v) + 18004*o(v). Let j(m) = -2*m**2. Determine b(j(x)).\nAnswer: 36008*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence lpvv when four letters picked without replacement from {j: 5, d: 1, v: 3, l: 3, p: 1}.\nAnswer: 3\/2860","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -772*a = -756*a - 1056. Let z(y) = 55*y - 66. Let b(v) = v - 1. Give a*b(t) - z(t).\nAnswer: 11*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 2 = -7. Let g = 36 + -24. Calculate the lowest common multiple of o and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = t**2 + 5*t - 3. Let h be o(-6). Suppose 3*v - 30 = -h*g, v + 20 = 2*v + 3*g. Suppose -3*m + v*a = 5 + 1, -6 = -2*a. What is the units digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 58641 and 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 65352169 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 11:36 AM?\nAnswer: 3:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.954682 and 216322576.\nAnswer: 216322576.954682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 7*i**5\/5 - 3*i - 22. What is the derivative of j(x) wrt x?\nAnswer: 28*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1\/2 + (-147)\/(-14) and 10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1671.3 - -1671. What is the third biggest value in v, -0.1, 7, 44?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 2) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 44\/493479 and 67\/6.\nAnswer: 986958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, 191, 482, 1007, 1844, 3071, 4766?\nAnswer: 7007","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -17773330 to the nearest 100000.\nAnswer: -17800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - 3)*(4 - 4 + 2*c + (2 - 3 + 3)*(0*c + c + c) + 3*c - c - 7*c + (2*c - 2*c - 3*c)*(-3 + 4 - 3)).\nAnswer: -21*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 15 = 5*f, -5*f = -8*f - x + 9. Let m be ((-6)\/(-8))\/(f\/12). Let v(j) = -4*j - 2 - 8 + 13 - 3*j**3 - 2*j**2 + 4*j**3. Calculate v(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 145 + 86. Let l = s + -235. Sort 3, l, -6, -12.\nAnswer: -12, -6, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1bb (base 14) to base 7\nAnswer: -1024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83999 is divided by 500?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - (2 - (-1 + -1) - 1)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 3\/50 of a kilometer?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = 4*b - 1. Let l be (-3000)\/b*400\/6. What is l rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 110, 112, 114?\nAnswer: 116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nsggdssncsggsgddgdd. What is prob of sequence dn?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z - 23 + 7. Suppose 5*x = x + z. Solve x*s = 3*k + 7, -k + 4*k + 1 = -s for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-480)\/56)\/(-10))\/(18\/12)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 - 10*w**2 + w - 13. What is p(10)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x*x\/(x**(-2)\/x)*x)**(-6)*x**(-1\/9)\/(x*(x\/(x**(2\/25)\/x))\/x) assuming x is positive.\nAnswer: x**(-8557\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -9, 4, 39, 108, 223, 396, 639?\n\"Answer: 2*u**3 - u**2 + 2*u - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(3\/10))\/t*t\/(t*t\/t**(-7)*t*t)*t**(2\/15)\/((t\/t**(-1\/2))\/t) assuming t is positive.\nAnswer: t**(-151\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + m**2. Let b(p) = p**3 + 15*p**2 + 14*p + 1. Let o be b(-14). Let n be t(o). Is 4 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1340 - -2?\nAnswer: 1342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3163302 divided by 3\nAnswer: 1054434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 33*p**5 - 8*p**3 - 48*p**2 - 519775*p wrt p.\nAnswer: 660*p**3 - 48*p - 96","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 9*u + 3106 = 3080, -5*i + 46 = 9*u for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3717550 and 2086?\nAnswer: 298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 342797 is divided by 588?\nAnswer: 581","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2277, -8582, -19081, -33768, -52637, -75682?\n\"Answer: n**3 - 2103*n**2 - 3*n - 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*y + 77 = 5*p, -3*p = -5*y - 49. Suppose 21 = s + p. Solve 5*g - 2 = 3*t + 6, -t + 2*g - s = 0 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -87\/5 (b) -9\/2 (c) -5 (d) 0.03 (e) -70\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = 2*w**2 + 17*w + 11. What is the units digit of t(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*v**4 + 7*v**4 + 5*v**4)*(0*v - v + 2*v) + (-4 - 2 + 4)*(0 + 0 - 2*v**5).\nAnswer: 20*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 5*o + 89. Calculate c(23).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-7)\/q*q)**(-19)*(q**(2\/9))**(-31))**(-19) assuming q is positive.\nAnswer: q**(-21565\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**3 + 18*k**2 + 17*k + 41. Let n be v(19). Solve 5*a + b + 3 = -3*b, n = a - b for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 6011899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*s + 9*j + 8 + 13, -4*s = 5*j - 396 + 417 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*x = 20*x - 6 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2295?\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 754 - -535.\nAnswer: 1289","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 4, v: 2}. Give prob of picking 3 l.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 8266950 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/350592 and -47\/47232.\nAnswer: 43122816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1241 and 3.\nAnswer: 3723","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**24\/(n**(-8\/9)*n))\/((n**(-2\/29)\/n)\/(n*n\/(n*n\/(n*n**(-2\/23)\/n*n*n)*n))) assuming n is positive.\nAnswer: n**(155303\/6003)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 7*n**3 + 4*n**2 + 70*n - 209. Let k be g(3). Solve k*j - 239*j = 39 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 580592771?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 689110.1 rounded to the nearest 1000?\nAnswer: 689000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide -206 by -18.\nAnswer: 103\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 880050 minus -5.3?\nAnswer: 880055.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5*131.\nAnswer: -655","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ulnssnsssnsknlnsssns. What is prob of sequence us?\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the first derivative of 2*d**7\/63 - 2*d**6\/45 - 18*d - 3. Let w(k) be the first derivative of p(k). Find v, given that w(v) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -86, 694, 1466, 2230, 2986, 3734, 4474?\nAnswer: 5206","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 13*x**2. Let i(n) = 8*n + 2. What is i(w(h))?\nAnswer: 104*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*f = 111, 0 = -4*t - f - 4 + 95. Suppose 0*s + 24 = 2*h - 2*s, 2*h - 5*s = t. What is the remainder when 33 is divided by h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 122528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1000100100010 + 10101?\nAnswer: -1000100001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = d - 25, -13 + 33 = 4*d. Suppose 5*n + 4*x = 40 - 9, -36 = -g*n + x. Solve -n*j + 7 = -0*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 379*f + 87620. Calculate p(-231).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 201 divided by 3\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 810210 is divided by 363.\nAnswer: 357","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 400 a factor of 486845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 5) to base 3.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (70 + 111 - 12)*(29*u - 29*u - 12*u**2) + (6*u - 3*u - u)*(2*u - 2 + 2) + u**2 - u**2 + u**2.\nAnswer: -2023*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15377593 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = i**3 - 2*i**2 - 2*i. Let m be j(0). Solve m*s + 6 = 2*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -58*h**3 + 13*h - 35. Let u(g) = -29*g**3 + 6*g - 17. Let d(b) = -13*u(b) + 6*z(b). Differentiate d(s) with respect to s.\nAnswer: 87*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17448260 divided by -5\nAnswer: -3489652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 minus 27837?\nAnswer: -27837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**2. Let y(x) = -x**3 + 2*x**2 + 5*x. Let s be y(3). Let p(h) = -5*h + s*h + 3*h - 5*h. Determine p(z(c)).\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - p + 1. Let l be v(2). Let b(h) = -28*h + 22*h - l + 2. Determine b(1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 0 = -20. Let j be (1\/2)\/(k\/(-40)). Let d = j - -7. Let v(l) = -2*l**2 + l - 1. Calculate v(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1275*l - 1274*l = -3*r - 2, 0 = -3*l - 4*r + 4 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.86 in 1.2, -6, -0.3, 19?\nAnswer: 1.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = j**3 - 21*j**2 + 23*j - 17. Let m be z(20). Let c = m - 34. Suppose c*r - 12 = 7*r. Is 5 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 661?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 159 = 51*i - 325 + 25 for i.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*m - m. Let a(x) = -x - 1. Let t be a(-4). Let p(d) = -d**t - m + d**3 + 3*d - 3*d**2 - 5*d - d**3. Give p(-3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of j**3\/3 + 3*j**2 - j - 6. Let i be 21\/18*-2*3. Let v be p(i). What is the greatest common divisor of 4 and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 81*u + 73. Let z = 100 - 96. Is 29 a factor of n(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/8 in -4, -5, 1\/3, -13?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 269028 divided by -6\nAnswer: -44838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 47 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o**2 + 462*o + 10381. Calculate h(174).\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -137\/1764 and 149\/466872.\nAnswer: 1400616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -110 + -1101121?\nAnswer: -1102001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.895635 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7433?\nAnswer: 7433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nmmy when four letters picked without replacement from {n: 1, y: 6, m: 4}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -5*j + 2. Let m = -26 + 36. Suppose -5*g = m + 5. Let y(h) = 1. Let c(r) = g*y(r) - z(r). What is the derivative of c(l) wrt l?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 775 - 607. Calculate the greatest common divisor of 693 and k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 10:42 AM?\nAnswer: 6:58 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -781*m. Let q(j) = 30*j. Let y(v) = 77*q(v) + 3*w(v). Let b(c) = -2*c**2. What is y(b(n))?\nAnswer: 66*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7 - -12. Let i = 24406 + -24405. Let y = 5 + -5.4. Sort y, x, i in ascending order.\nAnswer: y, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.0713 - 2.0713. Let w = 4 - 8.3. Let o = w + 4. Which is the third smallest value? (a) 15 (b) o (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = -4*z - 47, -20*f + 17*f + 3*z = -30. Solve -12*y + f*y - 20 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2145, -4332, -6531, -8748, -10989?\nAnswer: -13260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1272*x + 19*x**2 - 21*x**2 - 84*x.\nAnswer: -2*x**2 + 1188*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-16)\/10)\/(((-1156)\/255)\/17).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 199475*g**3*i*q + 2594*g**3 - 5*g**2*i + 5805*g*i - 53*i*q**2 wrt q?\nAnswer: 199475*g**3*i - 106*i*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57481 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(60\/(-15)))\/((-47)\/6298).\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 117 and 117.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:39 AM and 4:52 PM?\nAnswer: 553","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 179624903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -45284718, -45284717, -45284716, -45284715, -45284714, -45284713?\nAnswer: -45284712","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15800*l**4 - 2*l**3 - 2*l**2 + 1803.\nAnswer: 63200*l**3 - 6*l**2 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:49 PM and 4:45 PM?\nAnswer: 236","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -23 + -2 + 26 + 31\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 4*x = -2. Let j = 2 - x. Solve j = -0*o + 3*o - 3 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 589.6 - 590. Which is the second biggest value? (a) -21 (b) l (c) -11 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -285*g - 1970 = -88*g for g.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 241987\/74 + -3270. Let f = -2513 + 9983\/4. Calculate the common denominator of g and f.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*y + v + 7 = -40*y, -3*y - 5*v - 23 = 0. Suppose p - 2*p = -4. What is the second smallest value in p, -3, y, -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j + d = -3*d + 18, -3*j = 4*d - 14. Let m = 2 - j. Solve -3*b = -5*a - 5, a + m*a - 12 = -2*b for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -93*d**2 + 44*d**2 + 48*d**2 in the form q*d**2 + y*d + n and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6575*0.8.\nAnswer: 5260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 equal to -252\/65?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (7 - (8 + -1))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 220 + -238?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2022306 + -5?\nAnswer: -2022313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -30868 or -7655091\/248?\nAnswer: -30868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -p**2 + 6*p + 1. Let i(q) = 19*q + 13. Let s(a) = i(a) - 3*z(a). Let u(f) = -2*f**2 - f - 9. What is -6*s(w) - 7*u(w)?\nAnswer: -4*w**2 + w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d**2\/5 + 395674*d\/5 - 1582664\/5 = 0.\nAnswer: 4, 197833","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -14.215 + 0.215. Let h = q - -13.232. Round h to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 1686*n + 1976. What is c(-1)?\nAnswer: 290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 870505 is divided by 182?\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 13) + (-249 - -253).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -0.464 (c) 2\/7 (d) 0 (e) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the first derivative of -u**3 - 3\/20*u**5 + 6 - 3\/4*u**4 + 0*u**2 + 0*u. Let t(m) = 0. Calculate m.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 7374 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -137338 or -137340?\nAnswer: -137340","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4420 + 4420 - 35*z - 16*z - 10*z.\nAnswer: -61*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12 - 8. What is the derivative of -z - 1 - n**2 - 2*n + 2*n wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) be the third derivative of -l**4\/6 - 2*l**2. Let n(z) be the third derivative of 3*z**5\/20 - z**3\/6 + 2*z**2 - 353*z. Determine p(n(o)).\nAnswer: -36*o**2 + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -1, -3, 1\/7, 4\/5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1754\/13 less than or equal to -136?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = 3*o - 3*x + 4*x, -o = -x - 12. Is 10 at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c*c*c**(-1\/6))\/((c*c*c*c**(-1))\/c))\/(c**2*c*c**0\/c))\/((c*c*c**(2\/9)*c*c*c*c**(4\/3))\/(c\/c**0)**(-5\/11)) assuming c is positive.\nAnswer: c**(-1619\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 10 = -h, -4*h - 3*w - 4 = -0. Solve -1 = -u + h for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -56645.944 rounded to the nearest one hundred?\nAnswer: -56600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 25*u - 54. Calculate l(11).\nAnswer: 100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -15*p**2 - 77*p - 11. Let r(x) = -8*x**2 - 42*x - 6. Let d(t) = -11*r(t) + 6*y(t). Let o(u) = -339*u**2 + 1. What is o(d(c))?\nAnswer: -1356*c**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 8:19 AM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 145.2133 rounded to the nearest ten?\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 584 minutes after 5:43 AM?\nAnswer: 3:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 4*r**3 - 164*r**2 + 1944*r - 6624 = 0.\nAnswer: 6, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (5 - 1)*-1*21\/(-14). Find the third derivative of 20*f**c + 8*f**2 + 3*f**4 + 8*f**2 - 3*f**4 wrt f.\nAnswer: 2400*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -31407, -31087, -30767?\nAnswer: -30447","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 5*u - 32 = 0. Solve 3*x + 18 = -u*w, x + 3*w = 6*w + 7 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 AM and 5:40 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ra when two letters picked without replacement from rgaaarruafaua.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*c - 133 + 47 - 28 for c.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 10, -2*p + 0*z + 214 = -4*z. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange i**3 - i**3 + 2*i**3 + (171*i + 266*i + 40*i)*(2*i**2 - 4*i**2 + 0*i**2) to the form x*i**3 + p + u*i**2 + h*i and give x.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1112110 + -100?\nAnswer: 1112010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 312192 is divided by 311464.\nAnswer: 728","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778550765 to the nearest integer?\nAnswer: 920","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**2 - z - 1. Let v(l) = -10*l**3 + l**2 + 5*l + 3. Let y(b) = 3*n(b) + v(b). What is the units digit of y(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 117 divided by 111282\nAnswer: 39\/37094","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w - 1. Let l(h) = 19*h + 9. Let r(n) = l(n) - 2*s(n). Let b(o) = 6*o + 4. Suppose -3*d + 20 = 2*d. Let z be 1*3\/1 - 14. Give d*r(t) + z*b(t).\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-923)\/(-7) + 3\/21 + 0. Suppose 3*v + 3*b = b + w, 3*v - 2*b - 120 = 0. Is 14 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 2*w**2\/3 + 398*w - 4872 = 0.\nAnswer: -609, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -14.38 times -483\nAnswer: 6945.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-20) - (-58910)\/41100)*(0 + (-9)\/111)?\nAnswer: -4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -880 divided by 40.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.99 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.2 + 2. Let y = 0.12065 - 0.62065. Which is the nearest to t? (a) y (b) 3\/4 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + 39. Let f = c - 43. Is f smaller than 1\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i**4 + 212*i**3 + 203*i**3 - 64 + 64*i - 431*i**3 = 0 for i.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 31*t**5 - 4*t**3 + 9*t**2 - 4*t. Let o(y) = y**5 - y**3 - y**2 - y. Let v(r) = -4*o(r) + x(r). Find the third derivative of v(k) wrt k.\nAnswer: 1620*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 3*h = 30, -r = -4*h - 0 - 28. Suppose o + r = 7*o. Find the second derivative of -12*f**2 + 14*f - o*f**2 + 16*f**5 + 18*f**2 wrt f.\nAnswer: 320*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 0*y - 5*y + 4*y)*(-140*y - 621*y - 226*y - 106*y) in the form u*y**2 + l*y + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.758721+0.137252\nAnswer: 0.895973","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 259?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3 (b) -5 (c) 652328 (d) -0.24 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -2 + (-17)\/((-153)\/(-16))?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4)\/(-16))\/(3\/(-4)))\/1.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 555 - 553. Solve -n*x = 4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5*15*437\/1425?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5*i**2*v - 16*i**2 + 19*i*v + 13*i - 13*v**3 - 2 wrt v?\nAnswer: -5*i**2 + 19*i - 39*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -84 + 154. Suppose 3*v - t = -36, -5*v + 10 = -4*t + a. Let g = v + 30. What is the units digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*s - 5*k + 2, 3*s - 85 + 25 = -3*k. What is the remainder when 1034 is divided by s?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-1)\/(-1) - 1. Suppose 0 = i - 3*t + s + 5, 18 = i + 5*t. What is the second derivative of -i*h - 2*h**3 - h + 5*h wrt h?\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-10)\/(-135) + (-28)\/(-207)\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/47, 1.0119, 0.4, 0.3 in descending order.\nAnswer: 1.0119, 0.4, 0.3, 2\/47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Are 400\/833 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 160, 312, 464, 616?\nAnswer: 768","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 21027992 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 56 - 50. Suppose -3*m = -h + 6*h - 1, -5*m + 12 = -2*h. Calculate the lowest common multiple of g and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 174 * -2\nAnswer: -348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 4*i + 2. Suppose 0 = 3*l + 5*g - 3, -4*l + l + g = -21. What is the smallest common multiple of w(2) and l?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z - 1. Let q be w(7). Suppose -4*a + 4*s + 70 = q*s, 0 = 5*a - s - 77. What is the least common multiple of a and 42?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 80790.\nAnswer: 2, 3, 5, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 10087663?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 16*c**2 - 39*c + 36. Let q(x) = 3*x**2 - 8*x + 7. Let u(t) = 2*p(t) - 11*q(t). Let a be u(9). Solve 0 = 2*y + 4*r - a, 0 = -2*r + 5*r for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -685190 divided by -685190?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 2*d)*(4*d**2 - d**2 - 2*d**2) - 3*d - 4*d**3 + 3*d + (0*d - d + 0*d)*(-3*d**2 + d**2 + d**2).\nAnswer: -5*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -264 - -264. Let h(w) be the third derivative of 1\/6*w**3 + 3*w**2 - 1\/12*w**5 + o + 0*w + 0*w**4. What is the first derivative of h(a) wrt a?\nAnswer: -10*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*z = 161 + 139. Solve -14*w + z = 52 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -14*r**3 - r**2 - 20*r - 13. Let t(s) = -15*s**3 - 15*s - 13. Determine -3*g(f) + 4*t(f).\nAnswer: -18*f**3 + 3*f**2 - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64223076?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 8 - 8. Put -1, 2\/5, d in descending order.\nAnswer: 2\/5, d, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2025681 (base 10) in base 9?\nAnswer: -3726636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:29 PM?\nAnswer: 10:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1*(-5 + -2) + (-5 - -2). Sort 2, z, -1, -4 in decreasing order.\nAnswer: z, 2, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 64269 * -0.03\nAnswer: -1928.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13 + 27\/2. Suppose z + 3*z - 8 = 0. Factor x - w + 1\/2*w**z.\nAnswer: (w - 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.695 times 0.13?\nAnswer: -0.09035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = 13*a**2 + 5*a + 37. Let h(w) = 3*w**2 + w + 9. What is -9*h(n) + 2*p(n)?\nAnswer: -n**2 + n - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in -9\/4, -1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 + (3 - 38\/8). Factor 0 + k*i**2 - 1\/4*i**3 + 0*i.\nAnswer: -i**2*(i - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(384)\/(sqrt(12) - (sqrt(12) + sqrt(108) + sqrt(12))*3) - -6*((sqrt(4)*2)\/sqrt(2) + (sqrt(2) + -1 - sqrt(2)) + -4))**2.\nAnswer: -57548\/49 + 4920*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = 35*a - 5. Let d be z(4). Calculate the highest common factor of 54 and d.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*n + 19*n + 57. Let k(v) = -v**3 + 19*v**2 + 14*v - 14. List the prime factors of k(n).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (3 + -13 - -7))*5\/2\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 52 = 3. Suppose 2*r + 91 = 4*a - a, 5 = 5*r. Let u = a - q. Calculate the lowest common multiple of u and 2.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 5*n + 14. Let l be x(-4). Let t be (-3)\/l - 10\/(700\/63). Is 0.52 greater than t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*u**2 + 236 - 250 - 28*u**2 to z*u**2 + g + h*u and give g.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3*p**2 - p**3 + 2 - p**2 + 5*p + 3. Let y be w(-5). Suppose 10*s = 9*s + 5. What is the greatest common factor of s and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1220655 is divided by 368?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*o + 6788 + 7148 = 13656 for o.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2879*v - 37425. Let u be n(13). Factor -8\/5*l**u + 13\/5*l - 6\/5 + 1\/5*l**3.\nAnswer: (l - 6)*(l - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 513 - 73?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f*(f*f**(2\/5))\/f)\/f)**(-9\/10)*(f*f\/(f**(-2\/7)*f))**(-18))**34 assuming f is positive.\nAnswer: f**(-139842\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -20, 10.5645 in increasing order.\nAnswer: -20, 3, 10.5645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 441 = 2*w, s + 52 + 383 = 2*w. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lxxxqqlxqq. What is prob of sequence qxx?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 divided by -1589.\nAnswer: -1\/227","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 246, 486, 748, 1044, 1386?\n\"Answer: 2*j**3 - j**2 + 229*j + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -66*a**2. Let f(n) = 6*n. What is i(f(b))?\nAnswer: -2376*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -149 = 9*f - 95 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1208112 a multiple of 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 35158177 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 1. Let i(d) = -2*d + 7. Let x(q) = i(q) - 6*l(q). Let h = -3 - -4. What is the units digit of x(h)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -561 by -6.\nAnswer: 187\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -10*q**2 - 1. Let b be f(1). Let u = -11 - b. Solve u = 5*r - 0*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19)\/((-969)\/34)*(-6)\/(-40).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 54040438847 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 319.15 and 0.66.\nAnswer: 210.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00043231 to 4 dps.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((15\/50)\/(3\/2))\/((-220)\/300).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**2\/5 - 1051193908*i\/5 + 138126079027039058\/5.\nAnswer: 2*(i - 262798477)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 70055618?\nAnswer: 2, 73, 479833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 53 by 53.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 15050022226 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -53*y**3 - 12*y**2 + y + 5. Let f(m) = 107*m**3 + 21*m**2 - 2*m - 10. Calculate -7*d(a) - 4*f(a).\nAnswer: -57*a**3 + a + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -606\/8027 or 17?\nAnswer: -606\/8027","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) be the second derivative of -3111*v**5\/20 + 227*v**4\/4 - 701*v + 1. Find the third derivative of a(u) wrt u.\nAnswer: -18666","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -123*j - 30. List the prime factors of f(-5).\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.7. Let g = 0.3 - 0.6. Let r = -0.5 - g. Sort r, -2, q in ascending order.\nAnswer: -2, q, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 4*z + 968, 3*r - 989 = -2*r - 3*z. Does 6 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (9\/(-4))\/((-4)\/112) is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*f + 148*f + 1670 = 426*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + 18. Suppose 0 = -3*b + 38 - 2. Let d = b - c. Solve -21 = i - d*z, 4*i + 4*z - 1 = -5 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(637) - (1 + sqrt(637)))*-5*-3)**2.\nAnswer: 675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.001811 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + 2*z + 5. Let q = -9 + 4. Suppose 0 = 3*t - 30 - 24. Calculate the lowest common multiple of t and h(q).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 283 minutes before 3:52 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 5, e: 5, o: 8}. What is prob of picking 2 s and 1 e?\nAnswer: 25\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add -4037.1 and -37.\nAnswer: -4074.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-42)\/7*4\/(7\/(14\/16)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 13*q**2 + 3*q - 28. Calculate y(14).\nAnswer: -182","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 1\/9*(-74)\/(-37)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 99543799 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 75*y + 105418 = 74*y, 2*j - 2*y = 52700. What is the thousands digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -128821.\nAnswer: -81\/128821","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((d\/(d*d**(-3\/11)\/d)*d**(-2\/5))**(-40))**27)**(7\/5) assuming d is positive.\nAnswer: d**(-72576\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (30\/6)\/(-5) + 4. Solve u - 13 = g*p, -9 + 1 = p - 4*u for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 92.4057 years?\nAnswer: 9.24057","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - 0.22. Let n = l - -15.02. Let d = n - 20. Sort 2, 2\/13, d.\nAnswer: d, 2\/13, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/4*4\/(-6))\/(11628\/10336)?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1, 3, 8, -17 in descending order.\nAnswer: 8, 3, 2, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, -6\/5, -3, 0.3, 3 in descending order.\nAnswer: 3, 0.3, -6\/5, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1453113.\nAnswer: 3, 53819","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -72, -236, -476, -786, -1160?\nAnswer: -1592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(-9) + (-380)\/90. Which is the closest to 1? (a) z (b) 2.1 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*n**2 + 11*n**3 - 3*n**3 + 38*n**2 - 21*n**2.\nAnswer: 8*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -310*h + 621. Give w(2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 3, -11\/5, 0.0143, 0.037?\nAnswer: 0.0143","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37474970?\nAnswer: 2, 5, 13, 17, 31, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(1\/7)*b*b\/(b\/(b**2*b))*(b**(-6)*b)\/b*(b\/b**(-7))\/b assuming b is positive.\nAnswer: b**(36\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 670498849 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -6253.9 and -0.5?\nAnswer: 3126.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -4194780 rounded to the nearest ten thousand?\nAnswer: -4190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -3 + 4 + 1*sqrt(567).\nAnswer: 5 + 9*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 50 - 24. Does 26 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c**3 - c + 133. List the prime factors of z(0).\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -479*q**2 + 101 - 54 - 47 to l*q + n + a*q**2 and give a.\nAnswer: -479","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(49)\/((sqrt(14)*-4)\/sqrt(2)))**2.\nAnswer: 7\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 237\/7 - 1171\/35. Let n = 278 - 276. What is the smallest value in n, 16, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 54 - 369. Let x = n + 154. What are the prime factors of x?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*r - 121*r - 18*r = 59*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:55 AM and 4:14 PM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 131\/34560 and 55\/58752.\nAnswer: 587520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -352, -2685, -8998, -21283, -41532?\nAnswer: -71737","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 7, n: 2, g: 4}. Give prob of picking 3 g and 1 n.\nAnswer: 8\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) be the second derivative of 0 + 0*u**2 + 137\/20*u**5 - 23\/2*u**3 + 132*u + 0*u**4. Find the second derivative of g(m) wrt m.\nAnswer: 822*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1548)\/(-215))\/((-36)\/45).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.1, 297, -1\/8, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 187508341 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -5\/6331 or -115\/6?\nAnswer: -115\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -185430*l**3 + 4*l**2 + 6*l - 44. Let i be d(3). Round i to the nearest 1000000.\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (-3 - -4) + 5 + -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the second derivative of -113*m**5\/40 - 269*m**3\/6 + 167*m. Let r(u) be the second derivative of j(u). Let o(k) = 2*k**2. What is r(o(y))?\nAnswer: -678*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 132\/(-55)*(-22)\/(-88)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 + 7*k**2 + 3*k - 14. Let d be x(-6). Suppose -2*a = -6*a - 16, -488 = -3*y + 5*a. Let p = y + -154. Put p, -2, -6, d in descending order.\nAnswer: d, p, -2, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 329 divide 481549895?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let l(t) = 4*t**2 - 4*t**2 + 26*t**2. Determine i(l(g)).\nAnswer: 52*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 25. Suppose 2*m - i*h = 6*m + 960, -4*h = -16. Let x = 374 + m. What are the prime factors of x?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/4)\/((-3)\/372). Suppose -282 + 38 = -5*l + 2*d, l + 4*d = x. Suppose b - 2*b = -l. Calculate the remainder when b is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 minutes after 1:11 AM?\nAnswer: 1:12 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Solve -51*y - 11*v - 12*v = -55*y - 180, 3*v = 2*y + 56 for y.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 15 - -39. Suppose -x + 83 = d. Does 5 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**6\/(j*j**(-10)*j))\/(((j\/j**(-1))\/j)\/(j*j\/((j\/(j*j**(-8)))\/j*j)*j*j)))**(-33) assuming j is positive.\nAnswer: j**(-297)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/5 in 4, -3\/32, -1?\nAnswer: -3\/32","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 49 - -67. Let t = -81 + n. Let c = t - 30. What is the nearest to 1 in 6, 0, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 2*d + 1552 = -0*d, -f + 2*d = -504. What are the prime factors of f?\nAnswer: 2, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14600 by -292.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/(-28))\/(35\/49).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3400, 6937, 10486, 14053, 17644?\nAnswer: 21265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -5*c - 2*t, 2*c + t = 4*t - 12. Find the third derivative of c*r**2 - 4*r**2 + 6*r**6 - r**6 wrt r.\nAnswer: 600*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 50 = -5*l, 0 = -3*l - 5*u - 3 + 10. Let v(k) = -5*k + 0*k + 1 - 3 - k**2 - 2*k. Let t be v(l). Solve 4*c = t*w + 6 + 2, -2*c + 2 = -3*w for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 19*j**2 + 13*j - 54. Let s be n(4). Let a = s + 245. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30\/4*1036\/(-370).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ototoorr. What is prob of sequence tto?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 25*r + 27. Let s(t) = -51*t - 53. Let j = 55 - 66. Let n(c) = j*a(c) - 6*s(c). What are the prime factors of n(5)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1944630822?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1344 - 1182. Suppose 48*q + s = 57*q. Suppose -o = -5*o - 4*v + 52, 4*o = 4*v + 28. What is the remainder when q is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4 + 3. What is the remainder when 16 is divided by (2 + x)*3*3?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x = 3*x - 6. Let l(c) = c**3 - c**3 + 2*c**x + 2 + c**3. Let z(t) = 20*t - 382. Let v be z(19). Calculate l(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 3*y + 24 = 0. Suppose -4 = -4*u + 6*u, -3*u - 86 = -y*s. Calculate the lowest common multiple of 16 and s.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of -u**7\/126 + u**6\/12 - u**5\/4 + 5*u**4\/18 - 22*u**2 + 8*u. Let o(a) be the first derivative of r(a). Factor o(l).\nAnswer: -5*l*(l - 4)*(l - 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 114 - 110. Sort 1, -11, m in decreasing order.\nAnswer: m, 1, -11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 4 (b) -2\/13 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1774*w - 16171 + 6923 = -80208 for w.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 8.238 + 171.942. Let m = 7.5 + -184.5. Let h = y + m. Round h to one decimal place.\nAnswer: 3.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -103\/52 and -67\/84.\nAnswer: 1092","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = h**3 + 3*h**2 - 5*h - 6. Let n be c(-4). Let z = 12 + 3. What is the remainder when ((-3)\/n)\/(6\/112) is divided by z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 29) + 2617 + -2612 - (8 - -1)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a**4\/5 + 72057*a**3\/5 - 43238*a**2 - 144120*a = 0. What is a?\nAnswer: -72060, -2, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Are 1\/13 and 4481 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-3)*15\/5. Let v be -1 + 6\/8*u. Is (-25 + v)*(2 - 3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 360368?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1117353108?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, 6, 4 in ascending order.\nAnswer: -26, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 2, 2\/11, -7.4, 0.1, -5, -1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of s**5\/15 - 11*s**2. Let r(m) = 4*m. Determine r(w(i)).\nAnswer: 16*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -4442000 rounded to the nearest 100000?\nAnswer: -4400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 5 + -3. Suppose 5*h - 225 = y*n + 2*n, -n = 4*h - 201. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -p**3 - p**2 - p - 3. Calculate the remainder when x(-3) is divided by 3.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -3\/7, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 39029, 38572, 38153, 37790, 37501, 37304?\n\"Answer: 3*o**3 + o**2 - 481*o + 39506","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -3*g - 649240, 5*n + 15*g = 17*g + 649235. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2334.62 and 0.02.\nAnswer: -46.6924","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.13831 take away -425844?\nAnswer: 425843.86169","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 78343.\nAnswer: 157, 499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -8 + 11. Let o = t + -3. Suppose o + 1 + 2 - 1 - 2*a**2 = 0. Calculate a.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - 16*s + 4. Let f(u) = -u**2 - 15*u + 5. What is -3*f(t) + 4*q(t)?\nAnswer: 7*t**2 - 19*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*-182*216\/(-3744).\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3070024790 rounded to the nearest one hundred thousand?\nAnswer: 3070000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0011652143 rounded to six dps?\nAnswer: 0.001165","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 40 = 5*s, -19 = -5*s + 4*h + 16. Let x(p) = -2*p + 2. What is the smallest common multiple of x(-1) and s?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3*h + 53 = 0, -h + 8 = 4*t - 31. Suppose -t*q - 1397 = -6967. Does 41 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(15*1\/20).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1603?\nAnswer: 7, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve r**4 + 301096*r**3 + 301093*r**2 - 602190*r = 0.\nAnswer: -301095, -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 3 = -y, 3*y + 4*s + 3 - 13 = 0. Find the second derivative of 16*b**y + 20 - 20 + 8*b wrt b.\nAnswer: 32","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 45862097 or 1\/2?\nAnswer: 45862097","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/7 - (-207)\/63. Let o = m - -63. Is 6 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.1 - 12.59704.\nAnswer: -12.69704","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, -54, 390, 0, -5, 2 in decreasing order.\nAnswer: 390, 6, 2, 0, -5, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 826.7074 weeks to milliseconds.\nAnswer: 499992635520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 268831.9 nanometers in millimeters?\nAnswer: 0.2688319","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxmmmmxxmxx. What is prob of picking 2 m?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 11*w**2 - w - 3. Let y(l) = 2 - l**2 - 3*l**2 - 2*l**2. Let p(n) = 3*k(n) + 5*y(n). Let h(m) = 3 + 3*m**2 + 4*m**2 - 7*m - 1. Give 4*h(c) - 9*p(c).\nAnswer: c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 11) to base 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9190 - -10723. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 46, -4\/3, -1\/3, -0.1, -2\/19?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -521.8 - -331. Let j = p - -188.3209. Let r = -2.49 - j. Round r to 3 dps.\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 11. Solve 4*l - s - 2 = 4*w, l + 4*w = 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q - 3*v + 25 = 0, 3*q - 41 + 1 = -5*v. Let x(f) = f**2 - 5*f + 3. Let l be x(6). Let y(h) = -9 - h + q*h + l. Let t(p) = 2*p**2. Determine y(t(r)).\nAnswer: 8*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3164*51\nAnswer: 16.1364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18562320 divided by -103124.\nAnswer: 180","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*m + 5*m - 4*m)*(-30 - 31 + 24)*(0 + 0 - m**2).\nAnswer: -111*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 14*j**2. Let u(k) = 1 + 9 - 7 + 5*k. Let q(l) = -3*l - 2. Let c(d) = -3*q(d) - 2*u(d). What is c(t(f))?\nAnswer: -14*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = i**3 - 10*i**2 + 11. Let r be s(11). What is r rounded to the nearest ten?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -227757.122 and -0.0041.\nAnswer: -227757.1261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(136) + sqrt(136)*-4*-1)*4)\/(((sqrt(8) - (sqrt(96)\/sqrt(3))\/sqrt(4)) + (sqrt(8) - (sqrt(8) - 1*sqrt(72))))*-1).\nAnswer: 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -127 (base 11) in base 8?\nAnswer: -226","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 9539178 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6240 + 66?\nAnswer: -6141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2494 and 430?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9594\/(-205))\/(-13)*((-800)\/(-24))\/(-10)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 18 = -3*z, 7 = 4*z - v - 5. What is the second derivative of 16*j + 13*j**2 - 23*j**z + 10*j**2 + 28*j**5 wrt j?\nAnswer: 560*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 - -6 - (-221 - (-150 - 174))?\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 38 + 498 = 6*p. Let v be 52\/12 + (-2)\/6. Suppose 0 = b + v*b - 110. What is the lowest common multiple of b and p?\nAnswer: 1012","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -8*g + 17. Let r be f(3). Let v be 7 + r + 7 + -1. Is v greater than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that 162*l**4\/5 + 1062108*l**3\/5 + 1740972026*l**2\/5 + 386843336*l\/5 + 21490568\/5 = 0.\nAnswer: -3278, -1\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1662 (base 13) in base 3?\nAnswer: -11111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1887 and 3.232?\nAnswer: 6098.784","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -9129 - -9128.8. Sort 0.5, u, 1\/9, 7, 12 in decreasing order.\nAnswer: 12, 7, 0.5, 1\/9, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hxxxexmy. Give prob of sequence yhxx.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the third derivative of 1\/840*v**8 - 1\/175*v**7 + v**2 - 1\/150*v**5 + 0*v**3 + 0 + 1\/100*v**6 + 0*v**4 + 0*v. Factor m(g).\nAnswer: 2*g**2*(g - 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1656 and 323656.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -i**2 - 16*i - 40. Let s be f(-8). What is the greatest common divisor of 8 and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33*w + 959 - 200 = 0. Let a = 166 + -91. What is the remainder when a is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*q**2*w - 25*q**2 + 525*q*w - 286007*w wrt q.\nAnswer: -4*q*w - 50*q + 525*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 - -408. Suppose 5*w + 0*i + 5*i - 745 = 0, w - q = -2*i. Suppose -9*j = 9*j - w. Solve k + 3*k + j = 0 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.3751 + -0.0751. Suppose -2*q - 2 = -4*m, 5*m + q - 4 = 3*q. What is the closest to -1 in 91, m, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1332.067 to the nearest integer.\nAnswer: -1332","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3\/8, 4587, 7, 0.3, -7, 0.06 in increasing order.\nAnswer: -7, 0.06, 0.3, 3\/8, 5, 7, 4587","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 + 27. Let b be (-5 - (-56)\/(-2))*4\/m. Calculate the highest common factor of b and 198.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5214 divided by 66?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - -10. Let s = 10 + a. Let v(d) = 5*d**2 - 2*d + 2. What is the remainder when v(4) is divided by s?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 4*n**2 - 2*n - 2. What is the lowest common multiple of 26 and i(-4)?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/(-290) + (-12)\/3150*-21*25\/(-10).\nAnswer: -1\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -532\/5, -2, 1\/67 in increasing order.\nAnswer: -532\/5, -2, 1\/67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -625 divided by -5\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p, 1 v, and 1 t when four letters picked without replacement from putuppttuvuupvtupvv.\nAnswer: 40\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17822205?\nAnswer: 3, 5, 17, 23297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n*n**(2\/9)*n\/((n\/n**(-1))\/n))\/(n\/(n\/n**(-6))*n\/n**(-1\/4)*n) assuming n is positive.\nAnswer: n**(215\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**2 + 2*a**2 + 10*a**2 + 2*a**2.\nAnswer: 13*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**2 + 3*l - 2. Let y be u(2). Suppose -2*t - 4*z = -5*z - 9, 0 = -t + z + 6. Let q(g) = -g - g**2 + 4 + 2 + 2 + g**t + 0. Calculate q(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.7 + -1. Let h = -2 - -2. Suppose h = -5*w + p + 3*p - 25, 5*p - 27 = 2*w. Which is the biggest value? (a) d (b) w (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-10)\/65 + (-249)\/(-13). Suppose -y - x - 4*x - 6 = 0, -3*y + 20 = -4*x. Solve -5*p - j = -y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 124cc + 6?\nAnswer: 12505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1244 is divided by 403?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -a + 1. Let b(g) = -1. Let f = -13 - -7. Let r be (-35)\/(-6) - f\/36. Let n(v) = r*b(v) - w(v). Give n(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -323013 - -30112?\nAnswer: -242401","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.17, -5, 4, -3.\nAnswer: -5, -4, -3, -0.17, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13336.\nAnswer: 2, 1667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 + 24)\/3*1. Let y be 2\/(-4) - (-4)\/r. Factor a**4 + a**3 + 2*a**2 + y*a**3 + 2*a**3.\nAnswer: a**2*(a + 1)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*n**3 - 2*n**3 - 6*n**2 - 2*n + 3*n**2 + 0*n**3 to f + j*n**3 + b*n + z*n**2 and give z.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -244220143 (base 5) to base 10\nAnswer: -1163798","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) be the second derivative of 0 + 0*h**4 + 0*h**3 - 27\/20*h**5 + 35*h + 23\/2*h**2. Differentiate k(v) wrt v.\nAnswer: -81*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9328 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 13, 4, 1\/2537?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -15, -5, -17, 9, -1, 14, 5 in increasing order.\nAnswer: -17, -15, -5, -1, 5, 9, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**2 - 5*r + 3. Suppose g - 5 = -9. Suppose -k - 2*p + 45 - 18 = 0, 4*p + 108 = 4*k. What is the remainder when k is divided by d(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-17)\/4 + (-2)\/(-8). Suppose 31*n - 1102 - 3269 = 0. Suppose -11*y = -n + 31. Sort d, -2, y in decreasing order.\nAnswer: y, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 545762800?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 688167360 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -9*x. Let m(n) be the first derivative of -n**6\/180 + 6*n**3 + 12. Let z(k) be the third derivative of m(k). Give z(c(v)).\nAnswer: -162*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 48*x**2 + 16*x**2 - 224 + 110 + 114. Let c(d) = -5*d**2. What is s(c(v))?\nAnswer: 1600*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.22352, -0.3, 2\/11, -4?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 218039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 50*t = 47*t, -4*z = 3*t. Solve z = 5*u + 362 - 357 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.09 - -1.31. Let h = -1 + z. Let b = 5\/2 + -9\/4. What is the biggest value in b, h, -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 97 is divided by 53.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = 1651*g. Let k(x) = -2*x. Calculate k(h(y)).\nAnswer: -3302*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 10507 - 705?\nAnswer: a902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 13. Let i be d(-9). What is the common denominator of 2\/(-18)*(-290)\/i and -13\/6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2.4, -58, -0.5, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 8 - 8. Let r = 0.5 + l. What is the closest to 1 in r, -0.4, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 10\/613 and 53\/21.\nAnswer: 12873","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4)\/(-2) + 22 - 4.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Let b = q - 3. Solve -3*u = -9 - b for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 + (519\/2)\/(3\/8) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g when two letters picked without replacement from {k: 4, g: 3, c: 1, x: 6}?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -3028.9?\nAnswer: 3029.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-100)\/(-15050))\/(((-6)\/56)\/(18\/(-24)))\nAnswer: 2\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.0478 and -0.1?\nAnswer: -0.00478","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 31? (a) -1 (b) 3\/4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q - 27*q**2 + 4*q + 33*q**2 + q**2. Let b(v) be the third derivative of -v**2 + 0*v**4 + 0*v**3 + 0*v - 1\/60*v**5 + 0. Determine a(b(c)).\nAnswer: 7*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-50)\/(-80)*(-191 + 193)\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 5*m - 10 = g, 5*g + 4*m - 11 = 0. Suppose 4*h - 150 = g*j + 2*j, -2*j + 4*h = 72. Is (-9 - -8)\/(2\/j) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -36*h**3 + 2*h + 4. Let v be m(-3). What is the common denominator of 2\/(-80)*v\/4 and -1\/20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5588224*l**5 - 3*l**2 + 157525*l - 76.\nAnswer: 335293440*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = -d - 4, 0 = -8808*h + 8811*h + 3*d for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 147780 or 147779?\nAnswer: 147779","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: abb0 (base 12) to base 14\nAnswer: 6ccc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-n + 21*n**2 + n)*(-8*n - 91 - 97 + 180) as a*n**2 + v*n + y + r*n**3 and give a.\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 4 - (-19 - -12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000851 to four dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/6595 or 2\/7?\nAnswer: -1\/6595","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s*s\/s**(3\/35))\/s)\/s)\/(s\/(s*s*s*s*s**42))*s\/s**38*s**(-6\/29) assuming s is positive.\nAnswer: s**(7823\/1015)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6184 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1496 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 164 and 2.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12213003132 (base 4) to base 8.\nAnswer: 6470336","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200 (base 6) to base 7.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 + 32161543484842.\nAnswer: 32161543484842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.902 + 0.602. Which is the closest to 0.02? (a) 2 (b) -0.5 (c) y (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 9.461601 months?\nAnswer: 0.00078846675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 0*b = -3*m + 2, -3*m = -12. Suppose -1020 = -p - y, -5*p + 4077 = -p + b*y. What is the thousands digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (18 - 8 - 2*j - 7)*(-3*j**4 - 3*j**4 + 3*j**4).\nAnswer: 6*j**5 - 9*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 119*q**2 - 2*q - 21 wrt q?\nAnswer: 238","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*l + 4 - 4)*(3 - 1 - 4) + 5*l - 3*l - 3*l)*(-22 + 10 + 9).\nAnswer: -9*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 434312 - -54?\nAnswer: 434366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.1 - -761475.\nAnswer: 761478.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14 - -14. Suppose 0 = -g - g + 50. Suppose 0 = -5*b + g + 15. Solve 0 = 4*k - y*k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(15)*1*6)\/(sqrt(24)\/sqrt(200)).\nAnswer: 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2*t + 59. Let m be y(-23). Suppose 10*p - m*p = i + 2, 2*i - 11 = -p. Solve -i*o - 24 + 10 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 0*h**4 - 33\/5*h**5 + h**2 - 153 + 12*h + 0*h**3. Differentiate n(p) with respect to p.\nAnswer: -132*p**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -9372 + 9394. Which is the nearest to y? (a) 2 (b) 5 (c) -4\/7 (d) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 84*j + 2 - 2 + 10*j + 2*j**2.\nAnswer: 2*j**2 + 94*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8220491 nanometers in micrometers?\nAnswer: 0.0008220491","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-11090)\/(-33) - 116\/1914 is divided by 120.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 27*h. Let b(v) be the first derivative of -354*v**2 - 360*v**2 + 18 + 713*v**2. Give b(m(q)).\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -m**2 + 4*m + 13. Let a be c(6). Suppose -3*n + a = 10. What are the prime factors of (-22)\/(n - (-15)\/6)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + (-326 + 333 - (13 - (-2 - -3)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 17 - (-169 + 82 - -80)\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*d**2 - d - 19*d**2 + 11*d**2 + 576 + d**3 - 594 as a*d**2 + r*d**3 + y*d + o and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*d + 28 - 190. Suppose 56*o = d*o + 14. Solve 4 = o*b - 6*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1738\/(-56) + 2\/7. Let b = -31 - u. Let h = -2\/681 + -1340\/7491. What is the smallest value in h, b, -0.2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2*(2*(-3)\/12 - -3). Suppose -7*a - v = -2*a. Sort a, -2\/7, -20\/3 in decreasing order.\nAnswer: -2\/7, a, -20\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:19 AM and 3:02 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (432\/60 - 7)\/(8\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -h**2*n**2 - 13*h**2*n - h**2 - 253851*h*n**2 - 11843*n wrt n.\nAnswer: -2*h**2 - 507702*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1552 + 562 + 811 - 880*n + 52 wrt n?\nAnswer: -880","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 0, 3, 1.6 in descending order.\nAnswer: 3, 1.6, 0.4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-299616)\/(-68) + (-2)\/17. Suppose 0 = 21*l + 353 - o. List the prime factors of l.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-4)*n)\/(n\/n**(-5\/3))*n**5\/n**(-5\/4))\/(n*n\/n**3*n**(-10))**(-5) assuming n is positive.\nAnswer: n**(-653\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -9 (b) 422 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*n - 9, -o = -n + 2*n - 1. Suppose 0 = -v + o*v - 12. Let m be 7 - v - (2 - -1). Which is the closest to 1\/3? (a) m (b) -0.3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4 - 72*y**3 + 591*y**2 - 1926*y + 2160.\nAnswer: 3*(y - 10)*(y - 8)*(y - 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2250000 rounded to the nearest 1000000?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 3718?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/6*12\/6.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = -249*j - 1465. Let v be w(-6). Solve v = -14*g + 99 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146912966 a multiple of 2657?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 209*d + 249. Let o(h) = 209*h + 198. Calculate -4*k(u) + 5*o(u).\nAnswer: 209*u - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/13 - (-308)\/143. Suppose -r*v = -t - v + 240, 4*v = -t + 250. Let m = t - 60. What is the hundreds digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.1 and 147.12463.\nAnswer: 14.712463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 10:14 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2, 5, 4, -0.2, -351, -187, -3\/4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -5*a + 0*a - 1 - 37 + 0*a. Let d be z(0). Which is greater: d or -36?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - 0 - -3 - (20 + -10 + -12)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 33858 = -3*s, 45114 = 3454*s - 3450*s - w. Is 16 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3170*r + 3165*r = 3*q - 36, r - 36 = 9*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -77 + 77. Suppose k = 5*b - 548 - 447. What are the prime factors of b?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2, -2\/9, -0.1, -15\/8?\nAnswer: -15\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 552298379?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 7:14 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1482 at most -1474?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -457 = -33*b - 193 for b.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 20 - 9. Suppose 3*g + 14 - 8 = 0. Let r be g\/w - 460\/(-110). Solve 0 = -r*p + 2*z - 8 - 14, 3*p + 15 = z for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(315) - sqrt(315)*2)\/(sqrt(7) + sqrt(168)\/sqrt(6)))**2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -133.7974545332 - -0.2523656332. Let l = a + -21.4549781. Let r = -155 - l. What is r rounded to five dps?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(98) + -1 + sqrt(98) + -5 + (-5*sqrt(98)*-1)**2).\nAnswer: 56*sqrt(2) + 9776","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 + 10*b - 17. Let j be k(7). Let y(v) = -v + 4. Let s(l) be the first derivative of 3*l**2\/2 - 9*l + 2. Calculate j*s(n) + 9*y(n).\nAnswer: 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 104 - 106, 4*s - 16 = -2*y for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o**2 - 13*o - 1. Let i = 6 - 12. Let k be v(i). Solve -l = -6*l + k for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yhyohfyhhyzifyy. What is prob of picking 1 f and 1 h?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3*(40\/(-6) + 6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99055656 and 216594?\nAnswer: 297166968","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -16*k + 18. Let d(g) = 3*g - 3. Let b(o) = 6*d(o) + l(o). Let z(q) = -q - 723. Determine b(z(h)).\nAnswer: -2*h - 1446","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 20.981 - 21. Let q = k + 0.119. Let i = q - -4.9. Which is the smallest value? (a) -0.1 (b) -2\/7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2*-21545727\nAnswer: -4309145.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -24.534 - -79.119. Round b to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-6*(sqrt(18)*1 - sqrt(18)))\/sqrt(6))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = t**3 + 16*t**2 - t - 13. Let a be p(-16). Let s(y) be the first derivative of 4\/3*y**a + 2 + 4*y + 0*y**2. Differentiate s(d) with respect to d.\nAnswer: 8*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -56, -128, -212, -314, -440, -596?\n\"Answer: -t**3 - 65*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -9843 at least as big as -9852?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 4*m - 308 = 0, -4*m = 3*a + m - 255. Suppose -a = -22*c + 17*c. List the prime factors of c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -256 - -104. Let g = 560 - 329. Let o = c + g. What are the prime factors of o?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 1 = 9. Suppose -n*f = -0*k + k - 1, -2*k = -4*f + 14. Let y(t) = -t + 2. Determine y(f).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*l = 93*l - 59*l + 128 for l.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62753998?\nAnswer: 2, 19, 37, 44633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 2*d + 29. Suppose -5 = -3*t - p - 3*p, 0 = -2*t + 5*p - 35. Put d, t, 1 in ascending order.\nAnswer: d, t, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 410024?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-7)\/(-12)*26\/91*0. Solve j = 27*f - 31*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u**3 - 3064*u**2 - 124201*u + 127264 = 0. What is u?\nAnswer: -41, 1, 3104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/13, 2, 17\/60, 0.4, -0.4 in descending order.\nAnswer: 2, 0.4, 17\/60, 2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -37*j + 648. Let g be a(17). Solve -g = 3*p - 2*x - 4, -3*p = 2*x + 15 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 10*r + 3 = -7*r, s + 5*r - 21 = 0 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 0, -0.2, 2421?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 11:41 AM?\nAnswer: 4:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 117, -4, -5 in decreasing order.\nAnswer: 117, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-3\/13)\/w*w)\/w**(-3\/7) assuming w is positive.\nAnswer: w**(18\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((2\/(-8))\/((-28665)\/(-6240)))\/(8\/(-6)).\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 68*f + 144 - 144 + (-4 + 3 + 2)*(-2*f + 3*f - 2*f) - f + 6*f - 3*f.\nAnswer: 69*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i + 15 = -9621*n + 9621*n, -18 - 58 = -9*n + i for n.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 - (13 - (-32 - -33))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -5*l - 20. Let c be (-1 + 2)\/((-7)\/49). Let z be t(c). Does 21 divide 970\/12 + z\/90?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 220549 is divided by 758.\nAnswer: 729","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1 - 6600?\nAnswer: -6588","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3837 divided by 242592?\nAnswer: 1279\/80864","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14126716 and 16108.\nAnswer: 14126716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1361 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 30 and 2904?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + -0.25. Let v be (6\/8*-4)\/(-1 - -2). Which is the closest to -2? (a) -0.1 (b) w (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -4) + (13 - (3 + 1))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 82*x**3 + 3*x - 3. Let k(s) = 11*s**2 + 849*s + 157. Let c be k(-77). Let t(h) = 81*h**3 + 4*h - 4. Calculate c*t(z) - 4*m(z).\nAnswer: -85*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(0 - 6\/(-129)). Suppose 0 = -3*l + s + s - 53, 5*l - 2*s + 95 = 0. Let w = l - n. Does 9 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1.31 + 34.81. Let n = 2.3 - z. Round n to the nearest integer.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -3\/2, 2\/13, 1.6?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 328?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 35 - -43304?\nAnswer: 43343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 35 - 34. Suppose -3*p - 4*o = -0*o + 4, 4*p + h = -o. Let y = 8 + -5. Solve 2*q + 3*f - 20 = p, 0 = q - y*f + 4 + 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = n - 2*n, -3*i = 5*n - 109. Let s = -29 + 52. Let v = s - n. Solve -4*u = 3*l + 35, v - 8 = -3*l + 4*u for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 42070932, 84141866, 126212800?\n\"Answer: 42070934*u - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a milligram in micrograms?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -y**2 - 6*y + 1. What is the smallest common multiple of l(-3) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q, given that -2*q**4 + 15466162*q**3 - 39867038145810*q**2 + 34255048209072090102*q - 68509936950115326228 = 0.\nAnswer: 2, 2577693","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 596 minutes before 5:45 PM?\nAnswer: 7:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.78543964 + 0.01.\nAnswer: 16.79543964","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1091614 + 1103705 = -113*t for t.\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(5\/(20\/6))*2\/16?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 22*l**2 - 14*l**2 + 36*l**2 + 9*l**2 + 17*l**2 in the form p*l + y + h*l**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 201317067?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 5 - 3 - (2 - 4). Suppose -5*t = -2*q - 285, d*t - q - 292 = -64. Let b = -26 + t. What is the remainder when b is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j\/((j*j\/(j\/j**(1\/3)))\/j)*j*j*j**0*j)**12 assuming j is positive.\nAnswer: j**68","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 199 = 3*h + 2*j + 36, -4*j = -5*h + 235. Suppose 0 = h*u - 42*u - 351. Let r = -21 + 31. Calculate the remainder when u is divided by r.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -2\/17, 49, 11\/8, -2\/13?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-2) + 15\/(-6). Let x = -6 - b. Put 1, x, 5 in descending order.\nAnswer: 5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 131 + -4550?\nAnswer: -4417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 1:05 PM?\nAnswer: 8:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 - 0.4. Let m = 52\/21 - 15\/7. Let g = -1\/21 + -5\/42. Put o, m, g in increasing order.\nAnswer: g, o, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -16*w**2 - 2*w - 1. Let f be h(-1). Let b = 55 + f. Suppose -5 + b = y. Solve 15 - y = -5*l + v, -4*v = 0 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 122281?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -235960 + 2036969. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 560469243?\nAnswer: 3, 17, 31, 71, 4993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 269 - 4b8?\nAnswer: -24d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 300 - -103310?\nAnswer: 104010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 11\/10 of a kilometer?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a litre in millilitres?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -101*i - 128 = -117*i. Solve -38*x + i = -42*x for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3602 = 2*l + 4*s, 106*s + 8 = 108*s. Is l a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h**2. Let w(a) = 5*a**2 - 1. Let s(u) be the second derivative of -u**4\/12 + 2*u. Let i(q) = -22*s(q) - 2*w(q). Determine 10*f(v) + i(v).\nAnswer: 2*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 284 divided by -1.\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6.31819ml?\nAnswer: 0.00631819","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1.37 (b) -245 (c) -0.0768\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10000 is divided by 106?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 50136959 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 289558 is divided by 78.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -64*3*5\/(-30). Calculate the greatest common divisor of w and 144.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 17*l**4 + 2*l**3 - 19*l - 2. Let h(x) = -16*x**4 - 3*x**3 + 18*x + 3. Let q(g) = -3*a(g) - 2*h(g). Find the second derivative of q(r) wrt r.\nAnswer: -228*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000033592109 to 5 decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 684 - 683.9. What is the second biggest value in 1, d, 5\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-354*k - 2*k - 34*k - 62*k - 84*k)*(-3*k - 3*k + 5*k).\nAnswer: 536*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -208923987, -208923986, -208923985, -208923984, -208923983?\nAnswer: -208923982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w**2\/3 - 48*w + 486 = 0. Calculate w.\nAnswer: -81, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*b - 250564 + 139267 - 139807 = 0. Is 14 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**2 - 28*w + 3. Let k(m) = m - 1. Give i(l) + k(l).\nAnswer: -l**2 - 27*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 892 + -880. Calculate the remainder when 16 is divided by w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o + 2. Let c be s(4). Let m = -25 + 63. Let y be (m - (-2 - -1)) + 3. What is the highest common divisor of y and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - 4*l - 8, 34*l = 3*v + 36*l + 6 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of -i**3\/6 - 5*i**2\/2 - 1143*i. Let w(q) = -2*q - 11. Determine -5*b(o) + 2*w(o).\nAnswer: o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4004100 - -16?\nAnswer: -4004051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 251167795?\nAnswer: 5, 53, 947803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-29*x - 36*x + 11 + 49*x)*(4 - 2 - 1) to the form q*x + n and give n.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of d**6\/30 + 2*d**5\/15 - d**4\/6 - 4*d**3\/3 - d**2. Factor q(m).\nAnswer: 4*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13442 and 661804.\nAnswer: 286","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88 = 5*j - 1537. Is j a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48*a + 1780 + 252 = 496 for a.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 6 = 46. Let t(o) = -o**3 - 9*o**2 - 9*o - 9. Let f be t(w). Is -6\/7 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 71 = 3*m - 11, -4 = c + 2*m. Let y(i) = -i**2 + 6*i - 20. Give y(c).\nAnswer: -92","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of ((-110280)\/6)\/(210\/(-84))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -51, -63, -65, 4, 0, 5, 3 in decreasing order.\nAnswer: 5, 4, 3, 0, -51, -63, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/5 (b) -8 (c) 2 (d) 110.6 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange a**4 - 63092*a**3 + 2 - 1 + 63092*a**3 - 56*a**2 - 2*a to the form u + l*a**3 + x*a**2 + k*a + g*a**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 4 - 2)*(-2076*f**2 + 2071*f**2 + f + 0*f + 41 - f**3) to the form o*f**3 + s*f + a*f**2 + v and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4313061 (base 7) in base 13?\nAnswer: -154965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 824*q**3 - 2*q**2 + 2*q + 1 - 419*q**3 - 438*q**3. Suppose 0 = 5*c - 4*g - 10, -42 + 7 = 5*c + 5*g. Is p(c) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*z**4 - 3*z**4 - 8*z**4 + (z**3 - 3*z**3 + 3*z**3)*(-3 + 3 - z) in the form v*z + b*z**2 + g*z**4 + x + o*z**3 and give g.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 454\/3 + -157. Which is bigger: q or -7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/7, 402, -0.1, 15 in increasing order.\nAnswer: -3\/7, -0.1, 15, 402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, 2\/7, -2\/17, -1, 0.039, 16.\nAnswer: -1, -2\/17, 0.039, 2\/7, 9, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a - 3*p = -2*p + 51, p = 5*a - 87. Let i = 40 - a. Suppose -4*g = -2*g - i. What is the remainder when 43 is divided by g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 minus 1630372739734?\nAnswer: -1630372739733.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 505395 and 594?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1462 = 1147*x - 2119*x + 1058*x for x.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 4 - 1 - 2 + 2 + a. Let m be n(4). Suppose m = 2*f - 9. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 7*i**2)*(-13*i - 22*i + 4*i).\nAnswer: 217*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 14\/(-16)*(-4)\/14. Are a and -2\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (57755 - 57755 + 459*h**2)*(4 - 4 + 2 + 3*h) to the form y*h + k + a*h**3 + i*h**2 and give a.\nAnswer: 1377","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 - 7 + 1)*(2 + 3920*a - 5 - 4234*a).\nAnswer: 4082*a + 39","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104550 is divided by 61?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -29625, -29635, -29631, -29595, -29509, -29355?\nAnswer: -29115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2 + p + 1. Let f(b) = 29*b**2 - b - 1. Give f(j) + s(j).\nAnswer: 28*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 760 - 757. Suppose -3*z + 2*q = -6*z + 3575, 2*z + r*q - 2390 = 0. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121 - -120.7. Let x = -0.1 + 0. Let f = 0 - x. What is the nearest to -1 in 0.4, f, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27848142?\nAnswer: 2, 3, 7, 17, 13001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0009095372 rounded to five decimal places?\nAnswer: 0.00091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 17657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s\/((s**(1\/6)*s)\/s)*s)**(-1\/43)*s**12\/s*s*s*s*s\/(s**(7\/3)*s)*s)**(-41) assuming s is positive.\nAnswer: s**(-133291\/258)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times 933.8?\nAnswer: 1867.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 17929119 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2792 and 20.\nAnswer: 13960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 3 = 0, -2*k - 3*l - 1 = 2*l. Let t(x) = -x**3 + 7*x**2 - x + 9. Let j be t(k). Let h = j + 48. What are the prime factors of h?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7910 + 3958 + j + 3952.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55*h - 364 = 53*h. Let a = 0 + 4. Suppose 66 = a*n - h. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -27, -38, -49, -60?\n\"Answer: -11*o - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + -5 + 1 - (-8 - (2 - 5))?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 2073, 2094, 2119, 2148?\n\"Answer: 2*u**2 + 15*u + 2056","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 52 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5 + 2 + 1)*(30 - 13 + 40)*(o**2 + o**3 - o**2) in the form f + a*o + n*o**2 + v*o**3 and give v.\nAnswer: -114","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = -3. Is 4 <= w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1660*c**2 - 86*c - 616547.\nAnswer: -3320*c - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -4*b + 7. Let m be 66\/(-88) - (-31)\/8*b. Let a = m - -21. What is the tens digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -5, 15774 in increasing order.\nAnswer: -5, 0, 2, 15774","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.028 and 0.1.\nAnswer: 0.0028","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 4:08 AM?\nAnswer: 12:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 4 = 3*l. Let q(s) = 29*s**3 - s**2 - 21*s + 60. List the prime factors of q(l).\nAnswer: 2, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 2:38 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 5*z**2 - 4*z**2 - 635*z + z**3 - 1 + 635*z. Let i(u) = -u**2 - 11*u - 29. Let p be i(-4). Calculate x(p).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 63 (base 10) to base 15\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -25, -71, -119, -169?\nAnswer: -221","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -6*f**2 - 3*f. Let k be t(-2). Let l(g) = 9*g + 3. Let i be l(3). Let u = i + k. Calculate the smallest common multiple of 6 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 4139031?\nAnswer: 16556124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2785\/8328 - 3\/2776. Let -4\/3*i + a*i**2 + 1 = 0. Calculate i.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 6550 - -28?\nAnswer: 6578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 680 is divided by 12.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mhhhhmmhmllhhh. Give prob of sequence hlm.\nAnswer: 8\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, v: 7}. What is prob of sequence vvs?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -7 - 320?\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 + 8*s + 9. Let b be i(-7). Is 6 a factor of b\/3 - (-98)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 - (0 + 3) - -8. Solve -5*l = w + 22, 0 = 4*w - s*l - 0*l - 12 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 24 - 6 + t - 35 + 13*t**2 - 13 as h*t**2 + n*t + m and give h.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5233205 to the nearest integer?\nAnswer: 174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -182170502 to the nearest 10000.\nAnswer: -182170000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 54 (b) -7 (c) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 113396281 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a + d = 2, 4*a - 5*d = 2 - 12. Suppose a = -2*y + i + 204, y = -2*y - 4*i + 328. What is the greatest common divisor of y and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1780, 3519, 5220, 6883, 8508?\nAnswer: 10095","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*k, 16 = 2*u - 4*k - 24. Suppose 5*t = t. Suppose 0 = -4*h + 2*i + 28 + 120, 2*h - 5*i - 58 = t. What is the remainder when h is divided by u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 4, u: 6, r: 2, n: 3}. What is prob of sequence tn?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 189*i**2 + 6*i - 171. Let x(p) = p - 1. Let o(u) = -m(u) + 6*x(u). Find the first derivative of o(q) wrt q.\nAnswer: -378*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4 + 4)*(-b + b + b**2) - b**3 + 3*b**3 + b**3.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - (-8 + 9 + -15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = g**3 + 7*g**2 - 110*g - 109. Calculate the remainder when 1977 is divided by n(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -206*b**2 - 227 - 248 + 474 + 9*b to d + q*b + p*b**2 and give p.\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -15 - (-3 + -3) - 5?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of -m**5\/60 - 9*m**2\/2 + 5*m. Let b(r) be the first derivative of i(r). Let h(d) = 3*d. Determine b(h(g)).\nAnswer: -9*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is (5\/(-1 - 219))\/((-12)\/24)?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that 2*r**4 - 53848*r**3 - 323136*r**2 - 646304*r - 430880 = 0.\nAnswer: -2, 26930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, p: 2, m: 4, n: 2, k: 1, h: 2}. What is prob of picking 1 a and 2 h?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3001750481 to the nearest integer?\nAnswer: 54788","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:17 PM?\nAnswer: 9:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 t when two letters picked without replacement from {b: 9, t: 1, o: 1, x: 4, y: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in five eighths of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 6:55 PM?\nAnswer: 7:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 6*r + 2. Suppose -2*w = 3*b - 5*w + 3, -11 = 4*b + 3*w. Give m(b).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 536 is divided by 220.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -1000000000001001101 (base 2) to base 12\nAnswer: -1078b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**4 + y**3 - y**3)*(-2*y + y + 2*y - y - y + y + (2 - 6 + 3)*(-4*y + 5*y + y) + 2*y + y - 5*y - y + 2*y - 2*y - 4*y - y + 4*y - 2*y + 3 - 3).\nAnswer: 16*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c + 3 - 7 - 5*c)*(2 - 6 + 2).\nAnswer: 2*c + 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 9009 and 305331.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 14 = 6*a. Let n(s) = -2*s**2 - 15. Let h be n(4). Let i = a - h. What are the prime factors of i?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**4)\/z)\/(z*z*z*z\/(z*z\/(z**6*z*z)))*(z**(2\/7)*z)**(-13))\/((z**0)**(-2\/5)*(z*z**1)**14) assuming z is positive.\nAnswer: z**(-355\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.052 and 2.2.\nAnswer: 2.252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4666794 + 1475652 = 21*y + 33*y. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/7927 + 134447\/1236612. What is the common denominator of s and 103\/1508?\nAnswer: 4524","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.4 + -2.4. Let q = 2.6 - 0.6. Which is the smallest value? (a) -3 (b) x (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from feeeeeefefee. What is prob of sequence feff?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -43*j - 42 - 34*j + 114*j - 35*j in the form v*j + t and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ix when two letters picked without replacement from {i: 2, x: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 27302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 246 or -113?\nAnswer: -113","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqxeqxxvqqvvqvevqqq. Give prob of sequence vqvx.\nAnswer: 5\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -6. Let d(r) = -r + 2. Let g be d(0). Suppose -2*m + 479 = 4*x + m, i = -g*m + 2. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-1140)\/9)\/(-19))\/((-18)\/(-3159)). Calculate the greatest common factor of 48 and x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*r + 17. Put 1, r, 3, -2\/19 in descending order.\nAnswer: 3, 1, -2\/19, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + (23 - 9) + -7?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/7)\/(7*4\/14).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 44333, 88667, 133001, 177335?\n\"Answer: 44334*i - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/244 and 37\/1242448.\nAnswer: 1242448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4308 and 97.\nAnswer: 417876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -78866, -11\/2, -2?\nAnswer: -78866","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x*x**(-2\/9))*x)**(2\/41)\/(x*x*(x*x*((x*x\/(x\/(x**(-3\/4)\/x))*x)\/x*x)\/x*x*x*x)\/x*x*x*x*(x*x\/(x**(1\/22)\/x*x*x)*x)\/x) assuming x is positive.\nAnswer: x**(-150061\/16236)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11027 + -10301. Calculate the remainder when 1453 is divided by o.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 14\/8 - (-2)\/8. Let d be (-1 - 2 - -2) + 0. Does 8 divide 3 + 41 - (l + d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(1\/3))**(-13\/5))**(-23)\/((x**0)**48\/(x**6\/((x\/x**(-2\/5))\/x))) assuming x is positive.\nAnswer: x**(256\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(117)*2 - (sqrt(117) - sqrt(117)*-2*-2))\/((2*sqrt(99))\/sqrt(11) - (sqrt(9) + (sqrt(576) - -1*sqrt(576)))).\nAnswer: -3*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the second derivative of w**5\/4 - 25*w**4\/12 - 10*w**3\/3 + 50*w**2 - 84*w. Determine i so that t(i) = 0.\nAnswer: -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = w + 2. Let y be -4*(-4)\/((-16)\/(-2)). Let z be (0 + 0)\/(1 - y). Let q be l(z). Solve -10 = -4*b - q for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -60*s - 4. Let i(d) = -12*d - 1. Determine 11*i(v) - 2*m(v).\nAnswer: -12*v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 688 (b) 1\/5 (c) 1.0081\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 8 = -5*f, 14*f - 8 = -2*v + 22 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (-2 - 83\/(-14)) + (-90)\/210. Let q(n) be the first derivative of -g*n**3 - 3\/2*n**2 + 21\/8*n**4 - 22 + 0*n. Let q(i) = 0. What is i?\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -40 = 19*t - 24*t. Suppose -16*j + 20*j - t = 0. Suppose -3*h + 0*y - 5*y = -44, 31 = j*h + 3*y. What is the remainder when 33 is divided by h?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*r**3 - 700308*r**2 - 14004960*r.\nAnswer: -3*r*(r + 20)*(r + 233416)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 475 and 35?\nAnswer: 3325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 706399042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -7*w + 10*w + 3 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w - 26 = -5*i, 10 = 4*i + 3*w - 13. Let o(m) = -i*m**2 + 5 - 4 - m**2. Determine o(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 17.8 + -18.2. What is the third smallest value in -1\/6, x, 0.9, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 262345196?\nAnswer: 2, 65586299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19\/18 - 104\/1872.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 35, 18, -5, -1, 4\/3, 0.1 in decreasing order.\nAnswer: 35, 18, 4\/3, 0.1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**2 - 8*k + 10. Suppose 5*s - 3*s - 14 = 0. Let f be d(s). Factor f*j**2 - j**2 + 3*j + j.\nAnswer: 2*j*(j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -79*v**2 + 21*v**2 - 75*v**2 - 86*v**2 + 222*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 135606.\nAnswer: 2, 3, 97, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/25 in 1, -0.4, -5, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 1, 7, 56 in decreasing order.\nAnswer: 56, 7, 5, 4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the first derivative of -42*t + 10 + 130*t**3 - 114*t**3 - 24. What is the derivative of n(y) wrt y?\nAnswer: 96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 3*q - 5 = 0. Suppose 65 = u - 32. Suppose q*d + u = 4*o, 3*d - 1 = -16. What is the highest common factor of o and 90?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 116 divide 63197?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**2\/u*u*u**(2\/7)*(u*u**0\/u)\/(u\/u**14*u) assuming u is positive.\nAnswer: u**(100\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -95.83 rounded to zero dps?\nAnswer: -96","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -2.5. Let s = 1 + -1. Which is the closest to s? (a) -1\/10 (b) g (c) 2\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 579.\nAnswer: 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 622780 is divided by 257.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2 + 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of ((-66)\/(-7))\/(-4 + (-341)\/22) and -57\/143.\nAnswer: 1001","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 39?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 820159.\nAnswer: 59, 13901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 5*i - 60, -2*z - 3*i = -0*z + 14. Let a = 28 + z. Calculate the greatest common factor of a and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1735 and 0.3.\nAnswer: 520.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 3 + 3)*(3 - 4 + 3)*(3 - 2 - 3)*(-585*g + 129*g - 241*g).\nAnswer: -2788*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 24, 20, 4, -30, -88?\nAnswer: -176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -14.8 - -21.8. Let s be 2\/8 + (-1)\/(-28). Is b bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/(sqrt(56)\/sqrt(7) + sqrt(8)) + -4*sqrt(216))\/(-1*sqrt(72)*-3*-3).\nAnswer: 47*sqrt(3)\/108","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * -160.431\nAnswer: -641.724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9154 + 9237. What is the highest common divisor of l and 8383?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -111 by 6.\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.02152 and 0.5?\nAnswer: 0.01076","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 + 70. What are the prime factors of h?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.7 + -0.9. Let n = 0.16 + z. Let p = n + 0.14. Is 1 >= p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -r - 2. Let x be (35 + -29)*1\/2. Suppose -x = 5*k + 5*a + 2, -5*k + 3*a - 45 = 0. Calculate n(k).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/18334697 and -63\/10.\nAnswer: 183346970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-16 + 16 + d)*(-3 + 3 + 3*d**2) to y*d + u*d**2 + s + a*d**3 and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sum -744096 and -17488.\nAnswer: -761584","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Is ((-2633351)\/34 - 10)*(-4)\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d = -7*o - 35, 2*d + 4*o - 10 + 30 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 506 and 6992?\nAnswer: 76912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5278?\nAnswer: 2, 7, 13, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + (1 + -1)*(-8)\/16. Solve r*x + 0*x + 6 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 18. Let i be j(-6). Let m be (3 - (2 - 7)) + -3. Which is bigger: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -21*y + 82 - 19 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {a: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 3*u = -7, -i - 7 = -2*i + u. Let l = i - 1. Solve -l*z + 4*z + 1 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*y**2 + 1 - 1 + 0*y**2 - y**2 + 0*y**2 + (3 + 2*y - 3)*(2*y + 1 - 1))*(-10*y - 106*y - 2 + 48*y)*(-4*y + 2*y - 2*y).\nAnswer: 272*y**4 + 8*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -44971092 + 0.6?\nAnswer: -44971091.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 3188 divided by 3439?\nAnswer: 3188\/3439","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -6*w + 2. Let o be x(-2). Suppose -14 = -s + 5*q, -5*s = -5*q - o - 16. Suppose -6*a = -s*a - 70. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((u**(-9)*u)\/u)\/u*u*u**(2\/41)*u**(-5)*u\/u**0)**12)**(-22\/3) assuming u is positive.\nAnswer: u**(46728\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 5*l + 15 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 87*f - 13926. Give m(154).\nAnswer: -528","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*((sqrt(90)\/(sqrt(30)\/sqrt(5))*6)\/(-4*(-1*sqrt(125) + sqrt(125) - sqrt(125))) + -1))**2.\nAnswer: -12*sqrt(3)\/5 + 127\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t**(-3\/2))**(-11))**(2\/31)\/((t\/(t\/(t**3*t)))**(2\/29))**16 assuming t is positive.\nAnswer: t**(-3011\/899)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1104.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22*o**4 + 1546*o**3 - o**2 - 2*o - 658 wrt o.\nAnswer: -528*o + 9276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m - 16. Calculate a(9).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 39244*x**2 + 35*x + 6. Let r be u(6). What is r rounded to the nearest 100000?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -743 at most as big as -753?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2\/425473 + 136577281\/95305952. Let w = -9\/32 - y. Suppose -14*m + 5*m - 9 = 0. Which is smaller: w or m?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 40, -5, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y = -11*y. Suppose 0 = -d + 3*h + 63, d - 4*d + 3*h + 165 = y. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**2. Let x(g) = -9*g**2 + 18*g - 4. Let h = -27 + 22. Let c(b) = h*m(b) - x(b). Find q such that c(q) = 0.\nAnswer: 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.71 + -0.51. Sort 0.3, -4\/11, k, -5\/6.\nAnswer: -5\/6, -4\/11, k, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kkq when three letters picked without replacement from qqqqqkqk?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -25.38075134 to one decimal place.\nAnswer: -25.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 889 is divided by 55?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 67 is divided by 44.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 26 by -954.\nAnswer: -13\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(13) - (sqrt(13) + 1*sqrt(13) - sqrt(13))) - (-5 + (sqrt(13) - (sqrt(13) - (sqrt(13) + 3)**2))).\nAnswer: -6*sqrt(13) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -6*t + 101. Let o be d(15). Let k(b) = 4*b**2 + o*b**2 - 14*b**2. Let j(s) = 118*s. What is k(j(w))?\nAnswer: 13924*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*f - 3)*(-3*f + 10*f + 0*f) + 12*f**2 - 16 + 16.\nAnswer: 26*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 525? (a) -2\/55 (b) 11 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 7*p = 95. Let q be (p\/21 - -1) + -2. Is 1 < q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/11*h**2 - 520\/11*h.\nAnswer: 2*h*(h - 260)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - g + 588468*g**2 - 4 + g.\nAnswer: 588468*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 2*v + 36 = 0, v - 43 = -4*y + 80. Suppose -m - 2*m + y = 0. Is (m\/6)\/((-3)\/(-36)) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 111152?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:40 AM and 9:45 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1 - 0. Let k(z) = -6*z**2 + 242*z + 173. Let w be k(41). Which is the third smallest value? (a) w (b) s (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 80 (base 14) to base 11.\nAnswer: a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8106.\nAnswer: 2, 3, 7, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(30\/(-25))*(-4)\/(-70).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -11039 + 11119. Let n = -3 + 12. What is the remainder when z is divided by n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-572)\/4576 + 150\/(-16))\/(-1 - (-21)\/18)?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6216558 - 9025558. Round g to the nearest 100000.\nAnswer: -2800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = 30*s**2 - 623*s - 20. Determine c(20).\nAnswer: -480","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 3*t - 2*f + 3*f, 5*t = 5*f + 35. Sort 0.3, t, -4 in decreasing order.\nAnswer: t, 0.3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6379, 5, -2, -5, 4, -42, -3 in descending order.\nAnswer: 6379, 5, 4, -2, -3, -5, -42","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 49*u**3 - 22*u - 3. Let x(w) = 97*w**3 - 37*w - 5. Determine 5*b(y) - 3*x(y).\nAnswer: -46*y**3 + y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8289 - 58022\/7. Let i(g) be the third derivative of 0 - w*g**3 + 0*g + 4*g**2 + 1\/70*g**5 - 2\/21*g**4. Determine t, given that i(t) = 0.\nAnswer: -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -8.04 + 55.04. Let f = 1512 - 1462.72. Let h = f - v. Round h to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -0.14, 1\/4, 1\/85, 0.2?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from radsrsrdssrzzsdr.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 8*l = 5*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/3130070 and 41\/60?\nAnswer: 18780420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -250*((-20636)\/6 - (-6)\/(-9)). Round g to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-288)\/(-252))\/(6\/14).\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the third derivative of -n**7\/1680 - n**6\/144 + n**5\/20 + 2*n**2. Let g(z) be the third derivative of q(z). Find the first derivative of g(l) wrt l.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 1677*r - 20118. Calculate o(12).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -37*w + 340. Let h be a(8). Suppose -3288 = 36*i - h*i. List the prime factors of i.\nAnswer: 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 341 is divided by 29.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of 3*w**4\/4 + 2*w**3\/3 + 3*w**2\/2 + 3*w - 2760. Let m(l) = 9*l**3 + 5*l**2 + 8*l + 8. What is -3*m(g) + 8*z(g)?\nAnswer: -3*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 196, -1\/7, -2, 334\/27, 6 in increasing order.\nAnswer: -2, -1\/7, 6, 334\/27, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000000982 rounded to seven decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - c - z = 37, c - 4*z - 5 = 0. Let v = c - 11. Solve -m = -v*j - 6*m - 18, 0 = -3*j - m - 14 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -5. Suppose -8*y + 10*y = 0. Suppose -d + y = -2. Sort h, -2, d in ascending order.\nAnswer: -2, d, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(3\/2)*f*f*f*f\/f**2)**1 assuming f is positive.\nAnswer: f**(7\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g when two letters picked without replacement from gddgdgdlduugulg.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u*u**(-13)*u*(u\/(u\/(u*u*u*u**(2\/21)*u)))\/u*u**(-3\/2)\/u**(1\/20) assuming u is positive.\nAnswer: u**(-3971\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 37380.\nAnswer: 2, 3, 5, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11 - 151?\nAnswer: -140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than or equal to 43\/499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71\/5 in -4, 2, -5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 5. Let k(c) = -3*c + 3*c - v*c. Let p be k(-1). Which is smaller: p or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) be the third derivative of y**6\/60 + y**5\/60 + y**4\/24 + 8*y**2. Let f be r(-1). Does 10 divide f\/(3 + -1)*-40?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 x when two letters picked without replacement from {c: 2, z: 3, q: 2, x: 4, v: 1}?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 111 - 55. Let i = -62.8 + k. Let r = 7 + i. What is the nearest to 2\/3 in r, -2, -3\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by -175592850.\nAnswer: -1\/58530950","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 12453*l + 74006. Give p(-6).\nAnswer: -712","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/(-10)*(-30)\/(-27))\/((-19)\/(-57)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 - 5. Is 6*(4\/(-3))\/y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -2738*y - 5661. Let a(r) = -33*r - 68. Let b(c) = -333*a(c) + 4*l(c). Let z(v) = 34*v**2. What is b(z(w))?\nAnswer: 1258*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8985634 to the power of 1\/3, to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -5654*b**3*x + 107534*b**3 + 17*x**3 wrt x?\nAnswer: -5654*b**3 + 51*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of z**6\/42 - 6*z**5\/35 - 23*z**4\/14 - 92*z**3\/21 - 75*z**2\/14 - 22*z\/7 - 181. Factor o(v).\nAnswer: (v - 11)*(v + 1)**3*(v + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 + 13*m - 20 - 59*m + (m - 3*m + m)*(0 - 2 + 0).\nAnswer: -44*m + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**3 + 10*r**3 + 3*r**3 + (-2 + r + 2)*(2*r**2 - 2*r**2 - r**2) to n*r**3 + k + m*r**2 + x*r and give n.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -a**2*x**3 - 4*a**2*x - 10*a**2 - 25*a*x + 28*a + 1078941512*x**2 - 2*x + 19 wrt x.\nAnswer: -6*a**2*x + 2157883024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -h + 22, -18*h = -16*h - 5*g + 8 for h.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*m + 28*m - 116*m + 45*m.\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -3 - (7 - 4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 8592811 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -4*t - 23. Suppose -79 - 5 = 6*f. Let q be r(f). Suppose -6*a - 3 + q = 0. List the prime factors of a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 196 is divided by 63?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 35 + -45. Let z = u + 10. Solve z*s + 1\/3 - 1\/3*s**2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s - 4*s = -4, 3*c - s - 29 = 0. List the prime factors of (-1)\/1 + (c - -4).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18 - 22 - 100*t**2 + 3.\nAnswer: -100*t**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*n = 20. Let i be 22\/n + 3\/6. Suppose 2*z + 0 = i. Solve -6 = 3*s + z for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 - 21. Let a(d) = 5*d**2 + 4*d + 3. Let l be a(-3). What is the remainder when l\/(-3)*(-10)\/4 is divided by v(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -17, 5108, 1, 5, 3 in decreasing order.\nAnswer: 5108, 5, 3, 1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -l**2 - 46*l + 519. Give y(-55).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 2.755774m?\nAnswer: 2755.774","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s - 3*s - 5 + 2 - 3*s + 11*s.\nAnswer: 10*s - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:45 PM?\nAnswer: 4:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-5)\/(-30))\/(418\/(-990)))\/(-4*12\/(-96)).\nAnswer: -15\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -3*x + 108. Let l(r) = -2*r**2. Give l(a(j)).\nAnswer: -18*j**2 + 1296*j - 23328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 PM and 8:10 PM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(51) + sqrt(3264)*-4 + sqrt(51)))\/((sqrt(168)\/sqrt(7))\/sqrt(2))*-1)**2.\nAnswer: 137700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 h, and 2 e when four letters picked without replacement from {z: 6, e: 7, h: 2, c: 2, x: 1}?\nAnswer: 7\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47447 + 47475 = 14*k. Solve -g - 19 = 13*c - 17*c, g + 9 = k*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 35 - -8. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-6324)\/(-15) + 8\/20. Let o be 6 + -9 - (-2 + -1). Suppose -6*x + 226 + j = o. What is the hundreds digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -26 - -38. Does 10 divide -244*(-6)\/o - -8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96086 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*t - 15, 24 = -6*d + 2*d - 4*t for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83 = c - 3*r - 0*r, c - 2*r - 78 = 0. What is the remainder when c is divided by 21 + (-12 - -4 - -5)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 5*p - 3. Let i be d(5). Let q be (i\/4)\/((-5)\/20). Suppose 2*c + q*b - 75 = -c, b - 5 = 0. Is c a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 7, q: 9, n: 2}. What is prob of sequence qnq?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -113213 (base 4) to base 9\nAnswer: -2058","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n. Let a(x) = 1274008*x - 7816. Let u(o) = 1957*o - 12. Let z(p) = 3*a(p) - 1954*u(p). Give m(z(i)).\nAnswer: -3908*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.23176 to three decimal places.\nAnswer: -0.232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57958 is divided by 78?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the third derivative of x**9\/2520 - x**8\/420 + x**7\/315 - x**4\/24 + 13*x**2. Let b(n) be the second derivative of q(n). Factor b(p).\nAnswer: 2*p**2*(p - 2)*(3*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 1\/3*p**5 + 0*p - 4\/3*p**2 + 0*p**3 + 0 + p**4 = 0. What is p?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -l**3 + 263*l + 3. What is c(-16)?\nAnswer: -109","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/4 or -1.35?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32912 is divided by 10396.\nAnswer: 1724","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 160542528 to the nearest integer?\nAnswer: 543","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3863?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -63 - -83. Suppose -l - 1 = -4*g + 1, 4*l = -g - 8. Suppose -3*r + r + 4 = g. What is the greatest common factor of r and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10796169 is divided by 1194?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - -4. Let n(w) = -a + w**2 + 11. Let h(g) = 19*g**2 + 6*g - 3. Let d(z) = 46*z**2 + 16*z - 8. Let x(j) = -3*d(j) + 8*h(j). What is x(n(v))?\nAnswer: 14*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 + -9. Let l be 2\/4 + 9\/2. Let t = 1.5689 - -0.4311. Which is the biggest value? (a) u (b) t (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.07501218+-5\nAnswer: -5.07501218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the first derivative of 3*i**5 - 51*i**4\/4 + 21*i**3 - 33*i**2\/2 + 6*i - 61. Find g, given that a(g) = 0.\nAnswer: 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -10*f + 4. Let y(z) = 1. Let s(j) = p(j) + 6*y(j). Let a be (4\/8)\/((-1)\/(-4)). Let c = 5 + a. Let m(t) = -7*t + 7. Calculate c*m(h) - 5*s(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 46*t. Let j(l) = -3*l**2 + 0*l**2 + 37*l - 37*l. Give j(f(u)).\nAnswer: -6348*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -432051\/26 - -16614. Find the common denominator of 43\/4 and g.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/97, -2\/129, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in thirty-one halves of a centimeter?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -3*k + 27, -2*k + 33 = 4*w - w. Suppose 0 = 17*r - 10*r + 714. Let f = r + 225. What is the remainder when f is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3110353 + -54?\nAnswer: 3110255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 360652345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77392 and 12387557.\nAnswer: 4837","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65*a = 62*a + l + 453, 3*a + 3*l - 441 = 0. Is a a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(200) + -2.\nAnswer: -6 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 2*u - 14. Let i be a(7). Let w be i - (3 + (2 - 9)). Suppose s = -w*s. Solve 0 = -q + 2*y - 5, 0 = -s*q - q + y - 2 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n - 2590 = -173*o, 7*n = 4*o + 23*n - 11*n - 65 for o.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 4*u = -74, 91 = 3*c - 4*u + 61 + 131 for c.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 3.196973g?\nAnswer: 0.003196973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*t - 1064 = -102*t. Let g(k) = k**2 + 25*k + 44. What is the remainder when t is divided by g(-25)?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/21, 21\/10, -26\/5?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 429701 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -9, -19, -15, 9, 59?\n\"Answer: q**3 + q**2 - 20*q + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 76 minutes before 1:31 AM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 412161.6mg?\nAnswer: 412.1616","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/(-21) + 25086\/80682?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 5*p - 60. Let t be 3*(2\/1)\/p. Suppose g + 1 = -2. Put t, g, 2 in increasing order.\nAnswer: g, t, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 47 + -43. Suppose -3*q = -2*m + 18, f*q = -5*m + 5*q + 71. What is w in 518*w**4 - 48*w**2 + 89*w**5 + 70*w**4 - m*w - 224*w**3 + 254*w**5 + 31*w = 0?\nAnswer: -2, -2\/7, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4\/3)\/((-564)\/(-2961)). Solve 9*g - r*g = -5*i - 16, -6 = g + 2*i for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -168 + 167 + 23 + 1 - -3.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1393050 divided by -278610.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v**(-6)*v*v)\/(v*v\/v**(3\/4))*(v**(2\/11)\/v)\/(v\/(v*v**(-6))) assuming v is positive.\nAnswer: v**(-487\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = -t - t + 24, -3 = -2*x - 5*t. Let z = 11 + x. Suppose -z*f + 24 = -41. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -20\/3, 0.3, -5\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 2*q**2. Let d = 4 - 1. Let l(m) be the first derivative of -4*m**2 + d*m**2 - 2 + 2*m**2. Give w(l(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(72))*-4 + -5 + -4)**2.\nAnswer: 624*sqrt(2) + 1321","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-132004)\/(-11902) - (-12)\/(-11)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 162*b**3 - b**2. Let m be t(1). Let x be m + (3 - 4\/2). Suppose 5*r - x = 2*r. Does 18 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.16706 to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of r**4\/3 + r**3\/6 + 5*r + 2. Let f(y) be the first derivative of s(y). What is the second derivative of f(w) wrt w?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*b + 1 + 7. Let w = -3 - -2. Let u be w\/1 + (-58)\/b. Calculate the highest common divisor of 4 and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -9*y - 1. Let u be b(8). Let v = u - -238. Calculate the highest common divisor of 15 and v.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3 - -35*1) + 1. Let z = 33 - n. Suppose -4*t = 3*b - 9, z*t = -b - t + 4. What is the remainder when 32 is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10719 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -46*o - 4 = -8*x - 45*o, 5*x - 43 = 4*o for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4 - (1 - 0 - 1). Let c(p) = -2*p**3 + 31*p**2 + 46*p + 91. Let m be c(17). What is the first derivative of m + 15*r - o - 2 - 2 wrt r?\nAnswer: 15","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*a - 2829 + 9399. Differentiate 162 + a + 239*n**4 - 505 with respect to n.\nAnswer: 956*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*r - 176 = 51*r, 2*c + 19*r = 14*r + 63 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -64*r = -6*r. Let s(c) be the second derivative of -11*c + r + 3\/110*c**5 + 2\/33*c**3 + 1\/165*c**6 + 0*c**2 - 5\/66*c**4 - 1\/231*c**7. Factor s(o).\nAnswer: -2*o*(o - 1)**3*(o + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 35*i**2 - 20*i + 30. Is 10 a factor of v(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 637*h**3 - 3*h**2 + 6*h. Let z(q) = -10829*q**3 + 52*q**2 - 104*q. What is -52*s(v) - 3*z(v)?\nAnswer: -637*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y + 1. Let x be 1*(-4)\/(-12)*-3. Let f be j(x). Is 37 - 1 - (-1 + f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -2 + 0 + (8203 - 8176) + (25 - 1)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33 = -5*x + 2*d, -5*x - d + 14 = -7 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(56)\/(sqrt(8)*1*-5).\nAnswer: -sqrt(7)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -55 + 379?\nAnswer: 324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 2 = 2*f - 20, 4*f = 3*z + 32. Let x(s) = 116*s + 57. Let u(k) = 349*k + 170. Let t(r) = z*u(r) + 11*x(r). Differentiate t(y) with respect to y.\nAnswer: -120","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(3\/(30\/(-16)))\/((-37)\/185)\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*h + 34 - 34)*(-17 + 25 + 22) + 5 - 5 - h + (-4*h + 5*h + h)*(-2 + 5 - 1) + 0 + 0 - 2*h.\nAnswer: -209*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l\/(l\/l**(-2\/65))))**(-12)*(l\/(l\/l**(-1\/2)))\/l**(1\/2) assuming l is positive.\nAnswer: l**(-869\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 - z)*(-2*z**4 - z**4 - 5*z**4 - 5*z**4 + 0*z**4 + z**4 + (3*z + 4 - 4)*(-3*z + 3*z + z**3)) + (z + 1 - 1)*(-2*z**4 - 4*z**4 + 4*z**4).\nAnswer: 7*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 39671480 rounded to the nearest 1000000?\nAnswer: 40000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3.557 - -0.043. Sort -0.4, c, 0.3.\nAnswer: -0.4, 0.3, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17*228*107\/21828?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00245527044 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.0835*21.\nAnswer: -22.7535","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2*18\/(-20) + 2. Let f = -13 - -18.7. Let t = f + -6. Which is the smallest value? (a) 2\/5 (b) l (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0.2094, -18, -11, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 29*z**2 + 345*z - 47. Calculate m(-12).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -4*w - p + 125, -w + 11 = 3*p. Let t(q) = 17*q + 1. What is the remainder when t(6) is divided by w?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.0703 * 1948.\nAnswer: -2084.9444","meta":{"dup_signals":{},"source":"arithmetic__mul_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: Simplify (2 + -4 + -3*sqrt(208) + -3)**2.\nAnswer: 120*sqrt(13) + 1897","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 52\/7 + 8\/7*o**2 + 30*o.\nAnswer: 2*(o + 26)*(4*o + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46*u = 51*u + 10. Let m = 0.13 - 0.03. Which is the second biggest value? (a) u (b) m (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:10 AM and 3:39 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -635 + 1e9?\nAnswer: -44c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-18) + 698\/18. Let t = -4 + s. Suppose -7*i + 70 = -2*i. What is the greatest common divisor of t and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aeeeaemmrearmae. What is prob of sequence ram?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d - 4. Let n(l) = -1. Suppose -5*c = -5*k - 30, c = -k - 3*k + 11. What is c*n(z) - 2*o(z)?\nAnswer: -2*z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 2*v + 200 = 0. What is the remainder when v is divided by 2\/4 - 429\/(-26)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (4\/1)\/(-3*(-4)\/54). Sort s, 5, 4 in descending order.\nAnswer: s, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-9) + (-630)\/(-405). Find the second derivative of 7*q + 4 - 68*q**2 + 117*q**2 + 50*q**x + 10*q + 108*q**2 wrt q.\nAnswer: 414","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 4*l**2 - l + 3. Let s(u) = 3*u**2 - u + 4. Let x(k) = -5*b(k) + 4*s(k). What is x(-1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 10 + 44353?\nAnswer: 44403","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -108447*j**5*l + j**2*l**2 - j*l**2 - 17*j*l + 51*j + 2*l**2 + 44 wrt j.\nAnswer: -2168940*j**3*l + 2*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/8 in -0.6, -3, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114638400 a multiple of 96?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 13.6653329 rounded to one dp?\nAnswer: 13.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 25724625 + -1?\nAnswer: 25724624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7438835*b**4 - 16*b**2 + b + 61539.\nAnswer: -178532040*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 6 = 2*g. Suppose -5*b - 3*d + 4*d = 0, -g*b + 2*d = -7. Let z = -2 - b. Is z <= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*d - 4*o - 20, 100 - 77 = 2*d + 13*o for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -16*q + 34. List the prime factors of y(-8).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12)\/(-11)*(-3)\/(-6). Let x be (-6)\/(-11) - (-10)\/15. Let l = a - x. What is the closest to 2 in -1, 4, l?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*o - 16*o + 130 = 0 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 2*i - 14. Let b be j(7). Suppose 3*w = -b*w + 6. Solve -4*n + 2*x + 6 = 0, -w*x + 5 + 7 = 5*n for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -189487 divided by 1?\nAnswer: -189487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) be the second derivative of -1\/4*q**4 + 7\/3*q**3 - 7\/2*q**2 + 23*q - 1\/20*q**5 + 0. What are the prime factors of j(-7)?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/14 + 198\/(-14). Is 4\/v + (-2589)\/(-21) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = -2*u + 176, -c = -u - 28 - 16. Suppose 4*a = 5*j + 194, -5*a + 115 = 2*j - 111. Let f = a - c. Solve -f*w - 4 = 4 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116954 is divided by 19210.\nAnswer: 1694","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(-5)*(-2)\/68*(-1032)\/172\nAnswer: 6\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 963817120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 + 4 - 7 + (-6 + 3 + 1)*(-2 + 1 - 1) + 2 - 3 - 5)*(-v**3 + 6*v**3 - 3*v**3) as a*v + j + m*v**2 + x*v**3 and give x.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*q + 4*q**2 + 9*q + 41*q - 8 in the form b + u*q + y*q**2 and give b.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 892.38 rounded to the nearest ten?\nAnswer: 890","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is s in s**2\/3 + 13846*s\/3 - 13847\/3 = 0?\nAnswer: -13847, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -39*b**3 - 611*b**2 wrt b.\nAnswer: -234","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - f + 17328 = 0, -5300 - 1645 = 2*a - 5*f. What is the smallest common multiple of 64 and a\/(-441) - (-2)\/(-28)*-2?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 8*v**2 - 5*v + 36. Let u be q(-9). Let z = u - 161. Let l(f) = -8*f + 0*f - f. Determine l(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -1\/3*r**3 + 1\/30*r**5 + 0 + 2*r**2 + 1\/12*r**4 + 0*r - 1\/60*r**6. Factor y(b).\nAnswer: -2*(b - 1)**2*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 - 16. Let d be (v\/(-42))\/(30\/(-35)). Which is the nearest to -1\/2? (a) 4 (b) d (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide ((-120)\/(-16) - 9)*-3864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*b + 170 = 210*b + 1106 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -327*o + 33 + 16 - 49 + (o + o - o)*(-6 + 10 + 6) + (-o + 4*o - 5*o)*(1 + 4 - 3) + 0*o - o + 0*o - 3*o - 2*o + 6*o as j*o + k and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is d in 8*d**5 + 25*d**4 + 51*d**3\/2 + 13*d**2\/2 - 7*d\/2 - 3\/2 = 0?\nAnswer: -1, -1\/2, 3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2560232 is divided by 54444.\nAnswer: 1364","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -53844, -54061, -54350, -54705, -55120, -55589?\nAnswer: -56106","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 15491\/8 + (-6)\/4. Let p = 1938 - r. Find the common denominator of -38\/5 and p.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7*(-43 + 3)\/(-5)*(-815)\/(-140) is divided by 35.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*f**2 + 0*f**4 - 19 - f**4 + 3*f**2 + 2*f in the form u + i*f**3 + v*f**4 + z*f**2 + h*f and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -6 + 10. Let u = -8 - -11. Solve 5*i + 3*f = h, 4*i + 5*f - u*f - 2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 23053?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + b - 51 = 0, -3*d + 5*b = 10 + 7. Let i(s) = s**3 + 13*s**2 - 16*s - 21. Let p be i(d). Let a be (-4)\/(-6) - (-32)\/6. Solve p*f = 4*f - a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -20655*x - 784808. Calculate b(-38).\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -42 + 42.2. Let w be (-3)\/2*2\/18. Let k be 2\/(-8) + (-10)\/(-104). Which is the smallest value? (a) y (b) k (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 24*w - 477. Give m(26).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -16\/93119 and 49\/2223.\nAnswer: 838071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5155122?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 197708003 to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37537 is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 58 - 54. Let b be (-1 + -1)*5\/(-10). Solve -3*n = f - b, 11 = -4*n - 3*f + z for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -111.48 + 116. Let h = x + -4.53724. Round h to three decimal places.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -192*s - 120. What are the prime factors of g(-3)?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 times 2378?\nAnswer: 475.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the second derivative of m**2 - 1\/6*m**4 + 0 + 0*m**3 - m. Factor l(s).\nAnswer: -2*(s - 1)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 2*v + v)*(-4 + 3 + 0) + 19*v - 6*v + 6*v.\nAnswer: 18*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -29*c + 1. Let f(s) = -28*s + 1. Determine -6*f(p) + 5*y(p).\nAnswer: 23*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 102*m**3 + 0 + 1 + 3*m**2 - 103*m**3 in the form q*m**3 + v*m + b*m**2 + p and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 8*c**2 - 12*c + 3. Let h be m(-6). Let w be (-4)\/12*(-3 + h). Suppose 4*i = -w*i + 44. Calculate the highest common factor of 11 and i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -75, 1, 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**5\/60 + 5*j**4\/24 + j**3\/2 - 15*j**2 + j - 86. Let q(f) be the second derivative of i(f). What is q(6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the first derivative of 9*q**4\/2 + q**3\/2 - 2*q**2 - 29*q + 38. Let n(r) be the first derivative of t(r). Is n(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*c**4\/5 - 66*c**3 + 6534*c**2\/5 + 646866*c\/5.\nAnswer: 2*c*(c - 99)**2*(c + 33)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/5 - 9*r**2\/5 - 8*r\/5 = 0.\nAnswer: -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.109 (b) 1\/1259 (c) 4 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 5*v + 1. Let g(b) = -3 + 565*b - 290*b - 284*b. Calculate 6*g(y) + 11*w(y).\nAnswer: y - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11940 + -4974. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 544, 1080, 1616, 2152?\nAnswer: 2688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.479 - 0.449. Round x to 1 decimal place.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 3*k - 9, 5*q + k - 6 + 3 = 0. Let u(y) be the second derivative of 0*y**2 + q + 1\/54*y**4 + y + 1\/90*y**5 + 0*y**3. Determine x so that u(x) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 20722\/15 and 16.5 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 19*n**2 + 53357*n - 1119609. Determine i(21).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - -58 - -22 - (10 - 1).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(1\/2)*-2. Let m be 0 - (0\/(-1) - -7). What is the units digit of (-9)\/m + i\/14?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is o in o**3\/2 + 49*o**2\/2 + 113*o + 132 = 0?\nAnswer: -44, -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 170262 and 378.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y - 10. Give l(3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 101 - 71. Let l = 66 + -61. Suppose 4*f - 3*r = 1077, l*f - 267 = 4*f + 3*r. What is the highest common factor of f and c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501574640.\nAnswer: 2, 5, 31269683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 3*j - 563 = 0, -3*v + 2*j = -459 + 1271. Let b = v + 290. List the prime factors of b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.4 and -2729327.\nAnswer: -2729326.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 353, 1877, 4417, 7973, 12545?\nAnswer: 18133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -19 + 25. Let x(b) = 3*b**2 + b + 1. Let j be x(-1). Suppose 0 = z*m - m + t - 97, m - 29 = j*t. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 j when two letters picked without replacement from {r: 1, b: 3, k: 6, j: 4}?\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3258 divided by 1.\nAnswer: -3258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 3 = 3*t. Suppose a = -u + 1, u + t = a - 0*u. Let n(b) = 10*b**a - 3*b + 8*b - 11*b**2 + 5. What is n(5)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (154\/(-33))\/(483\/(-7866))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v + 93635*d - 21 = 93640*d, -3*v - 9 = 3*d for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13170, -13176, -13186, -13200?\nAnswer: -13218","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 57104566.\nAnswer: 2, 59, 483937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 plus -21466?\nAnswer: -21466.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4\/(-80)*-15)\/(1\/4). Determine k so that -k**a + 46 + 3*k**2 - 8 - 38 + 5*k**2 = 0.\nAnswer: 0, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 17 + 60\/8*-2. Let a(r) = 9*r**3 + 2*r**2 - 3*r - 3. What is a(q)?\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -2*k**2. Let z(w) be the first derivative of -596*w**3\/3 + 513. What is z(l(j))?\nAnswer: -2384*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1008 - -1002. Let j(d) be the second derivative of -9*d**5\/20 - 2*d**4\/3 + d**3 + 7*d. Let t(z) = 8*z**3 + 7*z**2 - 5*z. Determine n*t(x) - 5*j(x).\nAnswer: -3*x**3 - 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2\/7, 5, 0, -3, 91?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 3 + -19. Let l = -35187\/10 + 3512. What is the common denominator of l and (78\/165)\/(a\/(-20))?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 374 = -3*m, -n = 4*n + 2*m - 384. Suppose u = -u + n. Does 19 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -9207, -15285, -21365, -27447, -33531?\n\"Answer: -w**2 - 6075*w - 3131","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -15237, -15474, -15879, -16458, -17217, -18162?\n\"Answer: -y**3 - 78*y**2 + 4*y - 15162","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -7?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-30))**(-3\/28)*(w*w**(-23)\/w)**(2\/19) assuming w is positive.\nAnswer: w**(211\/266)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dup when three letters picked without replacement from dddpuidduudpu?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -19294.328 from -18.\nAnswer: 19276.328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 15 = 2*z, -25 = -4*q - 0*z + z. Solve d - 5*i + 0*i + 10 = 0, 28 = -q*d + 3*i for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 - 2*x. Let b be t(0). Suppose b = -2*j + 60 - 44. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 96 divided by -16\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a tonne in kilograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 101044438?\nAnswer: 2, 11, 31, 13469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 122242380 and 585?\nAnswer: 195","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 19*u**2 - 32*u - 32. List the prime factors of b(-10).\nAnswer: 2, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g**(10\/11)\/g)\/(g**(3\/13)*g) assuming g is positive.\nAnswer: g**(-46\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(525) - -3*(sqrt(525) + -1*sqrt(525))) + sqrt(525))\/(sqrt(21)\/(sqrt(3) - sqrt(48)*-1)))**2.\nAnswer: 7500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*u**3 - 280*u**2 + 3772*u - 8904.\nAnswer: 4*(u - 53)*(u - 14)*(u - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 19140 and 116.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -15 + 15. Suppose y*v + 366 = 6*v. Let n = v + -21. What are the prime factors of n?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*l**2 + l**2 - l**2 + (2 + 2*l - 2)*(-2*l + l + 3*l).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-26 + 13 + 15)) + -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 9 or 8?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b, 1 k, and 1 c when four letters picked without replacement from krbkcckbolllbr.\nAnswer: 18\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 119 = 97. Is t equal to 161\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 775 - 671. Calculate the remainder when y is divided by (-1)\/(-2) + 111\/6.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u - 1. Let b be (-2)\/(-4)*(7 - 9). Let d be w(b). Suppose d = -a + 5*a - 100. What is the greatest common divisor of a and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 376 + -332. Suppose 0 = -x*c + 9*c + 280. Solve 6*k + 10 + c = 0 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) be the third derivative of p**6\/280 - 219*p**5\/140 - 55*p**4\/14 + p**2 - 3. Suppose v(t) = 0. What is t?\nAnswer: -1, 0, 220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8 = 22*j - 3 - 5 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 872717182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**2 + 11128*q - 188020.\nAnswer: -4*(q - 2765)*(q - 17)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 241711 a multiple of 47?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4687 and 143662?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -305*b + 26. Let w be t(7). Find the common denominator of -119\/50 and 4\/(-6)*w\/266.\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/1486548 and -103\/456.\nAnswer: 56488824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 less than 221208?\nAnswer: 221206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-252)\/(-49))\/12)\/(2\/(-4)).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ukauffkkkklfluqkklk. Give prob of picking 1 u and 1 a.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that -8*q**5\/9 - 280114*q**4\/9 - 2451470060*q**3\/9 + 9198633304*q**2\/9 + 14715474068*q\/9 + 3065650810\/9 = 0.\nAnswer: -17509, -1, -1\/4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n*n\/n**(-21)*n*n**(-11\/2)\/n assuming n is positive.\nAnswer: n**(35\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.37 - -193747519.\nAnswer: 193747517.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 13. Suppose 0 = -3*d + 4*l + 10, l - 1 = -2*d + 2. Let j = t + d. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1897*z**5 - 33*z**2 - 14 wrt z.\nAnswer: 113820*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (((sqrt(78) - sqrt(78)*-1) + sqrt(78))\/sqrt(6) - (5 + sqrt(832))).\nAnswer: -5*sqrt(13) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z - 3*z - 9*z + 3 to the form q + p*z and give p.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -4aa5b (base 14) in base 2?\nAnswer: -101100101101101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of n**5\/12 - 68*n**2. Let t(m) = -9*m**2 - 1. What is -3*t(k) - 5*u(k)?\nAnswer: 2*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.071 times 18.8?\nAnswer: 1.3348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 4\/7, 2\/9, 158 in descending order.\nAnswer: 158, 4\/7, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (9\/(54\/(-48)) - -5)\/((-891)\/(-66))\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 3131*m + 217. Let a(w) = -29*w - 2. Determine -434*a(j) - 4*k(j).\nAnswer: 62*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**2 - 50502*c + 353460. Give o(7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -214*h + 2920. What is j(14)?\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 277, 286, 295, 304?\nAnswer: 313","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 + -21. Solve -2*g + i = -5*d, -1 = -d + 2*g - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -77*d**3 - 2*d + 79*d**3 + 1 + 7*d to n*d**3 + c*d**2 + a + k*d and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in -8, 0, 170.039?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8396070500 rounded to the nearest one million?\nAnswer: 8396000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8555, 34231, 77031, 136961, 214027, 308235, 419591, 548101?\nAnswer: 693771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 54*u**3\/13 - 112*u**2\/13 + 8*u\/13.\nAnswer: 2*u*(u - 2)*(27*u - 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - 1) + -44 + 59 + 1 - -6\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 - 5. Suppose -b*j - 25 = -u - u, 2*u = -j + 5. Let k(x) be the first derivative of x**2\/2 + 7*x + 2. Give k(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 30535161 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 229 divide 1188052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -1)*18\/12?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 85 + 2*5\/(-10). Suppose 5*n = n + j. Let w be 49\/n - (-2)\/18*-3. Solve w*r = -0*r - 4 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - 16*a**2 + 127*a - 616. What is the remainder when l(12) is divided by 58?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*u + 16*u - 3*u = 546 for u.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-318)\/(-30) + (-90)\/9.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -15540 (base 9) to base 15.\nAnswer: -324c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 5 - 15 = 0, 5*u = 3*w - 19. Suppose -2*r + w = -1. Find the third derivative of 2*m**2 - 2*m**4 + 0*m**r + m**4 wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.0285 - 46998279.\nAnswer: -46998279.0285","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q**3 + 2*q**3 + 0*q**3)*(-19*q + 48*q + 17*q).\nAnswer: -46*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the second derivative of 9*h**5\/40 + 5*h**4\/8 + 7*h**3\/12 + h**2\/4 + 12*h. Factor c(p).\nAnswer: (p + 1)*(3*p + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-121 - -133) + -9 + 0 + (-44 - 4).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -61 and -12282.\nAnswer: -12343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 363, 727, 1091, 1455?\n\"Answer: 364*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.5029 - 0.5. What is s rounded to 3 dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = -j - 15. Let k be (j\/(-80))\/(2\/8). Which is bigger: 0 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 6339?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*1653\/1624*4\/3.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 288 by -90.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 42 and 217?\nAnswer: 1302","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 88361592?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3.173 + 3.573. Let l be (-12)\/9*(-6)\/10. Put 5, j, l in decreasing order.\nAnswer: 5, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -470 + 296. Let a = -159 - p. What is the second smallest value in -1, a, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = 25*j + 5. Let a(d) = -d + 3741. Give p(a(w)).\nAnswer: -25*w + 93530","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -939, 3, -1\/10 in decreasing order.\nAnswer: 3, -1\/10, -939","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 10 = 0, -s + 13 = 27*f - 26*f. Let k be (-1)\/4 - 17\/(-4). Suppose -5*l - k = -9*l. What is the lowest common multiple of f and l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 240 divide 418080?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -98 in -0.3, -67\/6, 0.3404?\nAnswer: -67\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 1*-5 - 19\/2 - 4\/8\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*b + 3*b - 2*b + 4*b.\nAnswer: -b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 106182867 to the power of 1\/4, to the nearest integer?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 71*j - 1 - 121*j**2 + 68*j + 66*j - 206*j + 0.\nAnswer: -121*j**2 - j - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -19 divided by -70?\nAnswer: 19\/70","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 129 + -126. Suppose 0*i = -2*i + 4. Sort d, -5, -2, i in decreasing order.\nAnswer: d, i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -708 - -1018. What is the hundreds digit of 7*(-8)\/(-28) + 2 + z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 17886 = -2*m, 35770 = 4*z - 3*m - 0*m. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -24 + 28. Suppose -88 = -m*b + 104. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 10:37 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:55 AM and 6:30 AM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tlul when four letters picked without replacement from lttullttt.\nAnswer: 5\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 6825154 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: Four letters picked without replacement from {m: 5, u: 1, w: 2, n: 2, q: 6}. Give prob of picking 1 q, 2 n, and 1 w.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of (-15243)\/(-9) + (-110)\/30 and 676?\nAnswer: 3380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 divided by 912.\nAnswer: 1\/304","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d*d**(11\/4)*d*d**(-1) assuming d is positive.\nAnswer: d**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.2865 - -0.0865. Which is the closest to -2\/33? (a) -2\/5 (b) o (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a - 32 = 2*a. Suppose -4*j = 20, a*p - 84 = -2*j - 2*j. What is the remainder when 152 is divided by p?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 105006 and 4581951?\nAnswer: 1419","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -291\/4 + 69. Is v >= -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/74 in -98, -1, -2\/17, -5\/4?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*o**2 + 3*o**2 + 2*o**2 + o**2 + o**2 - 4*o**2 + (36 - 36 - 8*o)*(3*o - o + 0*o).\nAnswer: -16*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.644 - 0.694. Let f = 3 - 3.35. Let d = f + j. Which is the third smallest value? (a) -2\/7 (b) d (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 283 = 5*u, -2*u + 4*j + 79 = -29. Solve 3*a + u = 62 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20343 by 20343.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uau when three letters picked without replacement from {a: 1, n: 1, v: 1, i: 2, u: 4}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/14 - (3\/(-51) + (-817974)\/6902) is divided by 36?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -120122010 - -1120?\nAnswer: -120120120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = y + 5, t + 2*y = -27. Let u = t + 36. Is (u\/20)\/(1\/68) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 49*g**2 + 228*g - 96. Calculate c(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - s - 2*l = -54, 0 = s - 3*l - 29. What is the lowest common multiple of (-2)\/3 + s\/3 and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 234 and 2448108.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u**3\/7 + 722*u**2\/7 + 2864*u\/7 + 408 = 0. Calculate u.\nAnswer: -357, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 9895 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 88 - 86. What is the least common multiple of 18 and h?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -230030, -231548, -233066?\n\"Answer: -1518*l - 228512","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-66 + 228 + 99)*(m - 8*m + m).\nAnswer: -1566*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 61695681 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 - 6 = 4*k. What is the derivative of 2*m - k*m - 2*m + 1 + 2*m wrt m?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + 17 = 14*x + 3, 4*x = -u + 18*u + 4 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6.2461 and -1088.\nAnswer: 6795.7568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -98 + 98. Suppose s = 2*l - 39 + 33. Suppose l*z - 10*z + 1596 = 0. List the prime factors of z.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z + 11. Is q(-5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 3*z**2 - 6*z - 6. Let a be q(-4). Suppose -m - 3*f = -a*m + 1, -5 = -5*m + f. Let b(j) = 553*j. Is b(m) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 184?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11075 and 355.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 21*n - 3. Calculate w(0).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 275*w - 339731 + 339731. Let m(a) = -3*a**2. Give v(m(i)).\nAnswer: -825*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g - 18. Let f be h(-8). Let k = -5 - f. Suppose 4*v + k*y - 384 = 3*y, 5*y + 495 = 5*v. What is the units digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 - (5 + (-2 + 3 - -13 - 1)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the second derivative of 1\/3*g**3 + 16*g + 0 + 5\/2*g**2. Let i be (6\/10 + -1)*-10. What is z(i)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 - 5*h**2 - 6*h - 5. Let k(o) = o**2 + o + 1. Suppose -3*c = z + 8, -2*c + 9 = 3*z - 4*c. Determine z*s(u) + 6*k(u).\nAnswer: -u**3 + u**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1645 - -8.\nAnswer: 8.1645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 - -1 - (-1 + -2).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z. Let w(u) = -u - 1. Let o(j) = -11*j - 2. Let f(y) = -o(y) + 2*w(y). Give f(r(d)).\nAnswer: 9*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*p + 133 + 145 = 138 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by 13?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 27311 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 37*a - 26 - 15 + 41.\nAnswer: 37*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 3466 a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*32\/(-20)*10\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cvkkkckikkkkkkk. What is prob of picking 2 k, 1 i, and 1 v?\nAnswer: 11\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*w - 3492 = 18*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63.9424 grams to micrograms.\nAnswer: 63942400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 - 4 + 0)*(-4 + 4 + 1)*(-2*b**5 - 14*b**5 + 8*b**5).\nAnswer: 8*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42260 is divided by 18.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.12 smaller than 796285?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 360 - 359.99999829. Round k to six decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -14 + 14.2. Sort -8, -5, m.\nAnswer: -8, -5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 0*p + p + 100 = 0, 20 = l + 3*p. Let o be (-4)\/l - 18\/(-15). List the prime factors of (o\/(-1) - -1) + 36.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s = 5*w + 33, 689*w = 1382*w - 696*w + 5*s - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 96326 less than or equal to 96326?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 83470095?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 9618889 to the power of 1\/7, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 66148608?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*s**2\/2 + 120*s - 630.\nAnswer: -5*(s - 42)*(s - 6)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 2 z when four letters picked without replacement from {z: 9, b: 10}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8733\/328 - (-6)\/16 and 7.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 19 - 99 = 0. Let o = 26 - t. Calculate the lowest common multiple of 2 and o.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q**2 - 10*q + 1. Let z(i) = 15*i**2 - 20*i + 3. Let a(y) = 5*j(y) - 2*z(y). Suppose 0 = -4*c - 7 + 27. Is a(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5)\/u)\/((u*u*u**(-2\/23)*u*u)\/u) assuming u is positive.\nAnswer: u**(-205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126988, -253978, -380968, -507958?\nAnswer: -634948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78639 is divided by 3419.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 54\/91 and 17\/117.\nAnswer: 819","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -232*v - 186*v - 171*v - 212*v - 178*v + 988*v.\nAnswer: 9*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 3 + 4 + -5 + 4.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 35, -22 in increasing order.\nAnswer: -22, 6, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from acslmalt. What is prob of picking 1 m and 1 a?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 211181093 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73 times 144?\nAnswer: 105.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 1486 + 4173*z**3 - 3157621*z + 3157621*z wrt z.\nAnswer: 12519*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cvcdv. Give prob of picking 1 v and 2 c.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -14 * -23992\nAnswer: 335888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -11365848, -22731703, -34097558?\nAnswer: -45463413","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -130*d + 1096 = 446, 0 = 5*n - 2*d + 8 - 63 for n.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*o**5 - 32*o**4 + 68*o**3 + 296*o**2 + 304*o + 96 = 0. Calculate o.\nAnswer: -2, -1, -2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*p + 60*p = 5*s + 21, 3*p + 23 = -11*s for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(567) + sqrt(567) + (0 + sqrt(567) - sqrt(567)) + sqrt(567)) + 1)**2 + (-4*(sqrt(567) + 1*sqrt(567)) - (sqrt(567) + -2 + 0 + sqrt(567)))**2.\nAnswer: -198*sqrt(7) + 102632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*a - 4*a - 30 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 33. Calculate the remainder when n is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1780, 8, -306 in decreasing order.\nAnswer: 1780, 8, -306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minus -367891297717?\nAnswer: 367891297729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*a + 11 = 2*k, 3*k - 8*a - 15 = -12*a for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 4*m + 7 = -0*m, 0 = -4*m + 8. Let v(c) = -49*c - 54. Let y(x) = 49*x + 55. Let k(g) = b*y(g) - 4*v(g). Differentiate k(f) with respect to f.\nAnswer: 49","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 6*h**2 + 16*h - 26. Let t(s) = 10*s**2 + 24*s - 40. Give 8*o(d) - 5*t(d).\nAnswer: -2*d**2 + 8*d - 8","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:04 AM and 9:32 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 246 a factor of 26568?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 251.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 80650112 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*o - 4*o - 3*l = -149, 19 = -o - 3*l. Let j(i) = -7*i - 266. Let h be j(o). Round h to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(336) + sqrt(336))\/sqrt(7).\nAnswer: 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1143078?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -t**2. Suppose -4*q + 11 = 3*k + 2, 5 = -k - 4*q. Let y(o) = -k*o + o + 6*o**2 + o - 4*o**2. Determine j(y(d)).\nAnswer: -4*d**4 + 20*d**3 - 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -96, -383, -854, -1503, -2324, -3311, -4458?\n\"Answer: m**3 - 98*m**2 + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 4, m: 1, t: 2, i: 3}. What is prob of sequence xtm?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7252381*d**5 - 20*d**3 - 136761953*d**2 wrt d?\nAnswer: 435142860*d**2 - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 times -28.36181?\nAnswer: -56.72362","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 13 (b) -55.8 (c) 3 (d) -0.4 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**3 + 8*i**2 + 7*i + 2. Let d be l(-4). Suppose -r - 4 = -66. Let v = r - d. Solve -3*u + v = 9 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5974 - -11951\/2. Let y = 187\/245 - 8\/49. Which is the closest to w? (a) y (b) -2\/11 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -894.7 rounded to the nearest one hundred?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + (5 + (sqrt(32) - (sqrt(32) + 4) - sqrt(32)) + 3 + sqrt(32) + -1 + 0)**2*-5).\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2072.\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -9 in -2\/13, 0.1, 725, 2\/69, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -12*d**2 + 563*d - 818. Determine v(45).\nAnswer: 217","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -37*v**4 + 23*v**2 - 2.\nAnswer: -888*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4226 by -7928.\nAnswer: -2113\/3964","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -36540392, -36540405, -36540418, -36540431?\nAnswer: -36540444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 11*r**3 - 2*r + 11*r**2 + 158*r**4 - 1 - 9*r**2 + 0*r**2 - 157*r**4 in the form u*r**3 + q*r**4 + d + a*r + f*r**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -133024 (base 5) to base 7\nAnswer: -21466","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 2*v + 4*y - 3, 4*v = 4*y - 4. Solve 20 = -v*b + 6*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -417, -1572, -3505, -6216, -9705?\nAnswer: -13972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 15 - 15. Which is the closest to -4? (a) -1\/3 (b) z (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -12.853 and -2.3?\nAnswer: 29.5619","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 63 + -59. Solve -3*x + 0*p - 6 = p, 2*x + c*p = -14 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5679837 centuries to decades.\nAnswer: 5.679837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 171885182?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-2)\/6)\/((-2469)\/357 - -7) and 65\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1014*j - 1618*j - 125466 = -258*j + 1428*j for j.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 845 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -5 - 2\/(-2 + 4). Let v be 7 - 6 - r\/(-5). Are -2\/9 and v nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 57\/(87780\/(-1505))?\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*q - 3*r, q = r + 2 - 1. Is (-20 - q)\/(2*1\/(-2)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*m - 3 = -10*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(-5\/4))\/(s*s**7\/s*s))**(-7)*(s**(-1\/3)\/(s\/s**(5\/3)))**(-7) assuming s is positive.\nAnswer: s**(455\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 21*x. Let q(i) = -30*i - 36. What is u(q(f))?\nAnswer: -630*f - 756","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/24 and -5\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.02? (a) 3 (b) 4 (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 99961 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + 1 + -29 + 1488\/31.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 4*a - 13. Suppose 2*u = 4*s - 16, -a*s + 12 = -u - 1. Let n = -1 + s. Solve -t + 15 = -n*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fooo when four letters picked without replacement from ooffooof.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 229298048521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/j**1)**41\/(j**1)**(-4\/15)*(j**(-1))**(19\/6)*j**(1\/8)*j**4\/j assuming j is positive.\nAnswer: j**(9\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = -l. Suppose 2*m - 4*p = 0, -2*m - 5*p + 2 + 7 = l. Suppose -5*o + 225 = -3*g - 120, -138 = -m*o + 3*g. What are the prime factors of o?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of -o**4\/6 + 2*o**2. Let p(z) be the third derivative of 0 - 1\/12*z**4 + 0*z - 31*z**2 + 0*z**3. What is -3*h(u) + 7*p(u)?\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -7*i**3 - 7*i**2 - 4*i + 1. Let q be k(-2). What is the third derivative of 18*f**3 + 2314*f - 2314*f + q*f**2 wrt f?\nAnswer: 108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 33*o**3 - 82*o**3 + 13 - 14.\nAnswer: -49*o**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -18854.48 to the nearest 10.\nAnswer: -18850","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-5*sqrt(85)*-2)\/(sqrt(40)\/(sqrt(32)\/sqrt(4)) + sqrt(25)\/sqrt(5)*5).\nAnswer: -5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 8682411, 8682390, 8682371, 8682354, 8682339, 8682326?\n\"Answer: p**2 - 24*p + 8682434","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -39?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 19, 41, 2.\nAnswer: -9, 2, 19, 41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 - 2*c**2 - 2 + (5*c - 4*c + c)*(-6*c + 5 - 5) + 27 + 8*c**2 - 27 - c**2 - c**2 + 4*c**2 + 13 - 13 - 2*c**2 to s + w*c + g*c**2 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 122 - 118. Suppose -9 - 5 = -5*d + 2*b, 5*d - 2 = -p*b. Let u be 220\/(-16) + d\/(-8). Which is smaller: -15 or u?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p**3 + 34*p**2 - 110*p - 4. Determine h(-37).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x + 32 = -4*x. Calculate the smallest common multiple of x and 20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/(-88)*38\/95?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 83 + -63. Let 35*h + 17*h**2 + l - 4*h**3 + 0*h**3 + h - 5*h**2 = 0. What is h?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = r**3 - 18*r**2 + 17*r - 4. Let q be h(17). Let b(w) = -w**2 + 3*w + 1. Let n(k) = 2*k**2 - 6*k - 2. Calculate q*n(f) - 7*b(f).\nAnswer: -f**2 + 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4769 - 76 = -361*v for v.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 152*a + 1. Let h(o) = -8*o - 5. Let c(p) = -5*p - 3. Let j(y) = -5*c(y) + 3*h(y). Determine j(k(u)).\nAnswer: 152*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8196660 or 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22411, -18764, -15129, -11512, -7919, -4356, -829, 2656?\nAnswer: 6093","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*y**2 - 3*y**2 + 6*y**2 + (2*y - 2 + 2)*(-3*y + 0*y + y).\nAnswer: 2*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*m - 0*m + 4, -2*m = i - 8. Let g(k) be the second derivative of -k**4\/4 + 8*k**3\/3 + 57*k. Let b be g(5). Put -5, b, i in decreasing order.\nAnswer: b, i, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a65 (base 12) in base 3?\nAnswer: 2002012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-9)\/42*1)\/(15*(-27)\/540).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 4*w = -0*w + 440, 5*f = 3*w + 1035. Suppose 74*x = 69*x + f. What is the remainder when 167 is divided by x?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -4*m**2 + 383*m - 4824. Calculate v(81).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1088) + 1 + 2)**2.\nAnswer: 48*sqrt(17) + 1097","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out 96.4 * 35231.\nAnswer: 3396268.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(171))\/sqrt(3))\/(sqrt(27)\/(sqrt(9) + -2*sqrt(9))))**2 + -1.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6, 2*t = -152*g + 154*g - 32. Let j(k) = k**2 + 14*k + 40. Calculate j(t).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**2. Let y(a) = -92*a - 106*a + 110*a. What is y(x(k))?\nAnswer: -88*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/(1\/(-1)*-1). Let x be ((-12)\/(-10))\/(3\/i). Suppose 46 = x*n - 38. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 910339 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 + 153. Let o(j) be the second derivative of -j**3\/3 + 5982*j. Determine o(d(s)).\nAnswer: 2*s**2 - 306","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3.2 + -0.8. Let z be ((-10)\/(-6))\/(2\/6). Which is the smallest value? (a) f (b) z (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1222212220 (base 3) to base 11.\nAnswer: 27571","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*f = 13*f. Solve -2*t + 4*t = f for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t = -4*p - 146, -14529662 = 3*t + 4*p - 14529711 for t.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 1.3. Let l = h - 1.807. What is l rounded to 3 dps?\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 564 minutes after 3:15 PM?\nAnswer: 12:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -45547*p**3 - 45554*p**3 + 91120*p**3. Let u(k) = -210*k**3. Calculate -45*g(x) - 4*u(x).\nAnswer: -15*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 47*r - 145088 - 33186983. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1112, 0.4, -43, -87 in ascending order.\nAnswer: -1112, -87, -43, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*l + 1 + 23, -3*a + 2*a = 1 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-5))\/(237\/(-1896)*4\/15).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-764)\/(-168) + -4)*90\/1410 and -3\/329?\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(sqrt(275) - (sqrt(275) - (sqrt(275)*-1 + 2)))*-4.\nAnswer: -16 + 40*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -1928*q + 29*q. Suppose 1\/4*j**3 + 0 - 1\/4*j**5 - 9\/4*j**4 + q*j + 9\/4*j**2 = 0. Calculate j.\nAnswer: -9, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 231 = 3*k + 2*k, -4*k - 5*a = -207. What is the greatest common divisor of k and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g**5\/5 - 46*g**4 + 1042*g**3\/5 + 8222*g**2\/5 - 28336*g\/5 + 1176 = 0. Calculate g.\nAnswer: -14, -7, 2\/9, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 6379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -183*z**5 - 730*z + 413042*z**3 - 413043*z**3 + 2*z**2 - 2*z**2 wrt z.\nAnswer: -3660*z**3 - 6*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.007, -3, 13, 0.07, 52?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**3*k)\/k)**20*(k*k**12)\/(k\/(k*k\/k**(-3\/28)*k)) assuming k is positive.\nAnswer: k**(3223\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - ((1 - 0) + 44 + (220 - 207)).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - ((-2628)\/15)\/((-4)\/(-20)). Suppose -3*l = 5*k - 3769, 4*k + 5*l - 2134 = d. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 40, 213, 522, 967, 1548?\n\"Answer: 68*u**2 - 31*u + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 41920 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c + 97 - 29. Let i = c + -20. Let t(b) = -b**3 + 4*b + 2. Let o be t(i). Calculate the greatest common factor of 68 and o.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2500*q - 102*q**3 - 2500*q + 107*q**3.\nAnswer: 5*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -5, 1, -8 in descending order.\nAnswer: 8, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 17 - 21. List the prime factors of ((-10)\/f)\/((-4)\/(-48)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**2 + 8. Let v(z) be the third derivative of z**4\/24 - 3*z**2 + 2. Give v(l(q)).\nAnswer: -q**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5975517*y**3 - 2*y**2 + 2*y - 1572196 wrt y.\nAnswer: 35853102","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 754 and 208.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-2)*48\/(-36)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3958336 by -31168.\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 11478 and 923979.\nAnswer: 1847958","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 63426667 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-4)\/(-10)*(-2 - -7). Suppose -2*f = -4*x + 2 + 10, 3*f = -o*x - 18. Let c = 18 - f. What is the greatest common divisor of 6 and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1127 and 98.\nAnswer: 2254","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 3:38 PM?\nAnswer: 10:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -0.4 (b) 3 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -4*a**4\/5 - 12*a**3\/5 + 12*a**2\/5 + 28*a\/5 - 24\/5 = 0.\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3377*l - 915*l = 4318 - 167414 for l.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-3) + (-5166)\/(-27). What is m rounded to the nearest ten?\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-14)*k)**(-37))**(2\/19) assuming k is positive.\nAnswer: k**(962\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1062*y - 84 = 1050*y for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61048207?\nAnswer: 11, 17, 31, 10531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 + l. Let n be p(-3). Let z(o) = 2*o - 8. Give z(n).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*n + 0 + 0 + (-1 - 1 + 1)*(2*n + 0*n - 3*n) + n + 0 + 0)*(-34*n**4 - 31*n**4 + 0*n**4).\nAnswer: 65*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (1*8\/(-6))\/((-46)\/69)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6185\/3 - 2061. Suppose 1\/3*f**2 + 1\/3*f - l = 0. What is f?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32301 a multiple of 291?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 4*q + 9. Suppose -4*b = -b + 78. Let t(f) = 28*f - 9. Let k(h) = -13*h + 4. Let a(l) = 13*k(l) + 6*t(l). What is b*a(v) - 6*z(v)?\nAnswer: 2*v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 5*a**2 - 3593115*a - 3593120 = 0?\nAnswer: -1, 718624","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 divided by 39?\nAnswer: -11\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8153473?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (2 + -1)\/1 + 8. Calculate the common denominator of 3 - ((-202)\/y)\/(-2) and 35\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 268944691?\nAnswer: 268944691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-528)\/(-1188)*9\/5)\/(2\/10).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the second derivative of 25*z**4\/3 + 2*z**3 + 41*z**2\/2 + 2*z + 87. Is m(-15) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-4))\/((-3)\/24*-2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -17 + -29 + (-18 - -33) + (1 - 10 - -1)\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l - 5 = 4. Let i be l\/(-3) - 4 - -37. Suppose -2*b + 18 = -i. Calculate the remainder when b is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = 19*t**2 + 6*t - 6. Let x(u) be the second derivative of 37*u**4\/12 + 11*u**3\/6 - 11*u**2\/2 - 30*u + 2. Calculate -11*o(k) + 6*x(k).\nAnswer: 13*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nggydrr. What is prob of picking 1 g and 1 n?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 54*k + 24 - 9 + 18*k - 2*k**2 to l*k**2 + w + q*k and give w.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 10\/45 + 134\/126. Factor 3\/7*b**2 + w*b**4 - 15\/7*b**3 + 0 + 3\/7*b.\nAnswer: 3*b*(b - 1)**2*(3*b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1561 is divided by 118.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 107*s - 66*s + 4312 = -267*s for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 418 is divided by 54.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven tenths of a meter in millimeters?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/3*103 + 2. Suppose -3*m + 15 = 0, q + q - 2*m = 64. Let u = q - y. Which is greater: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m**2 - 3*m**2 - 4*m**2)*(6 - 6 + 5*m)*(-1 + 1 + m**2)*(-1 - 1 - 1).\nAnswer: 15*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 65080?\nAnswer: 2, 5, 1627","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 16 + -11. Solve 10 = -5*m - r for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 108303 + -57405.\nAnswer: 50898","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) be the third derivative of 1\/210*q**7 + 0 - 92*q**2 + 1\/2*q**3 - 1\/60*q**6 + 1\/12*q**4 + 0*q - 1\/15*q**5. Factor z(b).\nAnswer: (b - 3)*(b - 1)*(b + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d**3 + 19*d**2 - 32*d - 35. Let r be y(17). Sort r, -3, 4, -20 in decreasing order.\nAnswer: 4, r, -3, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/33 in 2542, -0.3, -5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -358, 17330 in descending order.\nAnswer: 17330, 1, -358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4063*k + 3895*k - 5880 = 0 for k.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2035402 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 8\/3, 23\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 + 154. Let z be (-2)\/(((-6)\/(-4))\/(108\/u)). Put 3, 9, 4, z in ascending order.\nAnswer: z, 3, 4, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = -2*x - 176, -7*x - 372 = -3*x + 3*c. Let u = x - -286. What is the greatest common divisor of u and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8*u**2 + 2 - 2 + 7*u**2 + 13*u**3 wrt u?\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1364 and 1984?\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -985 - 371 = -226*n for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = j**2. Let l(k) = -29*k**3 - 2*k**2 - 2*k. What is -l(w) - 2*o(w)?\nAnswer: 29*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -65, -308, -713, -1280?\n\"Answer: -81*m**2 + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 620 minutes after 1:49 PM?\nAnswer: 12:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/24167 and -62\/15379?\nAnswer: 169169","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 30911361941 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b16ba (base 12) to base 10.\nAnswer: -230830","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 30 and -6844.\nAnswer: -205320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t - 29. Let q(j) = j. Calculate -6*q(l) + s(l).\nAnswer: -5*l - 29","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1236633 is divided by 8294?\nAnswer: 827","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 6*q + 5. Let v be a(7). Suppose -h + 2 - 4 = 0. Is (4\/h - -26) + v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 840 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-14)*q**(-11))**(6\/17))**(-2\/15) assuming q is positive.\nAnswer: q**(20\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 148, 1.2, -2, 1\/3, 1\/4, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -16473 (base 13) in base 16?\nAnswer: -a611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 53 + 47 = 0. Let u(b) = -1197*b + 3. Let k(c) = 8380*c - 20. Let n(j) = f*u(j) + 3*k(j). Let r be n(2). Round r to the nearest one thousand.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {m: 2, p: 3, s: 8, u: 1, q: 1, x: 5}.\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1664, -2, 284, 2, 8 in decreasing order.\nAnswer: 1664, 284, 8, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 448 and 78736?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8 = 3*i, -5*w - 10*i + 5 = -5*i. Determine y, given that 7*y**2 - 100 - 14159*y + 88*y**2 + w*y**4 - 60*y**3 + 14219*y = 0.\nAnswer: -1, 1, 2, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of g**3\/3 + g**2\/2 - 6*g. Calculate s(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2695507 nanoseconds in microseconds?\nAnswer: 0.0002695507","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6460200 to the nearest 100000.\nAnswer: 6500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, -0.3, 3, -1\/3 in increasing order.\nAnswer: -16, -1\/3, -0.3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.12 + -0.29. Let z = -5.17 - d. Which is the second smallest value? (a) z (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1263 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6545 + -45?\nAnswer: 6500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 60\/(-16) - 3\/((-36)\/(-303))?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000070983 rounded to six dps?\nAnswer: -0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*a - 4*a**2 - 2*a - a**2 - 8*a**2 - 4*a**2 in the form u + q*a + l*a**2 and give q.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 5*q + 8 = 0, 228*v - 262*v = -5*q - 194 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*m**3 - 2*m - 82*m**3 + 40*m**3 - 28*m**2 - 68*m**2 in the form z + g*m + q*m**3 + l*m**2 and give l.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x and 2 u when four letters picked without replacement from fuxxxfxtxfuuuuuf.\nAnswer: 15\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3592*u**5 - 10341*u**5 - 6 + 6)*(-3 - 1 + 3).\nAnswer: 13933*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -4, -72532, -5, -1 in descending order.\nAnswer: 5, 0, -1, -4, -5, -72532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -14640880488 + -0.20453\nAnswer: -14640880488.20453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 52 (base 9) to base 16.\nAnswer: 2f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 7*p**2 + 3. Let s be b(7). Let d(i) = 4*i + 3*i**2 - 3 - 11 + 0 - 2*i**2. Let r be d(-6). Sort -3, r, s in descending order.\nAnswer: s, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9055 times 0.4?\nAnswer: 3622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -2a40d (base 16) to base 6\nAnswer: -3413125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173532728?\nAnswer: 2, 3, 6701, 7297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107898651 divided by 115647?\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -8*d**2 - 3*d**2 - 7*d**2 + 19*d**2. Let c(s) be the first derivative of -2*s**3 - 14. Determine c(r(a)).\nAnswer: -6*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = w - 8, 0 = w - 2*w - 2*c + 13. Suppose 5*s = -2*f + 4 + 16, 3*f - 4*s - 7 = 0. Suppose w*j = -4*i + 46, 5*i = f*j - 9 - 126. Is j a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/2)*m)**(-17\/6)\/(m\/((m**4\/m)\/m))**(16\/5) assuming m is positive.\nAnswer: m**(-21\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 3*h = -11, -m + 16 = -26*h + 28*h. Factor -2\/3*x**3 + m*x**2 + 0*x - 8\/3.\nAnswer: -2*(x - 2)**2*(x + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c - 12. Let n be a(-11). Suppose 7*p - 4*p - 6 = 0. Let d(j) = -j**3 + j**2 + 2. Let r(b) = 1. Let z(f) = p*r(f) - d(f). What is z(n)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*v**6 + 391404*v**3 + 33*v**2 + 109769*v.\nAnswer: -360*v**3 + 2348424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*v + 1156*x - 1155*x = -39, -3*x = -4*v + 202 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -132 = 20*u + 2*p, 6*u + 62 = -8*u + 18*u - 3*p for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.04 + 2.04. Let i = 3 - m. Let j = 516\/1265 + -2\/253. What is the nearest to j in 3, i, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/5 in 2, -0.1, -5, 3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 108523696?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.87 take away -0.013936?\nAnswer: 78.883936","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -168176 + 168202 = -2*q + c, 0 = -5*q + 4*c - 116 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -9*n**2 + 2*n + 4. What is l(-1)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61375*a*c - 30758*a wrt c.\nAnswer: 61375*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 56 + -57 - (1 + 2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tlt when three letters picked without replacement from tltttjjttttjjt?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-2))**(-2\/83))**(-1\/41))**(6\/25) assuming n is positive.\nAnswer: n**(-24\/85075)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11704, -48524, -109890, -195802, -306260, -441264?\n\"Answer: -12273*w**2 - w + 570","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1 = 4*h + 40*k - 39*k, 0 = -3*h + 3*k - 18 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 22881 is divided by 4974.\nAnswer: 2985","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -46663 (base 9) to base 15.\nAnswer: -9376","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 136 and 19890.\nAnswer: 79560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*m**2 + 6*m**2 + m**3 - 3*m**3 + m**2 in the form i*m**3 + k*m + j*m**2 + g and give j.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 72327337 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 c when two letters picked without replacement from suwcvvcwwccu?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 - 5*r + 2. Let c be i(-7). Let n = c - -17. Suppose f + n*v - 22 = 0, 5*v + 22 = f + 2*v. List the prime factors of f.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -199 + 200. Is h >= -2\/813?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 104 - 24. Let h be ((-75)\/2)\/((-8)\/j). Suppose 3*a = 7*g - 2*g + 375, 0 = -3*a - g + h. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -8206, -16413, -24620, -32827, -41034, -49241?\n\"Answer: -8207*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -36*q**2*t**2 - 7*q*t**2 - 2319*t**2 wrt q?\nAnswer: -72*q*t**2 - 7*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n = -3*n + 30. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.11 + 0.09. Let t be ((-2)\/1 - -3)\/2. Let i = 0.3 - 0.2. Which is the closest to i? (a) 5 (b) t (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3033195 is divided by 2534?\nAnswer: 2531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -v**2\/2 + 24086*v + 48173\/2 = 0.\nAnswer: -1, 48173","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 47327476?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3904 = -17*b + 992. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -4*f + 483. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1)\/((-6)\/9))\/(4\/8). Let z(d) = 4*d + 2. Give z(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) be the second derivative of -o**3\/6 + 4*o**2 + o. Let d be k(6). Suppose -s + 3*l - 13 = 0, 3*l - 5 = d*l. Solve -r = -2*r + s for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -256*v - 11406. What is s(-46)?\nAnswer: 370","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 41254 - -5\nAnswer: 41259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 - (1 - 16\/(-2)). Let q(u) = -4*u - 5. Let y be q(o). Suppose r = 5*m + y, 29 = 2*r + m - 0*m. What is the remainder when 29 is divided by r?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -6*o**2 - 121*o - 6. Let p(t) = -7*t**2 - 120*t - 8. Give 4*n(g) - 3*p(g).\nAnswer: -3*g**2 - 124*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*r - 5*r**2 + 2*r)*(2*r + 0 + 0 + (-2*r - 3*r + 4*r)*(-4 + 2 - 1) - 6*r + 0*r + 4*r) as l*r**3 + f*r**2 + x + t*r and give l.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -16*l**2 - l + 39. Let x(o) = 11*o**2 + 4*o - 39. Let s(u) = -3*x(u) - 2*z(u). Calculate s(-15).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 - 3*i - 4. Let r = -4 - -8. Let v be c(r). Solve 3*y + 9 = -4*p, 5 = -p - v*p + 2*y for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 79\/12 and -99\/3551242.\nAnswer: 21307452","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of 0*j**4 + 0*j**3 + 0*j - 9\/2*j**2 + 0*j**5 + 2 - 3\/2*j**6. Find the second derivative of l(z) wrt z.\nAnswer: -180*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 - 13*c - 9. Let w(y) = 11*y**2 - 26*y - 18. Let t(m) = -9*u(m) + 4*w(m). Let g be t(12). What is the highest common factor of g and 189?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 16 = 4*q, 4*f = 4*q - 7*q + 12. Let b(a) = -a**3 - a**2 + 9. Does 8 divide b(f)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 2 e when three letters picked without replacement from eeneeennneneeeee.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 9*(-1)\/(-2)*(-2 + 4). Suppose l*q - 169 = 8228. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -2*y**2 - 29*y - 12. Let w be k(-13). Find the third derivative of 11 + w*t**3 - 7*t**2 - 19*t**3 - 8*t**4 - 10*t - 11 wrt t.\nAnswer: -192*t + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -33553, -33548, -33539, -33526, -33509?\n\"Answer: 2*s**2 - s - 33554","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6046 = -2010*v + 2026 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -6*x**2. Let r(v) = 6*v**2 + v. Let w be (-14)\/6 + (-4)\/6. Let a(g) = w*r(g) - 4*s(g). Find the second derivative of a(d) wrt d.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -351410*b + 351431*b + 672 = 0 for b.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -44 - -64. Suppose 0 = -4*x + 4*r - u, -4*x + 4*r - 23 = 3*r. Let v = x + 3. Sort 0.3, 0, v.\nAnswer: v, 0, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m\/m**(1\/28))\/(m**8\/m) assuming m is positive.\nAnswer: m**(-169\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -3*b**2 + 5. Let f(o) be the first derivative of -o**4\/12 + o**2\/2 - 13*o - 9. Let a(p) be the first derivative of f(p). Give 5*a(y) - t(y).\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(4\/7))\/v*v**(-6)*v**1*v*v\/(v\/(v\/(v**2*v))))**(1\/8) assuming v is positive.\nAnswer: v**(-19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41313.\nAnswer: 3, 47, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = v - 27. Suppose -135 = -5*i + v. Let m(x) = x**3 - 7*x**2 - 31*x + 12. Let k be m(10). Calculate the greatest common divisor of i and k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1 and -0.83438312714134.\nAnswer: -1.83438312714134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y + 25 - 3. Let i = y - -36. Suppose 10 = 2*l, 2*v + 2*l + 6 - 20 = 0. Solve -o - v*o = -2*t + i, 3*o - 3*t = -30 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1224914*n**3*r**3 + 368*n**3*r**2 - 4*n*r**3 + 8436*n*r**2 wrt r.\nAnswer: -7349484*n**3 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**5 + 6*c**5 - c**5)*(-7 - 8 - 12) - 4*c**5 + 5*c**5 - 2*c**5 - 6*c**5 + 4*c**5 - c**5.\nAnswer: -31*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h + 12 = 2 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w**2 + 130*w + 288. What is the lowest common multiple of 45 and u(67)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28416 divided by -444?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) be the first derivative of 2*n**5\/5 + 2*n**4 + 4*n**3 + 4*n**2 + 2*n + 4. Factor c(t).\nAnswer: 2*(t + 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 10 = 4*n, 5 = f - n + 3. Solve -f*j + 15 = -5*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*q + 3*q + 2*q + 0 + 0 - 2*q + (5 - 1 - 2)*(-q + q - 2*q) + q + 2 - 2 - 2*q + 2*q - 2*q)*(-2*q + 0*q + 3*q) as a*q + y*q**2 + m and give y.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 44\/19, -1\/3, 4, -0.271?\nAnswer: -0.271","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(475) - (sqrt(475) + (sqrt(475) - (sqrt(475) + 3)) + 1)) + 5)**2 + -4*((3*(sqrt(475) + 4))**2 + -3).\nAnswer: -17655 - 1440*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13*l - 23 - 12 + 17112*l**2 - 17111*l**2 + 13*l - 27.\nAnswer: l**2 - 62","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 264 + -195. Calculate the remainder when w is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*a**2 + 36*a**2 - 93*a**2 + 23*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1233694 (base 15) to base 11.\nAnswer: -7419922","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/2 + 4\/(-8). Let s be 6\/(-15) + (-3)\/5 + 0. Which is the smallest value? (a) s (b) 0.1 (c) 8 (d) p\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 44781.\nAnswer: 3, 11, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + x = -32240, 42978 = 3*v + v + 3*x. Is -1 + v\/72 - 6\/(-8) a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -d + 4 - 6*d**3 + 6*d**3 + 2*d**3. Let q(s) = 3*s**3 - s + 5. Let r = 9 + -5. Give r*f(o) - 3*q(o).\nAnswer: -o**3 - o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-18)\/(-1 + -1 + 0). Let g = 19 - s. Do g and 11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**2 - 48003*g - 95994.\nAnswer: -3*(g + 2)*(g + 15999)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -6*l**2 - 12*l - 1. Determine p(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-205)\/123)\/(-2 - -1))\/(-1).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -5250203 + 50?\nAnswer: -5250123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 497662599?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 291 - 285. What is the greatest common factor of 216 and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 31 by -91.\nAnswer: -31\/91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 8416c1 - -a9?\nAnswer: 84179a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y. Let m(k) = 65577*k + 1. What is m(q(t))?\nAnswer: 65577*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.02, -2\/9, -0.2, 4\/735, -2\/13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1\/5 or -1532?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -452165.298 times 3\nAnswer: -1356495.894","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2869.\nAnswer: 19, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 42\/5 of a decade?\nAnswer: 84","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((10*q - 11*q + 22*q)*(1 + 0 - 2) + 0 + 0 - q + (2*q + 0*q + 0*q)*(5 + 0 - 3))*(1 - 1 + 3).\nAnswer: -54*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 169*u + 3009. What is p(-18)?\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(90) + (1*-2*sqrt(90) - sqrt(90)))\/(sqrt(10)\/sqrt(8)))\/((sqrt(9) - sqrt(9)*4)*4 + sqrt(900)*4).\nAnswer: -sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:41 AM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 150.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6131549 - -6131548.60000396. Let b = 25 + -24.6. Let l = o + b. Round l to 6 dps.\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**2 - 7*b - 6. Let z be p(-4). Suppose -z*f - 7 = 5. Let w = f + 4. Solve -n + 3*n + w = -2*c, -5*c - 13 = n for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -110. Let k be 41\/(-41)*2\/m. Solve 3*x = -2*h - 13, 2*h - 2*x - k = 1 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 - -11. Let u be (-2)\/z + 348\/68. Solve -g - 4*w + 3 = -u*w, -4*g - w - 13 = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4*b + 125. Give x(-20).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4572 and 248.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 + (-3 - (-185)\/35))*-1?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three fifths of a litre?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 75\/8 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 - 2\/((-160)\/(-4005)). Let i = h + 51. Which is smaller: i or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -10*m**3 + 6*m**2 - 13*m + 7. Let k = -4 + 2. Let b(n) = 4*n**3 - 2*n**3 + 2 - 7*n**3 - 4*n + 2*n**3 + 2*n**2. What is k*t(h) + 7*b(h)?\nAnswer: -h**3 + 2*h**2 - 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 60642?\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*h**2 + 24*h**2 + 39*h**2 + (-2 + 8 - 1)*(-h**2 - 4*h**2 + 3*h**2) + 4 - 4 + 3*h**2.\nAnswer: 52*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -1384.9, 2\/5 in decreasing order.\nAnswer: 2\/5, -0.07, -1384.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) -3\/4 (b) 1 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*r - 649*r - 181*r.\nAnswer: -995*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 102805480\/3 bigger than 34268494?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.04968 and -24.\nAnswer: 1.19232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 531186444 to the nearest integer?\nAnswer: 23047","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 142 divide 710?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 201385549?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 18\/((-27)\/(-3))*399\/(-42)\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, -6, -2, 2, -3 in ascending order.\nAnswer: -6, -3, -2, 2, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 - 837*x**3 - 9465*x**2 - 30375*x - 21750.\nAnswer: 3*(x - 290)*(x + 1)*(x + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 15 + 5 = 0. Suppose 0*y + q*y - 4 = 0. Let f = 1 - 0. Is y equal to f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-6)\/4*4\/(-3). Suppose -l = i + 8, -4*l - 36 = d*i - 8. Let n be (-2)\/6 - l\/18. Which is smaller: 2 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 121611 and 189.\nAnswer: 1094499","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**3 - 12*o**2 - 9*o + 105. Determine t(-10).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/8222 and -34\/3?\nAnswer: 24666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - x**2 + 3*x)*(-x**2 + 2*x**2 + 0*x**2)*(-10*x - x + 4*x) + (4 - x**4 - 4)*(5*x - 2*x - 2*x).\nAnswer: 6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3139 - -3177 - (0 + -36)) + (-2 - -1) + 4.\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 205610 is divided by 7615?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j - 4*i + 9 = 0, 0 = -3*j + 397946*i - 397929*i - 14 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = y**3 + 5*y**2 - 6*y. Let c be q(-6). Suppose 5*k + 10 = -c*k. Let w = 12 - 7. What is the nearest to 0 in w, k, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9108412 is divided by 13?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 + 76 = -j. Let f = -33 - j. Let o = f - 86. Calculate the remainder when 49 is divided by o.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(1 + 2*sqrt(9)\/sqrt(3) + sqrt(6)\/sqrt(2)*2 + (-2*(sqrt(3) + 0 + sqrt(3)) - sqrt(12)\/(sqrt(4) + sqrt(36))))**2.\nAnswer: -2*sqrt(3) + 19\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1\/2, -4, -331, 17814 in increasing order.\nAnswer: -331, -4, -1\/2, -0.4, 17814","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 353 minutes after 1:01 AM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3.33, 0.5, 3\/2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21733393 to the nearest integer?\nAnswer: 4662","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o - 2*o - 4*w - 88 = 0, 5*w - 20 = 0. Calculate the remainder when o is divided by 44.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3378 divide 513631656?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2387 - 4809 + 2422 + 3*o + o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 164083 is divided by 26.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*u - 4*u + 2*u - u + 3*u - 4*u + (-2 - 3 + 4)*(-3*u - 3*u + 5*u))*(-7*u**3 + 26*u**3 + 37*u**3).\nAnswer: 56*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 - 2 + 2)*(4 - 4 + 2*s**2) + 3*s**4 + 2*s**4 - 2*s**4 - 3*s**4 + 2*s**4 + 3*s**4.\nAnswer: s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 4, 59 in decreasing order.\nAnswer: 59, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/(-18))\/(1\/1)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 3*k - 3. Let j be q(2). Let z be 5 - (6\/1)\/j. What is the lowest common multiple of 6\/3 + z + 1 and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7 + (10 - 3) + (2 + (2 - 1) - 39).\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nggngggngggggggggggg. What is prob of picking 2 g and 1 n?\nAnswer: 34\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.655567l in millilitres?\nAnswer: 3655.567","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1103 - -1103.2. Which is the nearest to j? (a) -3 (b) 1\/4 (c) 62\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i**3 + 104*i**2 - 221*i + 93. Is l(49) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2822879825?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*x + 405181 - 1564657. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-49)\/14 - (135\/(-50) - 2)?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 231 minutes before 12:46 PM?\nAnswer: 8:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -g**2 + 3*g + 5. Let a be o(4). Let s be ((-2)\/3)\/(3\/(-9)). Let y be a - -2 - (s - 9). Solve 5*v + y = 35 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = b**2 - 7*b - 14. Let f be i(9). Suppose -m + 278 = 4*o, f*o - 3*m = -2*m + 282. Round o to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*u - 3*u - 5*u - 3*u - 124 to m + x*u and give m.\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Total of 574046 and -6235.273.\nAnswer: 567810.727","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 469 + -468. Let s(b) = -b**2 - b - 1. Let x(g) = -85*g**2 - 4*g - 10. Let p(q) = w*x(q) - 4*s(q). Find the first derivative of p(h) wrt h.\nAnswer: -162*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 829923 is divided by 11875.\nAnswer: 10548","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -i**4 + 17*i**2 + 74*i + 26307.\nAnswer: -4*i**3 + 34*i + 74","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t - t + 3*t)*(2 - 1 - 2)*(244*t - 244*t - 1 + 7*t**2).\nAnswer: 14*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 44, -8, -72, -154, -260, -396?\n\"Answer: -u**3 - 45*u + 90","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q. Let h(o) = 5068552*o + 6. What is g(h(y))?\nAnswer: 5068552*y + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(1\/23))\/(w\/(w\/w**(2\/25)*w)))\/(w**(-2\/9)*w\/w**8) assuming w is positive.\nAnswer: w**(47086\/5175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 157397 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -29.45?\nAnswer: -29.45","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -3 (b) 0.011 (c) 3 (d) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*x + 57*x**4 + x**2 + 68*x**4 - 2*x**3 - 124*x**4 - 3 + x**3 as i*x**4 + p*x**2 + n + q*x + d*x**3 and give p.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -o**3 - 7*o**3 - 3*o**3 - 19*o + 2*o**3 wrt o?\nAnswer: -54*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 389997?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111010100001011 + 11110?\nAnswer: -1111010011101101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14474 is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 51 + -13?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41144 - 411132?\nAnswer: -1002331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6105 + 6109. Solve -2*d - b*s = 4, -8*d - 2 = -7*d + s for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -2*m**2 - 56*m - 220. What is the smallest common multiple of a(-23) and 2765?\nAnswer: 5530","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k. Let j(y) be the second derivative of y**3\/2 - y**2 - 110*y. Let q = 6 + -10. Let m(h) = 39*h - 27. Let l(f) = q*m(f) + 54*j(f). What is l(u(p))?\nAnswer: 12*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3553145?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2.825926289663 + 199094.662070410337. Let v = j + -199077.488. Let c = v + -20. Round c to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 31768 and 200?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**3\/(w\/(w**1*w)))\/(w**(-3)\/(w*w**(7\/4)))*w*w**1\/w*w\/w**(-7)*w**(-3)*w**1 assuming w is positive.\nAnswer: w**(67\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1545?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c + 1 - 5 + 3. Determine v(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g. Let l(k) = k**2 + 2*k - 3. Let a be l(-4). Suppose a*b = -1 - 29. Let d(t) = -2*t**2 - 1 + 1 + 2 + 5*t. What is b*o(c) + d(c)?\nAnswer: -2*c**2 - c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 552 - 551. Sort t, -1, -2, 31 in descending order.\nAnswer: 31, t, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4 + 1. Let i be m\/(1 + (0 - 0)). Let n = 18 - i. Calculate the remainder when 37 is divided by n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 4 - 12 + 21*s + 9. Let p = 5 - -1. Is m(p) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmxxpnmnmxlpmpmtmm. Give prob of sequence nx.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-10) - 4183\/235. Let x be (2 - (-12)\/k)*(-27)\/(-6). Solve 0 = -x*p + p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 3, v: 4, o: 1, i: 1, z: 6, l: 5}. What is prob of picking 3 v and 1 y?\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 267182421?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -11*c - 68. Let x(z) = 13*z + 67. Let i(s) = 3*n(s) + 2*x(s). Let o be i(-10). Suppose 2 - 12 = -5*y. Solve o = -p + 3 + y for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 127*k - 19*k**2 - 127*k.\nAnswer: -19*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.93571496 to 2 dps.\nAnswer: 0.94","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -2, 0.1, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 1528 = -3*i + 2*k, -3*i = k - 1534. What is the remainder when i is divided by 27?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105\/(-135)*(132\/42)\/11.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12098 = 21*n + 18*n - 168878. What is the highest common factor of n and 270?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5*(-8)\/150)\/(180\/75).\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -3 + 8. Suppose 2*n - 55 = h*i, 3*i + 5 = -4*n - 2. Let v(x) = -x**3 - 8*x**2 + 4*x - 11. Does 17 divide v(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 91, 25, -41?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/10 - (-23)\/5. Let v(q) = q**3 - 32*q**2 - 31*q - 66. Let z be v(33). Solve l*n + 13 + 7 = z for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -161 (base 16) to base 5.\nAnswer: -2403","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) be the first derivative of 9*h**5\/5 + h - 11. What is the derivative of a(g) wrt g?\nAnswer: 36*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.03*-166614566.\nAnswer: 4998436.98","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 55710465*l**3 + 47791169*l**2.\nAnswer: 334262790","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 64.53562 minutes in nanoseconds?\nAnswer: 3872137200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + p = 17, -2*u = -2*p + 9 + 1. Let l be (u\/(-9) - 1)*-9. Suppose b - l*b = -25. Solve 0 = -m - b + 1, m + 4 = -4*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 893777?\nAnswer: 893777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t + 1 = 4*r + 9, -14 = 2*r + 5*t for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g*g\/g**3)\/(g\/(g*g\/(g\/g**(-2\/11))))*g\/g**2*g*g**(1\/4) assuming g is positive.\nAnswer: g**(-41\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 371 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 16 = -7*q. Suppose -3*k + q = -2*o, 2*k = 5*o - o. Factor 81*r + 63*r - 192 - 5*r**3 - 36*r**o + 8*r**3.\nAnswer: 3*(r - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.9 - 2. Suppose 0 = 5*f - 0*f - 20. Let i be 1*f*1\/2. Which is the biggest value? (a) i (b) n (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*t**3 - 18*t**2 + 45*t - 24.\nAnswer: -3*(t - 1)**2*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of z**3 + 1014*z**2 + 2*z + 1355658 wrt z.\nAnswer: 3*z**2 + 2028*z + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - ((-2 - -6) + 8).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 5*s = 6, 0 = 4*h + 3*s - 0*s - 8. Suppose 0 = 5*v + 2*l + 351, 3*v - h*l + 204 = -l. Let a = -55 - v. Is 14 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2215*v + 11079. Give n(-5).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 133130022 (base 4) in base 10?\nAnswer: 128778","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -4*p + 3*k - 4, 5*p + 14 = 3*k for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -88564 divided by -4?\nAnswer: 22141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 99697, 398764, 897209, 1595032, 2492233, 3588812, 4884769?\n\"Answer: 99689*a**2 + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -102a (base 11) to base 5\nAnswer: -20423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 2*n, 0 = g - 4*n - 6011. Suppose g = 5*r - 3504. What is the first derivative of -22*l**4 - r + 1902 + 54*l**4 wrt l?\nAnswer: 128*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 9*(1 - 5\/3). Let x(p) = -26*p + 7. Let h(j) = j - 1. Let k(o) = 4*h(o) + x(o). Does 28 divide k(c)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-3\/5))*o)\/((o\/o**0*o*o)\/o))\/((o\/o**(-2))\/(o**(2\/5)\/o*o*o)))\/((o**(-2\/3))**(-2\/9)\/(o\/o**4*o\/(o\/o**4))) assuming o is positive.\nAnswer: o**(-31\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 32, 75, 156, 287, 480, 747?\nAnswer: 1100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5 in 44, -0.5, -1\/1742, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -8794 (base 14) to base 7\nAnswer: -125244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*i**2 + 172*i**2 - 52*i**2.\nAnswer: 156*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 53055.\nAnswer: 3, 5, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -230405 from 0.006.\nAnswer: 230405.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/12 and (-4)\/1 + (-2538)\/(-288).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in -19, -12, 3, 1, 0.031, 0.11, 1\/2?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -97000 times -0.431\nAnswer: 41807","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -3 + -5.767988.\nAnswer: -8.767988","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 8*h - 3 + (-2 + 1 - 1)*(-2*h - 4*h + 3*h).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49 = -2*n + 17. Suppose -3*q + 234 + 231 = 0. What is the remainder when q is divided by n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -5*o - 19. Suppose 4*f + 4*g = 3*f + 1, 0 = 2*f + 2*g + 16. Let k be q(f). Calculate the highest common factor of 4 and k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 1 + 2)*(n + 4*n - 6*n) + (5*n - 3*n - 4*n)*(2 - 5 + 2) + 2*n - 6*n - 3*n.\nAnswer: -6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b - 8, -4*b = -3*s + 22 - 14. Suppose s = 4*c + w - 10, -3*w + 9 = -13*c + 18*c. Solve 2*m + 1 = -c*n + 3*m, 4*n - 8 = -m for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 + (7 - 28 - (-17 - -8)) + -6.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from mccmcm?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7434*i - 48 = -7450*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*v**3 + 11*v**3 + 0*v**3 - 5*v**3.\nAnswer: 11*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x - 135. Calculate l(41).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(-5 + -3 + sqrt(200)*1))**2.\nAnswer: -2560*sqrt(2) + 4224","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26 = 3*a - 22. Suppose -2*t - a = -2*b, 4 = -0*b + 4*b + 3*t. Solve -5*m - b*z - 4 = 0, 8*m - z - 1 = 3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1436*g - 3457 + 2888 = 1574*g + 7435 for g.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 445*j**2 - 740?\nAnswer: 890*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -u**2 - 3*u**2 + u**2 + (-u**2 + u**2 - 4*u**2)*(0 + 1 - 2) - 6 + 9*u**2 + 6 + (3*u + u - 6*u)*(-7*u - 3*u + 4*u).\nAnswer: 22*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in seven sixteenths of a kilometer?\nAnswer: 43750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 8*x - 15. Let k be p(-10). What are the prime factors of (18\/5)\/((-7)\/k)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -10*h. Let v(t) = -2*t - 1. Let p(b) = 11*b + 7. Suppose -12*s + 9*s = -x + 17, 2*s = -5*x. Let g(z) = x*p(z) + 14*v(z). Give g(w(l)).\nAnswer: 60*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -8545.9 to the nearest one hundred.\nAnswer: -8500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -191030000 rounded to the nearest one million?\nAnswer: -191000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f + 2*a - 12 = 0, 5*f + 3*a - 2 = 14. Let y be 70\/15 + f\/(-3). Let o be (-21)\/(-14)*y\/(-15). Do 3 and o have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 4*r + 2. Let j be w(5). Let h = j - -14. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a = -5*s + 21, 3*s - 2*a = -a + 7 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -557 and 52.82965378?\nAnswer: 609.82965378","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m**2 + 3*m**2 + m**2)*(4 - 1 - 4) - 3*m**2 + 5*m**2 - 5*m**2.\nAnswer: -10*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 48011 and 5776543?\nAnswer: 1171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*b**3 - 2*b**3 + b**3 - 21*b**3 + 26*b**3 - 41*b**3 + (-2 - 2*b + 2)*(0 - 2*b**2 + 0) + 2*b**3 - b**3 + b**3 + 0*b**3 + b**3 - 3*b**3.\nAnswer: -33*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of i**3 + 3*i**2\/2 + 2*i + 9. What is o(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7066899 and 1188?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = 12*m - 17*m + 2*l, 0 = 4*l - 20. What is the greatest common divisor of m and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2*x - 16. Let w be l(-9). What is the first derivative of 9 - r**2 + r**2 + 11*r**w + 2 wrt r?\nAnswer: 22*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 177.8 + -5.\nAnswer: 172.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 392809, 392815, 392825, 392839?\nAnswer: 392857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -443, -410, -377?\nAnswer: -344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -5*r**2 + 108*r - 364. What is b(16)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 72299 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 91, 517, 1213, 2173, 3391, 4861, 6577, 8533?\n\"Answer: -i**3 + 141*i**2 + 10*i - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 194 minutes before 3:53 PM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -324358 or 2\/3?\nAnswer: -324358","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 80*j**3*x**2 - 12*j**3*x - 1351597*j**3 + 232720*j**2*x**2 - 3*j**2*x + 2*x wrt x.\nAnswer: 160*j**3 + 465440*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 5274, 10559, 15868, 21213, 26606?\n\"Answer: 2*l**3 + 5271*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 20*b + 9. Does 16 divide j(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65271?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 1\/8, -2, 745, 1, 0.2, -5, 1\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, q: 8, l: 6, y: 1, f: 1}. What is prob of picking 1 n, 1 q, 1 f, and 1 y?\nAnswer: 2\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 0 - 2 + 3 + 0*t + t. Determine m(-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from muogg. What is prob of picking 2 m?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 364 + 104. Suppose 0 = -5*h - 2445 + 2465. Suppose -h*a - d = -x, -315 = -3*a + 2*d + 47. What is the units digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7384?\nAnswer: 2, 13, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4465536 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 71215 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 277 or -115?\nAnswer: -115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 36848 + 40215. Is 139 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r - 3*r - 2*r**2)*(3*r**3 + 3*r**3 - 3*r**3) + (-3 + 1 + 3)*(0*r**4 + 0*r**4 - r**5).\nAnswer: -7*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.223943t in grams?\nAnswer: 7223943","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (-9*(-546)\/(-567))\/(-3*2\/18)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -4*q + 19. What is b(-8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.337723 and 0.02?\nAnswer: -0.02675446","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (68 + 19 - 23 + 77)*(-2*o**5 + 5*o**5 + 0*o**5).\nAnswer: 423*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 29 + -24. Let o = 4 + b. Let v be 2*(-8 + (-96)\/(-18)) + 6. Is o bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1090133 divided by 1\nAnswer: -1090133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 239.8253 days?\nAnswer: 5755.8072","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1667.7123 and -0.18?\nAnswer: -300.188214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/9 in -84, 1\/5, 4?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 - 99 = -8*x. What is the highest common divisor of 36 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54851*p - 9*p**2 + 4*p**3 + 54844*p + 6*p**2 + 3 to n + y*p + t*p**3 + s*p**2 and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 9 - 7. Which is the second biggest value? (a) -4\/9 (b) -8 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m*m*(m*m\/(m\/(m\/(m*m\/((m*m**(-9\/2))\/m)))))\/m)\/m*m))\/m)\/m**20 assuming m is positive.\nAnswer: m**(-33\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1505 and 70.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 48402916 by 12100729.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:48 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1304288.\nAnswer: 2, 40759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.032290944 rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 11*i**2 - 8*i + 18. Let k(v) = -4 + 0*v**2 + 4*v - 5*v**2 - 5. Let u(r) = 13*k(r) + 6*x(r). Suppose -3*n = -5*n + 5*q + 6, -n - 11 = q. What is u(n)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -185 (base 16) to base 14\nAnswer: -1db","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -12 (base 5) to base 14\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 23.223512 and 9?\nAnswer: 14.223512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.15, -2\/21, 3, -4?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 23218 + -16251. What is the thousands digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h and 1 n when four letters picked without replacement from hhnhnh?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kkrr. Give prob of picking 2 k and 2 r.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 10 + 10 = 4*q, -2*y = 4*q + 8. Which is the biggest value? (a) 3\/4 (b) 0.5 (c) q (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/(-84)*(2 + 13 + -11)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v**2 - 5*v - 9. Let c be n(-9). What is the tens digit of 36\/c + (-1976)\/(-22)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4*f + 26 = -5*n, -5*n + 3*f + 2 = 0. Let r be n\/7 + 14\/49. Solve r = v + 4 - 3 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j**2 + 2*j. Let k(s) = -5*s**2 - 6*s. Suppose q - 3*q - 5*h + 1 = 0, 5*q = -2*h + 13. Let y(x) = q*w(x) + k(x). Let m(r) = 65*r**2. Give y(m(p)).\nAnswer: -8450*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11.072*-0.99.\nAnswer: 10.96128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jl when two letters picked without replacement from lvlvvljvllv.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -443983 times 0.17?\nAnswer: -75477.11","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 2*f + 6, 4*g - 1 = 5*f + 11. Suppose 0 = -5*h + 8 + 12. Let z = 4 - h. Sort z, g, -1 in ascending order.\nAnswer: -1, z, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -87177559, -87177558, -87177557?\nAnswer: -87177556","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10111110 (base 2) to base 13.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 170733.6*1\nAnswer: 170733.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**(5\/4))\/z**(2\/35))\/(z**(7\/8)\/z*z**(-1\/22)) assuming z is positive.\nAnswer: z**(-421\/3080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 4368?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 343\/26 + 108\/13. Let l = 20 - d. Let t(i) = i**3 - 5*i**2 + 6*i - 1. Let x be t(3). Which is smaller: x or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-9)*c**(-4) assuming c is positive.\nAnswer: c**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*z + 22*z + 3*z as n + f*z and give f.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 3, -2*m + 7*m - 2*i - 408 = 0. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/10)\/((-23)\/(-115))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*x - 85 = 439 - 34 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 76659?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 13 = 14. Let l(b) = -6*b**2 - 2*b - 1. Determine l(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*b - 0*b. Let g = 0 + b. Suppose -21 = -g*x - 0. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1558 + -736. Let w = t - 379. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 13222 - 8806. What is the smallest common multiple of 3864 and c?\nAnswer: 30912","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14718 is divided by 154?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16298 and 14906.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -35*j - 1. Let w be x(-3). Let t be (-8)\/64 + (-25)\/(-8). Suppose -c - c - 8 = 0, 3*u + t*c - 27 = 0. Calculate the highest common factor of u and w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = -39*a + 28*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 2*o**2 + 13*o + 14. Calculate the remainder when t(-6) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + 6 - (5 + -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 l, and 1 m when three letters picked without replacement from {x: 2, l: 2, m: 1, y: 1, w: 1}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*u - 6455 = 129225. Is u a multiple of 212?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l**(-1\/5)*l*(l\/l**(-2\/5))\/l*l**3\/l**(-9)*((l*l**(1\/3))\/l)**(-1\/2)\/((l**(1\/2)*l)\/(l**(-2\/11)*l)) assuming l is positive.\nAnswer: l**(2038\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-3)\/6*(-1 - 19). Let b(i) = -u*i + 5*i + 6*i. Let h(s) = -27*s**2 - 5*s + 5. Let t(c) = -11*c**2 - 2*c + 2. Let z(n) = 2*h(n) - 5*t(n). Give b(z(q)).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1597 - 1693 - 12*q + 4766 - 1889 to t + m*q and give m.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 2080?\nAnswer: 2085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 8415845 to the power of 1\/2, to the nearest integer?\nAnswer: 2901","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -49.37 + -8.83. Let k = v + 57.2. Put 23, k, -5 in descending order.\nAnswer: 23, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ggrhrgghguergh. Give prob of sequence gu.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -700 - -699. Which is the third biggest value? (a) 7\/4 (b) q (c) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -75\/4 (b) -29077 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 28. Calculate the remainder when i is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2604 and 3202626.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -409101 - 7*a + 3*a + 409101.\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 335 a factor of 7743190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 30 = s + 4*s, 5*s = -10. Solve 4*o - q = 3 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 545 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*y - 1. Let p be 10*(-2 - (-7)\/y). Suppose -6*k - p = -9*k. What is the biggest value in -6, -5, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 44. Let m(c) = 2*c - 44. Let o(z) = -6*b(z) - 5*m(z). Let j be o(-11). Solve 8*d - 4*d = j for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (4\/10)\/((-2)\/(-10)). Let g be (4\/(-6))\/((-10)\/(-60)). Let h be 22\/12 + (-2)\/4. Put h, p, g in ascending order.\nAnswer: g, h, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -5 - -10 - 15.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1b1 (base 16) to base 9\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 300 divided by -300\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**22*u*u))**(-5\/2)*u*u**25*u*(u*u**(-2\/9))\/u*u assuming u is positive.\nAnswer: u**(790\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -210852 = -4*k + 4*n, 2*k = 4*n - 0*n + 105418. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 47.67036 nanoseconds to minutes.\nAnswer: 0.000000000794506","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -155*r + 154*r - 32678. Let d = r + 9578. Round d to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g**4\/11 + 267320*g**3\/11 + 850734*g**2 + 77008968*g\/11 - 86634360\/11 = 0 for g.\nAnswer: -18, 1, 133695","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -2*o - 4. Let y be b(-3). Find the second derivative of -28*p - 2*p - 7*p**5 - y*p**5 + 3*p**5 wrt p.\nAnswer: -120*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -97929*h**3*k**2 + 5*h**2*k**2 - 2231784*k**2 wrt h?\nAnswer: -293787*h**2*k**2 + 10*h*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = 117*u**2 + 27*u - 10. Let p(f) = -119*f**2 - 27*f + 9. Let o(h) = 6*b(h) + 7*p(h). Find the second derivative of o(j) wrt j.\nAnswer: -262","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:56 PM and 7:26 PM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v - 8*v + 1612 = -10*v. Is v even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -14 - -1a51?\nAnswer: 1a39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 40 = -2*c, -4*r - 45 + 5 = -4*c. Suppose 0*h - c*h = 75. Let t(g) = -2*g**2 - 6*g + 6. Calculate t(h).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a - 2*a + 0*a)*(14 - 14 + 29*a).\nAnswer: 29*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (i + 3*i - 5*i)*(2 - 5 + 1)*(-470 - 245 + 551)*(1 - 1 + 4) in the form q*i + o and give q.\nAnswer: -1312","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 - 3*r - 3. Let k be b(6). Let z = -54 - k. Find w such that -5*w**2 - 5*w**z + 23 + 21*w - w - 3 = 0.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a. Let t(i) = -30*i + 3. Determine -2*s(d) + t(d).\nAnswer: -26*d + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l**2 - 2*l - 11. Suppose 21*y - 16 = 17*y. Let v be p(y). Does 20 divide v\/(9\/(-480)) - -4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 7*a - 42*x + 215 = -49*x, -a = x + 30 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 13 + 47 = 4*b, -4545*b + 5*n - 50 = -4548*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = a**2 - 3*a - 39. Let h be y(-5). Which is greater: h or -3\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-4)\/4)\/(1\/2). Let n be 76\/18 - l\/(-9). What is the derivative of 0*g**4 + 5*g**n - 3*g**4 + 2 wrt g?\nAnswer: 8*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -249*d - 22 = -260*d. Solve -j = 5*z + 6, -12 = 20*j - 24*j - d*z for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 562 + -565. Put m, 4, -7 in increasing order.\nAnswer: -7, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:20 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 488504\/13 or -0.3?\nAnswer: 488504\/13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-1)\/2)\/((-4)\/576). Let y be 16\/t - 68\/(-18). Suppose 88 = 3*q + 5*k, -y*k = 3*q - q - 62. Is q a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9694.882 hours to milliseconds.\nAnswer: 34901575200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 6*o = o + 40, 2*u = 2*o + 4. Let c be (u + 1)\/(2\/7). Does 14 divide c\/(2 - (-10)\/(-8))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 37\/5 of a litre?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1 and 4055534.\nAnswer: 4055534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: ((-30)\/(-35))\/((-48)\/(-448))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 938659 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhv when three letters picked without replacement from {z: 4, v: 1, h: 4, c: 2}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.2, -2, 3\/28 in ascending order.\nAnswer: -2, -1.2, 3\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.048759045 rounded to 0 dps?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) be the first derivative of 1\/48*q**4 + 1 - 3*q + 1\/3*q**3 + 2*q**2. Let a(t) be the first derivative of v(t). Factor a(l).\nAnswer: (l + 4)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 5*n**2 - 11*n - 1. Let l(v) = -v**2 + v. Let o(q) = -4*l(q) - m(q). Let f = 5 - 0. Is o(f) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**2 + 6*f + 6. Let y(s) = -s**2 - 5*s - 5. Let h(i) = -5*q(i) - 6*y(i). Let l(w) = 6*w**2 - 2. Give l(h(j)).\nAnswer: 6*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.488 in -5, 1\/3, -0.1, -4\/7, -20?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(0 + (sqrt(17) - (sqrt(17) + 2))).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29693 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**2 - 26*w - 134. Calculate a(30).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 183\/(-60)*(-955)\/(-382)*-8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 2*n**2 - 5*n - 3. Let d be i(-3). Let b be (1\/(-3))\/(9\/(-351)). What is the derivative of d*g + b - 6 - 1 wrt g?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2477246 divided by 20?\nAnswer: 1238623\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*24\/(-4))\/7?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and -8.6558964943.\nAnswer: -3.6558964943","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -4*x - 101. Let q be d(-24). What is the smallest value in 2, -4\/9, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 7*n + 1. Let u(w) = 8*w + 1. Let o(s) = 2*u(s) - 3*y(s). Let k be o(-1). Suppose 2*p - k*p + 4 = 0. What is the remainder when 4 is divided by p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -191627, -383236, -574845, -766454?\nAnswer: -958063","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -415 = 29*m + 205 - 156 for m.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = t - 2*r - 4, 0 = 4*t - 2*r - 26. Suppose 4*j + j = 775. Suppose -2*v - j = -t*v. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mppmnmpmmp. What is prob of picking 2 m and 1 n?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -821*j**2*w**3 + 2*j**2*w**2 + 67*j**2 - 12176*j*w**3 - 8*j*w**2 + j*w - w**2 + 31*w wrt w.\nAnswer: -4926*j**2 - 73056*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -755731, -1511461, -2267189, -3022915, -3778639, -4534361?\nAnswer: -5290081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 3*m - 4. Let z be v(3). Suppose 5*w + 60 = -z*g, g + g = 2*w - 16. Let f be g\/4*14\/(-5). Is 7 < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 30044 and 37?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 66 + -9. What are the prime factors of i?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3\/28? (a) -1 (b) -3 (c) 1 (d) -2 (e) -238\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10904, 44395, 100464, 179111, 280336?\nAnswer: 404139","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.185964433 rounded to five decimal places?\nAnswer: 0.18596","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 12 = -5*q, q - 3*h - 2 = 7. Solve 6*y - 2*g = 2*y - 2, q = -3*y - 4*g - 7 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10\/3 - -73\/21. What is the biggest value in -0.3, 2, s, 0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4\/3*x**2 + 4\/3*x + 8\/3 = 0. Calculate x.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + 0 - (6 - -1 - 11).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 6, 1, 21\/80, -44?\nAnswer: -44","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*f + 9*f + 2*f**2 + 16 - 11 to m + r*f**2 + i*f and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21619?\nAnswer: 13, 1663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 56.92346685 to three decimal places.\nAnswer: 56.923","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -28 + 53. Differentiate -16 + 15 - h - 9*y wrt y.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ij when two letters picked without replacement from iiujuuiiiujjujiuu?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 581*j - 9656. Calculate y(18).\nAnswer: 802","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a = d + 2 + 5, -2829*d = 3*a - 2832*d - 15 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -18*k + 11*k + 2*k**3 - 15*k + 17*k + 2*k**2 to p*k**2 + g*k + z*k**3 + v and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in three eighths of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Let d(y) = 2*y - 3. Suppose u + 7 = -0. Let q(k) = -4*k + 7. Let b(s) = u*d(s) - 3*q(s). What is l(b(n))?\nAnswer: -12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 2*r - 5. Let o be w(4). Let q(c) = c**2 - c - 3. Let b be q(o). Let p(k) = 3 + 0*k**2 + b*k**2 + 2*k - 4*k**2. Determine p(5).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 42355 is divided by 5717.\nAnswer: 2336","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 - -33. Suppose -22 = k - 3*d - 9, z = k + 3*d. Solve -2*q = 8, -q + 2 = -k*n - 3*q for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*n + b - 29081 - 21689, 4*n = -2*b + 50764. What is the highest common divisor of n and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -950 + 54152\/57. Which is the second biggest value? (a) i (b) -2 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474\/12*(-2 + 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000131340328 to 6 dps.\nAnswer: -0.000013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**3 + 199*p**2 + 354*p - 10861. Give c(33).\nAnswer: 1910","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/2, -1\/10, -6 in increasing order.\nAnswer: -6, -1\/10, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 - 2. Calculate the common denominator of (-17)\/11 + 1 + 0 and (57\/o)\/((-2)\/(-6)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*r - 0*n + 13, 0 = -4*r + 2*n + 10 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 - 19*t**2 - 71*t - 10. Let s be i(-14). Suppose -3*v + 12 + 45 = 0. Solve v = 5*o + s for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 2 - 6a968697?\nAnswer: -6a968695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12274 is divided by 51.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*r - 75143 = -36272 - 36603 for r.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the second derivative of -q**4\/12 - 5*q**3 - 22*q**2 + 67*q. What is the remainder when 59 is divided by s(-28)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2359?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 7*j + 225. Let o be c(-31). Which is greater: 5 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -16*v**3 + 12*v**2 - 10*v + 7. Let x(r) = -30*r**3 + 26*r**2 - 22*r + 14. Let g(i) = -13*u(i) + 6*x(i). What are the prime factors of g(4)?\nAnswer: 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15299 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 144067, 288144, 432221, 576298, 720375, 864452?\n\"Answer: 144077*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2508179 (base 10) to base 9.\nAnswer: -4642515","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 24 = t. Let r(l) = -l**3 - 4*l**2 - l + 5. What is the least common multiple of t and r(-4)?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5477627 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 0.4, 2\/13, 10?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 7) + -2 + 5. Suppose -2*w - 8 = -g*w, -p - 28 = -4*w. Let l be (p\/28)\/(6\/21). Is -2 at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 33022 is divided by 1214?\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-96)\/144*(14\/(-8) - -1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 10 = 2*f, 5*r = -5*f + 6 - 31 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*i**2 - 45*i - 90.\nAnswer: -5*(i + 3)*(i + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 1 (c) -8 (d) 0.5 (e) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 155660019 and 155660014 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z**2 + z + 1. Let d = 8 - 6. Let b(w) = 4*w + 6 + 7*w**d + 4*w - w - 3*w. Calculate -b(q) + 5*h(q).\nAnswer: -2*q**2 + q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11 - -11001011110111100?\nAnswer: 11001011110111111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of -63 and 0.4.\nAnswer: -25.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 2, 45.4 in ascending order.\nAnswer: 0.3, 2, 45.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 57914 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1379612119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -3*z - 18. Let f be v(-6). Suppose -2 = -u - f. Let l be -1*u*4\/(-8). Which is the biggest value? (a) l (b) 1\/3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -278*q**2 - 43 + 2*q + 673*q**2 + 230*q**2 wrt q.\nAnswer: 1250","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i + 2 = 4*i. Let w = -23 - -32. Let h = w + i. What are the prime factors of h?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 3*k + 4. Let h be p(-6). Let x = h + 22. Let s(g) = -g**2 - 19*g - 2. Let r be s(-9). What is the greatest common divisor of r and x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 182736105?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**3 - 5*l**2 + 5*l - 5. Let k be i(-5). Let c = 74 + k. What is the greatest common factor of c and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 9 = -0*p. Suppose p + 1 = -i. Let h = -3.6 - -3.6. Which is the second biggest value? (a) -3\/7 (b) i (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(3 + 20 - 3)*(0 + 5 - 2)*(4 - 2*c - 4)*(-c**3 - 2*c**3 + 0*c**3) + (1 - 1 - 1)*(-2*c**4 + 0*c**4 + 0*c**4).\nAnswer: -1078*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1968428537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(66)\/sqrt(11)*-3*-6)\/(sqrt(1200) - 2*sqrt(108)).\nAnswer: 9*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*l**2 - 4*l**2 + l**2)*(-4*l + 0*l + 2*l) + (-4*l**2 + 5*l**2 + l**2)*(-4 + 3*l + 4) to the form i + u*l + c*l**2 + w*l**3 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138533?\nAnswer: 401, 5333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u\/(u*u**(1\/2)*u*u)))**(-4\/11)*(u**(-1\/2))**(-7\/3))\/(u**(2\/21)\/((u\/(u*u**(-11)*u))\/u))**(-27) assuming u is positive.\nAnswer: u**(-111127\/462)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1412947?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5482 minus -1311?\nAnswer: 1310.4518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.042 - -7.858. Let g = d - 8. Let f = -33 - -32. What is the closest to f in -0.5, -0.4, g?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3\/7)\/((z*z**1)\/z))\/(z\/(z\/z**(-1\/13))*z**(1\/9)\/z)*((z\/(z*z\/(z*((z*z*(z*z*z*z*z**9)\/z)\/z)\/z))*z)\/z**(2\/11))**(-35) assuming z is positive.\nAnswer: z**(-4045934\/9009)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 26804612473 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -109\/160 and (-9 - (-156)\/18)\/(4\/124).\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(0 + (-6)\/14). Let t = r + 0. Let o be t + -6*(-3)\/(-6). Solve j + 2 = o for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1052001888 divided by 8.\nAnswer: -131500236","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3246, -4521, -3826, -1161, 3474?\nAnswer: 10079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.105903 times 0.001\nAnswer: 0.000105903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 + 4. Suppose 53 = c + c - r, 0 = a*c - 4*r - 67. What are the prime factors of c?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 525 minutes before 9:49 AM?\nAnswer: 1:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 8, x: 1, q: 8, p: 1}. What is prob of picking 2 q and 1 o?\nAnswer: 14\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 PM and 2:27 AM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in three tenths of a day?\nAnswer: 25920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 321 and 234?\nAnswer: 25038","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9.755 - -18.755. What is the closest to t in -0.4, 4\/5, -2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owon when four letters picked without replacement from {u: 3, n: 3, w: 3, o: 4, l: 2, s: 1}.\nAnswer: 9\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*i + 72 = 18*i. Are i and 8 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16 and 5328?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 4*z**2 + 4 - 8)*(3*z**3 - 3*z**2 + 3*z**2) + 0*z**5 + 8*z**5 + 0*z**5.\nAnswer: 20*z**5 - 6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74575472 is divided by 182783.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3395 - -6140. Let c be 2727\/u + (-2 - -1). Which is smaller: c or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/909 and -79\/6.\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-4) - (-7)\/2. Let q(n) = -2*n - 12. Let h be q(-4). Let b = h + s. Solve b*w = -2*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 3148 and 1\/4 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*z**4 - 6*z**3 - 3*z**4 - 6*z**3 + 58 - z - 59 to the form b + v*z**2 + m*z + j*z**3 + g*z**4 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mb when two letters picked without replacement from mmmmllmbll.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 - -4)\/(4\/545036). Let u be (x\/6 - 3)\/((-2)\/960). What is u rounded to the nearest one million?\nAnswer: -22000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 149 + -144. Solve t - 1 = x, 4 + 1 = s*x for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + w = b - 433, 0 = 5*b + 5*w - 715. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 77\/568 - 3\/284. Which is the closest to -0.2? (a) 2 (b) -0.4 (c) x (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 121.8 * 10.\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(675)*-3)\/(sqrt(1089) + -2*sqrt(1089)).\nAnswer: 15*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 2751 (c) -1409\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 2*i. Let n(g) = 28*g**2 - 2*g. Calculate x(n(u)).\nAnswer: 56*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 105, 236, 367?\n\"Answer: 131*o - 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l**2 + 2277*l - 2277*l.\nAnswer: 3*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 21195 and 2361555.\nAnswer: 370764135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 528.1837 meters?\nAnswer: 0.5281837","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 53 = -1. Calculate the greatest common factor of o and 639.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(336\/(-35)))\/(10\/4)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3*(2\/(-7))\/(199071\/4599)\nAnswer: -2\/101","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7398 - 7405)*(-1)\/(-3).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(405\/945*(-14)\/(-4)*1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 4*b + 17 = 0, -39 = 13*n + 2*b - 36 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -8 - -14 - (-2 - -5). Let f = 8 + -4. Suppose 0*a + f*a - 4*s = 44, 0 = -5*a - o*s + 15. 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: Let u be (1 - (-9)\/(-5))\/((-1)\/10). Suppose 0 = u*o - 2*o - 48. Let j be 2 - (o\/44 - (-91)\/44). Put 0, j, 3 in decreasing order.\nAnswer: 3, 0, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37491836?\nAnswer: 2, 881, 10639","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.2 (b) -934 (c) 2\/5 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (4*sqrt(99)*-2*-6)\/(sqrt(1089) - (sqrt(1089) - (sqrt(1089) - (sqrt(1089) + 4*4*sqrt(1089)))))*1.\nAnswer: -3 - 3*sqrt(11)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i - 25 = 4*r, r + 998 = -3*i + 1003 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 4*r, m + 2*r = 5*m + 14. Let g = m + 8. Calculate the highest common divisor of 20 and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:11 PM and 9:36 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 2*r**3\/13 + 28326024*r**2\/13 + 7715032779234*r - 200590965564196\/13 = 0.\nAnswer: -7081507, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ii when two letters picked without replacement from {i: 14, c: 1}?\nAnswer: 13\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -267*q - 52. Let u(x) = -343*x - 69. Let p(m) = 7*u(m) - 9*y(m). Let t(o) = -o. Determine -p(l) - 3*t(l).\nAnswer: l + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4397.5*13149.\nAnswer: 57822727.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 50\/70 - 2\/(-7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*h - 13247 = -3*f - 32*h, 0 = 5*f - 4*h - 22101. What are the prime factors of f?\nAnswer: 7, 631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (186*v - 481*v + 192*v)*(-46*v**3 - 29*v**3 + 39*v**3) as o*v**4 + z*v**3 + y*v + c + u*v**2 and give o.\nAnswer: 3708","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16 + -8. Is -1 at least as big as o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 13. Let r = 51 - -70. 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: Convert 13533021 (base 6) to base 15.\nAnswer: 9243d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w**(1\/6)\/w)\/w**(-12))\/(w**12*w**(-22)) assuming w is positive.\nAnswer: w**(127\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 + -35. What is the nearest to 0 in w, 11, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 151\/7272 and -139\/7272.\nAnswer: 7272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25256070 - 580677828\/23. Let u = 9210 - b. What is the common denominator of -16\/3 and u?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-174)\/(-87))\/(9\/45)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -641 + -10?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 270826719.\nAnswer: 3, 90275573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 16 + 2. Let a be 2 - (-1 + 3 + -2). Solve o - w = -a*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 76\/210*-3 + (-12)\/(-42)\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*m + 8. Let u be (-1)\/(m + (-10)\/(-6)). Let n(s) = -2*s - 1. Let x(y) = -2*y - 1. Let q(z) = -3*n(z) + 2*x(z). Determine q(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7, -2\/11, 66\/5?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -23130243 (base 5) in base 9?\nAnswer: -346531","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -12*w**2. Let d(f) = 12*f**2 + 4*f. Determine d(u(m)).\nAnswer: 1728*m**4 - 48*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l**3\/6 + l**2 + 1083*l\/2 + 3233\/3 = 0. Calculate l.\nAnswer: -53, -2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of -q**5\/30 - q**4\/12 - q**3\/3 + q**2 + 26*q - 55. Let r(t) be the second derivative of p(t). Determine r(-2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(12) - (sqrt(192) + 1*sqrt(192))) + -1.\nAnswer: -14*sqrt(3) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*a**3 + 5*a**3 + 12*a - 23*a**3 wrt a.\nAnswer: -204*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 91029?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -775.052 + 780. Let h = -1.548 + 1.6. Let q = h + g. What is the second smallest value in -2, q, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 32878?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 4, r: 2}. Give prob of picking 2 y and 2 r.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1133, -2245, -3357, -4469, -5581?\nAnswer: -6693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 25663.8 - 25664. Put -3, -0.4, 2\/7, 9, h in descending order.\nAnswer: 9, 2\/7, h, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3\/5, 1, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -207\/2 - -106. Let v = 7189 - 7189. What is the nearest to v in -2\/9, 3, 9, g?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**2 - 2*b - 5. Let p be w(-7). Let y = p + -56. Is y\/(-1 - 0) + 147 + 5 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (-13 + 2) - (-271 + 282 + -1 + -11)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -255 divided by 15?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.085615 and -51360537.1.\nAnswer: -51360537.014385","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that -2*v**4\/7 + 1798*v**3\/7 - 408558*v**2\/7 + 1998090*v\/7 = 0.\nAnswer: 0, 5, 447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, -6, -49, -110, -189, -286, -401?\nAnswer: -534","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7.7 + 8. Let o = 161 - 164. Which is the nearest to 1? (a) 0 (b) f (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10026*g**4 - 2*g + 863 wrt g?\nAnswer: -120312*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 32.7 - 32.5. What is the nearest to -2 in -2, f, 2\/9?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 176474893 a multiple of 5542?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 237 + 833 = -2*m, -a + 2*m + 531 = 0. Let l = a - 530. Solve -w + l = -4*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 1 m when two letters picked without replacement from vmnnvjmjgvjvwmmnvnwj.\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 3*c + 19 = b, 5*b + c = 21. Suppose 0 = b*f - f - 12. Is f not equal to 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 638707 equal to 638709?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*c**5 - 2*c**5 - 2*c**5 + (6*c**4 - 4*c**4 + 2*c**4)*(-2*c - 2 + 3*c + 1).\nAnswer: 3*c**5 - 4*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4)*(-1 - 5). Suppose -19*w + 50 = -140. Suppose -m*t = 4*y - 101, -t + 3*y + w = -28. What are the prime factors of t?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -204 + 202 + 2*z - z + z + 4*z**2 to the form y*z**2 + o*z + i and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4363\/6 + 729. Find the common denominator of 25\/2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 120 - 120.000142. What is f rounded to 5 decimal places?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -442444 (base 5) to base 12\nAnswer: -8a92","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-5 + (-5 + (5 + -5*(2 + (sqrt(832) - -1*sqrt(832))))*1)**2).\nAnswer: 9600*sqrt(13) + 499770","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 77*f + 829. Determine k(-10).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (48\/32)\/(1\/2). Let k(l) = -l + 4. Determine k(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f when two letters picked without replacement from {f: 4}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*j = 4 - 302, 5*j - 20 = 0. Suppose 58 = a + 3*x, a - x - u = -0*x. What is the tens digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -1 + (-564 - -544).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -3*j**3 + 1140*j**2\/7 + 2028*j\/7 - 96 = 0.\nAnswer: -2, 2\/7, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4 + 7. Let o = n - 1. Let y = 5\/7 + -27\/28. Is y at most o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -9*m - 20. Let u be t(-10). Round u to the nearest 10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 + -13 + 2 - -12?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, e: 2, o: 1, f: 1, a: 1}. Give prob of sequence aefo.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4*20\/12*-3 - 0. Calculate the highest common divisor of 16 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w + w - 15 = 0. Find the common denominator of -59\/20 and (-4 + w)*93\/60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from dkkkdkkddkkdkk?\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(7\/6))**(2\/23)\/((b*b*b\/b**14)\/b**(6\/7)) assuming b is positive.\nAnswer: b**(5776\/483)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - 12\/3)*-1. Let b = k - 1. Suppose 0 = -2*z + 6*v - 4*v + b, -5*z = -4*v - 7. List the prime factors of z.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 243157?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1 + 2 + 1 + (65 - 1). Let g(h) = -9*h - 104. Let v be g(-12). Calculate the highest common factor of v and z.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -5*h - 6. Let r be (42\/(-35))\/(h\/(-20)). Let l be ((-6)\/(-7))\/(r\/(-42)). Which is bigger: l or -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 295 divide 119180?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**12*m\/(m\/(m**0*m))*m)**(2\/93) assuming m is positive.\nAnswer: m**(28\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = t - 1. Let y(u) be the third derivative of -5*u**4\/12 + 10*u**3\/3 + 1234*u**2 - 2. What is 8*k(q) + y(q)?\nAnswer: -2*q + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) be the first derivative of -8*a - 4 + 3\/2*a**2. List the prime factors of k(14).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 23*l + 191. What is s(-17)?\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 332733 and 2955?\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 7 = -8, -2*q - 4*r = -4. Is q != 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -6*g. Suppose -h + 3*c + 14 + 3 = g, 4*c + 4 = 0. Calculate the least common multiple of h and 20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -99187258*d*t**2 + d*t + 4455*d - 2*t + 268 wrt t.\nAnswer: -198374516*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42, -104, -182, -282, -410, -572, -774?\nAnswer: -1022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-49)\/(-12)*258\/(-332). Let j = n - -4\/83. Find the common denominator of j and 438\/(-110) - 2\/(-11).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 48896104 to the power of 1\/2, to the nearest integer?\nAnswer: 6993","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes after 3:00 AM?\nAnswer: 8:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1936 and 1694?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i + 74*i**3 - 149*i**3 + 1 + 5*i**2 - 5*i + 4*i + 69*i**3 - 8*i**4 in the form c*i**2 + t + u*i + g*i**3 + w*i**4 and give g.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -2*a**3 + a**2 + 2*a - 9. Calculate t(3).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 + 0 + 9 + -4 - 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -27*i**3 + 2*i**2 - 2*i - 1. Let a(q) = 26*q**3 - 3*q**2 + 3*q + 1. Let k(g) = 2*a(g) + 3*m(g). What is k(1)?\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 16 + 8 = 0. Let i = 14 + h. Suppose -3*k + i = -2*k. What is the smallest value in k, 0, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**45*k*k*k**11)**14 assuming k is positive.\nAnswer: k**812","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 6601297 divided by 4\nAnswer: 6601297\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 44289 + -22222. What is the hundreds digit of n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 plus -57?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10 + 4*l - 3*l + 4 + (5 - 3 + 1)*(-3*l + 2*l + 0*l) - 13 - 9*l + 13 to the form i*l + n and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 46*t + 45.\nAnswer: (t + 1)*(t + 45)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 55 - 52. What is the remainder when 6\/9*(-9)\/(-1) is divided by n?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 9*y**3 + 99481*y**2 + 198935*y + 99463.\nAnswer: (y + 1)**2*(9*y + 99463)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11500 (base 6) to base 13.\nAnswer: -a02","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-13)\/d)\/(d\/(d*(d\/(d*d**(-2\/7))*d)\/d*d)) assuming d is positive.\nAnswer: d**(-89\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17063?\nAnswer: 113, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d = -69 + 4 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rwwrwww. Give prob of sequence rww.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 7 = -4*m - 7*w, -5*w + 6 = 4*m. Let f = 3.1 + -0.1. Let z be ((-8)\/(-80))\/(1\/(-4)). What is the second biggest value in f, m, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1560 (base 9) in base 16?\nAnswer: 4a4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9) - 574\/(-6). Suppose 0 = -13*b - c + 513. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 8, 2\/13, -5, 0.08 in ascending order.\nAnswer: -5, 0.08, 2\/13, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 91.7 + -87. Let x = g - 0.6. What is x rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**3\/(x*x**(2\/13)*x))\/(x**(2\/3)\/x)**11*(x**(-1\/3)\/x)**(1\/5)*(x**(3\/7)\/x)\/(x**5\/x) assuming x is positive.\nAnswer: x**(-148\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 138*(-2)\/(-8)*(5074\/645)\/(-59).\nAnswer: -23\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 55\/(-22) + -4*(-172)\/224. What is the nearest to 77 in 1, b, -0.5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23 + ((-66)\/121 - 144\/(-22)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 839, -1\/5, -2\/15, -2, 0.3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 10487?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - d73db?\nAnswer: -d73df","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w - 1317148 + 1317148.\nAnswer: -9*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 460342667 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -72 times 23866?\nAnswer: -1718352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 1 + 1)*(0 + 0 + 2*j) - 26*j + 13*j + 46*j.\nAnswer: 21*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.06 + -0.1. Let s = -0.04 - y. Which is the second smallest value? (a) s (b) -0.1 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 1 + ((((sqrt(85) + -1*sqrt(85))*2 + sqrt(85))\/(-3*sqrt(45)))**2 - (sqrt(425) - (sqrt(425) - (1 + -1 + sqrt(425)))**2)*-2).\nAnswer: -64\/81 + 10*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10120 (base 5) to base 6.\nAnswer: -3020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -888 + 893. Suppose -3*y - 8*r + 14 = -6*r, -10 = h*r. What is the lowest common multiple of y and 46?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 554060 is divided by 130?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, -0.2, 0, 0.2 in decreasing order.\nAnswer: 0.2, 0, -0.2, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -29*r**4 - 343*r**3 - 1279*r**2 - 1282*r + 51. Let v(p) = -10*p**4 - 114*p**3 - 426*p**2 - 428*p + 18. Let z(c) = 6*m(c) - 17*v(c). Solve z(t) = 0.\nAnswer: -26, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4555*h**2 + 7*h + 2007*h**2 - 152 - 11*h wrt h?\nAnswer: -5096","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 2575\nAnswer: -1\/2575","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -18*-589.455\nAnswer: 10610.19","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 5*u**4\/12 + 3*u**3 + 13*u**2\/2 - 34*u + 1. Find k such that d(k) = 0.\nAnswer: -13\/5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(3\/2)\/(d\/d**6)*(d*(d\/d**1)\/d)**29 assuming d is positive.\nAnswer: d**(13\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iitiiikiikiiii. What is prob of picking 2 k?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 99550588 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: Does 28 divide 126505974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1913 + 1329. Let l = d + 584.00644. What is l rounded to 4 dps?\nAnswer: 0.0064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 1 d when two letters picked without replacement from daavdvvaaa?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9 = -6*l - 15 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 4632.779334 rounded to zero decimal places?\nAnswer: 4633","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -33692.1 - -35360. Let y = j + -2046. What is y rounded to the nearest ten?\nAnswer: -380","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95*f + 99*f - 140 = 0. What is the remainder when 141 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0403706099 to five decimal places.\nAnswer: -0.04037","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 11a9 - 33?\nAnswer: 1176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 37, 74, 111, 148, 185, 222?\nAnswer: 259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*n + 2 - 2)*(126*n - 299*n - 251*n)*(2*n - 3*n + 0 - 2) as a*n**2 + j*n**3 + h + d*n and give j.\nAnswer: -848","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296 is divided by 150.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 1211, 1493, 1771, 2039, 2291?\n\"Answer: -n**3 + 4*n**2 + 277*n + 931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 5*z - 35. Let n be i(22). Let h = -79 + n. Let r be (-1)\/h + (-25)\/20. Which is the fourth smallest value? (a) -0.2 (b) r (c) 0.5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1407 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1040 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 604251 is divided by 1620.\nAnswer: 1611","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/242785 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2, -98, -368, -892, -1754, -3038?\nAnswer: -4828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-247)\/(-62) - 1163\/(-72106)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 minutes before 7:53 AM?\nAnswer: 7:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x\/(x*x\/((x*x*x**(1\/6))\/x))*x*x*x**(-25)*x*(x**(3\/10)*x)\/(x\/(x**(-3\/13)*x)) assuming x is positive.\nAnswer: x**(-4049\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, -210, -566, -1052, -1662, -2390?\nAnswer: -3230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = c**2 - 3*c - 2. Let g be x(4). Let h(n) = 4*n - 53. Let j be h(12). Let u be (j - -24) + -1 + g. Solve y + u = 6*y for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -678*c**2*q**2 + 18*c**2*q + 12*c**2 - 2*c*q**2 + 11*c*q - 36*c - 60*q**2 + 19*q - 2 wrt c?\nAnswer: -1356*q**2 + 36*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 692.673 + -692. Let m = 0.7131 - c. Round m to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -80, 2\/15, 4 in decreasing order.\nAnswer: 4, 2\/15, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -51 - 22*f**3 + 51.\nAnswer: -22*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-466916\nAnswer: 186766.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the first derivative of 0*z + 8\/5*z**5 - 1\/3*z**6 + 8\/3*z**3 + 4 - 3*z**4 - z**2. Factor o(u).\nAnswer: -2*u*(u - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.8 + -3. Let b = 3.863 + r. What is b rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a = -5*j - 5 - 10, 4*a = -5*j - 15. Solve a*g + 3 = 3*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that -2*j**2\/15 - 8*j\/15 + 22 = 0.\nAnswer: -15, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -z**3\/2 + z**2 - 27*z - 36. Let d(t) be the first derivative of a(t). Suppose 3*c - 9 = -0. Determine d(c).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -29*p + 1. Let u(r) = 60*r - 147. Calculate 3*g(c) + u(c).\nAnswer: -27*c - 144","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 573 minutes before 11:19 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -3143 times 6\nAnswer: -18858","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 26494801149 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + ((-340)\/95)\/(-4) + 2\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -6*g. Let t(p) be the second derivative of 5*p**3\/6 - p**2\/2 + 43*p - 11. What is a(t(l))?\nAnswer: -30*l + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.4 - -0.42. Let w = 0.42 - m. Let q = -263.6 - -263.6. Which is the nearest to 0? (a) q (b) w (c) -2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -10*f**2 + 48*f + 115. Let u(x) = 28*x**2 - 144*x - 344. Let m(j) = -8*b(j) - 3*u(j). Suppose m(v) = 0. Calculate v.\nAnswer: -2, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -226 + 175.8. Let g = j - -41.2. Which is the third biggest value? (a) 2\/7 (b) g (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 116 = -4*w + 140 for w.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -90947 - -3?\nAnswer: -90944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*h**3\/3 + 28*h**2\/3 + 80*h\/3.\nAnswer: 2*h*(h + 4)*(h + 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f\/(f**21*f))\/(f\/(f*f**(2\/51))))\/(f*f**(7\/5)\/f*f**(-1\/16)) assuming f is positive.\nAnswer: f**(-86897\/4080)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(((t**(-1)*t)\/t*t)\/t*t)\/t)**18*(t\/t**7*t)\/t*t**(-7)*t)\/(t*t\/(t**(2\/7)\/t)*t*t*t**(-1)*t**(-7)\/(t\/(t*t**(1\/5)*t))) assuming t is positive.\nAnswer: t**(-347\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = -o**2 - 2*o - 5. Let p(k) = 6*k**2 + 10*k + 26. Suppose 2*l + 41 = 5*l + 2*s, 0 = 2*s - 8. Let x(v) = l*n(v) + 2*p(v). Give x(-2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.0684 - -0.0684. Sort 0.5, i, 26, 0.1 in decreasing order.\nAnswer: 26, 0.5, 0.1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 190 (b) 21.78 (c) 4 (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 82129 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -37*261\nAnswer: -9657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.066 + 0.123. Let w = b + 0.003. What is the fourth biggest value in w, 0, 5, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 5, a: 5, c: 5, d: 1}. What is prob of picking 1 q and 1 a?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 653804276 divided by 163451069\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 - (-137 + 148 - (16 - -1)).\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 2*j**2 - 21*j + 27. Let q be o(9). Suppose q = 3*c - 2*c + 5*n - 547, -8 = 2*n. List the prime factors of c.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1 (b) 0.07 (c) 13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2600)*5 - sqrt(2600) - sqrt(2600))\/(sqrt(242)*-4).\nAnswer: -15*sqrt(13)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 390.0055329 - 423.00553388. Let a = -0.7 - -33.7. Let g = i + a. What is g rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -2*q**2 - 56*q - 109. What is the remainder when j(-19) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the second derivative of 4*d**6\/5 + 13*d**5\/20 + 75*d**4 - 5*d - 23. What is the third derivative of j(r) wrt r?\nAnswer: 576*r + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -9*j**3 - 7*j**2 - 2*j - 2. Let d(f) = -45*f**3 - 36*f**2 - 11*f - 11. Let k(q) = -4*d(q) + 22*m(q). What is the third derivative of k(v) wrt v?\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 + 3 - 7)*(5*a - 5*a + a**2)*(27 - 54 - 48*a + 21) to the form l*a**2 + x + j*a**3 + u*a and give l.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 951, 960, 969, 978, 987?\nAnswer: 996","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 79848.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -50*c - 571. What is o(-15)?\nAnswer: 179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-9) + 1 + (-9 - -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 + -1. What is the smallest common multiple of 20 and (1 + -2)*k + 1?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xsh when three letters picked without replacement from srwpxhwrprpwswwswsx.\nAnswer: 4\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = -f**3 + 4*f**2 - 2*f - 2. Give n(2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 - 2.35. Let n = -2.4 - w. Let m = n - 0.26. What is the biggest value in m, 2, 1\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2 + 3)\/(2\/12). Let t be (-8)\/(-28) - (-5)\/(1260\/(-114)). What is the second biggest value in t, 2, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12 and 588.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -615192 + 0*n - 3*n + 615192.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-11 + 6 - 3 - 7 - 7)*(3*j + 2*j - j) as m + t*j and give t.\nAnswer: -88","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 128926 = -32*w + 39*w. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*d = 873, 6*d = 3*r + d - 1311. Calculate the highest common factor of 27 and r.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -5, -2, 2\/5, 14.9, 0.1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/10)\/((-1)\/(-3)). Which is the closest to 0.1? (a) q (b) -1 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*u**6 + 50*u**4 + 12583*u**3 + 297421*u**2 + 96.\nAnswer: 1080*u**3 + 1200*u + 75498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*k**2 - 36*k**2 + 11*k**2 + 14*k**2 + 11*k + 10*k**2.\nAnswer: 8*k**2 + 11*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -3*c + 19. Solve f - 15 = c*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - -5*sqrt(190)*1 - sqrt(190))*-3)\/(sqrt(10)*2*-2*-6).\nAnswer: -5*sqrt(19)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 9:26 AM?\nAnswer: 8:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 10\/33 + 1\/33. Let d = -19087\/21375 + -2\/1125. Find the common denominator of d and j.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 298750749?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 525 and 324?\nAnswer: 56700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*c + 43*c - 210 = -372 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.02? (a) 2 (b) -4 (c) 1\/3 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 4*j - 4. Suppose 0 = o + 5*r - 76, -4*o - r = -6*r - 379. Let u = o + -85. Calculate the remainder when 31 is divided by h(u).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 (base 9) in base 13?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 763*q - 38*q**2 - 122*q**2 - 763*q + 189*q**2.\nAnswer: 29*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 205555 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 + 110100111110100100?\nAnswer: 110100111110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*a - 9*a + 11*a - 2*a.\nAnswer: -3*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*q**3 + 8 + 23*q**2 - 7 + 4*q**2 - 2*q - q**4 + 1 in the form w*q**4 + c*q**2 + h*q**3 + r + z*q and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in sixty-seven fifths of a decade?\nAnswer: 1608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 132 and 78.\nAnswer: 1716","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 256 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -622*h - 440*h - 637*h + 1690*h.\nAnswer: -9*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 37796 is divided by 293.\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -g**2\/7 - 24442046*g\/7 - 149353403166529\/7 = 0. What is g?\nAnswer: -12221023","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seventy-three quarters of a litre?\nAnswer: 18250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 45263, 48495, 53891, 61457, 71199, 83123, 97235?\n\"Answer: h**3 + 1076*h**2 - 3*h + 44189","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 10628427 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*w + 1 - 1)*(15*w + 24*w - 16*w) + (1 - 4 + 2)*(w + 0*w - 3*w)*(-3*w + 5*w - 3*w).\nAnswer: -48*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 94 divide 11750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -6*c - 4. Give i(-2).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 4*v + 61 = 6*b, 5*b + 2*v = 83. Let c(r) = r**2 + r - 69. Let m be c(-9). Solve 0*k - b = -m*k, -3*k = 4*w - 27 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Factor 0*k**3 - 3*k**n + k**3 - 2 + 3*k + k**3.\nAnswer: -(k - 1)**2*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2*(-14 - 140\/(-7)). Solve 0*m = -2*m - 6*r + j, -4*r + 8 = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/37678 and -35\/6.\nAnswer: 113034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*a + 4278 + 4275 - 12836 + 4283.\nAnswer: 7*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -757*c - 644*c + 8044 = 62683 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -114*l - 447. Let f be u(-4). Solve f*n = 139*n + 780 for n.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*b + 27 = 51, -5*b = -4*o - 50 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-3)*y)**26)**(-8\/9) assuming y is positive.\nAnswer: y**(416\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15*p - 15*p + p**2)*(27*p**2 - 22*p**2 + 23*p**2 + (2*p - 4*p + p)*(2*p + 2*p - 6*p) + 3*p**2 + 3*p**2 - 4*p**2).\nAnswer: 32*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(1 + (5 + -6*(sqrt(1900) + -2 + 3 - sqrt(1900)))**2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*b = 133 - 48. What is the smallest value in 17\/3, 3, b?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 129 = 5*m - 151, -5*k + 40 = 5*m. Let p(i) be the second derivative of -i - 5\/3*i**3 + 0 + 3\/2*i**2. Determine p(k).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -5 + -11?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1658846291?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 712156663 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 18 + -33. Let s = k - -24. Suppose 5*o = -389 + 469. Calculate the remainder when o is divided by s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -3*u + 483, -12*u + 16*u = -5*v + 643. Calculate the lowest common multiple of u and 1256.\nAnswer: 1256","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 8) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -107, -75, -43?\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - t = -3576, 3*t + t - 3570 = -2*w. List the prime factors of w.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -110111100001001011?\nAnswer: 110111100001000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, 5, -84, -13, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-8)\/((y**(3\/5)*y)\/y))\/(y**(-10)\/(y\/(y**16\/y))) assuming y is positive.\nAnswer: y**(-63\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 67482 to the power of 1\/2, to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of h**4 - 66306179*h**3 + 348*h**2 - 3*h - 12032 wrt h.\nAnswer: 24*h - 397837074","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3564 = 237*q - 228*q. Calculate the remainder when q is divided by 40.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/(-11))\/((-9)\/(-198))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-101)\/57 + 34\/323 + (-258)\/(-117)?\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161 = -d - 32*n + 33*n, n = -3*d + 463. What is the smallest common multiple of 24 and d?\nAnswer: 312","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hb when two letters picked without replacement from {h: 8, b: 2}.\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 25813157 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -474925223*q + 170680753 wrt q.\nAnswer: -474925223","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32102033223 (base 4) to base 13.\nAnswer: -a11636","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 14, 60, 138, 248, 390, 564, 770?\n\"Answer: 16*m**2 - 2*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 297\/612 - 1\/4. What is the nearest to 0.1 in 2\/7, s, -1?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11712*q**2 - 4*q**3 + 11702*q**2 - 35118*q**2 + q**3 + 11704*q**2.\nAnswer: -3*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -63 = -16*q + 13*q. Let a = q + -19. What is the remainder when 14 is divided by 1 - -8 - (a + -1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 13 = 10. Let h be x + (-5 - -4)*-2. Suppose -b - 17 = -2*w - 46, 3*b - 131 = -h*w. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1638723 to the power of 1\/3, to the nearest integer?\nAnswer: 118","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -2*c**3\/3 - 2387. Let o(u) = 134*u - 8. Determine o(j(y)).\nAnswer: -268*y**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-9)\/15 + (-15)\/(-25). Suppose -3*n = n - 8. Suppose j = o + n*o. Is o equal to -1\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 1 - 6 = 3*a, 0 = -4*a - 4*q + 20. Suppose 86*b = 178*b - 735*b. Solve 5*w = -a*w + i + 16, -4*w + 4*i = b for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*v**2 + 3 - 48*v**4 - 2*v**3 + 3*v**5 + 48*v**4 - 6*v**5 wrt v?\nAnswer: -180*v**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 7, w: 3}. Give prob of sequence qq.\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of 4*k**3\/3 - 3*k**2 - 5*k + 1. Is q(-1) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 - -3. Let a = -102 + 102. Sort c, a, -2\/5 in increasing order.\nAnswer: c, -2\/5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1.4, -2\/5, 4, -18572?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 50 + -36. Let m = 1 - 7. Calculate the remainder when 164\/s - m\/21 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15850 or 15851?\nAnswer: 15850","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 64.66811 millennia?\nAnswer: 776017.32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-6)\/45)\/(32\/876). Let g = 22\/5 + z. Solve 1\/2*o**4 + 1\/4 - 1\/4*o**3 + 1\/4*o - g*o**2 = 0.\nAnswer: -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25 - -34. Suppose -5*n + 5 = -2*a, 5*n = j*n + 4*a - 32. Let p be (-1 - -1)*n\/6. Solve -2*r + 4*m + 14 = p, m + 2 = 2*r + 3 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 760391 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:44 AM and 10:05 PM?\nAnswer: 681","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/18 + 66\/54. Let c be 1 - (3 - s) - -6. Calculate the highest common factor of c and 45.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -4*q**2\/7 - 230044*q\/7 = 0.\nAnswer: -57511, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 23.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m + 12. Let u be y(9). Suppose -3*o + f - 6 = 0, u*f + 3 = o - 3. What is the tens digit of (-1)\/(o*(-3)\/(-126))?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve r - 112 = -103 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4693179 or -4693188?\nAnswer: -4693188","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -141, -168, -87, 102, 399?\n\"Answer: 54*j**2 - 189*j - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 345, 349, 355, 363, 373?\nAnswer: 385","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 15330384697 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3*a + 8. Suppose -2*s - 34 = -4*h, a*h - 5*h = -4*s - 5. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 3*k**2 + 4. Let o be t(2). Which is the second biggest value? (a) o (b) 4.2 (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f = 4*g - 11, -2*f = -4*g - 5*f + 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 56 a factor of 7224?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*y + 2*v, 5*v = 3*y - 0 + 4. Suppose 62*a - 61*a = y. Factor -11*f**3 + f**2 - 4*f**4 - 9*f**a - f**3.\nAnswer: -4*f**2*(f + 1)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -106 (base 7) in base 16?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-4)\/(-16)*0. Is l\/(-15) - 167342\/(-210) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 6*n - 382 = 0, 5*v - 2*n = -3*n + 397. What is the remainder when v is divided by 29?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.8375 + 0.2375. Let j = 21 + -40. Let k = j - -18. Put -0.3, 1, s, k in descending order.\nAnswer: 1, -0.3, s, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/(-4))\/((-5)\/80). Suppose 0 = -u*w + 8*w + 120. What is the highest common divisor of 75 and w?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 3*u**3 - 8*u**2 + 6*u + 9. Is a(4) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -15, 5, 1141?\nAnswer: 1141","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 96 = 12*g. Let f(r) = g - 2*r - r**2 - 3*r - 6 - 8. What is f(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4\/23, -69\/17, 3, 4, 0.5?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -100642, -201207, -301772, -402337, -502902, -603467?\n\"Answer: -100565*i - 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 2*v**2 - 20*v - 7. Determine j(10).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 518 = -19*a - 30*a - 68*a - 652 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/4)\/(4\/16). Let s be 0\/5 + (4 - -1). Suppose r + 13 = s*k, -x*k + 9 = -5*r - 10. Let u(n) = n + 2. What is u(r)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 2778621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162 - 17*j**2 - 156 - 158 + 476.\nAnswer: -17*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -392, -692, -810, -668, -188, 708, 2098?\nAnswer: 4060","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 55, 120, 187, 256?\n\"Answer: n**2 + 62*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 2, l: 1, r: 5}. What is prob of sequence rr?\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 198271 to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 16956 and 7506?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 5777.986 to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = j**3 + 6*j**2 - 3*j - 6. Let z be g(-6). Solve 0 = -h + 3*h + 2*u + 8, -4*u - z = 3*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 16. Solve 27 - i = -5*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 100 and 200?\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tsss when four letters picked without replacement from {t: 2, i: 1, s: 7}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Do 15\/3779527 and 0 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.13324043 or -1?\nAnswer: -0.13324043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -132c (base 15) in base 10?\nAnswer: -4092","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000407504 rounded to seven decimal places?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.07 in -3\/5, 1\/12, 1, -19\/4, -5, 4\/7?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(0*t**2 - 2*t**4 + 0*t**2).\nAnswer: -2*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 19623.239584 - 19656.24. Let k = -25 + 58. Let z = d + k. What is z rounded to 5 dps?\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74 + 76 = -50*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 4 = 3*r, 2*t = -3*t - r + 44. Solve -3*d - t = -11 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 8. Let f(x) = -x + 11*x - k*x. Let d(o) = -42*o**2 - 11*o**2 + 56*o**2. Determine d(f(y)).\nAnswer: 192*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2558 is divided by 40.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.06 * 6\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -17.9 - -18.4. Sort -0.5, 3\/7, v.\nAnswer: -0.5, 3\/7, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 9 (b) -96 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-6)\/(12\/(-4)))\/(10\/1)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2021101 + 11?\nAnswer: 2021112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19110 and 702030.\nAnswer: 63884730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 78 - 45. Let w = t - 3. Let f = w - 30.3. Which is the second smallest value? (a) -4\/5 (b) 0.5 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/9 or -4\/9271?\nAnswer: -4\/9271","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 8*l. Let s be m(-1). Let r be (-8)\/(-10)*(-6)\/s. Which is the closest to -1? (a) 0.4 (b) 3 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*h + 9*h - 3*h**2 - 15*h - 670 + 670.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -11, 5, 0, 9 in decreasing order.\nAnswer: 9, 5, 3, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7a18 - -5397?\nAnswer: -2631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*a**4 + 1244*a**3 + 256*a**2 - 2*a - 155817382 wrt a.\nAnswer: 24*a**2 + 7464*a + 512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the first derivative of 37*x**4\/4 + 63*x**3 + 87. Find the third derivative of y(l) wrt l.\nAnswer: 222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -0.5 (b) -5 (c) 0.076 (d) 3 (e) 2 (f) -450\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-4)\/(-6))\/((-4)\/(-24)). Let a(g) = g**3 - 3 - i*g + 5*g - 2*g - 2. Determine a(0).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7343 (base 12) to base 16.\nAnswer: -3123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h*h*h**(-12\/11)*h*h\/(h**(-2\/5)*h) assuming h is positive.\nAnswer: h**(127\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-40)\/(-4)*1\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 649*i**3 - 3*i**2 - 2*i + 5. Let o be x(3). Suppose -3*m + 3*s + 15126 = 0, 2*s - 2691 = -4*m + o. Let u = -1228 + m. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -368049482*s + 7700124 wrt s.\nAnswer: -368049482","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*i + 10*i - 47*i + 17*i + 5*i.\nAnswer: -4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47\/4 of a century in months?\nAnswer: 14100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*d + 412 = 95*d + 1372 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (15 - 7 - 17) + 4 + -6\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 12*h**2 + 16*h**2 - 25*h**2 - 2 + (-3*h + h + h)*(-h - 3*h + 6*h).\nAnswer: h**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 12\/8 + (-66)\/(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -13414, -15900, -18386, -20872?\n\"Answer: -2486*w - 10928","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + sqrt(121)*-3*2 + sqrt(121) + sqrt(121) + (sqrt(121) + sqrt(121)*1)*4)\/(sqrt(55)\/(3*sqrt(5))*6).\nAnswer: 5*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 58309 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = a + 5*q, -5*a + 4*q + 17 = -2. Suppose a*o = 9*o - 36. What is the least common multiple of 2 and o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*a + 96 = 7*g, 9*a - 304*g = 12*a - 309*g + 68 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 61970009.\nAnswer: 43, 613, 2351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 5, x: 4, c: 3}. What is prob of picking 1 x, 1 c, and 2 t?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14011 + 2?\nAnswer: 14013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = z**2. Let i(s) = -164*s + 7*s**2 + 1 + 164*s + 1. Give 6*f(a) - i(a).\nAnswer: -a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*c - 26*c - 3*c in the form r*c + k and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 52 + -6. Suppose 4 = -5*a - x. What is the second smallest value in 2\/3, a, 2?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 351554681 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 5*j**2 + 2*j + 4. Let o be h(-3). Suppose 97 = 2*v + 65. Suppose o + v = z. Is z a multiple of 37?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 285702354517 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21*(-5)\/175*-10?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**4 + 2*g**3 - 2*g**3)*(-10 - 2 + 7) + 0*g**4 + 4*g**4 - 2*g**4 + (g**2 + 8 - 8)*((-3*g + 0*g + 4*g)*(g + 2*g - 4*g) - 2*g**2 + 5*g**2 - g**2).\nAnswer: -2*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 230 and 851.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 6 = -0*r - 4*r, 0 = -3*r + 4*a - 11 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + -2. Find the common denominator of ((-2)\/4)\/(27\/r) and -3*(892\/12 + -3)\/20.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 379 - 361*a + 118 - 497.\nAnswer: -361*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -892295, -3569112, -8030473, -14276378, -22306827, -32121820, -43721357?\nAnswer: -57105438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -31\/208510 and -101\/90?\nAnswer: 1876590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -50\/7? (a) -1\/9 (b) -2438 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r - 5. Let b(j) = -5*j + 3. Suppose 2*l + 7 = -3*f, 0 = f - 0*l + 3*l. Determine f*h(w) - 5*b(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2178\/21 + (-2)\/(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -4.605 + 4.6. What is q rounded to three decimal places?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 518198 is divided by 15236?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 363 - 358. Solve 4*r = -k*t + 3, 0 = -5*r - t - 0*t - 12 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -157, -478, -807, -1144?\n\"Answer: -4*h**2 - 309*h + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 419386?\nAnswer: 2, 11, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -312\/7 - 64\/7*j - 2\/7*j**2 = 0. Calculate j.\nAnswer: -26, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -3, 1\/5, -280074?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -20*f**3 + 95*f**2 + 2390*f + 2800 = 0.\nAnswer: -8, -5\/4, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-4 + (sqrt(2736) - (6*sqrt(2736) - sqrt(2736))) + (sqrt(19) - ((sqrt(152)\/sqrt(8) + 2 - sqrt(19)) + sqrt(19))))**2*-2.\nAnswer: 4608*sqrt(19) + 350496","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*t - 3 + 3)*(0*t + 0*t - 6*t**2) + t**3 - 4*t**3 + 5*t**3 - t**3 - 2*t**3 + 4*t**3.\nAnswer: 15*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11803036 is divided by 173574?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7*u**2 + 7*u - 14. Let m be r(3). Let w(y) = 51 - m + 26*y**2 - 25*y**2 + 11*y. Give w(-13).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 + 3*b**5 - 2*b**5 + (-3*b + 6*b - 5*b)*(-3*b**2 + 3*b**2 - b**4) + 2 + 0 + 5*b**5 - 4*b**5 + 126*b**5 + 3*b**2 - 124*b**5 + 5*b**2.\nAnswer: 7*b**5 + 8*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(891)*-2)**2*-5.\nAnswer: -17825","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6979 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.2 in 450, 70, 2\/15, 1\/2, -1\/10?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + -1 + 0 - (966\/92 + -10). Let n = 1 - -1. Let f be n\/3 + (-5)\/3. Which is the closest to f? (a) 5 (b) q (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -5, 2.12, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express t**2 - 4*t**2 + 4*t**2 + (126597 + 1051*t - 126597)*(-2*t + 5*t - 2*t) - 3*t + 2*t**2 + 3*t in the form m + w*t + g*t**2 and give g.\nAnswer: 1054","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -36.8 - -37. What is the closest to -2 in b, 2\/15, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 438611741 to the nearest integer?\nAnswer: 20943","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00170721 to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 815786.17 or -0.1?\nAnswer: 815786.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = 2*i**2 + 2. Let y be v(-4). Let o = 37 - y. Solve -2*b - o = -b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -455.92 + 456. Is y at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 173812 and 12848.\nAnswer: 558284144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 10 + 0)*(2 - 3 - 1 + (-2 + 0 + 3)*(3 - 5 + 0))*(1 - 1 + 3*q).\nAnswer: -144*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 15\/61 or 1118906?\nAnswer: 1118906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 4*b**2 + 21*b + 33. Calculate m(-4).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 5 + -1. Let b = 4 - 0. Find the first derivative of 0 + c*d**4 - 3*d**b + 2 wrt d.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-16)\/(-8)*114\/133*(-21)\/12. Sort y, -1, -104 in descending order.\nAnswer: -1, y, -104","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qamqmhaqaq. What is prob of sequence amah?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 126*i + 78. Let b(j) = 62*j + 39. Let f(r) = -5*b(r) + 3*o(r). What is the derivative of f(c) wrt c?\nAnswer: 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-11)\/1)\/(17\/(-17)). Suppose 251 = 3*j - 46. Calculate the greatest common divisor of j and l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 (base 10) in base 11?\nAnswer: 20a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -6*(-2)\/(-20) + 26\/10. Factor -5*b**l + 10*b**2 - 14 - 31.\nAnswer: 5*(b - 3)*(b + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -0.3 and -24611 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a kilometer in centimeters?\nAnswer: 90000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**2 - 163*d - 6. Let b(k) = -33*k. Calculate b(o(g)).\nAnswer: -66*g**2 + 5379*g + 198","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**3 + k - 1. Let n(t) = -51*t**3 - 273. Let c(x) = -12*x**3 - 66. Let i(b) = 21*c(b) - 5*n(b). Give -i(p) + 2*w(p).\nAnswer: -p**3 + 2*p + 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3.94 + 0.06. Let l = -205 - -210. What is the third biggest value in t, l, 2, 0.03?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -28*d. Let r(p) = -346*p + 24. Let n(h) = -37*c(h) + 3*r(h). Let q(m) = 7*m. Let v(u) = -u. Let s(x) = -q(x) - 5*v(x). Calculate s(n(y)).\nAnswer: 4*y - 144","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -18 + 22. Let y(v) = v + 8. List the prime factors of y(d).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2*h + 20. Let s be w(-11). Let a = -4 - 1. Sort 6, s, a.\nAnswer: a, s, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = z + 2*l - 59, -3*z + 5*l + 157 = l. Let b = 22 + z. What is the tens digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a. Let k(h) = 5*h**2 - 6*h + 6. Let d be 1\/3*1*6. Let z(j) = 7 + 6*j**d - 2*j - 5*j + 0*j**2. Let q(b) = -7*k(b) + 6*z(b). Calculate q(m(l)).\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**2 + 14*p + 31. Let m be u(-12). Calculate the common denominator of -1*m - 2037\/(-336) and ((-3)\/16)\/((-3)\/(-73)).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**4\/4 - i**3\/3 - 59*i**2\/2 + 19*i + 24. Does 31 divide r(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4534?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-73)\/(-876))\/(2\/(-8))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*f - 3 + 3)*(3*f + 0*f - f) + 2*f**2 - 3*f**2 - 2*f**2 as t*f + o + i*f**2 and give i.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 15 and 90?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4 and 215242.\nAnswer: 430484","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1047 + 1050. Let z = -5.3 + 0.3. Let x = 3 + -2.6. What is the nearest to x in t, z, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5347 + 9348. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2464280516?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -1211.9520911 plus 0.2?\nAnswer: -1211.7520911","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 52228 and 56976?\nAnswer: 626736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of -20*p + 1\/12*p**4 - 2\/3*p**3 + 0 - 6*p**2. What is the units digit of j(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8 - (-2992)\/(-204))*2\/(-32).\nAnswer: 5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of -221*d**4\/3 + 1127*d**3 + 6404*d**2. Find the first derivative of h(g) wrt g.\nAnswer: -1768","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -14*(2 + 20\/(-8)). Suppose 2*t + 1465 = q*t. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1020839921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -65255 (c) -5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2519 and 2519.\nAnswer: 2519","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13031 + -204?\nAnswer: 12322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20 - 8 + 28 + 3*y**2.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (14\/63312)\/(2\/(-112276)). Let u = f + -4\/1319. Find the common denominator of ((-51)\/8)\/(9\/(-6)) and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1795*t**2 + t + t**4 - t**4 - 5*t**3 - 2*t**4 + 1798*t**2 to the form d + x*t**2 + i*t**4 + a*t + w*t**3 and give x.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9215930, 18431905, 27647906, 36863945, 46080034, 55296185, 64512410?\n\"Answer: 2*o**3 + o**2 + 9215958*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3183203 is divided by 2256?\nAnswer: 2243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(132)\/(1*sqrt(192)))**2 + 3*(-3 + sqrt(11) + 0 - sqrt(11)).\nAnswer: -133\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 290240 and 464384.\nAnswer: 2321920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h**3 + 8*h**2 + 6*h - 5. Let p be d(-7). Suppose -2*z + 64 = -0*n + p*n, -n = 4*z - 23. List the prime factors of n.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -88*k**2 + 12*k - 11. Let i(j) = 45*j**2 - 5*j + 5. Determine -3*a(z) - 7*i(z).\nAnswer: -51*z**2 - z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 102435?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 481984, 482068, 482152, 482236, 482320?\nAnswer: 482404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3.365119 weeks to seconds.\nAnswer: 2035223.9712","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 22, 51, 110, 211, 366, 587, 886, 1275?\n\"Answer: 2*p**3 + 3*p**2 + 6*p + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 2231470966 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3 - 5 = -2*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mdm when three letters picked without replacement from mymmdsyyjlmmjjmjj?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 bigger than 5\/11243?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -1, -3.65, -261?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 10\/7 (b) 2.2 (c) -2 (d) 0.1 (e) 4 (f) -62\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) be the first derivative of x**2\/2 + 7*x - 2. Let l be u(-5). Solve -4*i + h = -2, -4*i + 3*h - l = -0 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 36*h**3 + 11*h**2 + 2*h - 5. Is r(4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + 3*h + 2*h = 21768, -2*b + 4*h = -10858. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 505 - 481. Suppose -b*x = -7*x - 119. Solve -x*s + 13 + 8 = 0 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 74, 77, 92, 125, 182, 269?\n\"Answer: b**3 - 4*b + 77","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 232 a factor of 15522420?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + -7. List the prime factors of (t - 20)*(-2)\/5.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1 - 1 + 2*j + 6*j - 24*j - 29*j + (2 + 1 - 4)*(3*j + 2*j - 4*j).\nAnswer: -46*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o\/o**(-7))\/o)\/o*(o**(-3\/8)*o)\/o assuming o is positive.\nAnswer: o**(45\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*(-8)\/(-3). Let c = r - -12. What is the highest common divisor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5.3355 + 0.0355. Let k = -5.3571 - q. What is k rounded to 2 decimal places?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 215*c**2 - 5*c**2 + 6*c**3 - 7*c**3 + 2*c**3.\nAnswer: c**3 + 210*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 18. Let l be j(-9). Solve l = 4*t + t - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 + 1)*(234 + 133 + 1)*(0 - 2*o + 0).\nAnswer: -3680*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 3277*x**2 + 357192*x - 140. What is y(-109)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1302713334?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 + 3*s + 2. Let p be q(-5). Let a = p + 37. Let h(d) = d**3 - 2*d**2 - d + 2. Let y be h(2). Sort y, 4, a.\nAnswer: a, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-819)*-7*3.\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 2, i: 1, f: 1, g: 1, c: 2, a: 2}. What is prob of picking 2 c, 1 a, and 1 f?\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-3\/7)*g\/(g*g**(2\/37)))**(22\/3) assuming g is positive.\nAnswer: g**(-2750\/777)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, -76, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -8*w + 324. Let n be s(39). Solve 9 = -t + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:09 PM and 8:42 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2928*r**3 - 2926*r**3 - 2641*r**3 + 8496*r**3.\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 26594 = -5*c + 9995, -c - 18291 = -2*p. List the prime factors of p.\nAnswer: 2, 17, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2667 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 407691 is divided by 203804.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mdmmdddmmdmm. What is prob of picking 2 d?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3ab (base 15) in base 14?\nAnswer: 43a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*k + 9 + 3. What is the units digit of 93\/15 - k\/15?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -111*d + 875. What are the prime factors of a(-23)?\nAnswer: 2, 857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*x**2 - 719*x**3 + 1103*x**3 - 17*x**2.\nAnswer: 384*x**3 + 39*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 17613500 a multiple of 250?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5113174mm to micrometers.\nAnswer: 511.3174","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) be the first derivative of -9\/2*l**2 - 2*l - 7. Give d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.623166l in millilitres?\nAnswer: 6623.166","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 351 divide 476732993?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2788661592 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: Sort -4\/5, 4\/5, -6, 61, 4, 3\/5 in decreasing order.\nAnswer: 61, 4, 4\/5, 3\/5, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2968454 - 2038243. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2816 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -9 (c) 40\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 1537 (base 8) to base 9\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 0*j - 4*f = 17, -f = 4*j + 7. Let o = -631 + 17035\/27. Let k = -40 + 41. What is the closest to k in o, 1, j?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -9, 66, 1623 in decreasing order.\nAnswer: 1623, 66, 5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1371 + -940. Suppose -p - 4*p - 3*g + 438 = 0, 5*p = 4*g + i. Suppose w + p = 5*h, 0*w = 2*h + w - 32. Does 4 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 15038, 15068, 15134, 15254, 15446?\n\"Answer: 3*c**3 + 9*c + 15026","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 44\/99*12\/4?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.8 + -1.1. Let q = -0.05 + 6.05. Let s = q - 5.8. Put m, -1, s in descending order.\nAnswer: s, m, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 33*c. Let z(k) = -29*k - 1. Calculate z(y(j)).\nAnswer: -957*j - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 1\/183699 and -47\/489864.\nAnswer: 1469592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*q + q + 1 - q - 2*q with respect to q.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 75 = -97. Is b equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 850 is divided by 210.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -149 - -152. What is the second biggest value in z, -1, -2\/21?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o when three letters picked without replacement from oxxloooooooel?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -10\/105523?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7437772 a multiple of 301?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-3)\/2*(-32)\/6. Suppose 28 = 2*k + 2*f, -5*f - 4 + 2 = -k. Let t(d) = -k*d + 6*d + g*d. Let o(h) = -3*h**2. Give o(t(r)).\nAnswer: -12*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -22281, -22277, -22273?\n\"Answer: 4*p - 22285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 + -5240.9471?\nAnswer: -5240.6471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 8676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 8785809, 8785822, 8785835, 8785848, 8785861, 8785874?\n\"Answer: 13*g + 8785796","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 20 in -1\/10, 2, -10\/27?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3191 and -0.26?\nAnswer: 829.66","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 176593 and 137?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 121*m - 47. Let k(l) = -5*l - 6. Let n(r) = g(r) - 6*k(r). Let f(u) = 4*u**2. Give n(f(a)).\nAnswer: 604*a**2 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 69310\/54200 + (-3 - -4). Let l = v + -62\/271. Calculate the common denominator of l and -65\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14507320?\nAnswer: 2, 5, 97, 3739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -3062300 divided by 565?\nAnswer: -5420","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**3 - i**2 + 2*i - 5. Suppose 0 = 2*x - 0*x + 8. Does 12 divide t(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.1, 3, 697685?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 64 - 38. Find the common denominator of (-714)\/(-187)*(-3)\/((-18)\/4) and x + (-4)\/(-2) + 1.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 0*o + 184 = -n, 0 = -3*n + 3. Which is bigger: o or 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -924 by -7626.\nAnswer: 154\/1271","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3224.218 nanograms to tonnes.\nAnswer: 0.000000000003224218","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + 1 + (45 - 7) - (16 - 10)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.7 and -259.625.\nAnswer: -258.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -47*w. Let f(m) = 2*m**2 + 128*m - 3. Give f(g(v)).\nAnswer: 4418*v**2 - 6016*v - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 AM and 1:32 PM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -243.2 + 719.92. Let x = n - 477. Which is the nearest to 0.1? (a) -1\/4 (b) x (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9 - 1. Let c be u\/20 + 585006\/(-15). Round c to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00000632 to seven dps.\nAnswer: -0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5051)\/90918)\/((-4)\/66*(-1)\/(-2)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -38472 divided by -4\nAnswer: 9618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.4, 2\/27, -2?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*1*(sqrt(66) + (sqrt(66) - (sqrt(66) + sqrt(66) + -1*sqrt(66) + sqrt(66)) - sqrt(66))))\/(sqrt(600) + 5*4*sqrt(600)).\nAnswer: sqrt(11)\/105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -255920 (base 10) to base 3.\nAnswer: -111000001112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -x**3 + 5*x**2 + x - 5. Let k be t(3). What is the highest common factor of 8 and k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a tonne in kilograms?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:05 PM and 11:15 PM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z + 0*z + 8 = 0, -2*b + z = -235914. Suppose 110004 = h - 4*q, 2*h - 2*q - 102046 = b. What is h rounded to the nearest one hundred thousand?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 1483, 1568, 1663, 1768, 1883?\n\"Answer: 5*y**2 + 70*y + 1408","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -488 * 0.045\nAnswer: -21.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.2 (b) 3 (c) -5 (d) -3 (e) -12\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3*p - 4)*(-3 + 2 - 3)*(3 - 4 + 0 - 1 + 5 - 3 - 1 + 1 - 1 - 2 + 2 - 2 + (2 - 4 + 1)*(-4 + 5 + 1) + 2 + 1 - 4).\nAnswer: -72*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -82*q**2 - 4*q + 4. Let n be g(3). Let k be n\/6 - 1\/(-3). Let j = -81 - k. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 252646 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11.4 - 14. Let z = 2.5 + q. Sort -0.3, -6, z in increasing order.\nAnswer: -6, -0.3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 208*w**6 - 4*w**5 + 64*w**4 - 2*w**2 - 192561*w wrt w.\nAnswer: 24960*w**3 - 240*w**2 + 1536*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qrx when three letters picked without replacement from {i: 2, x: 2, q: 4, r: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000044577242 to 5 dps.\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -231 + 1056. List the prime factors of z.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9214411 divided by 3.\nAnswer: -9214411\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 16, 4, 973619 in decreasing order.\nAnswer: 973619, 16, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -64833865 take away 2173772?\nAnswer: -67007637","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-3348)\/108)\/(1\/(-1)))\/(7\/(-7))?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 19.51551 milliseconds in minutes?\nAnswer: 0.0003252585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -3*g + 8. Let w(t) = -8*t + 24. Let k(d) = -14*h(d) + 5*w(d). Give k(-7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 - 22*g + 4. Let b(r) = -12*r**2 - 44*r + 10. What is -6*b(y) + 15*h(y)?\nAnswer: -3*y**2 - 66*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**7\/2520 - i**6\/80 - i**5\/60 + i**4\/12 + 4*i. Let s(f) be the third derivative of c(f). What is the units digit of s(10)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:43 PM and 4:45 PM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.112915291 to three dps.\nAnswer: 0.113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11054725 (base 8) in base 3?\nAnswer: 11111000220002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-84)\/(-16))\/7)\/((-6)\/(-16)). What is the remainder when ((-497)\/14)\/(l\/4)*-1 is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 12 + 32 - 2*d.\nAnswer: -2*d + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 651207 and 2820?\nAnswer: 612134580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 59 + 26 - 22*b + 6 + 8*b. Let w(g) = g - 6. Determine -6*f(i) - 91*w(i).\nAnswer: -7*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 + 52*s - 26. Let t(v) = -4*v + 2. Let k(o) = d(o) + 13*t(o). Let c(f) = -31*f**2 + 14. Determine c(k(m)).\nAnswer: -31*m**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.63 + -1.43. What is the second biggest value in -0.5, 0.1, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 57807 and 36.\nAnswer: 231228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 3. Suppose 0 = -4*i + 19 + 25. Suppose -i*n = -12*n - 5. Which is the biggest value? (a) n (b) -2\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 358155 and 280?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 264 minutes before 11:46 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the second derivative of -2*z**3\/3 + z**2\/2 - 165*z. Suppose -s = -0*s + 5*f + 18, -3*f - 4 = 4*s. What is h(s)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*q - 5*b + 5, 3*q = 5*b - 4*b - 1. Solve q = -3*p - 9, -d - 16 = -0*d + 5*p for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor v**4\/3 + 5*v**3\/6 - 11*v**2\/6 + 2*v\/3.\nAnswer: v*(v - 1)*(v + 4)*(2*v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 147482.\nAnswer: 2, 37, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3822\/8 + -1 + 69\/(-92). Suppose r + k + 3*k = z, -5*r + 2285 = k. Calculate the greatest common divisor of r and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t + 3. Let j be u(-5). Let i(f) = -21*f - 55. Let p be i(-3). Let o(r) = -r**2 - 3*r + 4. Let s be o(-3). Solve -s*c - p = -j*c for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -21 + -503?\nAnswer: -524","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -5*d**2. Let p(c) = 2*c**3 - 35*c**2 + 19*c - 16. Let f be p(17). Suppose -i - 2*j = 0, 4 = -j + 1. Let z(n) = -i*n + f*n - 13*n. Determine z(s(h)).\nAnswer: 5*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2, -0.08, -8, -1\/2, -12?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -13*l**4 - 74*l**2*t + 2*t + 806 wrt l.\nAnswer: -52*l**3 - 148*l*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify h\/h**(2\/7)*h**(1\/4)\/h*h*(h**1)**(-6)*(h**0*h*h*h)**30*(h**0)**10 assuming h is positive.\nAnswer: h**(2379\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 9, -15.8, 22?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 545 a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*(1 + 4*sqrt(72)*1)*-3)**2.\nAnswer: 432*sqrt(2) + 10377","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, 0, 35, -4, 1\/2 in increasing order.\nAnswer: -4, 0, 1\/5, 1\/2, 35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 8, e: 2, q: 4, a: 2}. Give prob of sequence qd.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = 2*v. Let u be h(1). Solve u*t - 11 - 11 = 5*s, -3*t = -4*s - 19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 125611 and 938.\nAnswer: 117823118","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 100 and 800?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25 = 4*j - 3*k, 5*j - 37 = -2*k - 0*k for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 105\/(-245)*6\/(-297)*-3.\nAnswer: -2\/77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {j: 4, k: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -686612315*m + 61375002.\nAnswer: -686612315","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 3 - w**2 - 3*w + 1 + 7*w. Let f be m(4). Let 3*q**2 + q**2 - 11*q + 2*q**5 + 9*q - 4*q**f = 0. What is q?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51468?\nAnswer: 2, 3, 4289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -168*h*t**3 - 7*h*t**2 - h + 41*t**3 - 94*t**2 + 2 wrt h.\nAnswer: -168*t**3 - 7*t**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -892*v - 16 + 16 + 1784*v - 892*v + 24*v**2.\nAnswer: 24*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, t: 2, h: 5, i: 1, p: 1}. Give prob of picking 1 p and 1 h.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 73882929?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*k**2 + k**4 - 4*k**2 + (-2*k + 2*k - 2*k**2)*(-4*k**2 + k**2 + k**2) + 3*k**4 - k**4 - 3*k**4 + 5*k**4 - 3*k**4 + 4*k**4.\nAnswer: 10*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2021646 - 2?\nAnswer: -2021651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 312, -5, -4, 53, 16, 5 in ascending order.\nAnswer: -5, -4, 5, 16, 53, 312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -3*h**4 + 4*h**2 - 5. Let y(c) = 4*c**4 - 3*c**2 + 6. Let i(k) = -3*a(k) - 4*y(k). What is the derivative of i(j) wrt j?\nAnswer: -28*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 1\/8 (b) -0.5 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -9*c + 7. Let x be (-4)\/(-1) + 14\/(-2). List the prime factors of a(x).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (120\/(-108) - 6630\/(-6210))\/(-1*(-1)\/(-10))?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4 + -187131.63001865?\nAnswer: -187129.23001865","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*p + 3*p - 2*p)*(-3*p**4 + 3*p**4 - p**4) + p**5 - 3*p**5 + 0*p**5 - p**5 - 5*p**5 - 3*p**4 + 4*p**5.\nAnswer: -3*p**5 - 3*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q**3 + 2660*q**2 + 5308*q + 2652 = 0.\nAnswer: -663, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(1 + (2*sqrt(2205))**2 - (1*(-3*sqrt(2205) + sqrt(2205))**2 - sqrt(2205))).\nAnswer: -126*sqrt(5) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 102 is divided by 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**1*o)**36\/(o\/((o*o*((o\/(o*o**1*o*o*o))\/o)\/o*o)\/o))**(1\/72) assuming o is positive.\nAnswer: o**(5179\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13315510?\nAnswer: 2, 5, 13, 7879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 8d (base 15) in base 7?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6457453730?\nAnswer: 2, 5, 7, 13, 1013729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 v, and 1 d when three letters picked without replacement from vrmtd?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -3 + 3*x**2 + 702*x - x**2 - 702*x + 2 + 8*x**3. Let y(d) = -2*d - 20. Let w be y(-9). Let s = 3 + w. Give v(s).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -1\/2, -1\/4, -3\/8, 136?\nAnswer: 136","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 154975?\nAnswer: 5, 6199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 406 + 14. Is o a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 6*d - 12. Let b be w(0). Let p = -7 - b. Does 4 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1673835549643*t - 4*t**2 - 1673835549643*t.\nAnswer: -4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 35165300 to the nearest one hundred thousand.\nAnswer: 35200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 259395*h\/7 - 259398\/7.\nAnswer: 3*(h - 1)*(h + 86466)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 2 - 3*p + 5*p)*(-2 - 1 - 3) in the form v*p + w and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 2\/(-22)*(-28 - -33) and ((-5)\/15)\/((-30)\/459).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -10, 1.\nAnswer: -10, -2, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 19 - 14. Suppose n + 9 = a*v, -3*n - 2*v + 1 = 28. Find the common denominator of 39\/8 and n.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i - 3*r = -2*i + 14, -2*i - 4*r + 14 = 0. Let d = 13 - i. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**3 - 7*h**2 + 5*h + 7. Let f be p(-8). Let i(a) = -a**2 + 5*a + 2. Let w be i(5). Let j = w + f. Find the common denominator of -45\/7 and j.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1104 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -574917 + 134115 = 9*q. Is (-10)\/((27\/q)\/(1\/4)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -8*k**3 - 1549*k**2 + 5*k - 7. Let g(i) = -5*i**3 - 775*i**2 + 3*i - 4. Give -5*g(z) + 3*t(z).\nAnswer: z**3 - 772*z**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 20\/9 of a hour?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 122 = -5*y, 4*m - 2 - 6 = 0. Let j = y + -53. Let r = j - -101. Solve 3*x - 20 = -2*x, -4*v - r = -2*x for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/(-4))\/((-375)\/(-126) - 3). Let d = -36 - g. Suppose -2*k + 4*q + 198 = 0, -q = -5*k - 2*q + 539. What is the remainder when k is divided by d?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2003, 1999, 1985, 1955, 1903?\nAnswer: 1823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -8*h**2 + 11 + h**3 + 10 + h - 5 - 3*h. Let o be b(8). Suppose -l + 50 + 35 = o. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -2, -1868233 in decreasing order.\nAnswer: 5, -2, -1868233","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.104943 to four decimal places.\nAnswer: 0.1049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5288*i**2 - 5495*i**2 + 10781*i**2.\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/(4\/2) - -7. Suppose -z + 1 = 3*a - 2*a, 2*a - 2*z - 2 = 0. Suppose 3*c + a = s. What is the lowest common multiple of 8 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -32 + 55. Let y be -2 + q - (0 - -1). Let o = y - 12. Is 3 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 508*l - 2590.\nAnswer: 2*(l - 5)*(l + 259)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -2643, -2646, -2653, -2664, -2679?\n\"Answer: -2*t**2 + 3*t - 2644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**3 - 196*k**2 + 2156*k - 6860.\nAnswer: 4*(k - 35)*(k - 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -2*b**2 - 37*b + 22. What is h(-20)?\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -27*q + 79. Let k be w(10). Which is the closest to k? (a) -1\/3 (b) 5 (c) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2590c (base 16) to base 3.\nAnswer: -21211001211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = 2*i, -i - 4*t = -0*t. Suppose -2*r + 4*w + 26 = i, -2*r + 2*w = r - 19. Differentiate 5 - 4 - 6*a**3 + 2*a**r with respect to a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*n**2 + 5*n**2 + n**2 + (-189*n - 168*n + 202*n)*(2*n + 23*n - 11*n) to the form a*n + h + f*n**2 and give f.\nAnswer: -2169","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*a + 54*a = 55*a - 58656. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 41*v + 14401. Calculate t(-351).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z = 12*v + 19, 2*z + 11443*v - 12 = 11448*v for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2019 + 5609. What is v rounded to the nearest 100?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q = 13*q - 75 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 1, f: 11, q: 2}. What is prob of sequence fffm?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 1\/2, 1\/3, 0.655?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3\/182 - 569\/182. Find the common denominator of -139\/6 and b.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2)\/(-12))\/(3\/9)*-2*14.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1171 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (34\/8)\/(22\/(-44))*-156.\nAnswer: 2, 3, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 89874773.\nAnswer: 43, 2090111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 229.05 to the nearest integer.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 4*q - 20. Let f be g(18). Let o = 78 - f. Suppose -3*a - u = -o, 2*a - 2*u - 29 = -5*u. Calculate the remainder when 75 is divided by a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -53 + 59. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 305 is divided by 54?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 7\/(-5) + 8\/20. Suppose -12*m - 5*m - 8415 = 0. Let g = m - -492. Sort 3, -5, g, p in descending order.\nAnswer: 3, p, g, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 2*d - 10, 0 = 5*d - 20*t + 18*t + 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -164, -162, -160, -158?\nAnswer: -156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 292 minutes before 12:24 PM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 30545880 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -2, 1\/6, 8\/5, 61?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.36271 and 0.2.\nAnswer: -0.072542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the first derivative of h**5\/10 - h**3 - 2*h**2 - 3*h\/2 + 28. Factor x(w).\nAnswer: (w - 3)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -5542, -22336, -50386, -89692, -140254, -202072?\n\"Answer: -5628*a**2 + 90*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0, -2\/31, -0.6?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 6*a**2 + 6*a + 9. Let p be t(7). Suppose -505 = 3*h + p*h. Let d = h - -1109\/11. Which is smaller: d or 0?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1179)\/(-117) - 6*9\/702. Solve m*y + 101 = 51 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -123.09606 - -0.09606. Is -28 at most o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = -29 + 11. Suppose w + l = 11. Suppose b + 21 = w*b. Calculate the highest common divisor of 63 and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4537.00004887 + -4537. What is p rounded to five decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4 + 790*g**3 + 9355*g**2 - 10150*g.\nAnswer: 5*g*(g - 1)*(g + 14)*(g + 145)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 338056 (base 9) in base 6?\nAnswer: 4202253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 16\/(-320)*-50*-48*1\/(-10)\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 25395468 a multiple of 1743?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 2)*(-152010 + 152010 - 3548*m).\nAnswer: 3548*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -69589730 times 0.3\nAnswer: -20876919","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1525*q**4*u - 2*q**4 + 4*q**3*u + q**3 - 596*q**2*u - 59*q*u - 19*u + 2 wrt q.\nAnswer: -36600*q*u - 48*q + 24*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 32170551?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Let t = 5211 + -5204. Solve 0 = 3*l + b - 2*b + t, 2*l + 2*b + 18 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 79684 and 118228.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -360*d**3 + 75*d - 75. Let s(z) = 19*z**3 - 4*z + 4. Give -4*q(y) - 75*s(y).\nAnswer: 15*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is (3 - 13917\/6)*-2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2038 and 11?\nAnswer: -22418","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -5495*q**2 - 17. Let a(x) = x. Give h(a(t)).\nAnswer: -5495*t**2 - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*h + 469 - 441. Put 9, 2\/5, h, -2.5 in descending order.\nAnswer: 9, h, 2\/5, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51*-17337\nAnswer: -884187","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 - 651?\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257*n**2 - 210 + 210.\nAnswer: 257*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) be the first derivative of -p**4\/4 + 7*p**3\/3 - 2*p**2 - 5*p + 64. Give y(5).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 2*y = -15, 10*y - 13*y = 2*q - 34. Calculate the remainder when 87 is divided by q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + 3. Suppose -r = -4*r - 57. Let u = 44 + r. Solve -5*f + u = -z, -v = -4*f + 2*z - 7*z for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 526 - 485. What is the remainder when 242 is divided by a?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -10 - (-14 + (-75)\/(-30)). Which is the biggest value? (a) 4.2 (b) -24 (c) 0.5 (d) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -0.0273?\nAnswer: -0.00819","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.18 + -10.92. Let p = 11 + l. Is p < -0.04?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/52 and -5\/17651708?\nAnswer: 229472204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gg when two letters picked without replacement from ggqgogggg.\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - 5*c + 230, 2*c + 5 = 1. Let r = i + 83. What is the units digit of (-10)\/r - (-44)\/7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*k**2\/7 + 2164*k\/7 - 2166\/7.\nAnswer: 2*(k - 1)*(k + 1083)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 261 is divided by 71?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -35*(238\/(-408))\/7*(-16)\/30?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3 + 8. Suppose -h*t = 2*r - 4 - 52, t = 2*r + 16. Suppose -2*o + 10 = -t. List the prime factors of o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 11:59 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 1715566610 a multiple of 865?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2860*g - 2859*g + 0 - 2 = 0, -13*d + 2*g + 100 = 0 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.467378431366 and 0.3.\nAnswer: -0.167378431366","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -18, 0.4, 2\/7 in descending order.\nAnswer: 0.4, 2\/7, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*z - 18, 196*z = -3*m - 202*z - 198*z + 601*z + 24 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a hour in seconds?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: ((684\/133)\/12)\/1\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y + 3*g = 169 + 2702, -4*g + 4304 = 3*y. Suppose -4*z = -y - 100. List the prime factors of z.\nAnswer: 2, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o - 29000 = 379721 - 90505. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.1 + 14.1. Let h = 13.00068 - b. What is h rounded to four dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 45 + -25. Suppose -n = -3*o - o. Let b(h) = 37*h**2 - 6*h - 6. Is b(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49\/2*h**2 + 1\/2 + 7*h.\nAnswer: (7*h + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 285, 566, 857, 1158, 1469, 1790?\nAnswer: 2121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 138 + 2. Let h = -86 + b. Is 9 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4\/(-48)*-4)\/(26\/(-624))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 102\/34 + 6\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1214\/5 - 242. Let i = -7.0269 - -0.0269. Which is the second biggest value? (a) m (b) -4\/5 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the second derivative of x**6\/15 - 3*x**5\/20 - 7*x**4\/4 - x + 47. What is the third derivative of k(i) wrt i?\nAnswer: 48*i - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 4*m - 1. Let g be l(2). Suppose -2*s - g = 3. Let p = -199.8624 - -200.2624. What is the smallest value in s, -0.5, p, -1\/5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 0.399711 milligrams?\nAnswer: 0.000399711","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 52944392 to the nearest integer?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -40 + 28. Let q = 18 + x. Differentiate 1 - q - c + 3 wrt c.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51 = 5*o - 604. Suppose -637 = -8*v + o. Let r = v - 5. What are the prime factors of r?\nAnswer: 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 4 and 105843?\nAnswer: 105839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*k + 91 + 167 - 399 + 143.\nAnswer: -6*k + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 143 - 142.9999848. What is t rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 3\/19 (b) -2\/9 (c) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 c when two letters picked without replacement from ffgftjccfcifcfj.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.302 and 295?\nAnswer: 384.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = c**3 + 9*c**2 - 19*c + 19. Give g(-11).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 30438660?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -3*z - 5*z + 9*z. Solve 5*h = 2*g - 33, 39*g - 3*h - 27 = z*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -438740 and -32028047\/73 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -15, -109, -361, -849, -1651, -2845, -4509?\n\"Answer: -13*t**3 - t**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67611780?\nAnswer: 2, 3, 5, 125207","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = u**2 + 148*u + 1256. Let l be s(-139). Solve 5*z - 6 = -4*a - 0, 2*z - l*a = -24 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -22\/23 (b) 5 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -71 and 0.005.\nAnswer: -70.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-3 - -47 - (28 + 23 + -44)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 310 + -309.754. Let q = -0.646 + i. Which is the fourth biggest value? (a) 5 (b) q (c) 3\/2 (d) -7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -3*m + 4. Let f(s) = -8*s + 9. Let h(u) = 4*f(u) - 11*n(u). What is h(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 27851304 is divided by 8761?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do -7616 and 617 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 34892 and 91988.\nAnswer: 1011868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2*c)*(2*c**3 + 0*c**3 - c**3) - c**4 + c**4 - c**4 + 2*c**4 - c**4 - 8*c**4.\nAnswer: -6*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -590929 + -9?\nAnswer: -590938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 113647938?\nAnswer: 2, 3, 18941323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1175.7741 - -0.2259. Let u = l + -1171. Let z(p) = -2*p - 5. Let r be z(-4). What is the closest to -3 in -0.5, r, u?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1705695433 divided by -13.\nAnswer: -131207341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 f when three letters picked without replacement from fmmffffffffffffffmff?\nAnswer: 34\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*t - 100*t = 39*t - 8160. What is the smallest common multiple of t and 100?\nAnswer: 5100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 226*f + 69*f = 86*f - 194845 + 202369 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (15 + -8 + -6)*5*209. Suppose 17*d - c = 12*d. Calculate the greatest common divisor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11465*d = -3*x - 11468*d + 15, -4*d = 3*x - 17 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -793 or 365?\nAnswer: -793","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -5*w - 5*k, 5*k + 62 = w - 0*w. 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: Let a be 96\/(-36) - 1\/3. Does 8 divide a + 6 - 4 - -59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-2\/3))**(-45)\/(g**(-5)\/((g\/(g\/((g*g*g\/((g*g**(-8)*g*g*g*g)\/g))\/g)*g))\/g)))\/(g**4*g*g\/g**3)**(2\/29) assuming g is positive.\nAnswer: g**(1125\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 610\/3 - 203. Let w be 16*(1\/6)\/(-1). Let s = w - -68\/21. Which is smaller: r or s?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3, -716, 83.\nAnswer: -716, -5, -3, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 476 = 112. Let h(s) = -19*s - 643. Calculate the remainder when z is divided by h(-36).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 223 - 0?\nAnswer: 223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -967*j + 3798*j + 20*j + 4781*j.\nAnswer: 7632*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express ((h + 0*h + 0*h)*(-1 + 2 - 2) - 50*h - 24*h + 27*h)*(23*h**3 + 12*h**3 - 7*h**3) as a + c*h + x*h**4 + r*h**2 + q*h**3 and give x.\nAnswer: -1344","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -1\/5, -0.4, 2\/5, 8\/35, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -165, -4, -1, 40, 43, -5 in increasing order.\nAnswer: -165, -5, -4, -1, 40, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 + 22 = 16*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 4*m**4 + 592*m**3 + 20964*m**2 + 19208*m - 40768 = 0.\nAnswer: -91, -56, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 48.6 and 14?\nAnswer: 680.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 144 and 59484798?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -196, -707, -1556, -2743, -4268, -6131?\nAnswer: -8332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 568 minutes before 6:46 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -36731, -73461, -110191, -146921, -183651, -220381?\nAnswer: -257111","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many weeks are there in 660.99999 hours?\nAnswer: 3.93452375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + c + 16 - 4 = 2*v, 0 = 18*v + c - 93 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 u when two letters picked without replacement from ulwlwwwlwwllulwuluwu?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -746*j + 374. Let s(q) = -274*q + 125. Calculate 3*a(t) - 8*s(t).\nAnswer: -46*t + 122","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -225694 divided by 686.\nAnswer: -329","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-40)\/(-3))\/((-12)\/(-18)). Suppose 0*u + k = 3*b + 4*u, -2*u + 10 = -3*b. Suppose b = -0*h + 7*h - 28. Solve -h*j + j - 15 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*g + 2*g = -276. Suppose 672 = -38*s + g*s. What is the highest common divisor of s and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-2*5*(-339)\/(-565)\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let 3\/2*b**2 + 9\/2*b**3 + 0 + 0*b + 3*b**4 = 0. Calculate b.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -3. Calculate the remainder when h is divided by 11.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -29? (a) -1 (b) -15.5 (c) 2\/11 (d) 1 (e) 0.023\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v and 1 c when four letters picked without replacement from {v: 6, c: 2, f: 1, r: 3}?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 5 = -u, -3*n - 10 = -5*u - 5*n. Let h = -5 + 9. Suppose -h*y + u*y = -8. Solve 1 = 3*a - y*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 21 + -17. Let c(x) = -4*x - x**3 - 5 + 5*x**2 + 2 + x**2. What is the remainder when c(f) is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0409608532 to six decimal places.\nAnswer: -0.040961","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*d**3 + 36*d**3 - 22*d**3.\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -9949, -19908, -29867, -39826, -49785?\n\"Answer: -9959*t + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26 = 4*z + 10 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2297 + 2296.8. Which is the closest to -1? (a) r (b) 3\/8 (c) -68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-12)\/15 - (-4)\/(-20))*1\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-4))\/(342\/304)?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 14163 - -15255?\nAnswer: 31440","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 29 - 13. Calculate the lowest common multiple of 14 and m.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16856*s - s**2 - 16856*s + 2389 in the form h*s**2 + z + a*s and give z.\nAnswer: 2389","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 3*x + 2*x - 21, 0 = 2*f - 2*x. Suppose f*o - o - 4 = 0. Suppose -o*g + 40 = 2*l + l, -2*l = -3*g - 18. List the prime factors of l.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 20 = -h, 4*h = 2*h - 3*p + 31. Let k(n) = -7*n + 52. What is k(h)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26547066 divided by 10374.\nAnswer: 2559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 3\/5 - (-2 - (-1976)\/10). Let b = -445 - j. Calculate the common denominator of -103\/14 and (b\/8)\/((-4)\/(28\/21)).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*z**2 + 127 + 550*z - 63 - 64.\nAnswer: -12*z**2 + 550*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -117*p**2 + 30*p + 58. Give r(-2).\nAnswer: -470","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhxb when four letters picked without replacement from {h: 3, b: 5, x: 2}.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 847 - 837. Let n(s) = s**3 + 3*s**2 - 11*s - 5. Let g be n(-5). Solve -2*c + g + p = 3*x, 3*x - 20 = -4*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-4\/5)\/(w**(-7)*w)*((w*w*(w*w*w**11)\/w*w)\/w)\/(w\/(w*(w**(-26)*w)\/w)) assuming w is positive.\nAnswer: w**(-34\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of t*x*y - 966*t*x + 8*t*y + t - 152583*x*y - 765*x - 27*y wrt y?\nAnswer: t*x + 8*t - 152583*x - 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 436591?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -73337000*r**6 - 2580405*r**2 + 6 wrt r.\nAnswer: -8800440000*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/8 - (-27)\/(-12). Let m = -83 + 83.2. Which is the nearest to 1? (a) m (b) -1 (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 342 minutes before 11:33 AM?\nAnswer: 5:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -5*i + 4*h - 2*h, 5*h + 12 = -4*i. Suppose -10*g + 26 = 3*g. Suppose g*q - k - 16 = 0, 9*q + 16 = 11*q + k. Solve 0 = i*b - 4 + q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 0*j**2 - 83 + 0*j - 2*j - 2*j + 3*j + j**2. Is z(39) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.33772*-10692.\nAnswer: 3610.90224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 6*p**2*x**2 + 134*p**2*x + 2*p**2 + 2*p*x**2 - 679*p*x + 129*x**2 wrt x?\nAnswer: 12*p**2 + 4*p + 258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.177014us to milliseconds.\nAnswer: 0.002177014","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2327020?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x + 40. Let t be z(15). Suppose -t*u + 40 = -8*u. What is the highest common factor of u and 60?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(567).\nAnswer: 45*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 421*k - 414*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 47? (a) -5 (b) -0.2 (c) -5.9244 (d) 1\/3 (e) 1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -416, -414, -412, -410, -408, -406?\nAnswer: -404","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**0*a)**(-1\/10))**0 assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 9.972903g?\nAnswer: 9972903","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times 32612\nAnswer: -9783.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13, 21, 103, 257, 507, 877?\nAnswer: 1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 3. Let m be q(5). Suppose 7 = 2*l - 13. Let z(u) = u**3 - 9*u**2 - 10*u + 14. Let d be z(l). What is the highest common divisor of m and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1594953710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -18, -2, 2 in decreasing order.\nAnswer: 2, -1, -2, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 + 97*v**2 - 95*v + 306. What is c(-98)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1122 is divided by 259.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 449 - 455. Let j be (-27 - -26)\/(1 - (-8)\/q). What is the greatest common factor of 3 and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -41*w - 18 + 141. Solve -3*z = 3*s - 4*z - 5, 0 = -5*s - w*z + 13 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 62255.86 millennia in centuries?\nAnswer: 622558.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 766 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -9*l**2 + l + 1. Let j be p(2). Let t = 32 + j. What is the units digit of (-4)\/(-2)*(-34)\/t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 106, 5, -4 in increasing order.\nAnswer: -4, 5, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t + 16 = 0, -4*o = o - 2*t - 892. Suppose 4*x - x + g = o, -3*g - 192 = -3*x. Is 14 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -12641, -12638, -12635, -12632?\n\"Answer: 3*w - 12644","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**5 + 405*n**4 - 9440*n**3 + 25140*n**2 + 764320*n + 1942080 = 0 for n.\nAnswer: -4, 21, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -25632320?\nAnswer: 25632323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33701710 is divided by 109067.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -6, 20, -21974 in ascending order.\nAnswer: -21974, -6, -1, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 636, 1275, 1914?\n\"Answer: 639*m - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = 3*d. Let o(z) = -74725*z. Calculate o(q(x)).\nAnswer: -224175*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -25 + -13 + 31 + -8.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 229648 from -1.\nAnswer: -229649","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -830 by -362.\nAnswer: 415\/181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(((-3)\/4)\/(-3)). Suppose 1071*u - 1019*u - 208 = 0. Factor 6*c**3 - c**4 + c**3 - 10*c**2 + g*c + c**3 - c**u.\nAnswer: -2*c*(c - 2)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -208*f**3 - 56*f**2 + 56*f + 56. Let c(m) = 11*m**3 + 3*m**2 - 3*m - 3. Give -112*c(a) - 6*d(a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 217 and 70?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 17237636 divided by 226811\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.16 - 6211168697?\nAnswer: -6211168689.84","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002098 to 4 decimal places.\nAnswer: 0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j + 220 - 200 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/(-6)*(1 + -19). Let l(x) = 2*x + 15. Let n be l(s). What is the units digit of 0\/n - (1 + -10)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 19, 48, 85, 124, 159, 184, 193?\n\"Answer: -w**3 + 10*w**2 + 6*w + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -322 - -321.20605. Round l to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 l when three letters picked without replacement from hmlllmlmllhe.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -115*c**2 - 105*c**2 + 225*c**2.\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -9698*j**2*u*x**2 + 48*j**2*x - 4*j**2 - 19*j*x**2 - j*x + u*x**2 wrt u.\nAnswer: -9698*j**2*x**2 + x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vdd when three letters picked without replacement from {s: 1, v: 8, y: 2, d: 3, x: 1, b: 2}.\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 11*w = -5. Find the second derivative of 8 - 9*d**4 - w + 14*d - 7 wrt d.\nAnswer: -108*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -4 + sqrt(80) + (sqrt(25)*2)\/sqrt(5) + sqrt(5) + 2)**2.\nAnswer: -14*sqrt(5) + 246","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**2 - 11*v**3 + 29*v**3 - 16*v**3 + 8 + v. Let y be u(0). Calculate the greatest common factor of 32 and y.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1354*j**2 - 139 + 1354*j**2 + 2*j**3)*(2*j + j - 2*j)*(-5 - 18 - 11).\nAnswer: -68*j**4 + 4726*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times -25.9\nAnswer: -5.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 50321?\nAnswer: 50321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -4983 + 89773\/18. Suppose -4*x + 3894 = -g - 0*x, -x = 4*g + 15542. Let j = g - -15627\/4. Find the common denominator of j and d.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 178, 338, 508, 694, 902, 1138, 1408?\n\"Answer: b**3 - b**2 + 156*b + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/11, -0.01, 5, -2 in increasing order.\nAnswer: -2, -4\/11, -0.01, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 8*v + 96. Let k be j(-12). Sort -4, k, -5, 4.\nAnswer: -5, -4, k, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the third derivative of -k**6\/120 + k**5\/12 + k**2 + 5235. What is v(4)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 5*m**3 + 695836*m**2 + 139163*m - 556668 = 0.\nAnswer: -139167, -1, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*r - 500 - 776 = 854. Solve 15*c - 50 = r for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = -2*g + 11202, 0 = 5*g + 3*v - 11887 - 16118. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 5)*(-9*z - 8*z + z) - z + 0*z - 1 + 5 to j*z + p and give p.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - 0 - 2*-1. Suppose -5*s + v + 1 = -0, 0 = s - v + g. Let b(k) = 5*k. What is b(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 1818*x - 10. Let p be g(-5). What is p rounded to the nearest 1000?\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 5.31319.\nAnswer: 1.31319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -40.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the first derivative of 2*u**3\/3 - 9*u**2\/2 + 6*u + 25. List the prime factors of n(-7).\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 789968.\nAnswer: 2, 97, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3511 - 383.6823?\nAnswer: 3127.3177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 314, 315, 316, 317, 318, 319?\nAnswer: 320","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 286 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: Find l, given that 3*l**3 - 2496*l**2 + 9900*l + 29808 = 0.\nAnswer: -2, 6, 828","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -2*i**3 + i**2 - i - 1. Let y be v(-1). Suppose 0 = g - y - 0. Suppose 4*s + 3 = -1, g*z - 44 = -4*s. Is z a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*m - 3*m - m)*(-3 + 5 - 3).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) + (-82)\/(-6) + -8 + 8\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -9.4 - -9.2. What is the third biggest value in 1\/24, v, 4?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:55 AM and 10:34 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 54*w**2 + 794*w - 235. Give b(-15).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -74 (base 9) in base 4?\nAnswer: -1003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-98830)\/(-31) - 24\/372?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*y = 24 + 60. Suppose 0 = -y*g + 971 + 631. Is 13 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n**2 + n**2 - n**2)*(-n - 3*n + 0*n)*(n + 0*n + 3*n).\nAnswer: 32*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -6\/4729 != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 34003 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-4*1 + 5\/(-5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (3 - 4)\/(3\/(-23688)). Suppose -2*m - t = -5*k, -2*m + 1711 = 3*k - 3033. Suppose 0 = -5*s, -5*s = -4*d - 0*s + k. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000019 to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 2*z + 0 - 5*z + 3*z**2 + 1. What is the smallest common multiple of j(2) and 3 - (-2)\/(-3)*-12?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 68*c**2 + 58*c - 613. What is a(-67)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.7 - -0.8. Let q = -0.9 - n. Let c = -8 + 7.7. What is the third biggest value in q, 0.3, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -66, -273, -778, -1731, -3282, -5581, -8778, -13023?\n\"Answer: -25*o**3 + o**2 - 35*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of -k**3\/3 + 9*k**2\/2 - 14*k + 20. Let b be a(6). Sort -3, 5, 0, b in decreasing order.\nAnswer: 5, b, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (2 + -5 - -5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1489?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 19*u + 64. Let o be z(-3). Let a(m) = 2*m**2 - 9*m - 2. What is a(o)?\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o\/((o\/(o*o**(-6\/11))*o)\/o))\/((o\/((o*o\/(o**(-14)\/o))\/o*o))\/o))\/(o\/(o\/(o**(-3\/2)*o))*o*o*(o*((o**21\/o)\/o)\/o*o)\/o) assuming o is positive.\nAnswer: o**(-45\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 1140694936 divided by 4\nAnswer: 285173734","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -221 (base 10) to base 2\nAnswer: -11011101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/(3\/3) + 4. Suppose c = -q - 4*q. Let t be q\/3 + (-304)\/(-12). Solve t = y - 6*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*((-3*sqrt(637) - sqrt(637)) + 5 + -4*(-2 + sqrt(637)))*-1.\nAnswer: -56*sqrt(13) + 13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -721869 or -721871?\nAnswer: -721869","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 times 0.471?\nAnswer: -17.427","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2430 + -1350. Suppose -14*s + 4*s + z = 0. Suppose -17*y + 13*y + s = 0. What is the highest common divisor of y and 18?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) be the first derivative of 0*u + 2 - 1\/3*u**6 + 0*u**3 + 0*u**5 + 3\/2*u**2 + 0*u**4. What is the second derivative of a(n) wrt n?\nAnswer: -40*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 151 bigger than -1\/8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -23 + 2024?\nAnswer: 2001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3\/2713693 or 0?\nAnswer: -3\/2713693","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*r + 38*r - 164*r + 71*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -2*r**3 - 17*r**2 - 32*r - 62. Let w be m(-7). Solve -x + 2*h + 10 = 3*x, 5*x + 3*h = -w for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*i = 15, -2*y + 6 = -15*i + 19*i. Solve -y*a + 18 = -3*b, 524*b - 4 = 522*b - 2*a for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 53707?\nAnswer: 43, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 171224816?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2432*z**5 + 8708*z**2?\nAnswer: 145920*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 10, -0.2, -2\/195?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -152000 to the nearest ten thousand.\nAnswer: -150000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -9*g + 113. Determine t(10).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 8, -5*c + 0*h = -2*h - 23. Suppose -5 = -c*u - p, 0*p - 3*p = -2*u + 7. Solve k + u = 1 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 244 - 248. What is the closest to -1 in c, 5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 213*b**3 + 15117*b**2 - 426*b.\nAnswer: 3*b*(b + 71)*(71*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3378, 26, -4, 47.\nAnswer: -3378, -4, 26, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 43.4 and -9.51?\nAnswer: -412.734","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (25\/(-5))\/(-15) - 124\/(-6)?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(5*-5*sqrt(297))\/sqrt(9))\/(5*-2*sqrt(1331)*2).\nAnswer: 5*sqrt(3)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*h - 20 = -18*h. Put 2, h, 63 in ascending order.\nAnswer: h, 2, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 5*z - 47. What is the least common multiple of 16 and z?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 24 = -9. Let m = 8 + f. Let i be 5*(8\/10 + 0). Solve 2*b - j - 4 = b, -i*j = m*b - 20 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that 3*x**2 + 137059215*x + 274118418 = 0.\nAnswer: -45686403, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0.3 (b) -1 (c) -4\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84*(-450)\/(-800) + (-27)\/36.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -169, 26645, 4 in ascending order.\nAnswer: -169, 4, 8, 26645","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 37 - -13. Let k = 161 + r. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -4*k - 84. Let t = 24 + k. Let y = 0.6 - 0.8. Sort t, -5, y in descending order.\nAnswer: t, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -12, -41, -82, -129, -176, -217, -246, -257?\n\"Answer: m**3 - 12*m**2 - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.056741 times -0.5?\nAnswer: -1.0283705","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r = 3*q - 15, -12 = -3*q - 2*r + 2. Solve -14*y - q = -10*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 17*n**2\/2 - 104*n - 155. Let r be q(7). What is the highest common divisor of r and 375?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 336178.3 millennia?\nAnswer: 3361783","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 - 13*t - 19. Let z be (9\/18*2)\/((-2)\/(-26)). Determine b(z).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.3, -2274569, 0.2, -5\/3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98775698 is divided by 6031?\nAnswer: 6011","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3649224258?\nAnswer: 2, 3, 2729, 24763","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*a + a. Let z be (0 - 1)\/(-1) - (-2 + a). Sort 0, z, -4 in descending order.\nAnswer: z, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -0*z - z + 11, 2*d = -8. Let f(g) = g**3 - 4. Let i(m) = -1. Give z*f(o) + 3*i(o).\nAnswer: -o**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 266492952, 266492953, 266492954, 266492955?\n\"Answer: a + 266492951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 22 - 1404?\nAnswer: -1372","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(18)*2*-5)\/(sqrt(45)\/(-1*sqrt(5) - sqrt(5))).\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (2 - 204\/105)\/((2112\/(-231))\/(-16)). What is the nearest to -2\/15 in -5.9, 0.4, g, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 743800 rounded to the nearest 100000?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 3*f - 2*f + 6*f)*(-f + 3*f + f) + (3*f - 2*f - 3*f)*(-f + 0*f - f).\nAnswer: 7*f**2 - 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*a - 1308 = 41*a - 15*a + 5*a for a.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (12\/18)\/(1\/6). Suppose -n*g + 7 = -5*g. Let z be (-2)\/g - 150\/35. Put 0, -3, z in decreasing order.\nAnswer: 0, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1488 divided by -62?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-1 - 0)\/((-3)\/141)?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the second derivative of 13*s**3\/3 - 1271*s. Let u(c) = 6*c**2 + c. Determine u(l(t)).\nAnswer: 4056*t**2 + 26*t","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: What is next in -3212, -12587, -28218, -50117, -78296, -112767?\nAnswer: -153542","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3.6 + 4.1. Let u = 5 + -5.03. Let v = u - 0.37. Which is the smallest value? (a) 3 (b) v (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 4*p**2 - 6*p - 2. Let w be c(5). Let m = 9 + w. Suppose 0 = 3*f + m*f + 20. Is -3 != f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 200049 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 73, -7, -1, -5, -18 in increasing order.\nAnswer: -18, -7, -5, -1, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3034 and 7622?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -16*v + 7. Let j(n) = -n + 2. Let o(y) = b(y) - 4*j(y). Let l(s) = -3*s. Determine l(o(t)).\nAnswer: 36*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 3*c = -93, c = -4*v + 2*c + 124. Suppose -1547 = 24*u - v*u. Does 29 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/2040 and -73\/246075.\nAnswer: 1968600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = q**2 - 6*q - 2. Let d be b(3). Let v = d - -16. Let k = v + -29\/6. Which is smaller: 2\/5 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1119 + -2\nAnswer: 1117","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 + 13*w**2 + 41*w + 38. Calculate d(15).\nAnswer: 203","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2996158.\nAnswer: 2, 11, 136189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p - 7. Let b(y) = -2 + 4 + 7 - 8. Let q(r) = 24*b(r) + 3*g(r). Let f(n) = -2*n + 2. Suppose 3*k - 3 = 6. Calculate k*q(l) - 5*f(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the third derivative of d**6\/1260 - 2*d**5\/105 + d**4\/12 - 10*d**3\/63 + 17*d**2. Find l, given that u(l) = 0.\nAnswer: 1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.387, -0.5507, -5 in descending order.\nAnswer: 0.387, -0.5507, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 501 and 5.\nAnswer: 2505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 14*t**3 + 3*t**2 + 20*t - 3. Let k(p) = -28*p**3 - 5*p**2 - 39*p + 5. Let s(x) = 3*k(x) + 5*v(x). What is the second derivative of s(b) wrt b?\nAnswer: -84*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 20*m*n**3*v + 646*m*n**3 - 3*m*n - 807*m*v - n**3*v - 4*n**2*v wrt n?\nAnswer: 120*m*v + 3876*m - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 981, 2003, 3025, 4047, 5069?\n\"Answer: 1022*q - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-5)\/(-20))\/(3\/456). Suppose q = 4*m - 42. Solve x - m = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i - 2*o + 52, 0 = 5*i + 5*o - 90 + 5. Calculate the remainder when 34 is divided by i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-three quarters of a kilogram in grams?\nAnswer: 13250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 4*q**2 - 2*q**3 - 2\/3*q**4 + 16\/3*q = 0. What is q?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(68) + sqrt(68) + -1 + sqrt(68))**2.\nAnswer: -12*sqrt(17) + 613","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the second derivative of 5*w**4\/12 - 12*w. Let x(u) = -3*u. Determine x(f(y)).\nAnswer: -15*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16137 is divided by 204?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes after 4:26 PM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 40882075 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11121 (base 5) to base 7.\nAnswer: 2202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w + i + 13, 5*i = 4*w - 2*w. Suppose -2*c = -w*p + 55, -4*p + 0*p - 4*c = -44. Let d = 0 + p. Is 11 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 + 581*j**3 - 310*j**3 + 794*j**3.\nAnswer: 1065*j**3 + 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 790*i - 1211*i - 6719 - 151813 = 1981*i for i.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -4*u + 65300. Suppose 0 = 7*g - 2*g - 3*v + 3, v = 2*g + 1. Let f be c(g). Round f to the nearest one thousand.\nAnswer: 65000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.02 (b) 2\/7 (c) -0.5 (d) -0.09 (e) 0.5 (f) 1.6 (g) -49\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 777.\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -90771*h**2*j - 11*h**2 + h*j + h - 77712302*j wrt h.\nAnswer: -181542*h*j - 22*h + j + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 5*r = 4*m - 4, -5*r + 8 = -3*m. Let j be (2 + (-6)\/4)*8. Solve 4*n = -j - m for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 54 * 2.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Are 2\/140165 and -1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g - 1. Let h(k) = -2*k + 1. Let n = -321 + 318. What is n*l(w) - 2*h(w)?\nAnswer: w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 3) in base 10?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*d + 136*h = 140*h + 21, -4*d + 4*h - 12 = 0 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**4 - 2*x**3 - 7*x**2 - 4604*x?\nAnswer: 36*x**2 - 12*x - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*g**3*x + g*x + 2*g - 35*x wrt g.\nAnswer: -426*g*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 140 = -3*d + 197. Let z = 16 - d. Is z > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2037.13 plus 12?\nAnswer: -2025.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -409 - -223. Let z be (2\/(-4))\/(1\/x). Is z*1 - (2 - 4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 220 + -105. Let g = c - 29. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 1958*n - 1447. Is 20 a factor of l(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-34)\/(-1020) + 2918\/(-60) - (-120)\/(-50)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -97*i + 14 + 202*i - 102*i. Let x be y(-5). Let v = -2 + 1.9. Which is the nearest to x? (a) v (b) 0 (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of w**5 + 2*w**4 + 11650*w**3 + w**2 + 23547.\nAnswer: 60*w**2 + 48*w + 69900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 147859 + 55509\nAnswer: 203368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2*y)*(84 - 84 + 20*y)*(0 - 1 + 0) - 2*y**2 + 4*y**2 - 4*y**2.\nAnswer: -42*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -5*m - 48. Let r = -23 - -11. Let p be i(r). Solve 4*s + 4 = -2*t - p, -2 = -t + 3*s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 130.084971 to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*u = 91*u - 78 for u.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 6945363?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -6 - (-5 + -10)\/((-3)\/(-3)). Let r(x) = -x**2 + 4*x. Give r(b).\nAnswer: -45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(330))\/sqrt(6) + sqrt(55))\/sqrt(11).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -78592*l**3 - 18*l**2 + 100*l + 1.\nAnswer: -471552","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of 5\/2*y**2 + 1\/3*y**3 - 3*y + 1. Let b = 4 - 9. Calculate g(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/((-1)\/(3\/(-3))). Let n(c) = c**3 + 6*c**2 - 7*c + 5. Let s be n(b). Find the second derivative of 7*r**s + r + r - 8*r**5 wrt r.\nAnswer: -20*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 10, 34, 68, 112, 166?\n\"Answer: 5*a**2 + 9*a - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 145677647 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -3*v**2. Let d(s) = 294*s - 316*s + 4 - 4. Determine d(u(p)).\nAnswer: 66*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 - 20 = -u - 3*b, -36 = -u + 5*b. Solve -44 - 19 = -u*n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1701 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -129655, -259277, -388899, -518521, -648143, -777765?\n\"Answer: -129622*x - 33","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 3551164 a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2064*k + 134146. What is w(-65)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0222994 to 3 decimal places.\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -2978661.6 to the nearest 10000.\nAnswer: -2980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2170 and 1137242750.\nAnswer: 2170","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -494368 divided by -70624?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = r**3 + 6*r**2 - 6*r + 2. Let i be n(-7). Suppose -2*l - 12 = -84. Let v be (-6)\/l*24\/(-3). What is the biggest value in v, i, 0.1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 17*r**2 + 7*r**2 - 24*r**2 - 4*r**3 + 21*r**2 + 3*r**3 - 18 - 67*r. Give g(17).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 172 = 5*a, -2*a + 2*z = 3*a - 188. Does 9 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 9740312 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n + 2. Let j(s) = 9*s + 17. Calculate 6*j(b) - 51*v(b).\nAnswer: 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -252558764*v*z**3 + z**3 + 190765100*z**2 wrt v?\nAnswer: -252558764*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g. Let c(w) = 6*w - 1. Suppose 3*h - 8*h + 5*j = 5, 0 = -3*h - 2*j + 12. Let z = -1 + h. Let q be -2*1\/(-2) + z. What is q*c(s) - 3*b(s)?\nAnswer: -3*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 7. Let r be 4\/10 + (-6)\/15. Suppose r*n + n - k = 0. What is the remainder when 22 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 116882063?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3.14 - 319.14. Let s = z - -315.999306. Round s to four decimal places.\nAnswer: -0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 + -1*-1*18. Suppose 2*q + o = -4*b, -b = -3*q - 1 - 8. What are the prime factors of (-1 - q) + 85*1?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*w + 3 + 60 = 0. Suppose 0 = -4*o + w + 31. Solve 4*d - 2*n + 4 = 0, -2*n = 2*d - 6*n - o for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a litre in millilitres?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of d**3*x**3 - 9*d**3*x**2*y + 227*d**3*y**2 + 2*d*x**3*y + 7*d*x**3 + 2*x**3*y**2 wrt y.\nAnswer: 454*d**3 + 4*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of -v**4\/12 + 5*v**3\/6 - 3*v**2\/2 - 2*v - 2. Let k(f) be the first derivative of d(f). Suppose r - 5 = -0*r. Give k(r).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6424 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 - m**2 + 5*m + 6. Let x be y(-2). Suppose 4*r - 56 + 36 = x. Suppose 453 = 4*h - 13*z + 8*z, 3*h - 341 = r*z. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24141 is divided by 23.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -144196\/33055 + -4\/3005. Calculate the common denominator of u and -21\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -5 + 19 + (-7 - 0) + 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -9. Let d(x) = 2*x**2 + 2*x + 1. Let u be d(p). Suppose -2*b = -4*b + 34. Solve -4*f + b = u for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13441 (base 5) to base 16\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (152 - 152 - 15*z)*(-13*z**4 + 7*z - 7*z + (2 - 2 - z**4)*(1 - 5 + 2)).\nAnswer: 165*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8883)\/143397*18\/28*(-20)\/30?\nAnswer: 3\/113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 43141514 and 68346.\nAnswer: 388273626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-240)\/(-55))\/(54\/2376). Calculate the greatest common divisor of 768 and x.\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 34580 and 1820.\nAnswer: 34580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.919 + 0.051. Round g to one dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 146844*t**2 + 131*t - 90144318.\nAnswer: 293688*t + 131","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -59*d + 52*d + 35 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 11:39 PM?\nAnswer: 1:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31 - -32. Suppose a + a - 6 = -2*z, 3*a - o = z. Let x(b) = 5*b**2 + b - 2. Let t be x(-2). Solve -4*n - 4*y = -t, n + 7 + a = 3*y for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 40 divide 4120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 322, 1158, 2574, 4582, 7194, 10422, 14278, 18774?\n\"Answer: 2*h**3 + 278*h**2 - 12*h + 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3845011?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 + 0 - 1)*(2*n - 1 - 2 + 9).\nAnswer: 10*n + 30","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (73 + 2066\/(-28))\/(1\/4).\nAnswer: -22\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 25*b + 142. Let n(z) = -3*z**3 - 26*z**2 - 15*z + 2. Let c be n(-8). What is f(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 8583 by -6.\nAnswer: -2861\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = s - 3*o - 3576, -5*o = 0. Suppose 65*g - s = 61*g. What are the prime factors of g?\nAnswer: 2, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = c**2 + 5*c - 6. Let d(v) be the third derivative of -v**5\/15 - v**3\/6 - 14*v**2. Let q be d(1). Give m(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 72.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.4 (b) -6 (c) 1\/3 (d) -1015\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 39*v**3 - 27*v**2. Let b be 2\/11 - (6 - (2032\/(-44) + -2)). Let w(c) = 3*c**3 - 2*c**2. Determine b*w(d) + 4*m(d).\nAnswer: -6*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/(-2)*11362\/(-39) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 994 * -457.5\nAnswer: -454755","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + sqrt(95)*-1 + sqrt(95))\/sqrt(5)*4)**2.\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 1310 = h, 3*h + z = -0*h + 3920. Let m = -14398\/11 + h. Find the common denominator of 35\/9 and m.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(2916) - sqrt(36))\/sqrt(12)*5 + (-1*sqrt(825))\/(sqrt(704) + sqrt(704) + sqrt(704)*-1 + sqrt(704) + sqrt(11)) + 4.\nAnswer: -1620*sqrt(3)\/17 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**24\/g)\/g*g\/(g*g**22\/g))\/(g**(-22)\/(g\/g**(-28))) assuming g is positive.\nAnswer: g**52","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 95323632 a multiple of 5602?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3772?\nAnswer: 2, 23, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 459 is divided by 23?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 108 - 104. Solve p = -b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 214, -7210, 17 in decreasing order.\nAnswer: 214, 17, -7210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*p - 2*o + 953980 - 373641 = 0, -3*p + 4*o = -193465. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve d - 15 = -2*h + 6*h, -2*h = -2*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 796 is divided by 100?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -4*y + 8*y. Suppose -10 - 10 = -y*v. Solve 0*g + g - 10 = 2*p, v*p = -2*g - 25 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 d, and 1 k when three letters picked without replacement from qkdbkbkkibbkbbkqqq?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:54 PM and 11:16 PM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 45 + -71. Let y = -31 - j. Which is the second smallest value? (a) 3\/7 (b) -2 (c) y (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(147))**2 + sqrt(147))*-1 + (sqrt(147) + -1*sqrt(147))*4 + sqrt(147) + ((sqrt(147) + 5)**2 - (sqrt(12)\/sqrt(4)*-6 + sqrt(3))).\nAnswer: 25 + 75*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) be the first derivative of 137*y**5\/5 + 125*y - 55. Differentiate o(s) wrt s.\nAnswer: 548*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6 + 4. Let f(c) = c**3 + 3*c**2 - 1. Let r be f(p). Which is bigger: r or 0.1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/45*-3)\/(16\/(-15))?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add -269504 and -108.2.\nAnswer: -269612.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s = -116 - 4. Is 15 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -4*g + 2. Let p be l(0). Solve p*v + v = -9 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -152*k - 1087 = 1845 + 260 for k.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13133*q**3*w**2 - q**2*w**2 + 529*q*w**2 + 4*q*w - 2*w**2 wrt q.\nAnswer: 78798*q*w**2 - 2*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = c + 3*c + 24, y + 4*c = 0. Let j(r) = 11*r**2 + r - 2. Let v be j(1). Suppose -2*a + 13 = y*b - 83, -b - 4*a + v = 0. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14915, -14922, -14925, -14918, -14895, -14850, -14777?\nAnswer: -14670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 132087257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 7*s = 2*s + 23, 0 = 4*k + 3*s - 24. Suppose a + k*a + h = 69, 4*h - 68 = -3*a. What is the remainder when 26 is divided by a?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-35*j - 10*j + 2*j)*(j + 5*j - 4*j)*(5*j - 14*j + j) as p*j**2 + k*j + g*j**3 + h and give g.\nAnswer: 688","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 5*u = -56, -3*b - 2*b + 5*u = 65. Let y be b\/(-2) - (-12)\/(-8). Suppose -2*h + 90 = y*h. 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 l = -27.1 + 27. Which is greater: l or 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 17178?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 236553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-28 + 35 - -19) + -28.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2541 - 2520. What is the remainder when 33 is divided by w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 76 + 6 = 0. Let q(s) = s + 24. Let l be q(4). Suppose l + 8 = 3*v. Calculate the remainder when b is divided by v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d**4 + 0*d**4 - d**5 + (d - d - 2*d**5)*(1 - 3 - 2).\nAnswer: 7*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l + 9. Let u(b) = b - 1. Let a(q) = t(q) + 2*u(q). Let s be a(-5). Suppose s*n + 2*r - 18 = 0, n - 5*r = -2 + 5. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1, 1183, -4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = n**2 + 8*n + 15. Let v be a(-6). Let m be (v + -5)\/(5\/1). Let u = -1 + 0.6. What is the nearest to m in u, 5\/4, -2\/3?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-30)\/(-5)*1\/(-3) - 10. Calculate the common denominator of (-4)\/6 + 169\/i and -69\/22.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -347 + 2*a**2 + 0*a**2 + 347. Let u(s) = -20*s. Determine q(u(w)).\nAnswer: 800*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5533*z**5 - z**3 + 221*z**2 - 4759*z?\nAnswer: 110660*z**3 - 6*z + 442","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -72234\/11 or -6566?\nAnswer: -72234\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 660 and 1760?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 408 = -366 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1506.\nAnswer: 2, 3, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 4, p: 7, h: 1, j: 1}. Give prob of picking 2 h and 1 p.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 16, k: 1, g: 1}?\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (109 - 31*m - 109)*(1 + 3 - 6)*(3 - 2 - 2).\nAnswer: -62*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*b - 240 = -106*b. What is the third biggest value in -23, b, 0.05?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -7*n**2. Let w(x) = -370*x**2. What is m(w(h))?\nAnswer: -958300*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.54*414.\nAnswer: -223.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 44 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 130513550 (base 6) in base 14?\nAnswer: 4a917c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -11*q - 66. Let s be m(-6). Suppose s = -8*i - 7*i + 30. Let f(a) = -a**3 + 3*a**2 - 2*a + 2. What is f(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7 + 19. Calculate the greatest common divisor of u and 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.7 - 2.1. Let i(m) = -2*m**2 - 12*m + 12. Let l be i(-7). What is the fourth smallest value in l, -5, v, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (100\/(25\/(-5)))\/((-56)\/2)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -90 + 94. Solve -z*b - 8 = -28 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-63)\/3*(2 + -3). Solve 0 = 3*t - 9 + l for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxq. What is prob of picking 1 x and 2 q?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 404709 to the power of 1\/5, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -18541.8 to the nearest 1000.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2051837 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 505758 is divided by 580?\nAnswer: 578","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d = 4*d + 18. Let g be (-26400003)\/d + (-1)\/(-2). What is g rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 146*p - 128*p - 270. Suppose -4*g - 30 = -t, 3*g = -0*g - p. Let f = 4 - 2. What is the greatest common divisor of f and t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 + 4*b**2 - b - 1. Let j be k(-4). Let f = j - -13. What is the highest common divisor of 144 and f?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - (-4 - (2 - 9))) + -5\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 57 + -54. Suppose 2*z + z + 5*o = 1250, s*z + 3*o - 1254 = 0. Suppose 0 = -n + 6*n - z. Is n a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the third derivative of 0*s + 0 + 17\/15*s**6 + 0*s**3 + 1\/30*s**5 - 17\/12*s**4 + 88*s**2. Find the third derivative of x(c) wrt c.\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hmhmhmmhmh. Give prob of picking 4 h.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -3, 68 in decreasing order.\nAnswer: 68, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/13133 greater than 8820\/11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -34 + 113. What is the remainder when u is divided by 62\/3 + (-14)\/21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the third derivative of -1787*c**7\/105 - 4979*c**3\/3 + 10987*c**2. Find the first derivative of l(v) wrt v.\nAnswer: -14296*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 1 n when two letters picked without replacement from {b: 1, n: 1, e: 1, o: 2, r: 12}.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -112*w**4\/15 - 116*w**3\/15 + 6*w**2\/5 + 26*w\/15 + 4\/15 = 0?\nAnswer: -1, -2\/7, -1\/4, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -46176*i*u*v - 41953827*i*u - 191*i*v - i wrt v.\nAnswer: -46176*i*u - 191*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1121212001 - 121?\nAnswer: 1121211110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12046639 is divided by 150?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 250 minutes before 11:07 AM?\nAnswer: 6:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:43 PM and 1:58 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -161 - -160.9. Let p = -32 + 28. Let g = -131\/3 - -271\/6. What is the third biggest value in 2, n, g, p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2344400890 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**3 + 12*z**2 - 19*z - 32. Let m be u(-13). Suppose j = m - 10. Is 4 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-21)\/(-77) - 43381\/(-11)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24691484 a multiple of 162?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*n - 53*n = 15 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1*2\/6*3. Let y = c - -5. What is the remainder when y is divided by 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 595 minutes after 4:04 AM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of 3*y**2\/2 + 1. Let x(v) = -v**3 - 4*v**2 + 2*v - 6. Let t be x(-5). Let d(m) = -m**2 + 9 - t. Give d(b(h)).\nAnswer: -9*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -24 - -26. Suppose 0*i = -i + 2*o - 2, 3*i - 14 = g*o. Suppose -i*t + 13*t = 0. Solve t = 2*y + y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the first derivative of -2146*u**2 + 4486*u - 3666. Find the first derivative of p(h) wrt h.\nAnswer: -4292","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -119 equal to -1078\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 387541*n - 387541*n - n**2.\nAnswer: -n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - r + 2*r**3 - 186 + 179 to the form s + j*r**2 + m*r**3 + g*r and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1020922?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 50, 43, 18, -37, -134?\n\"Answer: -2*v**3 + 3*v**2 - 2*v + 51","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = 3*y - 4*q, -5*y + y = 2*q - 32. Suppose -b = -5*b + y. What is the first derivative of 0 + 11*r**2 + 14*r**b - 43 + 0 wrt r?\nAnswer: 50*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.073*-5.4.\nAnswer: -0.3942","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 61\/9 and 81\/11704?\nAnswer: 105336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = l**2 + 2*l + 2. Let p(n) = -6 - 2*n - 13*n + 8*n - 3*n**2 - 1. What is 4*p(x) + 14*r(x)?\nAnswer: 2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 81\/216*(-2)\/3.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 + 5 - (-867 + (-50)\/5) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**3 + 2*m**2 - 2*m - 1. Suppose y + 2*i - 26 = -3*y, i = 3*y - 7. Calculate the remainder when f(2) is divided by y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1576410 to the nearest one hundred thousand.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 2441*u + 90425. Determine t(-37).\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 508 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 930856?\nAnswer: 2, 23, 5059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 0\/((-3)\/1 - -5). Suppose -x = 4*l - 14, -4*l = -h*l - 20. What are the prime factors of (-2)\/x + 68\/3?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 419541\/2, -0.2, 0.4?\nAnswer: 419541\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-3 - -3) + 1 - 2) + -3\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6323.\nAnswer: 6323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yymmfmfyfmymmymmff. What is prob of sequence ymmf?\nAnswer: 35\/1836","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -23*h - 6. Let l(u) = -8*u - 2. What is -11*l(s) + 4*y(s)?\nAnswer: -4*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 108664 and 36402440?\nAnswer: 36402440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-9 + 8)\/(3\/(-186)) is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 447333 and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*x - 20*x + 5*r + 5760, -3*r = 3*x - 3456. Calculate the least common multiple of 288 and x.\nAnswer: 1152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1899739.\nAnswer: 1049, 1811","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 1283817.72 rounded to the nearest 10000?\nAnswer: 1280000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 64307.84 millilitres?\nAnswer: 64.30784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05412 rounded to one dp?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 4 - 1 - 3*u**2 + 4*u**2 - 3*u**2 + 4*u - u**3. Let v = -3 - -1. Calculate m(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2 - 1\/((-3)\/6). Suppose -4*w - w + 35 = i. Calculate the highest common divisor of 14 and w.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 569 is divided by ((-24)\/(-32) - (-10)\/(-24))\/((-10)\/(-900)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 - 2*s**2 + 2*s - 1. Calculate v(-3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 9 - 57 = 0. Suppose 5*u - 4 - g = 0. Solve -u*d = -2*d - 4*k - 26, 4*k + 21 = d for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -x - 7. Let p(h) = -h - 4. Suppose -2*j = 8 - 2. Let z be -2 + (5 + 2)*1. Determine j*c(y) + z*p(y).\nAnswer: -2*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**3 - 10*a**2 + 13*a - 9. Let z be g(-12). Suppose -5*x + z = -2. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/(-3)*(-63)\/24*23976\/(-3108)?\nAnswer: -54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = -h. Let d(x) = -2*x**3 - x**2 + 19. What is the tens digit of d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*x - 8*x = -768. Suppose 3*u + 13 - 49 = 0. What is the greatest common divisor of x and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from mmmmmqmqqeqlmoeee?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 5*c**2 - c - 123. Determine t(8).\nAnswer: 189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 37498367 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/(-32)*19016\/12. Let k = -602 + g. Find the common denominator of k and -75\/2.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 361 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(-2\/21)*l**(-16\/7))\/(l**32*l**32) assuming l is positive.\nAnswer: l**(-1369\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n - 3*n + 0*n = 0, -n = -9*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -39.3 - -39.3. Which is the closest to i? (a) 615 (b) -2\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 6 = -5*s. Let q be ((-1)\/((-1)\/12))\/s. Solve q = 2*x - 4 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-35)\/(-12) + 95\/(-380))\/(8\/12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 0 + -1 + 22\/2. Let j be 4\/n - 20\/50. Suppose -4*c - 36*i + 41*i = 15, 3*c = 5*i - 10. Put j, c, -4, -3 in increasing order.\nAnswer: c, -4, -3, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -18670 + 19984. Calculate the greatest common divisor of z and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2\/(-10) + -1*(-24)\/(-30))*-17590?\nAnswer: 2, 5, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 4035084?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -1117825158*l**3*v + 32*l**2 - 13267*l*v - 9*v wrt l?\nAnswer: -6706950948*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2180*r - 1731*r - 122685*r**2 + 122687*r**2)*(0*r + 2*r**2 - 1 + 0*r) as h*r + o*r**2 + x + t*r**3 + n*r**4 and give n.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of 0*i + 0*i**2 - 1\/360*i**6 + 1\/120*i**5 - 4\/3*i**3 - 2 - 5\/24*i**4. Let l(t) be the third derivative of o(t). What is l(0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11)\/(4312\/343) + 1 + 11\/(-8)?\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.04 - -39.04. Let b = 39.149 - o. Let m = b - 0.275. Round m to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.98 + -22.75. Round z to one decimal place.\nAnswer: -11.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 550*y - 45801 - 115019 = -1342*y for y.\nAnswer: 85","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 5*z = -4. Let c = 2 + z. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1903182 and 4.\nAnswer: 3806364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 144849496?\nAnswer: 2, 11, 1646017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + -233211?\nAnswer: -300111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.9 + 2. Let t = 1 + c. Let h = 0.8 + -5.8. Which is greater: h or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 422*h + 304*h - 26726 = -436*h for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (190\/1045)\/(2\/(-2)).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (-7656)\/(-5742)*24\/((-2)\/(-1))?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 1809 = -h - 365, 4*c - 4*h - 4344 = 0. Calculate the greatest common factor of c and 256.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2684 - 1829. Suppose -5*i - 90 - x = 0. What is the common denominator of 59\/6 and 171\/(-6)*(-36)\/i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 12*c + 7. Let v be g(-3). Let b = -23 - v. What are the prime factors of (-1)\/3*(-1098)\/b?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 45449838 is divided by 680?\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - h = 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.24, -768\/671, 2 in increasing order.\nAnswer: -768\/671, 0.24, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -135 (base 6) to base 15\nAnswer: -3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -55952.1 + 55952. Let u = 0 - 2. What is the nearest to 13 in u, v, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8*j*v**2 + 2477*j + 4846329*v**2 - 6599*v wrt v.\nAnswer: -16*j + 9692658","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-76)\/16 - (-3 + -11 + 9).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 270078?\nAnswer: 2, 3, 45013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -789.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.67262666 rounded to 3 dps?\nAnswer: -1.673","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*w**3 - 132*w**3 + 20907*w**2 - 20907*w**2.\nAnswer: -93*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*g**4 + 160*g**3 - g**2 + g + 13094.\nAnswer: -84*g**2 + 960*g - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*j + 2*j + 5*j)*(3 + j - 3)*(0*j - j - j + 1)*(3 - 4 + 0)*(0 + 5 - 9)*(-31 - 155 + 294) to q*j + x*j**2 + i + f*j**3 and give f.\nAnswer: -2592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 38\/15 - 16\/5. Let w be (2\/(-12))\/((-2)\/(-3)). What is the second smallest value in l, w, 1\/10?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 152 + -82. Suppose 1969*y = 1974*y + 2*o - 1589, 5*o = 2*y - 595. Calculate the highest common factor of u and y.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -471298 less than -471646?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*w**2 - 3*w**3 + 86*w + 20*w**2 + 15*w**2.\nAnswer: -3*w**3 + 7*w**2 + 86*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 120*r**3 + 7?\nAnswer: 360*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 d, 1 t, and 1 w when four letters picked without replacement from tdzznmnzndztdwwzzdzz?\nAnswer: 16\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 758 + 476 + 1\/(2\/22). What is the highest common divisor of t and 165?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*t - 51 + 5 = 64. Which is bigger: t or -97\/20?\nAnswer: -97\/20","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5329199 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -a**3 + 13*a**2 - 44*a + 186. Calculate d(7).\nAnswer: 172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42862*n - 32 = 42845*n + 36 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = 3*t - 1842. Let d = 1816\/3 + t. Calculate the common denominator of 143\/12 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 + f**3 - f**2)*(-98*f**2 - 146*f**2 + 456*f**2).\nAnswer: 212*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4087, -0.5, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 571404 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3352986 divided by -1246\nAnswer: 2691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = -84*n - 140. Let r(b) = b + 2. Let j(m) = -70*r(m) - t(m). Let d(x) = -18*x. Give j(d(k)).\nAnswer: -252*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 154701\/2300 + -1550\/23. What is the common denominator of k and 2 + (-187)\/60 + 0?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 781 less than or equal to 781?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 - -2.2. Let k = 173 - 171. Which is the closest to n? (a) 3 (b) k (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -4*h + 43 - 71, -h = k + 7. Suppose -3*u - 11 = -4*l, -3*u + l = 3*l - 1. What is the nearest to u in k, 2\/9, 3\/2?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 12*q**2 + 5*q - 17. Let a(k) = -4*k**2 - 2*k + 6. Let f(o) = 11*a(o) + 4*y(o). Let j be f(-1). Let i(u) = 293*u - 1. Is i(j) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 69*l**5*v - l**3*v - l**2*v + 10*l**2 - l*v wrt l.\nAnswer: 4140*l**2*v - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -71*q - 119*q - 6233473 + 42179003 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the first derivative of -70\/3*q**3 + 67 + 0*q**2 - 58*q. Differentiate u(z) wrt z.\nAnswer: -140*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67093 - 2496.36691?\nAnswer: 64596.63309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39*u - 41*u + 6 = 0, -21 = 4*p - 2*u + 21 for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w + 4*j - 14 = -6, 11 = 5*w - 3*j for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10*a - 14*a**3 - 10*a)*(-6 - 2*a + 6 + (-2 + 4 - 4)*(2*a + a - 2*a))*(-1 + 5 - 5) + (-2*a**3 + 6*a**3 - 3*a**3)*(a - a - 2*a).\nAnswer: -58*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1978770?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.7 and -0.2.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.24 + -0.06. Let v = -10.4 - -10. Let q = 66 + -196\/3. What is the closest to q in 1\/9, v, k?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 93229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -14957485*j - 31522362 wrt j.\nAnswer: -14957485","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/11)*v**(2\/3))**(-40\/7)\/(((v*v**(-5)*v*v)\/v**6)\/(v**(3\/5)\/(v**5\/v))) assuming v is positive.\nAnswer: v**(2113\/1155)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 66*x**2 + 589*x - 14. Calculate the remainder when t(-9) is divided by 4.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l\/(((l*l**(1\/3))\/l)\/l))\/l**(-3\/4)*(l**(1\/4))**(2\/23))**(-1\/23) assuming l is positive.\nAnswer: l**(-1225\/6348)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nynynnyynnnnnnny. Give prob of picking 4 y.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2055258000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13.8509 and 0.2.\nAnswer: 14.0509","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t + 7 + 28 = 0. Let f = -166 - -270. What is the fourth biggest value in 0.2, 3\/7, f, t?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/3 or -2\/31?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nopdonobppos. Give prob of sequence ons.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14380 + 14396. What is the remainder when u is divided by ((-12)\/(-9))\/((-2)\/(-6))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -74 - -8. Suppose -3*k + 7*k - 199 = a, 3*k = -6. Let n = l - a. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1190925554?\nAnswer: 2, 7, 13, 89, 73523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1016.\nAnswer: 2, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1667.2344 months to decades.\nAnswer: 13.89362","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -436*q - 2621 = 1303 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -14*f + 8 - f**3 - 7*f + 10*f**2 + 12*f. Let m be u(9). Suppose -6*w + 200 = -w. What is the highest common divisor of m and w?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13 by 18.\nAnswer: 13\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 1061060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 - 78 + 7)*(2 + 0 + 0)*(-4 - 1 + 2)*(1 - 5 + 3)*(3*u + 3*u - 4*u).\nAnswer: -756*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -51.1 + 49. Let g = -1.1 - w. Let o = 0 - g. Is -2 smaller than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011010 - 0?\nAnswer: -1011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5633, 5495, 5357, 5219, 5081?\nAnswer: 4943","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 2*y**3 - 5*y**2 - 86*y - 12. Give r(8).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = 3*o + 1, 3*v + 2*o - 3*o = 26. Suppose w + 0*w + 4*k = 15, 2*k = -3*w + 95. Suppose 0 = -2*m + v*m - w. What are the prime factors of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(19) + -1 + 0 + sqrt(19) + -1.\nAnswer: -2 + 2*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i - 3*u = 15, -64 = 7*i - 5*u - 7 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1687*a - 1670*a = 578. Let v = 39 - 5. Do v and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 + g**2 + g. Let m(n) = 3*n**3 - 4*n**2 - 5*n - 90. Let w(f) = -m(f) - 4*q(f). Let x be w(0). What is the highest common factor of x and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (z + 0*z - 4*z)*(-1 + 0 - 2)*(-2 + 2 + 2*z).\nAnswer: 18*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 2289 - 7*z**2 - 2289. Let r(i) = -1901*i. Calculate n(r(t)).\nAnswer: -25296607*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 2*(60\/(-352)*-11)\/(1\/4)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 2\/7*q**4 + 1\/7*q**5 + 0 + 0*q**2 + 1\/7*q**3.\nAnswer: q**3*(q + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 PM and 8:54 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -151, -147, -133, -103, -51, 29, 143?\n\"Answer: d**3 - d**2 - 151","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -739 - -739. Suppose -2*f + 2 = 3*i, y = 3*f - 0*i + 2*i - 8. Solve 2*j + 3*j = f*c - 11, -19 = 4*c + 5*j for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 52052\/220 + 4\/10?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6556 and 6226?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*y + 2*a + 14, 0*y - 3*y + 39 = 9*a + 54 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-17 - 44) + (-15 - -10) + (-3 - -2) + 3?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -63 - 13?\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140, -280, -424, -572, -724?\nAnswer: -880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 9\/3347408?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -60.515477 to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-6)\/z)\/z)\/z*z)**(-5\/8) assuming z is positive.\nAnswer: z**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = o + 4*f - 22, 2*o + 32 = 4*o + 5*f. Let i(g) be the third derivative of -1\/3*g**5 + 0 - 2*g**3 - 1\/30*g**o - 5*g**2 - 7\/6*g**4 + 0*g. Factor i(c).\nAnswer: -4*(c + 1)**2*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*o - 2485 = 22889 + 22270. What is the smallest common multiple of 1939 and o?\nAnswer: 3878","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -538 - -408. Is 10 a factor of (g\/(-39))\/(2\/285)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uo when two letters picked without replacement from {u: 2, h: 7, o: 3, m: 2, s: 4}?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9*d = 32 - 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -475*o + 495*o = -80. Put 4, o, -1 in decreasing order.\nAnswer: 4, -1, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -6*u**2 + 669*u + 96. Let s(g) = 2*g**2 - 223*g - 34. Calculate -17*s(f) - 6*v(f).\nAnswer: 2*f**2 - 223*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.637 - -70.963. Let q = h - 120.7. What is q rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/((-24)\/1)*-3*1*24.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/1 + (-6 - -4). What are the prime factors of (-4252)\/(-8) + p\/(-8)?\nAnswer: 2, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (1 - 3) + (36 - 35).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 44\/11*-1 + -1 + 9. Solve -5*q - 5*o = 50, -k = 5*q + o + 26 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-8 + 110\/15)*(-4)\/12. Which is the biggest value? (a) f (b) 0.5 (c) -5 (d) 13 (e) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o - 3011*o**2 + 2303*o**2 + o.\nAnswer: -708*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2 + 7 + (-12 - -9). Solve 0 = 2*l - 4*o + 6, -2*o + j + 3 = 5*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 + (-17 - -16) + 4?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5057*p + 1389*p = -251394 for p.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -2 - (-8 - -22 - (-6 - -15))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3825 and 8201973.\nAnswer: 615147975","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 54 - 54 = 0. Suppose 0*y - 3*o = 2*y - 18, -3*y - 2*o = -c. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 5, -0.12, -0.4, -2\/13?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -7*m + 9. Let l be c(2). Put 3, -3, 9, l in descending order.\nAnswer: 9, 3, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*sqrt(2430)*-2 + sqrt(2430) + sqrt(2430) - sqrt(2430))\/(sqrt(120)\/(sqrt(24)\/sqrt(2)) - sqrt(250)*1).\nAnswer: 81*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/3? (a) -3 (b) -0.3 (c) -1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00003346451827 rounded to six decimal places?\nAnswer: -0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put together 186 and -0.3.\nAnswer: 185.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c = -4*j + 10, 3 = 2*j - 7*j - 4*c. Let u(m) = 3*m + 1. Let g be u(j). Solve -3*s = 16 - g for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vsvx when four letters picked without replacement from sesvbbbvxtvvbstsbvs?\nAnswer: 25\/23256","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.882 + 0.782. Which is the closest to 2\/11? (a) u (b) 5 (c) 5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-2*sqrt(84)*4 - 6*(sqrt(84) + sqrt(84)*-2))\/(-1*sqrt(1452) + sqrt(96)\/sqrt(2)).\nAnswer: 4*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 80.504 + -11.504. What is the nearest to -0.2 in 0.04, 4, w?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -8\/15, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 538542866 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 5 - 43 = 0. Suppose 5*m = -3*o + i, -1 = 2*o - 5. Calculate the remainder when (m\/2)\/(2\/28) is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11*g**3 - 105*g**3 + 24*g**3)*(-12 + 2 + 8 + g)*(4*g - 11*g - 11*g).\nAnswer: 1656*g**5 - 3312*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -108*x = 76*x. Let i(o) = 4*o - 1 - 3*o - 5. What is i(x)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 222224, 222223, 222224, 222227, 222232?\nAnswer: 222239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 575750*q - 718*q**3 - 575750*q + 733*q**2 + 4470*q**3 + 1448*q**2 wrt q?\nAnswer: 22512","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 199982 from -0.0433476202.\nAnswer: -199982.0433476202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 419317?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 194, 806, 1834, 3278, 5138?\n\"Answer: 208*y**2 - 12*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 20, 92, 194, 326?\nAnswer: 488","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = 7*a + 12. Let c(l) = -184*l + 179. Let q be c(1). Determine u(q).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.08668066 rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 + -48. Suppose -o*a - l - 2038 = 0, 2*l = -5*a + 4*l - 2029. Let k = a + 10981\/27. Calculate the common denominator of -76\/33 and k.\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q. Suppose 0 = 3*d - 5*d - 8. Let g be u(d). Is ((-2)\/3)\/((-2)\/g) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 167815 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2888, -8894, -25218, -57020, -109460?\nAnswer: -187698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + ((-5*sqrt(200)*-1*5)**2 - (((sqrt(200) + 0)*-4)**2 + 3*-2*sqrt(200))) + -3.\nAnswer: 60*sqrt(2) + 121793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 42590?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -58 + 62. Sort -3, -1, u in descending order.\nAnswer: u, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -43018300 divided by -8603660\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 6*z + u - 97 = 0, -3*z + 2*u = 98. Find the common denominator of 1\/(z\/(-596)) - 1\/(-8) and (3\/(-6))\/(2\/9).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 86\/130053 and -34\/3?\nAnswer: 130053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + h + 30, 0 = -324*c + 320*c + 3*h - 70 for c.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 87, 109, 9, -273, -797, -1623, -2811, -4421?\n\"Answer: -10*c**3 - c**2 + 95*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 46 by 6087.\nAnswer: 46\/6087","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve u**3 + 17*u**2 = 0.\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = z**2 - 3*z + 2. Suppose 0 + 5 = l. Calculate the smallest common multiple of g(l) and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 33.2 and 8.\nAnswer: 265.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -20.6*-4\nAnswer: 82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v - 24 = -3*o - 25, 96 = 2*o - 20*v for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + 5643?\nAnswer: 5636","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*(m\/(m*m**1*m))\/m)\/m*m*m\/(m\/m**4))**(2\/39)\/((m**(-1)\/(m*m**(2\/5)*m*m))\/(m**3\/(m*(m\/(m\/(m**3\/m)))\/m))) assuming m is positive.\nAnswer: m**(1073\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-128*g**3 - 195*g**3 - 145*g**3)*(-1 + 5*g + 4 - 3*g) to f*g**3 + o*g**4 + d*g**2 + m + w*g and give m.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {x: 1, r: 1, v: 1, l: 1, y: 1, h: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 280*u + 317*u - 21*u - 113*u - 37503 = 0 for u.\nAnswer: 81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -87*y - 1052 = -91*y + 2*i, -5*y = -i - 1312. What is the remainder when y is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 15635 + 7?\nAnswer: 15644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860786574?\nAnswer: 2, 3, 37, 3877417","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -43833426 - -3713.738.\nAnswer: -43829712.262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t + 93 = 0. Let h be t\/(-33) - 10\/(-55). Suppose 13 = -h*n + 5*w, n - 7 = -3*w + 12. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**3 - 64*w**2 + 204*w + 153. Give s(-67).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 80 and 224.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 8:11 AM?\nAnswer: 6:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from adduaudaauddd. Give prob of picking 2 a and 2 u.\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -522 (base 12) to base 6.\nAnswer: -3242","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -325798 divided by 5522\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 464 and 92?\nAnswer: 10672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 - 77 = 6*z. Let i be 2 + 5\/(75\/z). Suppose -2\/5*v**3 + 2\/5*v + i - 4\/5*v**2 = 0. Calculate v.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**2 - 4*o + 1. Let z be d(4). Let g = -1 + z. Which is smaller: g or 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o + 0 + 0 + (12 - 12 + 2*o)*(-5 + 2 + 2) + (3 - 1 - 3)*(3*o - 3*o + o) + 8*o - 3*o - 3*o.\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 3, 7, -1 in decreasing order.\nAnswer: 7, 3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 31678.734 to the nearest ten.\nAnswer: 31680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-39)\/(-468))\/((-1)\/(-28)))\/(2\/(-12)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1 - -2. Let g(k) = -5*k**3 + 2*k**2 + 3*k. Let s = -124 - -128. Let d(q) = 4*q - q - 11*q - 3*q**2 + 4*q + 6*q**3. Give s*g(b) + w*d(b).\nAnswer: -2*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -3 + a + 11 + 0*a. Let u be h(-6). Suppose 3 + 4*j**3 - 3*j - 3*j + 2*j**5 - 1 - 6*j**4 + 4*j**u = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -1427512, -2855077, -4282666, -5710279, -7137916, -8565577, -9993262?\n\"Answer: -12*s**2 - 1427529*s + 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -113120 - -11?\nAnswer: -113104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-26)\/6 + (16 - 12)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3474 to the nearest integer?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 12 - 11.7. Which is the closest to -1\/2? (a) p (b) -3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.0374 - 0.7056. Let y = -0.78 - w. Let b = -0.03 - y. What is b rounded to 2 decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/210*-4)\/(-4*8\/80). Suppose 0 + 0*i**2 + 0*i + 2\/7*i**4 + 2\/7*i**5 - o*i**3 = 0. Calculate i.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(1331)*3 - sqrt(1331) - sqrt(1331)) + 1*sqrt(1331)*6 + -4)*6)**2.\nAnswer: -9504*sqrt(11) + 431820","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (1 - -3) + -4 + -1. Is r + 316 - (-36)\/9 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14 + -3 + 5 - (4 - -3)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -52017, -52037, -52059, -52083, -52109?\n\"Answer: -v**2 - 17*v - 51999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 44568?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -103042 - 0?\nAnswer: -103042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 17352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 a factor of 39616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 130459835 > 130459835?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -204839, -409683, -614527, -819371, -1024215?\nAnswer: -1229059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x**2 + 27*x - 8. Let o be h(22). Let c = -81 + o. Suppose 1515 - 591 = 4*b. Calculate the greatest common factor of c and b.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) be the third derivative of 5*q**8\/336 - 5*q**7\/14 + 13*q**6\/8 - 37*q**5\/12 + 5*q**4\/2 + 49*q**2. Factor w(t).\nAnswer: 5*t*(t - 12)*(t - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = j**3 - 23*j**2 - 91*j - 462. Let q be t(27). Which is the second biggest value? (a) q (b) 3\/167 (c) 0 (d) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10249472 divided by -1281184.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*f - 24 = -15*f. Let g(h) = -h + 4. Determine g(f).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 + 210?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + 2*g**3)*(1370*g - 1370*g + 202*g**2) + 0*g**5 - 3*g**5 + 4*g**5.\nAnswer: 405*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3 - 0. Let w = 2.99999996 - c. What is w rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 21\/2 and -59\/470.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkywyywww. What is prob of picking 3 k?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u**3 - 172*u**2 - 2223*u + 280. Calculate b(-16).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220 a factor of 23907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 - -17. Let x(h) = -12*h - 6. Calculate the smallest common multiple of x(-6) and (-1178)\/(-57) + k\/3.\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -3, -5, -4, -295 in ascending order.\nAnswer: -295, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 957749 is divided by 12437?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 84603 + -14989. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3 (b) -2\/9 (c) 2\/183841 (d) 1\/7 (e) -0.2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-1\/7)*c)**(8\/7))**(1\/34)*(c**(-5)\/(c*c**(2\/15)))\/(c**0*(c\/(c*c*c**1*c))\/c*c) assuming c is positive.\nAnswer: c**(-38371\/12495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = z - 1. Let f(m) = -48*m**3 - 9*m**2 + 51*m - 33. Let s(y) = 23*y**3 + 4*y**2 - 26*y + 18. Let r(k) = 4*f(k) + 9*s(k). What is r(a) + 30*v(a)?\nAnswer: 15*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -4*y**3 + 33*y**2 - 5*y - 15. Determine z(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = f**2 - 2*f - 2. Let w be y(2). Let r be (4 - 2)*(w + 3). Calculate the least common multiple of 12 and ((-1)\/1 + r)*14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1.8 in 5, -16, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or 186\/85?\nAnswer: 186\/85","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73000869.\nAnswer: 3, 19, 41, 31237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 + 84\/8)*(-2)\/3?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 10) in base 12?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**2 - 2*j + 1. Let f = -2 - -1. Let s be (-4)\/(f\/(0 + -1)). Give r(s).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1641f0 - a?\nAnswer: -1641fa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand 41*x**2 - 519 + 519 - 3*x**5 + 2*x**5 - 4*x**2 + 4*x**2 - 7*x**5 - 2*x**5 + x**5 + (6 - 5 - 3)*(-x + x**5 + x) + 0*x**5 - x**5 + 2*x**5.\nAnswer: -10*x**5 + 41*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 6141 and 7390?\nAnswer: 45381990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -83 - -251\/3. Let p = -0.5 + 0.3. What is the nearest to -1 in p, 2\/5, o?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -4 (b) 1\/6 (c) 2\/681 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-22*k - 7*k - 7*k)*(0*k**4 - 3*k**4 - 6*k**4).\nAnswer: 324*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-14)\/105)\/(20 + (-13617)\/680)?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 26 and 2873?\nAnswer: 5746","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 90.6 - 91. Which is the nearest to 5? (a) u (b) 0.2 (c) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o. Suppose -p + 3*i + i = 1, -4 = 4*i. Put o, 4, p in decreasing order.\nAnswer: 4, o, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 38 divide 112974?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*n - 0 + 9, -3*n + 9 = -3*o. Let y be o\/4 + 9\/(-6). Let s = y + 9. Is 3 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 4 + 1)*(0*u + u + 2*u + (-u + 0*u + 2*u)*(-2 - 5 - 1)) in the form q*u + o and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -23326\/3947?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + o = 33, 4*h - o = 4*o + 59. Suppose n - 32 - 7 = 0. Let c = n - 37. Solve -w + 11 = -0*w + 3*a, 5*w + c*a - h = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 7*p**2 - p + 1. Let u(y) = -14*y**2 + 2*y - 2. Let g(r) = 7*n(r) + 4*u(r). Let j = -1290 - -3042. Let m be ((-8)\/22)\/2 + j\/803. Determine g(m).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tyv when three letters picked without replacement from vkcctvykvc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -1419644 at least -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 2*g + 18 = 0, -6 = -202*g + 203*g for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (84\/2)\/(3\/2). Suppose 2*f - p = -2*f. Suppose 0 = 2*v + 4*b + 19 - 63, -64 = -3*v - 5*b. Calculate the remainder when v is divided by f.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the second derivative of i**5\/20 - 7*i**4\/12 + 2*i**3\/3 + 7*i**2\/2 + 52*i. Determine c(6).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 675 minutes after 9:37 AM?\nAnswer: 8:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2311532049 to the nearest integer?\nAnswer: 1322","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b**2 - b + 1. Let j(p) = -2*p**3 + 12*p**2 + 3*p - 3. Calculate j(d) + 3*v(d).\nAnswer: -2*d**3 + 9*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 12. Suppose -3*s + 4*g + 30 = 0, 6*s - 5*s + 3*g - 10 = 0. Let j be (1 - 1) + (-4)\/s. Is y greater than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30546?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-o**2 + 5*o**2 - 2*o**2)*(3 + 1 - 2)*(0*o**3 + o**3 + 3*o**3).\nAnswer: 16*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -115*f**3 + 89*f**3 - 18*f**2 - 108*f**3 + 233*f**2 wrt f.\nAnswer: -804","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3)\/(-2) + 14\/(-20)\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.92 + 0.67. Round d to 1 decimal place.\nAnswer: -3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**3 - 6*p**2 + 8*p - 2. Let i(o) = -o**3 + 5*o**2 - 7*o + 2. Let j be 1*5*12\/10. Calculate j*i(x) + 5*z(x).\nAnswer: -x**3 - 2*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from {a: 6, m: 1, t: 8}.\nAnswer: 8\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the second derivative of -331*y**4\/12 + 3*y**3\/2 + 3*y**2 - y + 11. What is the second derivative of z(j) wrt j?\nAnswer: -662","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/20 and (-35)\/(-11366) - (-7 + -1 + 8).\nAnswer: 113660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -4 + (6 - -1) - 6. Let b(g) = g**3 - 1. Let n(x) = -16 - 18 - 3*x + 3*x - 17*x**3. Let l(y) = h*b(y) + n(y). What is the derivative of l(o) wrt o?\nAnswer: -60*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1511 (base 6) in base 4?\nAnswer: -12103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69.5 and -204.\nAnswer: 14178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 26 + -10. Let c = l + -15.5. Let j = 53 - 53.2. Put c, 2\/17, j, 2 in decreasing order.\nAnswer: 2, c, 2\/17, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -67b9 (base 16) in base 12?\nAnswer: -13449","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 247*o**3 - 120*o**3 - 124*o**3.\nAnswer: 3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y - 7 - 29 = 0. Let c be ((-2)\/3)\/(2\/y). Suppose j = -c*j + 10. Calculate the least common multiple of 6 and j.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*u - 8 = -32 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9710.\nAnswer: 2, 5, 971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 - (-28 + 34 - (-3 + 6 + -6) - -4)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 20 + -8. Let q be 8\/n + 470\/15. Let d = q + 19. List the prime factors of d.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 4 = 12. Let g = 24 - 20. What is the second derivative of 4 - 4 + v**4 - c*v**g + 3*v wrt v?\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2236076 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j = -4*i - 16, -2*i = 4*j + 21 + 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -4 - w - w**2 - 2*w - 2*w. Let d be c(-4). Solve 2*o - 2 = -d*o for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 389*u**3 - 3549 + 3555 - 50*u**3 as i*u**2 + y*u + x + w*u**3 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -179 + -169?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(33) - (-2*sqrt(165))\/sqrt(5))\/(sqrt(3) - 1*sqrt(108)))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2326299719 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49\/41324 - 75847\/101574392. Find the common denominator of -83\/4 and o.\nAnswer: 9832","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/6)\/(x\/(x**(-1\/6)*x*x)))\/(x**(-1\/2)*x\/x**(-2)) assuming x is positive.\nAnswer: x**(-11\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 0, -20, 5, 2.\nAnswer: -20, -9, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h - 2*z = 4*h - 314544, 4*h - 314546 = -3*z. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is next in 62, 75, 98, 137, 198, 287, 410, 573?\nAnswer: 782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 20437*i + 1893?\nAnswer: 20437","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/31)*p*p*p)\/p*p**(7\/8))**2 assuming p is positive.\nAnswer: p**(953\/124)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -292095, -292093, -292091, -292089, -292087?\nAnswer: -292085","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -6042716*z**5 - 3589624*z**2?\nAnswer: -362562960*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13398, 15, -3, 3 in increasing order.\nAnswer: -3, 3, 15, 13398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 357.4478 milligrams?\nAnswer: 0.3574478","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 989.2256l in millilitres?\nAnswer: 989225.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -p**2*w - 35120827*p**2 - 11*p*w + 679*w**2 + 202*w wrt w?\nAnswer: -p**2 - 11*p + 1358*w + 202","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 42*n**6 + 4*n**5 + 5*n**2 + 53*n.\nAnswer: 5040*n**3 + 240*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 40 - 11. Let a = 47 - m. Calculate the remainder when 34 is divided by a.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddaj when four letters picked without replacement from {d: 6, a: 4, r: 3, j: 2}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*c**2 + 4*c**2 - c**2)*(2*c**2 - 4*c + 3*c + 0*c) + (3*c + 2*c**3 - 3*c)*(8*c + 0*c - 3*c).\nAnswer: 4*c**4 + 3*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4 - (-2 + 0)\/(-1). Let s = 87 + -91. Which is the nearest to 3? (a) -3 (b) s (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5 (b) 4 (c) -0.01 (d) -2.178\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -488, 34, 3?\nAnswer: -488","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - 11*k**2 - 17*k + 37. Let p be f(-9). Let q be 10\/6 - (-60)\/180. Solve 2*j = -q*v + 6*j - p, -2 = 3*v + 2*j for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00220113815 rounded to seven dps?\nAnswer: 0.0022011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = 1 + 12*x**2 - 7 - 14*x**2. Let u(s) = -10*s - 7. Let m(l) = 7*l + 5. Let p(t) = 7*m(t) + 5*u(t). Calculate p(r(b)).\nAnswer: 2*b**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 21*z**2 - 161 + 5*z**3 + 7*z**2 + 319 - 160 to w*z**3 + m*z + s + p*z**2 and give w.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) be the first derivative of -2\/3*y**3 - 10*y + 15 + 21\/2*y**2. Let h be m(10). Solve -2*j = -6 - h for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 130 - -10701. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (7 - 1)*(-18)\/(-27). Suppose -107 = -3*y + x, -i*x + 9 + 39 = 2*y. List the prime factors of y.\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 429*s = 444*s - 150. Solve -f - s = -3*r, 5*r - 2*f - 24 = -9 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -102 - (-9 + (-7 - 1) + (-14 - -10) + 14)\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1278 and 1207.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that 58*q**2\/13 + 1254*q\/13 + 2888\/13 = 0.\nAnswer: -19, -76\/29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 3, m: 4}. Give prob of sequence kmk.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 0 - 3)*(-2*v + 3*v - 2*v) + (-1 + 4 + 0)*((4*v - 2*v - v)*(7 + 2 - 3) - 4*v + 0*v + v).\nAnswer: 7*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2 (b) 1 (c) 0.04 (d) 3 (e) 2\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (0 - 0) + (-12 - -1 - -15). Suppose -8*z = -3*j - 11*z + 7635, k*z = 4*j - 10180. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d\/d**(2\/15)))**(-40) assuming d is positive.\nAnswer: d**(104\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g = p + 39, -36 = -0*g - 3*g + 3*p. Let h = 14210 - 14129. What is the greatest common divisor of g and h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -2*z - 9. Let o be t(-6). Suppose 1 + 2 = -3*u. Let a = o + u. Solve 5*k = -2*m + m + 13, a*k = -2*m + 10 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -37*o. Let x(w) = -8*w + 36. Let q(r) = -r + 6. Let c(y) = -30*q(y) + 5*x(y). What is p(c(u))?\nAnswer: 370*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3 + 3.1. Let s = 61.9 + -62.2. Let v = -0.972 + -0.028. What is the closest to f in s, v, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 PM and 2:44 AM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the first derivative of -25*j**4\/4 + 42. Determine c(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * -3161\nAnswer: 948.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1336034000 to the nearest 1000000.\nAnswer: -1336000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 0 + 7*x - 3 - x**2 + 0. Suppose 23*m - 61 - 59 - 18 = 0. Give l(m).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 4*o + 1. Calculate c(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 1140506, 1141545, 1143278, 1145705?\n\"Answer: 347*m**2 - 2*m + 1140161","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the third derivative of 29*y**2 + 0*y - 1\/10*y**5 + 29\/6*y**3 + 0*y**4 + 0. Differentiate h(s) with respect to s.\nAnswer: -12*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -10*m - 15*m - 90*m + 4 - 4 + 2*m - 2*m + m + 2*m + (5*m - 3*m - 4*m)*(4 - 2 + 0) + 0*m + 2*m + 0*m + m + m - m.\nAnswer: -113*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2964)\/(0 + -2) - -2. Let n = 140982\/95 - t. Let r = n - 101\/285. Do -2\/7 and r have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -r**3\/8 + 671*r**2\/4 - 14629*r\/8 - 3993\/2 = 0.\nAnswer: -1, 12, 1331","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9931278 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 11*k**2 - 3*k**2 - 200 + 4*k**2 - 5*k**2 wrt k.\nAnswer: 14*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 270411 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/3)\/((-799)\/(-141))?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/840*1*2219\/634.\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + -b3?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 35*(-54078)\/(-135160) - 14 and 73\/9?\nAnswer: 121644","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36972310?\nAnswer: 2, 5, 73, 50647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 0.2 (b) -4 (c) 1 (d) -671 (e) 24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 395 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**5*b\/(((b\/((b\/b**(-10))\/b))\/b)\/b))**(1\/53)*(b*b**(-1\/3)*b)**(-6\/11)*(b*b**(-1))**(-41) assuming b is positive.\nAnswer: b**(-343\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2*213\/6 + 2. Suppose -7*s + s - 18 = 0, -n - s + 3 = 0. Calculate the remainder when (-1)\/(210\/j - -3) is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 2014 + 31410412?\nAnswer: 31412431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2202 and 7340?\nAnswer: 22020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3*h - 2*h - 2*h)*(7454*h + 20475*h + 22349*h) to the form p + s*h**2 + d*h and give s.\nAnswer: -50278","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/56*0*1*(-19)\/(-38)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let -10*i**3 + 105*i**2 + 700*i - 375 = 0. What is i?\nAnswer: -5, 1\/2, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.46455 less than -210?\nAnswer: -209.53545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -390541*d**2 - 2*d + 312107 wrt d.\nAnswer: -781082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18 - 17.9. Are -2\/7 and b non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3322866 is divided by 1107589.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -9*b + 27. Let u(l) = -l. Calculate m(i) - 6*u(i).\nAnswer: -3*i + 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1714? (a) 0.1 (b) -2 (c) 2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -5 + (6 - -4). Let y be a*(-1 - (-20)\/12). Suppose 4*q = -m + 136, q - 4*m = -y + 21. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.3*71823\nAnswer: 21546.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 65098 and 525624?\nAnswer: 141392856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 2\/(-6*4\/(-12))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10\/((-140)\/(-21)))\/(3\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -3*f**5 - 2826*f**4 + 445053*f**3 - 6169656*f**2 + 19428660*f - 17693808 = 0.\nAnswer: -1081, 2, 11, 124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 8345, -4, -11, 84 in descending order.\nAnswer: 8345, 84, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 765 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -2*o**2. Let j(a) be the second derivative of -a**6\/40 - 7*a**4\/24 + 143*a**3\/6 - 71*a. Let x(p) be the second derivative of j(p). Calculate x(t(m)).\nAnswer: -36*m**4 - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 - 3*k**2 + 6*k. Suppose -20 = 4*m, -m = 2*c - 3*m. Is x(c) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 204701 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + -123 + 10 - -28 - -12.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 15*t + 2304. What are the prime factors of t?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ltsbsstssls. What is prob of picking 1 s, 1 t, and 2 l?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 99184 and 1289392?\nAnswer: 1289392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3875174 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -14 at least as big as -193522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32576?\nAnswer: 2, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20 + (2 - -1) + -5 + -9?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18735.4 grams to tonnes.\nAnswer: 0.0187354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2688 = 370*n - 374*n. Let l = n + 652. Let g(a) = -a**2 - 20*a + 4. Give g(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -447.2 + 445.2. Which is the third biggest value? (a) 0 (b) -0.2 (c) m (d) -9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (8\/(-14)*15435\/(-5880))\/81.\nAnswer: 1\/54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/16 and (-428)\/(-96) + (-1)\/3.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**2 + 60630*y - 60633.\nAnswer: 3*(y - 1)*(y + 20211)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 + -86. Solve -3*k = 4*u - 10 - s, 4 = 4*u - 4*k for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v. Suppose 2*z = -2 + 10. Let o be h(z). Suppose c = 5*y - 20, 3*y + 0*y = -o*c + 12. Solve -y*f + 6 = -2*d - 0*d, d + 6 = 3*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**5\/20 - z**4\/3 + z**3\/6 - 45*z**2\/2 - 17*z - 4. What is the units digit of i(-8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = -2*i**3 - 8*i**2 + 15*i + 61. Let k be w(-6). Solve -k + 118 = -a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 753101.3 weeks in nanoseconds?\nAnswer: 455475666240000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -28*o**4 - 5*o**3 + 87*o**2 - 35*o - 19. Let d(q) = -140*q**4 - 26*q**3 + 434*q**2 - 174*q - 94. Let j(w) = -3*d(w) + 14*v(w). Factor j(t).\nAnswer: 4*(t - 1)**2*(t + 2)*(7*t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 48292365 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g + 9 = 4*h - 8, 4*h = 2*g + 10 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11463 + 4?\nAnswer: -11456","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 - -1)*(-1 + 4). Let h(r) = -r**3 + 15*r**2 + r + 1. Let y be h(x). Calculate the highest common factor of y and 80.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 - 76. Let c = -15 - m. Suppose 2*f - c = -5*g - 4, 9 = 3*g. Solve 3*j - f = 1 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -2. Let b(c) = -c**3 - 12*c**2 - 17*c + 5. Let q be b(-10). Let d be 8 + (-2)\/((-10)\/q). Put 2, d, v in increasing order.\nAnswer: v, 2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 6116 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 + (-297)\/(-63))\/(1\/7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (8 - 9)\/((-2)\/(-8)). Let x(t) = -6*t - 4. Let s be x(g). Suppose -s = -5*q + 60. Is q a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -661, -1330, -1999?\nAnswer: -2668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -34 - -28. Let p(f) = f**2 + f. Let k(d) = -2*d**2 + 7*d. Let b(y) = m*p(y) - k(y). What is the second derivative of b(j) wrt j?\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 6250797 and 84.\nAnswer: 25003188","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (((-6)\/8)\/((-36)\/64))\/1\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 minus 0.764?\nAnswer: -8.764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/11, -4, 151, -0.5?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -22, 15, 62, 125, 210, 323, 470, 657?\nAnswer: 890","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 4*o - 810, -3*o - r + 100 + 530 = 0. What is the remainder when o is divided by 28?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 419 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.795 (b) -4\/5 (c) 0.2 (d) -2\/23 (e) 2\/5 (f) 6\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2337581 centuries in months?\nAnswer: 280.50972","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 195.5002 - 195.3. Let l = 0.2 - b. Round l to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 20 = 31. Let w(o) = -o**3 - 9*o**2 + 24*o + 5. Let b be w(u). Let n = 66 - b. List the prime factors of n.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-2))\/((-33)\/462*189\/(-414))?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (26*v + 6*v + 7*v + (-4 + 5 - 3)*(-2 + 2 - 2*v) - 2*v + 4 - 4 + (-1 + 1 + v)*(1 - 1 + 1))*(v + 2*v - 4*v).\nAnswer: -42*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*a + 6*a - 5*a)*(-140*a - 174*a + 255*a + (4 + 1 - 3)*(-4*a + 3*a + 2*a) + a + 0*a + a)*(-3 + 1 + 1) to the form s + o*a + g*a**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -13*u**2 - u - 1. Let a be y(3). Suppose 276 = -2*c + 4*v, -v + 126 = -2*c - 135. Let x = c - a. Let z(t) = t**2 + 7*t - 8. What is z(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 5*y + 5. Let b be g(-6). Let u = 3 - b. Suppose -160 = -u*s + 8. Does 11 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 65 - -28?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11*-20804.\nAnswer: -228844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the first derivative of -d**5\/20 - d**2\/2 + 1. Let l(i) be the second derivative of h(i). Let o(f) = -2*f**2. Calculate o(l(r)).\nAnswer: -18*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 111175088?\nAnswer: 2, 6948443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15 + (35 - 2) + -26?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 48 and 3479058.\nAnswer: 27832464","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 35748*l - 35748*l + 2*l**2. Let y(x) = -3*x**2 + 54*x + 5*x**2 + 14*x. Determine w(y(s)).\nAnswer: 8*s**4 + 544*s**3 + 9248*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 96259 to the nearest integer?\nAnswer: 310","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6136? (a) 0.2 (b) 0.1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r**3 + 7*r**2 - 20*r + 41. What is v(5)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*m**2 - 8*m**2 - 9*m**2 + (-5*m + m + 2*m)*(2 + 2 - 5)*(-4*m + m + 2*m).\nAnswer: -5*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -i**3 - 4*i**2 + 4*i + 6. Let u be 4\/2 - (-6)\/3. Suppose 21 - 1 = -u*r. Is h(r) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 113.89 + 21.52. Let p = h + 2.59. Let m = -137.9813 + p. Round m to three dps.\nAnswer: 0.019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00116088 rounded to 4 decimal places?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 5394563 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 48 and 270?\nAnswer: 2160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = f**3 + 5*f**2 - 7*f + 2. Suppose 5*j - 71 = 2*h + 244, 5*h + 750 = 5*j. Let l = -151 - h. Give t(l).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-128)\/24 - -4)*(-6)\/4. Suppose q*n + 11*z - 6*z - 47 = 0, -5*n + 60 = z. Put n, -15, -1 in descending order.\nAnswer: n, -1, -15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3, -17, -55, -123, -227, -373, -567?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2\/5)\/v)**(20\/13)\/(v**7*v**7)*(v*v\/(v*v\/v**(-1)))**(-9\/4)\/((v**(-1)\/v)\/v)**33 assuming v is positive.\nAnswer: v**(4425\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2829 and 1599.\nAnswer: 4523571","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -34277\/92 - -1483\/4. Let y = j + 8371\/138. Let u = y - 59. Is u <= -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 105155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of -r**6\/360 + 16*r**3\/3 - 15*r**2. Let y(h) be the first derivative of q(h). Let c(g) = 5*g**2 + 4*g. Calculate y(c(j)).\nAnswer: -25*j**4 - 40*j**3 - 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 54519 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1 + -1 + -1 + 3. Let f be -1*4*(-21)\/12. Let i = -2 + f. Solve j = 5*o - i*z, 1 + 4 = -5*z for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 53 = -2*z, -6 = -4*z - 2. Calculate the least common multiple of 3 and (-31 - u)*1\/(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4223 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i + 21 = -3*s, 12*i - s = 7*i - 5 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/(-10))\/((-11)\/55). Suppose -2*z + 12 = -h, 3*z + 2*h = 4 + 7. Which is the second smallest value? (a) 0.2 (b) r (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s - 1. Suppose -2*a + 6*a - 40 = -4*i, 0 = a - 4. Let v be d(i). Let g(u) = -u + 7. Calculate g(v).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (16\/20)\/((-2)\/(-5)). Suppose 27 = q*v + v. What are the prime factors of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17*k = -4*k - 117. Suppose 0*j = 3*p - 3*j - k, -4*j = -3*p + 7. Suppose -5*y - 15 = -5*q, 2*q - 17 = 3*y - 3*q. Put y, 0, p in ascending order.\nAnswer: 0, y, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c**5 + 438*c**4 - 19404*c**3 + 186560*c**2 + 206400*c = 0. What is c?\nAnswer: -258, -1, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3400 + -3402. Which is the biggest value? (a) k (b) 0 (c) 0.04 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n - 3*u = -36 + 6, n - 8 = u. What is the units digit of (-194)\/3*n\/(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = 2*f - 6. Let m(q) = 2*q - 5. Let i(t) = 6*m(t) - 5*v(t). Let x(k) = -11*k**2 - 1. Let o(w) = 2*w**2 + 1. Let c(g) = o(g) + x(g). Determine i(c(n)).\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -136 - -684\/5. Let -2\/5*p + n - 2\/5*p**2 = 0. Calculate p.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.0168 and -15.31497237?\nAnswer: 15.33177237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8 + 14)*(-3 + 188\/(-8)). Do -159 and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-112)\/16 - 37)*(-81)\/4.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 19*b. What is the remainder when x(1) is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 3*i + 54 = 39, -3*i - 13 = -5*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13701999?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 5152?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 + 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: a (base 16) to base 13\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(6\/5)*a**(-21)\/a*a*(a*a*a**(2\/35)*a)**2 assuming a is positive.\nAnswer: a**(-479\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 13\/5 of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-18478 + 36896 + 6*c - 18473)*(-1 + 1 + 2*c)*(2 - 3*c + 2*c + 3*c) as u*c**2 + q*c + l + s*c**3 and give s.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 154. Let d = 146 - j. Solve -2*c = 4*r - 8, 2*c = -0*c - 5*r + d for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 965333 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -5 (b) 2\/13 (c) 1179 (d) 0.2 (e) -12 (f) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/9 - 50\/225. Solve -3*t + 4*m + 21 - 17 = b, 0 = 4*t + 4*m + 32 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 21*s**2 + 46*s + 16. Give q(-23).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1799803885 to the nearest integer?\nAnswer: 1216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -628*o + 890*o - 2591*o - 5109*o - 2022*o in the form l + h*o and give h.\nAnswer: -9460","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*i + 156*i**2 - 7*i + 115 - 8*i - 171*i**2 as d*i + h*i**2 + u and give u.\nAnswer: 115","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -u - 3. Let i be s(-7). Suppose 128 = i*n - 5*q, -4*n = 3*q - 172 + 12. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = 2369 - 2433 for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*c**2 - c**2 - 3*c**2)*((-c - 2 + 2)*(-4*c + 2*c + 3*c) - 6*c**2 - 3*c**2 + 16*c**2) to the form s*c**4 + i*c + y*c**2 + p*c**3 + g and give s.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -144*u - 15 = -129*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.2, 244, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.3 and -0.195.\nAnswer: -0.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*q = -4 - 21 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -18*d*t**3 + 77*d*t - 6110*t**3 + 2 wrt d?\nAnswer: -18*t**3 + 77*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 453967, 454065, 454229, 454459, 454755, 455117, 455545?\nAnswer: 456039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10000000011 (base 2) to base 11.\nAnswer: 854","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 + 12 = 3*o, 4*d + 3*o = 29. Suppose 2*f - v + 3*v - 128 = 0, 93 = 2*f - d*v. Suppose f = -3*j + 155. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4)\/(-14) - (-108)\/(-231). Let l be -4*(-7)\/(-28)*-7. Let f = 7 - 10. Sort l, 0.3, f, a in increasing order.\nAnswer: f, a, 0.3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 3 + (-1 + sqrt(63) - sqrt(63)) - ((-2 + 1*sqrt(175))**2 - (sqrt(175) + -1)*3).\nAnswer: -185 + 35*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 4*v = 0. Suppose v*x - x = 0. Suppose x = -k + 5*q + 6, 4*q - 1 + 25 = 2*k. List the prime factors of k.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -10*g. Let i(j) be the second derivative of -4*j**3 - 25*j**2\/2 + j - 16. Let a(u) = -60*u - 60. Let r(l) = 5*a(l) - 12*i(l). Give r(c(y)).\nAnswer: 120*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.7548 rounded to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-6*sqrt(800)*1)**2.\nAnswer: 115200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 315 and 756.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by 116603\nAnswer: -4\/116603","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**3 + 10*s**2 + 32. Let c be v(10). What is the highest common factor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8075925 - -31094107. Let h = -13868182 + g. Round h to the nearest one hundred thousand.\nAnswer: 9200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y**2 + 8*y - 2. Let f be l(3). Let v(o) = -12*o - 4 + 4 + f*o. Let t(u) = -3*u. Calculate v(t(g)).\nAnswer: -57*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -5*m**2 + 4. Let h(q) = 5*q**2 - 3. Suppose -12*r + 10*r - 6 = 0. Give r*o(u) - 4*h(u).\nAnswer: -5*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-49)\/(2107\/129))\/(20\/(-4))?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -801 (base 9) in base 3?\nAnswer: -220001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*s + 27*s = -50. Let q be (-1 - 2*-1)\/1. Suppose 0 = -5*g - 3*i + 11, 0 = -s*g - i + 8 - q. Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g + 4 + 2 = 0. Let z be (-149922)\/6 + g + -1. Let o = z - -99989. Round o to the nearest 10000.\nAnswer: 80000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11 = -4*w - 10*d - 1, 374*d - 8 = 370*d for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) be the first derivative of -5*m**4\/3 - 40*m**3\/3 - m**2 + 17*m - 110. Let d(a) be the second derivative of p(a). Differentiate d(i) with respect to i.\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = p**3 - 5*p**2 + p + 3. Let g be i(4). Let l be (0 - 67\/5)\/(7\/(-35)). Let f = g + l. What is f rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 19\/81 and 1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -251605, -251606, -251607, -251608, -251609?\nAnswer: -251610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(539) + 1 + sqrt(539) - sqrt(440)\/sqrt(90))*-1.\nAnswer: -40*sqrt(11)\/3 - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-16)\/56 + 14261\/8190 and 125\/126.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p + 107*x = 113*x - 8, 3*p - 7*x - 6 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22354?\nAnswer: 2, 11177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(153) - -6*sqrt(153)*-2 - sqrt(153))\/(3*sqrt(225)).\nAnswer: -4*sqrt(17)\/5 + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m + 26 = 39. Let d = 18 - m. Suppose 8 = b + d. Solve -3*i = -3*f + 3, b = 3*f + 2*i - 5 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.03 - -1.03. Which is greater: -0.17 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 10, y: 6, z: 2}. Give prob of picking 3 y.\nAnswer: 5\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times 58.4?\nAnswer: -5.84","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 0.016858 weeks?\nAnswer: 10195718.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Do 3991043 and 3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 15 = -2*s - 10, 3*s + 5*z + 10 = 0 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -12*a**2. Let c(m) be the first derivative of -2*m**3\/3 + 1. Determine r(c(d)).\nAnswer: -48*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/42840 and -101\/180?\nAnswer: 42840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:25 AM and 4:29 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 3*t = -11. Suppose 0 = -2*h - 7 + 1. Sort h, t, 3 in descending order.\nAnswer: 3, h, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 4, -26, 56, -44 in ascending order.\nAnswer: -44, -26, 1\/7, 4, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 - -2. What is the units digit of 4 + (-3 - -1 - m)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 85 + 5. List the prime factors of 1 + (3 - 3 - i).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 114259, 114201, 114141, 114079?\nAnswer: 114015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let l be (-3)\/(((-8)\/6)\/4). Let y = l + -7. Which is smaller: 10\/7 or y?\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.2, -4, -7\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 1061?\nAnswer: -1058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y = -2*o - 10*y - 10, 12 = -5*o - 4*y. Let i(u) = -2*u**3 - 6*u**2 - 16*u - 38. What is the remainder when i(o) is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*j**3*q**2 - 8*j**3*q*t**3 - 36*j**3*t - j**2*q**2 + 3*j**2*q*t**3 - 2*j**2*t**2 - 116*q**2*t wrt j?\nAnswer: -12*q**2 - 48*q*t**3 - 216*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -221211001120 (base 3) in base 13?\nAnswer: -14a3ab","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 374567827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4601 a factor of 649790028?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2 + 4*t + 2*t - 3 + 1. Is u(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 243 in 2\/305, 1, 1\/3, 5, 0.2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -36, -24, 1, 21 in increasing order.\nAnswer: -36, -24, 1, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + ((-20)\/(-22))\/(-5).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 647271.\nAnswer: 3, 61, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 35.563 - 0.063. Let r = a + -35.9. Sort r, 31, -4 in descending order.\nAnswer: 31, r, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12, -21, -100, 5\/4, 3?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 + 7. Let k = 2 + u. Solve -2*m - k*o + 23 = 0, m - o - 9 = -2*o for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 218851, -2, 1, -4, -3 in decreasing order.\nAnswer: 218851, 1, -2, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 32*a + 6 - 25*a - 118*a + 327*a - 13.\nAnswer: 152*a - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 2\/17570915?\nAnswer: 2\/17570915","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17009*s**3 - 4*s**2 + 2*s - 2104.\nAnswer: 102054","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 n when two letters picked without replacement from {p: 1, n: 1, m: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -51*z**4 + 11*z**2. Let h(k) = 34*k**4 - 7*k**2. Let s(r) = -8*h(r) - 5*m(r). What is the third derivative of s(y) wrt y?\nAnswer: -408*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 1610620, 3221236, 4831852, 6442468?\n\"Answer: 1610616*j + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Round -11720400 to the nearest 1000000.\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pc when two letters picked without replacement from gcpcp?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 + 2*n**2 - 4*n - 3. Let b be i(-2). Let k = 3 + b. What is the highest common divisor of k and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -122161, -244136, -366111?\nAnswer: -488086","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -122 - -1345\/11. Which is smaller: j or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.06412 to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 490857?\nAnswer: 3, 131, 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.137666 rounded to 3 dps?\nAnswer: 0.138","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -3*d**2 - 31*d - 26. Give h(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 4*((2*sqrt(11))**2 + -3)*-2 + 2.\nAnswer: -328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = -r**3 - 7*r**2 - 5*r + 5. What is d(-6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((s*s**(2\/3))\/s)**(-12\/13))**27)**(-9\/8))**0 assuming s is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 4187*d**4 + 650?\nAnswer: 16748*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven quarters of a litre?\nAnswer: 6750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.34 + -1.28. Let u = o - -1.42. Are -0.37 and u non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/7 (b) 1\/1722 (c) -3\/7 (d) 3 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 14\/21*18\/4. Suppose 4*q = 3*o, s*q - 5*o - 17 = 2*q. Suppose 0 = 3*n - 4*r + 2 + 7, 3*r = 0. Do q and n have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111.5413 rounded to 1 decimal place?\nAnswer: -111.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1466387 - 5?\nAnswer: -1466392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 8:59 PM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 41\/6232*38*(12\/(-9))\/((-5)\/(-15))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38 + 10*n + 38)*(-24*n + 11 - 11 + 0*n + 0*n + n + (-1 + 1 - 1)*(3*n + 2*n - 6*n)).\nAnswer: -220*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.98 + -4.18. Which is the nearest to -0.2? (a) -1.7 (b) w (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -45658545\/26 < -1756098?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in z + 106 - 32 + 70 + 0 - 3*z**2.\nAnswer: -3*z**2 + z + 144","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 2, -1, -4.\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -z**3 - 75*z**2 - 480*z - 268. What is p(-68)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*h - 4*h = 8. Let a = 9 - h. Suppose -a*v + v + 4 = 0. Is -4 less than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -x + 6. Let s = 30 - 21. Let z(o) = 9*o - 76. Let t be z(s). Suppose 0 = 4*q - t*q. Determine m(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u + 0*u)*(33*u**2 - 18*u**2 + 12*u**2) in the form y*u**2 + l*u + o + f*u**3 and give f.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -3*c**2 + 38*c + 1. Let v be r(12). Suppose 0 = -v*k + 23*k + 528. Is k a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1351, 1347, 1343, 1339?\nAnswer: 1335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (-1*sqrt(160)*6 + sqrt(160))\/((sqrt(80)\/sqrt(4))\/sqrt(4)) + 1.\nAnswer: -20*sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 15.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**4\/19 - 50*v**3\/19 + 24*v**2\/19 + 576*v\/19 = 0.\nAnswer: -3, 0, 4, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8930181.88 - 5.\nAnswer: 8930176.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 38773797053 + -0.5\nAnswer: 38773797052.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -42 in -2\/13, 0, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -10*y**3 - 7*y. Let t(z) = -16*z - 471. Let c be t(-29). Let n(h) = -11*h**3 - 6*h. Give c*n(u) + 6*j(u).\nAnswer: 17*u**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -4, 220, -12, 2 in increasing order.\nAnswer: -12, -4, -3, 2, 220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(121)*-1*-2*4)\/(sqrt(44)\/sqrt(4)*3*-4)*-5.\nAnswer: -10*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5 - (-4)\/(20\/15). What is the greatest common factor of y and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3961000 rounded to the nearest one million?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3010200 + 2?\nAnswer: -3010132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tqqt when four letters picked without replacement from {q: 6, f: 2, g: 3, a: 1, t: 5, c: 2}?\nAnswer: 25\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 2 - -1 - (9 - 2). Let p(t) = t**2 + 2*t - 4. Let j be p(d). Let k(q) = -6*q**3 + q**2 - 4*q + 4. Let g be k(j). What is g rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -20*g**3 - 6*g**2 - 5*g - 2. Let n(y) = 7*y**3 + 2*y**2 + 2*y + 1. Let f(a) = -17*n(a) - 6*s(a). Give f(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4387369?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188.7457 millennia to centuries.\nAnswer: 1887.457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 90379 is divided by 45168?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 11*v**3 - 18*v**2 - 14*v - 14. Let r(a) = -4*a**3 + 6*a**2 + 5*a + 5. Let x(l) = 8*r(l) + 3*s(l). Give x(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 10, k: 9}. What is prob of sequence fffk?\nAnswer: 45\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*v + 53 = -22. Suppose -34*w - v*w = -507. Calculate the remainder when 55 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 1553123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -4, -0.4, -3, -1.2, 6136, 0.31?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(6*(sqrt(19) - -3*sqrt(19)) + (sqrt(19)*-3 + -1 - sqrt(19))).\nAnswer: -2 + 40*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -q - 2 - q**2 - 4*q**3 + 0*q**2 - 2*q**3 + 3*q**2 to h*q + n + t*q**3 + j*q**2 and give t.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a factor of 3360?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 2*o**2 - 26*o - 20. Calculate the lowest common multiple of 86 and g(14).\nAnswer: 344","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-20878)\/198 - 12\/(-27). Let u = z + 123. What is the remainder when 85 is divided by u?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pnnn when four letters picked without replacement from {l: 1, n: 4, j: 3, p: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 - -12. Let i be (q\/(-26) - 198\/572)*0. Calculate the common denominator of -2*18\/(-40)*(i - 9) and 43\/14.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.3 (b) 0.054 (c) 5 (d) 0 (e) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v**5 + 2*v**5 + 0*v**5)*(-2025 + 768 - 2998 + 217).\nAnswer: -12114*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k - 3*k + 0*k)*(2 - 1 - 2)*(11 + 46 + 0 + (-1 + 2 + 1)*(-2 - 2 + 2))*(2*k**2 + k**2 + 0*k**2).\nAnswer: 318*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16891, 33778, 50663, 67546?\nAnswer: 84427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -1 - ((-125 - 1) + -332 + 333 - -24)?\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, 5, -7, 7, -2 in ascending order.\nAnswer: -8, -7, -2, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(-2)\/n*n)\/n*n)\/(n*n\/((n*n**(-2))\/n)))\/(n**6)**17 assuming n is positive.\nAnswer: n**(-107)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*x**5 - 13816*x**4 + 12012772*x**3 - 142829488*x**2 + 569554624*x - 758231296.\nAnswer: 4*(x - 1721)**2*(x - 4)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2592)*-3*1)\/(-5*(sqrt(96) - (sqrt(96) + -4*sqrt(96)))) + 5.\nAnswer: 9*sqrt(3)\/20 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2274491 or -2274492?\nAnswer: -2274492","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -6. Suppose 5*b - 131 = t*n, 3*n + 99 = b - 16. Let c = -22 - n. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 310\/13 at most as big as 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 18, 6, 17, 1 in decreasing order.\nAnswer: 18, 17, 6, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33 = 3*c + 3*f - 0*f, 91 = 5*c + 11*f for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4215 = 267*s + 858 for s.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/105 - (1 - 26\/30)\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4339, 34596, 116693, 276550, 540087, 933224, 1481881, 2211978?\nAnswer: 3149435","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 6115?\nAnswer: 6125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.06 + -20817650511182.\nAnswer: -20817650511181.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 333*l + 14662. Calculate x(-44).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2704 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-10)*699\/(-114). Let t = p - 1\/76. Sort t, 0.3, 1\/4.\nAnswer: 1\/4, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -65d45 (base 16) in base 13?\nAnswer: -117b01","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 978723.619 less than 175.794?\nAnswer: -978547.825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -26*g + 41. Let a be d(16). Let p = a - -682. Suppose 0 = 5*n - f - p, 5*f - 75 - 98 = -3*n. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 1, -1\/6?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -2*l + 7. What is x(-6)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.4, 0, 3, 0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 11321 - 2003?\nAnswer: 4313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 138, 0, 1 in decreasing order.\nAnswer: 138, 1, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13441301 + 310?\nAnswer: -13440441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-135)\/(-19))\/5 - 1. Is 0 less than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -1. Let s be (-1)\/(-2)*(-18)\/9. Let w(a) = 2*a - 6. Give s*w(u) + 8*z(u).\nAnswer: -2*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4*(-1)\/(-56)*-7. Put -3, t, 0.4, -2\/3, 0.6 in decreasing order.\nAnswer: 0.6, t, 0.4, -2\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 7:49 AM?\nAnswer: 11:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 12910 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the third derivative of -p**4\/24 - p**2. Let u(k) = -k + 4. Let v be u(2). Let l(x) = -8*x - 1 + v - 1. Determine s(l(f)).\nAnswer: 8*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*p**2 + 7*p**2 - p**2 to the form o*p**2 + u*p + f and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b\/((b\/b**(-2))\/b))**20*(b*b*b**(-2))**(-3\/7) assuming b is positive.\nAnswer: b**(-20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12077 (base 8) to base 4.\nAnswer: -1100333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from waawataaaawwwwt. Give prob of sequence twwa.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f. Determine q(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -250282, -248025, -244264, -238999?\nAnswer: -232230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -5*d**2. Let a(s) = 108*s**2 - 3*s + 3. Let l(h) = -215*h**2 + 5*h - 5. Let b(j) = -5*a(j) - 3*l(j). What is b(r(n))?\nAnswer: 2625*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 46\/(-3) + (-1)\/(-3). Let p = 445 - 360. Let z = p - 100. Is m > z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10060*b - 10059*b - 3 + 20119*b - 122*b**2 as u + s*b + p*b**2 and give u.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = 38*t + 40*t + 42*t + 40*t - 159*t. Let p(b) = 358*b + 1. Give p(d(o)).\nAnswer: 358*o + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 0*c = 2*c + 6, 0 = -2*v - 2*c + 8. Determine j, given that 21*j**v + 13*j + 21*j + 2*j - 12 = 0.\nAnswer: -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 12, 3, -13\/3, 0.26, -0.3?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 217 minutes after 5:25 AM?\nAnswer: 9:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6285\/4 (b) -43 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/29, -0.0088, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -87345*b + 87340*b + 5*t + 25, 43*t = -3*b - 169 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2332.635 and -0.5.\nAnswer: 1166.3175","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -119039 divided by 10.\nAnswer: -119039\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4733270.0351 - -4732952. Let p = 318 + x. What is p rounded to three dps?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 6 - (-30)\/(-5) - 8\/(-10). Let y be 9\/6 + 2\/(-4). Which is the smallest value? (a) w (b) 4 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2724043 is divided by 908009.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 81, 164, 249, 336?\n\"Answer: m**2 + 80*m","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.1 (b) 0 (c) -5\/4 (d) 29963\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 46*q**3*s + q**2 - 2*q*s - 6833*s wrt q.\nAnswer: 138*q**2*s + 2*q - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 2.25 times -0.1\nAnswer: -0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 234650975 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*o - 24, 2*o - 39 = -2*o - 5*m. Solve n - o + 2 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w + 1. Suppose 148 = -3*k - 4*b, 0 = -4*k + 2*b - 81 - 153. Let z(s) = 12*s**2 + 28*s + 28. What is k*a(m) + 2*z(m)?\nAnswer: 24*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -15.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 3.2.\nAnswer: 6.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4606320 is divided by 1476.\nAnswer: 1200","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-24)\/9*-3 - (-1512)\/(-180). What is the third biggest value in v, 3, -11\/16?\nAnswer: -11\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i - 2. Let f(j) = 1. Calculate b(a) - 3*f(a).\nAnswer: -a - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes before 5:23 AM?\nAnswer: 1:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.153 and -14.224.\nAnswer: -14.377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -936 - -761. Put -1\/2, 2, 3, l in descending order.\nAnswer: 3, 2, -1\/2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*f + 24 = 3*i, 5*i + 64 = 3*f + 72 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*-0.7.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 770 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1661 (base 11) in base 10?\nAnswer: -2124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 510620?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1159226707 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand h**5 + 3*h**5 - 6*h**5 + (-3*h**4 - 2*h**2 + 2*h**2)*(-5*h + 53 + 4*h - 72).\nAnswer: h**5 + 57*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/9*111\/518.\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -257 - -262. Calculate the highest common divisor of y and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -128.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 19 = -41. Suppose -g = -2*g + n. Suppose g = t - 20. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -946615, -947839, -949063, -950287, -951511, -952735?\n\"Answer: -1224*f - 945391","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1144?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 57018.84nm to meters.\nAnswer: 0.00005701884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 7, -3, 11, 0, -9 in descending order.\nAnswer: 45, 11, 7, 0, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -k**3 - 6*k**2 - 2*k - 5. What is q(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (132\/594)\/((-8)\/(-90))*(-12)\/(-10). Let l(z) = z + 8. Let n be l(-4). Is n greater than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 96211, 189187, 282163, 375139?\nAnswer: 468115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -d**3 - 9*d**2 - 4*d + 4. Let y be -6*(-1 + 4\/8). Let s be (4 + -7)*(y + 0). What are the prime factors of a(s)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 21 (b) -0.4 (c) 5 (d) -0.3 (e) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -6\/7 (b) -0.4 (c) -0.152\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 353 - 351. Let c(n) = -8*n + 83*n**2 + 79*n**o + 6 - 161*n**2. Determine c(7).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(-4)*l))\/(l*l*(l\/(l\/l**3*l))\/l))**37\/((l*l**(-1))**1*l**(1\/3)\/l**5) assuming l is positive.\nAnswer: l**(125\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = -49*d**2 - 15*d + 5. Let w(f) = 24*f**2 + 7*f - 2. What is -3*t(s) - 7*w(s)?\nAnswer: -21*s**2 - 4*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zr when two letters picked without replacement from {s: 1, z: 1, r: 1}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 4*p + 1. Let v(q) = -4*q - 1. Determine -3*k(d) - 4*v(d).\nAnswer: 4*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2 + 1 + 4*15. Suppose -q + 3*r + 30 = 0, 0 = 2*q - 4*r + r - m. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvt when three letters picked without replacement from {u: 1, i: 4, n: 2, t: 3, v: 9}.\nAnswer: 12\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4509 is divided by 411?\nAnswer: 399","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 440316\/8 - (-17)\/((-238)\/(-21))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 234 and 53118?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -132 (base 4) to base 9.\nAnswer: -33","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 107 is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259 by -4058.\nAnswer: -259\/4058","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8762 is divided by 313.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 6*s**2 - 5*s - 6. Let h = 10 - 0. Let u(i) = i**2 - 5*i + 6. Let z be u(4). Let o(w) = w**2 - w**2 + z*w**2 - 1 - w**2 - w. What is h*o(d) - 2*a(d)?\nAnswer: -2*d**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find i, given that -5*i**4 + 525115*i**3 + 22063650*i**2 = 0.\nAnswer: -42, 0, 105065","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 42 - 30?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 749.\nAnswer: 123\/749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7480 and 4420?\nAnswer: 97240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-65))\/(1*2\/10).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*l**2*o*v**3 + 271118*l**2*o + o*v**3 + 4*o*v**2 + o - 18724 with respect to l.\nAnswer: -4*l*o*v**3 + 542236*l*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 644 - 1287 + 643 - 1220*q**2.\nAnswer: -1220*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -338524 or -338562?\nAnswer: -338562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 0\/(-2 - (0 + 1)). Suppose -2*n + 25 + 15 = t. Does 5 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 2:25 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19900\/(-400))\/(21\/(-12)) - (-32)\/56?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) + 6*sqrt(66)*1 - sqrt(66))*-6)\/(sqrt(486)*-1*-2)*4.\nAnswer: -8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*t**3 - 14*t**3 - 8*t**3 + 1838*t + 35*t**3 - 1838*t - 14*t**3.\nAnswer: -t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) be the first derivative of 2*r**3 + 1. Let y(z) = 13*z**2 - 4*z - 4. Let i(m) = 30*m**2 - 9*m - 9. Let x(a) = 4*i(a) - 9*y(a). Determine o(x(v)).\nAnswer: 54*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 505395?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 6\/(-30) + (-357952)\/(-10). Suppose j = 42*z - 37*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -29183 + 1984671\/68. Let w = 78\/17 - v. Which is the third smallest value? (a) 2\/17 (b) -3\/7 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 23047207 or 23047208?\nAnswer: 23047207","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.1 (b) 4 (c) 2 (d) 5 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:31 PM and 3:07 AM?\nAnswer: 576","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 12:21 AM?\nAnswer: 101","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qqqq when four letters picked without replacement from qmmqmqqmqmqqqqmm.\nAnswer: 9\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 5*x = 2 + 3, -4*x + 14 = -5*h. Let k = 81550 + -81548. Sort h, k, 17.\nAnswer: h, k, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 + 24153143?\nAnswer: 24153141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1135931 - 0.1.\nAnswer: 1135930.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22977, 23238, 23499, 23760, 24021, 24282?\nAnswer: 24543","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 89*f - 16. Let w(r) = -89*r + 21. Give -4*j(m) - 3*w(m).\nAnswer: -89*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u**15\/u)*u\/(u*u**(-3\/2)))**(-2\/11) assuming u is positive.\nAnswer: u**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113*w - 106*w + 17 - 17.\nAnswer: 7*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pttffzju. What is prob of sequence jtp?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m and 2 a when three letters picked without replacement from aqqmqaqqmmm?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of 2*z**3\/3 - 30. Let f(q) = 13*q. Determine g(f(t)).\nAnswer: 338*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 399 and 42?\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*n = -5*n + 12 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*2\/9)\/((16\/(-156))\/2)?\nAnswer: 13\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r\/(r**4*r)))\/r*r**(1\/2))\/(r**(1\/4)\/(((r*r\/(r*r\/r**5))\/r)\/r)) assuming r is positive.\nAnswer: r**(33\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/28194 and 48\/2786507.\nAnswer: 16719042","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 1630?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*g + 0 - 2*g + 4*g + 5 in the form u + j*g and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 14*k + 33. Let u be v(-16). Find the common denominator of 68\/(-18) - u\/(-2) and -91\/6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -25*c**2 - 30*c + 1. Let t(r) = -225*r**2 - 270*r + 10. Let q(z) = 55*i(z) - 6*t(z). Factor q(l).\nAnswer: -5*(l + 1)*(5*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + -4*sqrt(68)\/(-1*sqrt(36)) + (sqrt(34) - (sqrt(34) + sqrt(136)\/sqrt(4)*6))\/(sqrt(2) - 2*sqrt(2)*1).\nAnswer: -3 + 22*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1594477 to the power of 1\/2, to the nearest integer?\nAnswer: 1263","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 150?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = k + 6. What is the third derivative of 56*h**3 - 56*h**k - 18*h**2 + 7*h**4 wrt h?\nAnswer: 168*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 1503, 2555, 3607, 4659, 5711, 6763?\n\"Answer: 1052*d + 451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 11*g**2 + 12*g**2.\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171003?\nAnswer: 3, 7, 17, 479","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 7, t: 6}. Give prob of picking 1 t and 1 v.\nAnswer: 7\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = k**3 + 70*k**2 + 265*k + 13. Let i be d(-66). Is i smaller than -28?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17004464 - -1.4?\nAnswer: 17004465.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**2 - 151*s - 302. Let l(q) = 4 - 10*q + q**2 - 2*q**2 - 4 + 8. Calculate the smallest common multiple of m(-2) and l(-10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 2462*h. Let s(l) = -8*l**2. Calculate w(s(g)).\nAnswer: -19696*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 835753081 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 47740507, 47740488, 47740469?\n\"Answer: -19*p + 47740526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence eez when three letters picked without replacement from zeezzzze?\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104368473.\nAnswer: 3, 11, 127, 2767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-1378)\/(-12) + 6\/36. Calculate the greatest common factor of f and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p - 5. Let c(j) = 3*j - 8. Let y(h) = 5*c(h) - 8*r(h). Let d(t) = -4*t - 2*t + 10*t - 5*t. Determine y(d(f)).\nAnswer: f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4 - 4*x + 4 + 2*x + 2*x - 2*x + (0*x - x + 3*x)*(-3 + 7 - 2) + 0*x - 1 + 3*x + 0*x + (-1 - x + 1)*(2 + 3 - 6).\nAnswer: 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 58949, 235753, 530433, 942995, 1473445, 2121789, 2888033?\nAnswer: 3772183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 558391183?\nAnswer: 7, 3697, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) be the first derivative of 257*h**5\/5 - 2*h**3\/3 + 24*h - 87. What is the first derivative of n(r) wrt r?\nAnswer: 1028*r**3 - 4*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 29 = 11*j - 3*j + 5 - 9, -4*p + 0*j = -4*p - 4*j for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is (40\/50)\/2*15*(-4)\/8?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 38*m + 20. Let g be j(6). Solve -3*w - 5*w - g = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 41.9 - 285.9. Let k = r + 244.0000312. What is k rounded to six dps?\nAnswer: 0.000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 + 2*y - 1. Suppose 4*g - 1 = 3*g. Let h be v(g). Suppose -3*w = -h, -4*w + 96 = 3*s - w. What is the tens digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2038\/16 + (9 - 10). Let q be (-125)\/(-4)*2*-2. Let a = n + q. What is the common denominator of a and 68\/9?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - 1 - (-6 + 6). Let g(b) = -2*b**3 - 12*b**2 + 31*b + 189. Let n be g(-6). Solve -o + 1 + n = j for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -17 + 416c2?\nAnswer: 416a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2)*1 - (-3 + sqrt(2)*4)) + 3)**2.\nAnswer: -36*sqrt(2) + 54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (9\/(-18))\/(2\/(-24)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (15 - 7) + -18 + (-2 - -44 - 6)?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 67 = 3*a + 2*a, 0 = 5*a + 3*o - 71. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -3053\/5 (c) -4 (d) 2 (e) 4 (f) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*r - 3*r - 12*r + 6*r.\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 5, u: 5, m: 2}. Give prob of picking 2 b.\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 55 - -3. Is 51 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1 + (-2 + 0)\/1. Let v(k) = 5*k**2 - 3. Let o(y) = 4*y**2 - 3. Let z(q) = h*v(q) + 4*o(q). Find the first derivative of z(s) wrt s.\nAnswer: 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17 - 22. Calculate the remainder when 28 is divided by -15*(3 + o + 1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68\/3 + -22. What is the closest to -0.1 in g, -1\/11, 0.5?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*(x**(-1\/25)*x)\/x)**(-26)\/((x**(-22\/3)\/x*x)\/x*x**(2\/125)\/x))**7 assuming x is positive.\nAnswer: x**(-41062\/375)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0*212916.1\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164639901?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 61 + -431. Let p = q - -617. Is p composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (-3 + ((-1 + 1 + sqrt(1700) + -2)*-4 + 0)*5)**2.\nAnswer: -14800*sqrt(17) + 681373","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 657 minutes before 6:59 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/66)\/(((-2)\/12)\/(20\/(-60)))?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*v + 2*v - v**2)*(0 - 2 + 3)*(-1 - 1 + 1) to the form m + l*v**2 + n*v and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 3\/5 of a day?\nAnswer: 51840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvjjjkzxjppvvv. What is prob of sequence ppjk?\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2502, 3865, 6136, 9315, 13402, 18397?\nAnswer: 24300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4)\/(-1)*4\/(-16). Let b(o) = -o + 11. Calculate the remainder when (c + -2)\/(66\/(-440)) is divided by b(0).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 12, 21, 28, 33, 36, 37, 36?\n\"Answer: -y**2 + 12*y + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -862306, -41 in descending order.\nAnswer: 5, -41, -862306","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.072 - -0.392. Let a = z + 0.66. Round a to 1 dp.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*n + 12*n + 1042 + 596 = 0. Calculate the remainder when n is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -4*a + 0*a + 5*a. Let p(v) be the first derivative of 11*v**3\/3 - 1. Determine f(p(y)).\nAnswer: 11*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -143, -436, -923, -1604, -2479?\n\"Answer: -97*w**2 - 2*w - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-2112)\/(-56) + 2\/7?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -137*a**2 - 4*a + 1. Let q(r) = -r**2 - 4*r - 3. Let s be q(-4). Let j be t(s). Round j to the nearest one hundred.\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 225\/54 - 2\/12. Suppose 4*j - 2*g = 202, -s*j = -j + 5*g - 158. Is 8 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22.418 - -0.082. Let g = y + -22.50431. What is g rounded to 4 decimal places?\nAnswer: -0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -4, -1\/834, 2\/21, -4\/7, -7\/5, 0?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13\/4 - 45\/8. Calculate the common denominator of k and -87\/4.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3\/22 - -65\/154. Let p be (-240)\/25 + (-2)\/5. Let g be (-5)\/(-4)*(-4)\/p. Sort k, 0.6, g in decreasing order.\nAnswer: 0.6, g, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 7935.1 and -3539.\nAnswer: 4396.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 11.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 45 - -3?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u - 4*w + 43 = 11, -4*w - 112 = 32*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -293.42 - 0.58. Let d = -307.1 - q. What is d rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 0. Let f(q) = 5*q**2 + 1 - u*q + q**3 - 5*q**2. Suppose -4*z - d - 4 = 0, z - 6*d = -3*d - 14. Determine f(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*t - 33492 - 134*t + 33492 - 15*t**2.\nAnswer: -15*t**2 - 163*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - s. Let k be d(1). Let x = -291.7 + 17.7. Let t = 281 + x. Which is the biggest value? (a) k (b) t (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 4. Let q(b) = 27*b - 450. Let r(w) = -4*w + 64. Let i(j) = -2*q(j) - 15*r(j). Let v be i(10). What is x(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5190 divided by 9697\nAnswer: -5190\/9697","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7420129 by -69347.\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 651 - 214. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -689, -1285, -1885, -2489, -3097, -3709?\n\"Answer: -2*r**2 - 590*r - 97","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(17)*2 - sqrt(17) - 2*sqrt(17)*6)**2 - 1*(sqrt(153) - -2*sqrt(153))\/sqrt(9)) + 1.\nAnswer: -3*sqrt(17) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -329146, -329220, -329416, -329794, -330414, -331336?\n\"Answer: -10*j**3 - j**2 - j - 329134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 319*j - 385 + 1085 = -1214 for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 12*r**2 - 27*r + 27*r.\nAnswer: 12*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rjjkj. What is prob of sequence rjrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -720 divided by -240.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1)\/r*r*r**6)\/(r\/r**4*r**(3\/5)))**12 assuming r is positive.\nAnswer: r**(444\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = 7*s - 28. Let m(f) = -2*f - 6. Let z be m(-5). Let u be x(z). Solve -2*n + 3*n = u for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 44 and 1001.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-13)\/(-6) + -2). Suppose 0 = k*l - l - 1. Let z = 12\/7 + -3\/14. Is z <= l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**3 + 7*m**2 + 11*m - 16. Let z be y(8). Suppose 0 = 2*l - 5*u - 26, -u = 4*l - z - 0. What is the highest common divisor of l and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 173 - 278 + 14 - 15*y to v*y + r and give v.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -10*c + 145. Let f be n(35). Let z = -59 - 145. Which is bigger: z or f?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1.3 - -1.2. Let y be (-3)\/(132\/80) - (-2 - 2). Is r smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -8617026 and -8617026 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (-8 - -3) - -899 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 84 = -4*g - 22, -3*g + 3*y + 51 = 0. What is the greatest common divisor of 266 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 115504450*v**3 - 24*v**2 - 448736*v wrt v.\nAnswer: 693026700","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = 2*u**2 + 52*u + 288. Let n be m(-18). Let x(r) = -r**3 + 2*r**2 - 2*r - 54. Calculate x(n).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 11340 = -o, -12*s + 16*s - 11340 = 4*o. What is the units digit of s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-149 + 322 + 89 + 442 - 1)*(-1 + 1 - 6)*(2*y - 5*y + 5*y).\nAnswer: -8436*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65, 59, 51, 41, 29?\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 35188 divided by -1852?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -3*y**3 + 178*y**2 + 1105*y + 50. Let w be a(65). Solve -w*p = -170*p + 1080 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 3 (b) 2\/63 (c) 1 (d) 0 (e) 139\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/4389 and -37\/62524.\nAnswer: 3563868","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 20) + (-7 + (3 - -11) - 2).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -105*p**4 - 8*p**2 - 4 wrt p?\nAnswer: -2520*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 111 + 77 = -14*m, -16 = -4*n - 4*m for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -414409*i**5 + 37*i + 15309 wrt i?\nAnswer: -8288180*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*d - 2 + 2 + (-87 + 38*d + 87)*(0 - 1 + 0)*(1 - 4 + 2)*(2 - 2 - 2)*(4 - 6 + 1) to h*d + z and give h.\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 12402?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 694 + -466. Let m = t + -228. Solve -2*g + 3*p + 13 = m, 4*g + 0*p - 1 = p for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1.3 + -1.5. Which is the nearest to -4? (a) o (b) 0.1 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -2 + 48*m - 18*m**2 + 0 - 48*m + 0 - 2*m**3. What is w(-9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2469 or 2264?\nAnswer: 2264","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002533536 rounded to seven decimal places?\nAnswer: -0.0002534","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 20171654 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5.287002025 - -0.127021675. Let q = c + 5.16. What is q rounded to six dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41206.3 - -2.\nAnswer: -41204.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -q + 9611, 124*n + 8 = 122*n. Is q a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 216 - 55\/(-11) - 8 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.170416734 and 26?\nAnswer: 25.829583266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/797 in -0.2, 3, -7, -1.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -11 + -38?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2 + -2. Let h be ((-2)\/p)\/((-2)\/72). Let y = h - -21. What is the least common multiple of 4 and y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the third derivative of 0 - 15*n**2 + 1\/120*n**6 + 5\/6*n**3 + 0*n + 0*n**5 - 5\/24*n**4. Let c be j(2). Solve -c*v - 12 = -3 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 9810, 9874, 9938, 10002, 10066, 10130?\n\"Answer: 64*m + 9746","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - z - 132, 4*c - 4*z + 34 = -78. Is c equal to 2\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 - 7*c**2 - 25*c - 109. Let q be m(-6). Put -10, 4, 1, q in decreasing order.\nAnswer: q, 4, 1, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.18 take away 0.199?\nAnswer: -0.019","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = s**2 - s - 1. Let b(o) = 2*o**2 + o - 9. Let m be b(2). Let u(i) = -12*i**2 + 10*i + 12. Let p(a) = -2*a + 2. Let v be p(-4). Give m*u(r) + v*w(r).\nAnswer: -2*r**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = 4*b - 30, -136*b + 48 = -132*b - 2*z for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 155374236 to the power of 1\/8, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21977 = -v - 21985 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 640*i**3 - 1273*i**3 + 639*i**3.\nAnswer: 6*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 665753218?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -145*r + 5*r - 117*r = 660*r + 14672 for r.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -15*q. Let i(g) = -2*g + 3*g + 6*g. Let l(j) = -4*j - 37. Let f be l(-6). Determine f*i(n) - 6*w(n).\nAnswer: -n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 + 25 + 2107 + -2152.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -7*x**3 - 4*x + 15*x - 39 + 40 + 19*x**2. Let h(y) = -y**3 - y + 2. Let p(z) = 12*h(z) - 3*i(z). Factor p(b).\nAnswer: 3*(b - 7)*(b + 1)*(3*b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -2*h + 9. Suppose -5*x + 13 = -5*d - 32, 3*x - 9 = 0. What is the tens digit of z(d)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 23744\/(-48336)*6\/(-28).\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34.190013989 - -34.19. What is a rounded to 6 decimal places?\nAnswer: -0.000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 <= 54\/25?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j = -2*f - 9, -2*j = 5*f - 0*j - 5. Let l(c) = c + 2. What is the lowest common multiple of l(6) and f?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -8*o + 76. Let a(i) = 2*i**3 - 8*i**2 + 9*i + 3. Let r be a(2). Solve o*x = r*x - 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -45*w**2 + 32*w + 10. Let m(k) = -23*k**2 + 16*k + 6. Let a(h) = -5*m(h) + 3*u(h). What is the second derivative of a(y) wrt y?\nAnswer: -40","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 12) to base 14.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 6*u**2 + 7*u + 11. Let b(k) = -5*k**2 - 6*k - 10. What is -5*b(l) - 4*j(l)?\nAnswer: l**2 + 2*l + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from auaaau. What is prob of picking 2 u and 1 a?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 5*m - 529025 = -216463, -2*m + 937567 = 3*u. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -18 + (2128\/88 - 6). Which is the closest to 1\/4? (a) -8.3 (b) -4 (c) -0.1 (d) n\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 175961296 by -16.\nAnswer: -10997581","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 3330 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 29602?\nAnswer: 2, 19, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -149 in 0.04, -20, 0.11?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -3*h - 6. Let b be r(-5). Let c(f) = 30*f + 65. Does 67 divide c(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64 plus 6584303?\nAnswer: 6584367","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**3 + 5*w**2 + 3*w. Suppose 2*h = -h - 12. Let d = h - 0. Determine n(d).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = 4*k + 15. Suppose 0 = z + k - 17. Suppose -4 = 3*r - 70. What is the lowest common multiple of z and r?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 472*u**2 - 302*u**2 - 172*u**2.\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -545*j. Let i(v) = -2*v. What is i(n(x))?\nAnswer: 1090*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 39832167 is divided by 1067?\nAnswer: 1057","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1228, 3, 1 in ascending order.\nAnswer: -1228, 1, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the first derivative of 156*b**5\/5 + b**4\/2 - b**3\/3 + 13*b**2\/2 - 3. What is the third derivative of x(v) wrt v?\nAnswer: 3744*v + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -2*j**3 + 3*j**2 + 9*j - 2. Determine g(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 114.8 - 121.8. Which is the closest to w? (a) 3 (b) -1 (c) 1\/16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 78 = -f + 3*l, -2*f = -3*l - 42. Which is bigger: f or 3?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 124*s + 370*s = -209*s + 41477 for s.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -4? (a) -2\/9 (b) 0 (c) 0.1 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.98069 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (9*j - 23 - 19 + 41)*(-73*j**2 + 4070 - 4070) as o*j + n*j**3 + u*j**2 + y and give n.\nAnswer: -657","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (3*sqrt(20) + sqrt(20))\/sqrt(10).\nAnswer: -1 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + -22. Suppose 0 = 3*b - 3, x*v - 2*b = -v + 10. Solve 2 = -v*g + 5*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 5*g**2 - 1. Let h be c(1). Let o be h\/(-16) + (-10)\/(-8). Sort 2, -6, o in ascending order.\nAnswer: -6, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 13274229*r**5 - 35632773*r.\nAnswer: 265484580*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 5256.862km in millimeters?\nAnswer: 5256862000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-36)\/j*j**(-19\/6))**(-17) assuming j is positive.\nAnswer: j**(3893\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55*d**3 + 146480516989 - 23*d**3 - 146480516989.\nAnswer: -78*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2345430?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/7, 1, 7\/5, -3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(832) + (-1 + sqrt(832))*2 + sqrt(832) - (1 + sqrt(832) + 2 + sqrt(832))) + -1*-6*(sqrt(832) + sqrt(832) + 0)*-4)**2.\nAnswer: 3680*sqrt(13) + 1760537","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 187 and 221?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1250\/((-2)\/17 + (-483)\/(-782))?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/(-3))\/(-1))\/(4\/(-352)*11).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 117 is divided by 57.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -2*q - 4*n, -3*q - 3*n + 80 = -8*q. Let c = 78 + q. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -6 and -0.59.\nAnswer: 3.54","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j**(-11\/4)\/j)\/j**(-4))**32)**(-1\/64) assuming j is positive.\nAnswer: j**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.3113 plus 20925?\nAnswer: 20931.3113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 42675560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:07 AM and 2:15 PM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r**2 + 88*r + 393. Let q be f(-39). Solve -3*j = -q, -2*n + 3*j + 3 = -2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i + 3*m = 31, 16*m = 14*m + 4 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -265000 rounded to the nearest 100000?\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1\/3*(816\/56)\/(-17)*-35\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1657 rounded to the nearest one hundred?\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6a7823 (base 11) to base 7.\nAnswer: -12355062","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -77 - -44. Let w = a + 67. Suppose 2*r - 17 = 19. What is the remainder when w is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30241 is divided by 23?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**4 - 1090214*b**3 - 3741055 wrt b.\nAnswer: 8*b**3 - 3270642*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -584273*y + 584273*y + 1937*y**3.\nAnswer: 1937*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 697 minutes after 10:37 AM?\nAnswer: 10:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 - 36 - (184\/44 + 10\/(-55))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 4*o + 4. Let i be f(-2). Is (-51)\/(6\/i - 0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-103 + 7750\/75)\/((-23)\/2)?\nAnswer: -2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 5*f**2 - 3*f - 3. Is 10 a factor of x(3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = 5506 - 15067. Let o = i + -430223\/45. Let s = o + -8\/9. Is 1 bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34240 is divided by 6847.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -275 - -275. Let a = 10 - 5. Find the third derivative of 14*n**2 + l - 16*n**2 - 3*n**a + 0 wrt n.\nAnswer: -180*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*m + 2*m + 4. Suppose g + 2*g - x = -4, 3*g - 1 = -m*x. Are g and -2\/9 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (4 + (4 - 8))*1. Suppose x = 4*m - 3*m - y - 8, 4*y = 2*m - 22. Suppose 0 = m*u - 8*u + 348. Does 29 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 21*y**2 + 10*y + 0*y**2 - 2*y**3 - 13*y**2 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -72e - -7e7?\nAnswer: b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 919206 a multiple of 733?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2471.36 milliseconds to seconds.\nAnswer: 2.47136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 52*r**2 - 19*r - 3575.\nAnswer: 104*r - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 25229?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 4, r: 1, j: 3}. What is prob of sequence rddd?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 21217 - 123*h - 21442 + 5*h**3 - 6*h**3 wrt h.\nAnswer: -3*h**2 - 123","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12 - -18. What is the remainder when 21 is divided by v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 185374*-0.14.\nAnswer: -25952.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14, -16, -5 in descending order.\nAnswer: -5, -14, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2*(-6)\/132)\/((-5)\/(-30))?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-4 + 5)\/(1\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -472 - -894. Suppose -m + 3*f + 76 = 0, -5*m + 0*f + f + d = 0. What is the tens digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 5\/2*120\/75. Let a(u) = -l - 6 + 8*u - 1 - 19. Let t be a(4). Let r(c) = 2*c**3 - c**2 - 2*c. Calculate r(t).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.172953 take away 234?\nAnswer: -234.172953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 + 32*g**2 + 72*g + 372. Let d = 125 - 71. What is the smallest common multiple of y(-30) and d?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the third derivative of a**5\/60 + a**4\/6 - a**3\/6 + 28*a**2. Suppose -2*b - 6 = -18. Suppose 0 = -3*i + s - 5 - b, 5*i + s = -5. What is t(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -865*m**3 - 4*m**2 - 4*m + 8. Let b(q) = -1728*q**3 - 9*q**2 - 9*q + 18. Determine 4*b(i) - 9*y(i).\nAnswer: 873*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1188051240?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i. Let y(z) = -z**2 - 5*z. Suppose 0 = -3*t + l + 12 + 33, -2*t + 30 = l. Let p(u) = u. Let k(g) = t*p(g) + 3*y(g). Determine f(k(m)).\nAnswer: -6*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 295051 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 756748184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (3 - 4 + 4)*(3*x**2 - 4*x - 3*x**2 + 2*x**2) + 33 - 33 + 52*x**2 in the form r*x**2 + t + c*x and give c.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let 131\/9*b**3 - 32 + 20\/9*b**4 - 44\/3*b + 1\/9*b**5 + 268\/9*b**2 = 0. Calculate b.\nAnswer: -8, -6, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5520 is divided by 43.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -19 - -19. Suppose 3*o - 83 - 4 = j. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14387 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 6*l - 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48833609 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1.7 + -1.3. Let h = -5 - 0. Which is the third smallest value? (a) -4\/7 (b) x (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -89676*c**4 + 44832*c**4 + 2541*c + 5866 + 44848*c**4 wrt c?\nAnswer: 16*c**3 + 2541","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -548*t + 3052 + 7219 = -6425 - 840 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + 64 + 77 + 2?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3315 to the power of 1\/2, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*h**2 - 19*h**2 - 3*h**2.\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/32732 and -139\/1512?\nAnswer: 1767528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 332717700 rounded to the nearest one million?\nAnswer: 333000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 7785?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -2723942100 to the nearest 1000000.\nAnswer: -2724000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17667 - -17568.71. Let k = 1108 - 1012. Let q = w + k. What is q rounded to one decimal place?\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/((-12)\/10))\/((800\/(-2280))\/((-16)\/(-6)))?\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, u: 1, c: 1, l: 3, j: 6}. Give prob of sequence ljll.\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 52229?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 18\/(252\/238) + -16.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 5*(-3)\/(1 - 4). Solve 3*f + 6 = q*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/8352 and -145\/96.\nAnswer: 8352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -137\/15685780 and -3\/3280?\nAnswer: 62743120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x - 5. Suppose 4*k + 14*k = 36. Let v be h(k). Is (3*(v - -4))\/(6\/9382) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/194533906 and -87\/20.\nAnswer: 1945339060","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 986 and 34?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4822.\nAnswer: 2, 2411","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 6623, 6624, 6623, 6620, 6615, 6608?\n\"Answer: -z**2 + 4*z + 6620","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -490? (a) -0.04 (b) 0 (c) 12 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 33, -1.7, -5, -1\/8, -9, -174, -0.5?\nAnswer: -174","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + sqrt(99)\/(-4*sqrt(9)*-3).\nAnswer: sqrt(11)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*m**5 + 2*m**5 - 3*m**5 + (-m**3 + m - m)*(4*m - 3 + 3 - 2*m**2).\nAnswer: 6*m**5 - 4*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a millimeter in micrometers?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 78111 is divided by 39054.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, -4, 197889 in ascending order.\nAnswer: -4, 0, 4, 197889","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -o**2 - 69*o + 69*o.\nAnswer: -o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 3:18 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 2769 = 4*i, 3*i = 4*i - 3*n - 702. What is the hundreds digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(153) + sqrt(17))*3*2 - -4*(sqrt(1700) + -1*sqrt(1700))**2*1.\nAnswer: -96*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -6*(3 - 129\/6). Suppose u + 97 = -13*a. Which is bigger: a or -17?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (434\/(-155))\/(105\/(-1950)) - -7.\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 2*b = 72, -4*a - 4*b + 10 = -50. Calculate the remainder when a is divided by (-9)\/18 - (33\/(-2))\/3.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -7 (b) -0.14 (c) -2 (d) 0.367 (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -307*p + 25. Let i(b) = 308*b - 25. Let h(d) = -5*i(d) - 4*q(d). Suppose 8*y = -22*y - 330. Is h(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -18139 - s + 18139. Let i(q) = 2*q + 53. Calculate i(j(l)).\nAnswer: -2*l + 53","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37 = -4*p - 45 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -100, -2, 256, 0, -5, -1, 4 in ascending order.\nAnswer: -100, -5, -2, -1, 0, 4, 256","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-264)\/(-13) - (-70 + 72 + 18).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v + 12. Let h be j(10). Let t be 4\/h*(-17977)\/2. Let y = t - -4177. Round y to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 61472.1 milliseconds?\nAnswer: 61472100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 0, -5, -1 in descending order.\nAnswer: 0, -1, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25565*u**2*z**2 + 4*u*z - 3*u - 41*z**2 - 3 wrt u.\nAnswer: -51130*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:37 AM and 1:17 AM?\nAnswer: 40","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6573289cm to micrometers.\nAnswer: 6573.289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111*p = 26*p + 765 for p.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32.0003 - -32. What is c rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -10 + 14 + 7*i**3 - 13*i**3 + 37*i**3 as a + o*i**2 + z*i + j*i**3 and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -2*x**3 - 7*x**2 - 5*x + 3. Let q = 14 - 18. Let u be s(q). Suppose -3*v - 15 + u = 0. Calculate the remainder when 29 is divided by v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -19*l**3 + 13*l**2 + 13*l - 13. Let c = -16 + 22. Let v(w) = 3*w**3 - 2*w**2 - 2*w + 2. Give c*m(d) + 39*v(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*u - 12, -u + 2*a = 8 - 2. Suppose -5*n - 27 + 7 = -5*k, -n - 3 = u. Calculate the highest common factor of k and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 b and 2 a when four letters picked without replacement from {b: 13, a: 6}.\nAnswer: 195\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(140))\/(sqrt(112) + sqrt(112) + sqrt(112)*-2 + sqrt(112)).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1904)\/(-816))\/(462\/(-54)).\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -11 - -10. Let j be (a*(2 - 2))\/(-2). Solve j*g = -g + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -75092.\nAnswer: -5\/18773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 29\/5 of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-46 + 52)\/(-1 - -2). Let p be 19\/(57\/18) - y. Solve d + 5*z - 12 = p, -4*z + 16 = 4*d - 0*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*g - 6*g**3 - 17*g + 20*g**3 + 8*g.\nAnswer: 14*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 10 = -z. Let g be -2 + (3 - z) - 4. Sort 5, -1, g in decreasing order.\nAnswer: 5, -1, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t + 13 + 5. Let f(d) = -d**3 - 5*d**2 + 5*d - 2. What is the remainder when 13 is divided by f(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 394.\nAnswer: 2, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let -42*r**3 - 9454*r**2 + 8580*r - 1808 = 0. What is r?\nAnswer: -226, 1\/3, 4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 1 - 3*s + 7*s - 3*s + 0. Calculate the remainder when (-124)\/(-6) + (-6)\/9 is divided by a(10).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1680, 3555, 5430, 7305?\nAnswer: 9180","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 67.445 to the nearest ten.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 445 minutes after 11:27 AM?\nAnswer: 6:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 427*j**2 + 451*j**2 + 117 - 115 to c*j + a + w*j**2 and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3670?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 492560 to the power of 1\/3, to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -5*d**2 - 443510*d - 9835056005 = 0.\nAnswer: -44351","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -13 + 20. Let l be 3 - 1*(-4 + q). Let a be (3 - (l - -4))*0. Solve a = -0*m - m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1075568?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/2*h**3 - 41*h + 0 + 43\/2*h**2.\nAnswer: -h*(h - 41)*(h - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*p + 17467 = -25373. Suppose 12*r = 3*r + p. What is r rounded to the nearest ten?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 23*m + 4. Let p(n) = 47*n + 8. Determine 5*o(v) - 2*p(v).\nAnswer: 21*v + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + h - 3*i - 2664 = 0, 4*h = -3*i + 3524. Is 34 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18437970 divided by 5.\nAnswer: -3687594","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 - (-5)\/(20\/(-16)). Let i be -1 - 1 - (w - -2). Is -8\/5 at least i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 316032107?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -2 + (-2 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in 0.2, -448, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -12*l - 20. Let s be k(-2). Let z(o) = -o**2 + 3*o. Let q be z(4). Let j = 6 + q. Solve 4*h + a + s*a = 9, -3*a + 1 = -j*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = -l, -5*t = -3*l + 14 + 5 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) be the third derivative of -2*p**5\/3 - 67*p**3\/6 - 59*p**2. What is the derivative of u(i) wrt i?\nAnswer: -80*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 6*u**2 + 9*u + 2*u**2 - 54*u**3 + 15*u - 12 + 27*u**4 + 7*u**2 = 0.\nAnswer: -2\/3, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -95948 divided by -47974\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + -3 + (-4 + 2 - -9).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2921104.\nAnswer: 2, 79, 2311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, u: 6, k: 1, c: 1, o: 3, y: 4}. What is prob of sequence kyu?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 3*f + 6. Let j be (4 - -1)\/(-10)*-8. Suppose -l = -6*a + 2*a + 11, 5*a - 1 = -3*l. Suppose 7*g = b + a*g + 4, 0 = -j*b + 2*g - 16. Give y(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*z + 8 + 4 = -l, 5*l = -5*z + 40 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 8 = 0, 2*u - 16066*q + 16070*q + 22 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 276115 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -111.5 (b) -0.5 (c) -4 (d) -2 (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 7*y**2 - 10*y - 4. Determine t(11).\nAnswer: -2292","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dzhndenudnnnn. What is prob of sequence dn?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 - 11*p**2 + 11*p - 1. Let q be c(10). What is the first derivative of -4 - 8 + 6 + q*i wrt i?\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a millennium in centuries?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*k**4 + k**4 + 8*k - 2 + 0*k**2 + 0*k**2 as x*k**3 + w*k + h*k**4 + d*k**2 + z and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12 - 2)\/((-2662)\/(-330) + -8). Solve v = -21*l - 29*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 23 = 13. Suppose -3*z + j*z = -5*b - 54, -2*z - 5*b + 93 = 0. What are the prime factors of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b**3*k*s - 15*b**3*s - 3*b**3 - 8*b**2*k - 2*b*k*s + 2*b wrt b.\nAnswer: 18*k*s - 90*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1 - -9. Let g = n + -10.44. Round g to one dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -162319850 divided by 31066?\nAnswer: -5225","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 9*o = -117. Which is bigger: -1\/3 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 224288 + 129287 = 0. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -5*x**2 - 8*x + 8. Let l be r(1). Let y be (-3)\/(-18) + 5\/(-102). Which is the nearest to l? (a) y (b) -4\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31723 is divided by 10538.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 36684137 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(931)*-3 + 1 - (sqrt(931) + -1 + -2)).\nAnswer: -28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 96910463 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tevtbvvevtvbtmsetee. Give prob of sequence btte.\nAnswer: 25\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:44 AM and 3:30 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 40*f**2 - 37*f - 49. What is the thousands digit of z(25)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b. Let o(p) = 3*p. Let k(r) = 5*o(r) + 8*x(r). Let i(j) = 10*j**2. Determine k(i(v)).\nAnswer: -10*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, -3, -6, 4, 9, 42 in decreasing order.\nAnswer: 42, 25, 9, 4, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**2 - 22*p - 28. Suppose 201*y - 199*y = -38. Let h(d) = d**2 + 3*d + 6. Calculate the remainder when q(y) is divided by h(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 175500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(637) - (sqrt(637) + sqrt(637) + sqrt(637)*-2 + 3) - sqrt(637)) + 1 + 1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2011114582.\nAnswer: 2, 1429, 703679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8918720 and 1410.\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1380 and 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:31 PM and 3:38 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -150 + 152. Suppose -a + 1 = -2*u, 0 = l*u + 3*a + 2*a - 29. List the prime factors of u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -39849 - -1?\nAnswer: -39848","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 109633.\nAnswer: -109633.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -4*t + 6. Let b(y) = 4*y - 6. Let q be b(3). Let f(v) = -9*v + 13. Determine q*f(o) - 13*a(o).\nAnswer: -2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*s = 2*s, 2*y - 5*s = 4 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234 is divided by 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -340 + 404. What is the greatest common factor of 224 and n?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -73421 or -73347?\nAnswer: -73421","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11 - -156. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12 in -11, 0.5, 0.2, 28?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from crpjm. What is prob of sequence pc?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/2 (b) -3 (c) 264 (d) 5\/2 (e) -2\/3 (f) -0.0629\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184 by -46.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v**2 + 13*v - 13. What is l(13)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l = 2*q - 52, -2*l = 3*q - 46 - 33. Suppose -5*g - 5*w = -q, -3*g + 15 - 6 = w. Suppose -15 - 7 = -g*n. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/75 of a century in months?\nAnswer: 32","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 230 = -3*z + 6*z, -3*f + 359 = z. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000871854 rounded to six dps?\nAnswer: -0.000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -d**2 + 22*d - 36. Let g be m(20). Suppose -4*u + 45 + 4 = 5*v, 22 = 2*v + g*u. Calculate the remainder when 9\/1*(-10)\/(-3) is divided by v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 46032?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8860932?\nAnswer: 2, 3, 101, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 78.867 rounded to the nearest 10?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 838578000 a multiple of 300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -125139, -250323, -375507?\n\"Answer: -125184*h + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9382 - -9382. What is the second biggest value in n, 203, 3, 1\/7, -0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + k - 1. Let a(m) = 4*m**2 + 6*m - 4. Let p(y) = a(y) - 5*s(y). Determine p(4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes before 10:12 PM?\nAnswer: 1:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bybbbbbbbybbby. What is prob of sequence yb?\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.005519211 rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 8\/15, 3 in descending order.\nAnswer: 3, 8\/15, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*w = 22*w - 234. Suppose 4*b = -l + 86, b - 4*l + 92 = 5*b. What is the remainder when w is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1583, -1587, -1593, -1601, -1611, -1623, -1637?\nAnswer: -1653","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -48*w**2 - 2354*w + 7620. Let n(j) = 10*j**2 + 469*j - 1524. Let y(h) = 14*n(h) + 3*p(h). Determine m, given that y(m) = 0.\nAnswer: -127, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = 167*h - 93. Let o(r) = -11. Let l(q) = -24. Let c(a) = 6*l(a) - 13*o(a). Let f(m) = -2*c(m) + v(m). Find the first derivative of f(j) wrt j.\nAnswer: 167","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (27\/(-18))\/(1\/2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -59, -502, -1679, -3956, -7699, -13274, -21047?\nAnswer: -31384","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(2) + -3)*4.\nAnswer: -4 + 4*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hhh when three letters picked without replacement from hhhtthhhth?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 36 and 7212.\nAnswer: 21636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -12 - -17. Let x(k) = -k**2 + 21*k + 8. Let f = 79 + -58. What is the lowest common multiple of x(f) and o?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - q + 3*q - 5 = 0, -3*q = 4*f. Let g = 209 + -211. Put 2, f, g in descending order.\nAnswer: 2, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 36041*z**2. Let c(r) = 46*r. What is c(y(s))?\nAnswer: 1657886*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 0*q - 15 = 0. Let a(k) = -k**2 + 20*k + 54. Let z be a(23). Let f be (-16 - z)*((-1)\/11)\/(-1). What is the second biggest value in -1, q, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 53114571?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 53 - 22. Solve 3*u + 10 = u, -5*u = -2*t + n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22 + -4. Let l be v\/4 + 1\/(-2). Suppose -x + 31 = -3*h, l*x + h = -2*h + 169. 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 12\/(-18)*(-585)\/(-26)?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 28*l**3 + 6796*l**2 + 44312*l - 13216 = 0.\nAnswer: -236, -7, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2180.046704 - -0.053296. Let c = -2437 + u. What is c rounded to the nearest 10?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**5\/2 - 7*y**4\/2 + 9*y**3 - 11*y**2 + 13*y\/2 - 3\/2.\nAnswer: (y - 3)*(y - 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a minute in seconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -75.066 - -75. Let l = -0.0659804 - w. Round l to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x + 21*x + 15*x + 297 = 0 for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y**5\/5 - 684*y**4\/5 - 63674*y**3\/5 - 884208*y**2\/5 - 2794472*y\/5 - 2550624\/5 = 0. Calculate y.\nAnswer: -163, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 k and 1 w when four letters picked without replacement from kewkwkwwkkew?\nAnswer: 10\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 721 a factor of 89309097?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 11 + 9. Let a be 1466\/10 - (-8)\/p - -4. Let s = 87 + a. What is the units digit of s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/1529 or 1?\nAnswer: 2\/1529","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 41, -0.3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4 - -6. Let t = h - 1. Let y = -2 + 1. Is y >= t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 2\/5 (b) -0.68 (c) -3\/4 (d) 2137 (e) -2 (f) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence us when two letters picked without replacement from {u: 6, z: 2, o: 2, s: 3}.\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 36182.31t in grams?\nAnswer: 36182310000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 108 + -100. What are the prime factors of (-1497)\/(-6) + ((-60)\/f)\/(-5)?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -6*d. Let v(i) = -25*i**2. What is q(v(h))?\nAnswer: 150*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -12 + 248. Let t be 2\/(-6 - -2)*n. What is the lowest common multiple of 4 and (-20)\/15 - t\/3?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 + -1. Let v be (-2 + (2 - z))\/(-2). Let j be -1 - v - (5 + -6). Solve j = -2*b + 2*r, -2*b - 2*r + r = -9 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7 - 8. Let u be -3*((-41709)\/9 - p). Round u to the nearest one thousand.\nAnswer: 14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 9*m**2 + 33*m + 26. Determine r(13).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - k - 1. Let a(w) = -4*w**3 - w**2 - 1. Let l(v) = a(v) - j(v). Suppose p - 3*p = 0. Let d = p + 1. Determine l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 8*g + 8 - 3. Let m(k) be the first derivative of k**2\/2 - 3*k - 1. What is -3*i(h) - 5*m(h)?\nAnswer: h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are 21 and 22 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11.46*1.\nAnswer: 11.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 694 and 52089558.\nAnswer: 694","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 202 - 202.00000278. Let t = s - 0. What is t rounded to six dps?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 12580 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 4 (b) -2 (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 280 = 310 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 1 - 2)*(0 + 4*b + 0) + b - 2*b + 3*b + (-3 - 4 + 0)*(-2*b - 2 + 2).\nAnswer: 20*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 642782625 is divided by 1644?\nAnswer: 1641","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5655, 11669, 17695, 23727, 29759, 35785?\nAnswer: 41799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118065011 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express (j + 0*j + j)*(-j**2 + j**2 - 2*j**2) + 24*j**3 + 5*j**3 + 23*j**3 as z*j + v + i*j**2 + f*j**3 and give f.\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 438, 436, 426, 402, 358?\nAnswer: 288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -4 (b) 1\/4 (c) 2 (d) -2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -3*o**3 - 11*o**2 + 5*o + 17. Let p be t(-6). Let z = p + -60. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 98\/45 + -16\/9. Let j = 32 - 33. What is the closest to -2 in x, j, -1\/3?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from uotuwyuygtwtwwgwwyw?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -l + 4 = 0, 0*l + 3*l - 1177 = -5*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 539520 is divided by 3513.\nAnswer: 2031","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2 + 8*x - 202. Let k(c) = 4*c - 47. Determine a(k(q)).\nAnswer: 16*q**2 - 344*q + 1631","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by 4113.\nAnswer: -24\/457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) -3 (b) -448350 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 42134 is divided by 2766?\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -a**3 + 2*a**4 + 6*a**3 - 7*a**3 + 5*a**2 + 2 + 3*a**3 wrt a?\nAnswer: 48*a + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.0646 (b) -0.1 (c) 148 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2432 and 24624.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -13, 40, 119, 236, 403?\n\"Answer: 2*n**3 + n**2 + 36*n - 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 227?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r - 36. Let h be u(11). Let n(m) = m**3 - 2*m**2 - 9*m + 4. What is the tens digit of n(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 + 565*p**2 - 8694*p - 50. What is v(15)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 88024513 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 2, s: 2, j: 1, k: 6, r: 4}. Give prob of picking 1 d and 1 r.\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of -z**6\/3 - 2*z**2 + 18. What is the second derivative of h(g) wrt g?\nAnswer: -40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -65.1 - 4.9. Let p = 309709\/3 + -103235. Which is the smallest value? (a) -2\/9 (b) 2 (c) m (d) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v - 5 - 11 = 0. Let d be (v\/(-6))\/(2\/(-222)). Suppose -2*q + d = -0*q. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - ((24 - 8) + -6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17.8 - -8.31. Let j = z - 0.51. Which is the smallest value? (a) -2\/5 (b) j (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(1 - (-8)\/(-7)). Suppose 2*w + 4*z = f, 2*z = 2*w - 2*z - 36. Is w a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10030 by -991.\nAnswer: 10030\/991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1460526.\nAnswer: 2, 3, 243421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 76*w - 30*w - 184. Solve w*v = -0*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1 - -1. Let x be -1 - (-7)\/(-25)*33\/(-9). Let q = -221\/150 - x. Which is the second smallest value? (a) 5 (b) q (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = l**3 - 4*l**2 + 5*l - 4. Let h be u(3). Suppose 2*c = -4*w + 12, 0 = 3*w - c - 10 + 1. Suppose -h*t = w*t - 110. What are the prime factors of t?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 10*j**3 - 25*j**2 - 993*j - 5. Determine l(11).\nAnswer: -643","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.8 + 4.8. Let u = 0.12 + 2.58. Let s = u - -0.3. Which is the smallest value? (a) -1\/2 (b) p (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 + -11. Suppose w*x - 7 = -x. Let f(r) = -r**2 + 8*r - 6. Let t be f(x). Put t, 0.1, -3 in decreasing order.\nAnswer: t, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1484165 * 0.1\nAnswer: 148416.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 10*n - 2. Let o(i) = -i**2 - i + 2. Let h(y) = y**3 - 8*y**2 + y - 8. Let r be h(8). Let j be o(r). List the prime factors of s(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -120*x + 4158. Calculate v(33).\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = 498*u - 8620. What are the prime factors of a(72)?\nAnswer: 2, 11, 619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (88\/16 - 6)\/(1\/(-4)). Suppose 5*m - 28 = -3*x, 5*m - 8 = 17. Let u = k - x. Solve 5*d - 20 = 0, u = 5*f - d - 10 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6257 = -26*x + 7549. Calculate the greatest common divisor of x and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 110111000110 (base 2) to base 6\nAnswer: 24154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 41\/3 and 101\/8771364.\nAnswer: 8771364","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 67*u + 19*u + 4*u + 28*u to the form k*u + a and give k.\nAnswer: 118","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 135859 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(1900))*4 - (-2 + (-4 + sqrt(1900) - sqrt(19))**2 + sqrt(19)).\nAnswer: -1545 + 111*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110*s + 1926 = 116*s. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 725051 is divided by 863.\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 846\/4*(-8 - 252\/(-27)). Let v be (4\/(-6))\/((-4)\/b). Solve -2*i = v - 37 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1834459?\nAnswer: 11, 79, 2111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -23 + 26 - (4 + 0) - 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 783\/174 + (15\/(-12) + 1)*-2. Solve 0 = -4*g + 29*w - 28*w - 14, o*w - 19 = 3*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k - 991 = -5*r, -3*r + 2*k - 20 + 614 = 0. Let z(c) = 2*c**2 - 1023*c + 4111. Calculate the remainder when r is divided by z(4).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -4*z**2 - 1952384*z - 238237705216 = 0.\nAnswer: -244048","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -43 - -71. List the prime factors of 8\/14 + 7124\/l.\nAnswer: 3, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/3*(-36)\/8. Let j(i) = -i**3 - 6*i**2 - i - 6. Calculate j(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/7 (b) 3\/5 (c) -471\/5 (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) be the first derivative of -55*t**7\/7 + 28*t**5\/5 + 16*t**3 - 79*t + 2562. Find the third derivative of g(j) wrt j.\nAnswer: -6600*j**3 + 672*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u, 1 o, and 2 r when four letters picked without replacement from {o: 1, u: 1, h: 1, r: 7, q: 7}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.484 + -2.484. Do g and 238 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3010 divided by -602.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -77*v**2. Let t(u) = -324171*u**2. Calculate l(t(q)).\nAnswer: -8091686467557*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 2, v: 7, s: 2}. What is prob of sequence vy?\nAnswer: 7\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (-30)\/40 - (70\/(-8) - 7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289 + -288.8. Which is the smallest value? (a) -0.2 (b) 0 (c) 1\/14 (d) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.41621 and 17.\nAnswer: -7.07557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4 - (-1)\/((-3)\/(-6)). Let c = n - 3. Suppose -3*z + 27 = c*a, -13 = -3*z - a + 6. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20158, -70089, -149792, -259267, -398514, -567533, -766324?\nAnswer: -994887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 364530759?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10487864.\nAnswer: 2, 181, 7243","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-2)*(-93)\/(-1085)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-7)*t)\/t)\/t**(2\/3)*t**(1\/11)\/t**(-2\/19) assuming t is positive.\nAnswer: t**(-4057\/627)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l - 400 = 54*l for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 148 (b) 2617 (c) 0.2 (d) 2\/9 (e) -0.04 (f) -4 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 5*k + 4. Calculate the remainder when 56 is divided by g(3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -45 - -49. Suppose y + 11105 = 5*g - y, 5*g - 11075 = -l*y. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0 - -1)\/(1\/71). Let h = -46 - -52. Suppose -p + h*p + 5*x = 55, 5*p = -x + r. What is the remainder when 59 is divided by p?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 294612 divided by 73653?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 20 = 0, -34*o + 32*o + 11 = w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - h = 2*r - 26, -r = -5. Suppose -4*b = -4*z + 12, -3*b + 0*z - 7 = -z. Let j be (-38)\/(-14) + (-2)\/(-7). Put b, h, j in decreasing order.\nAnswer: h, j, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j = -4*k - j - 5, -4*k + 4*j - 4 = 0. Let f be 4\/(-3)*(-3)\/k. What is the units digit of (f - 5\/(-3))*-12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 + -13. Suppose 0*p - 4*f - 16 = -p, -a*p = -4*f - 64. What is the derivative of -9*u**4 + 10 + 16*u - 25*u**4 - p*u wrt u?\nAnswer: -136*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes after 9:10 AM?\nAnswer: 11:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (382005\/11583 + -33)*(3\/(-6) + -1).\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/33 and 68\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 185330082 to the power of 1\/3, to the nearest integer?\nAnswer: 570","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - j + 2 = -10, 4*j - 10 = -3*k. Let y(t) = -t - 6. Let x be y(-11). Put 3, k, x in descending order.\nAnswer: x, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 6, n: 12}. What is prob of sequence nss?\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 9*w**5 + 72562038*w**4 + 193498695*w**3 - 72562050*w**2 - 290248044*w + 96749352 = 0. What is w?\nAnswer: -8062446, -2, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 89031043 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -6\/5, -2, 0, 3.004646?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + 2*m = -0*s + 70, -s + 2*m + 30 = 0. Let q be ((112\/s)\/7)\/((-2)\/25). Let h be 4\/(-30)*-3 + (-6)\/q. Solve 0 = p - h + 5 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j - j = 20. Let r(c) = 33 - 80*c + 25*c + 54*c. Let k be r(j). Solve 5*q + k = 3 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = 16*x**2 + 5*x - 8. Is o(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (2 + sqrt(500) + 2 + (sqrt(500) - -3*(sqrt(500) + -1)) + 2)**2 + -2 + -1.\nAnswer: 300*sqrt(5) + 12508","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**2 + 3*j - 3. Let p be f(-5). Calculate the highest common divisor of 91 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 49918993, 99837989, 149756985, 199675981?\nAnswer: 249594977","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -102 - -141. Suppose -3*f = -2*x - 245, -r = -f - 4*x + 24. Let c(n) = n**3 + 11*n**2 + 8. Calculate the remainder when f is divided by c(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 6\/18 + 28\/6. Suppose -3*x - 4*k = -7, 0*x + 8 = 3*x + s*k. Let z(r) = 13*r**3 - r**2 - r + 1. Let h be z(x). Solve -h = -3*m - 0*m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -74\/33 and 109\/22170.\nAnswer: 243870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 2*z - 15. Let j(g) = -g**3 - 18*g**2 - 18*g - 8. Let h be j(-17). Let u be p(h). List the prime factors of (1\/u)\/(2\/36).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 3606 + 140?\nAnswer: 3746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*b + 120*b - 11789 = -j, -j + 2*b + 11773 = 0. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (19*-8 - -2)*-433. Suppose 0 = -7*l + 2*l + 3*r + u, 4*l + 3*r = 51960. Suppose -3*h = -c - 13006, h + l = -c - 4*h. Round c to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by (4\/(-1))\/((-4)\/64).\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1408*p**5 + 17*p**4 - 4*p**3 + 718*p + 11275.\nAnswer: -28160*p**3 + 204*p**2 - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 8*u + 31. Let y(l) = 23*l + 100. Give 17*j(k) - 6*y(k).\nAnswer: -2*k - 73","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -7*t + 12. Let u be m(-2). Let j(y) = 21*y + 167. What is the tens digit of j(u)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -224*d + 2268. Calculate the lowest common multiple of j(8) and 56.\nAnswer: 952","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*r - 14*r - 5548*r**2 + 5551*r**2 + 7*r.\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2 - 2*m. Let n = 3252 + -3253. Let h(k) = -k. What is n*a(j) + 2*h(j)?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2059 is divided by 904?\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -4, 654, -125 in descending order.\nAnswer: 654, -4, -5, -125","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*z - 803 + 293. Let y = z + -50. Let a = 72 - y. What is the units digit of a?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, h: 7, l: 2}. Give prob of picking 4 h.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (42\/315)\/(2\/20).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -6 (b) 4 (c) -496.4 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -16261645 (base 8) to base 12\nAnswer: -1314659","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 6725, 6726, 6727, 6728, 6729?\n\"Answer: h + 6724","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 426891101.\nAnswer: 7, 13, 139, 33749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ooo when three letters picked without replacement from {o: 9}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = 23*g. Let s(n) = 19041*n. Give m(s(f)).\nAnswer: 437943*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 13*k**3 + 6*k**2 - 6*k + 6. Let g(q) = q**3 + q**2 - q + 1. Determine -6*g(v) + z(v).\nAnswer: 7*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -150 - -26. Let h = -3 + x. What is h rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 11*f. Let p(g) = -g**2 + 15*g**2 - 20*g**2. Give s(p(q)).\nAnswer: -66*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 599166735 to the nearest integer?\nAnswer: 843","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18138?\nAnswer: 2, 3, 3023","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5981?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmm when three letters picked without replacement from {m: 10}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-18060))\/((-588)\/(-2744))?\nAnswer: -2\/387","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*l**2 + 0*l**2 - 9*l + 0*l**2.\nAnswer: 6*l**2 - 9*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/2, 2\/35, 2 in increasing order.\nAnswer: 2\/35, 1\/2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = -5*p - 8. Let b(o) = 3*o + 5. Let v(r) = 8*b(r) + 5*h(r). Give v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21000000 (base 3) in base 9?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 151 in increasing order.\nAnswer: -4, 4, 151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g\/g**(-1\/28))\/g)\/g)\/g*g\/g**(-3) assuming g is positive.\nAnswer: g**(85\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/732258 and 3\/325448.\nAnswer: 2929032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.3 and 41501969.\nAnswer: 41501969.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 15*((-708)\/3068)\/((-15)\/2)?\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3863223?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.3 and 27.\nAnswer: -8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: (-4*(-50)\/80)\/((-10)\/(-36))\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*q**5 - 35*q**4 + 75*q**3 - 45*q**2.\nAnswer: 5*q**2*(q - 3)**2*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 203847 and 87363?\nAnswer: 611541","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 48 and 10140.\nAnswer: 40560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001885059 to six dps.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -358 = -u - 5*c, 5*u - c = -0*u + 1686. Let v = -186 + u. What are the prime factors of v?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18762 and 8374.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - v - 4. Let z be h(4). Suppose -5*d = z*t - 3*t - 115, -4*d = 3*t - 66. What is the remainder when t is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 15*l - 37. Suppose -498*o + 1586 = -11 - 893. Calculate j(o).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n = 5*m - 12, 8*m - 3*n + 2 = 10*m. Let a be (-2)\/(-2) + 0 + 2. Solve 17 = -3*v - m*y, -3*y = a*v - 7 + 22 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 17*d**3 + 100*d**2 + 5*d - 5. Let a(x) = -18*x**3 - 101*x**2 - 4*x + 4. Let g(s) = -5*a(s) - 4*k(s). Find the third derivative of g(o) wrt o.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 5? (a) -3153 (b) -4 (c) 0.2 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**2 + 274*a + 3144. Determine j(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*b + 135 + 2*b - 149 + (3 - 3 + 2*b)*(3 + 2 - 6).\nAnswer: -4*b - 14","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**3 + 25*u**2 + 133*u - 13. Let r be w(-11). Which is greater: 225 or r?\nAnswer: 225","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 13 + -2. Let g(x) be the first derivative of x**2\/2 + 4*x + 2. Let c be g(0). Solve -5*o + j = -c*d, -o = d - 0*d + 5 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**3 + 15*d**2 + 25*d - 140. Determine r(-12).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06+145598.16\nAnswer: 145598.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 211 or -35?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101000110 - -100?\nAnswer: -101000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.863186 millennia in years?\nAnswer: 2863.186","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6257662 is divided by 13.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1877, -1870, -1851, -1814, -1753, -1662, -1535, -1366?\nAnswer: -1149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -f**2 + 15*f + 48. Let q be x(18). Let p(z) = -z**2 - 10*z - 19. Calculate p(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*b + 2149 = -1127. What is the highest common factor of 18 and b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(50)\/(sqrt(10) - sqrt(10)*-2) + sqrt(5))*-4 + 2 + (sqrt(5) + sqrt(5) + 4*sqrt(5)*1)**2 + 5 + -3.\nAnswer: -16*sqrt(5)\/3 + 183","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 4, c: 6, g: 4, y: 1, d: 1}. Give prob of sequence dccc.\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*u + 8*u - 11*u)*(-222*u - 20*u + 277 - 279)*(2*u - 4*u + 0*u).\nAnswer: -484*u**3 - 4*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -85*z**2 + 58585500621 - 58585500621.\nAnswer: -85*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*l, -z = 3*l - 2*l + 7991. Let k be z\/(-20)*45\/(-6). Let n = k - -3010. Find the common denominator of n and 149\/18.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**4 + 2 - 2 + 2 + (0 - 2*o**3 + 0)*(-o - 2*o + 4*o).\nAnswer: -14*o**4 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 610050 divided by 610050?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 13413 - 13408. Let i = -7 + 7.03. Let z = 8.03 - i. What is the third biggest value in z, y, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 3 x when four letters picked without replacement from {x: 3, v: 2, g: 1, l: 4}?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - z = -11, 2*z - z = -d + 8. Let u(x) = 3*x - d*x - 2*x. Let p(w) be the first derivative of 15*w**2\/2 + 6011. Determine u(p(n)).\nAnswer: -30*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c - 4*i + 435 = i, c + 95 = 5*i. Let u = c - -154. Is 26 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6172?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**2 + 3*s**2 - 4*s**2)*(476*s - 9*s - 21*s) - s**2 + s**2 - 2*s**3.\nAnswer: -894*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298251 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1010111 (base 2) in base 16?\nAnswer: -57","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4608 times 32667?\nAnswer: -150529536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -213\nAnswer: -11\/213","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 10:16 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10001 - 6691. List the prime factors of p.\nAnswer: 2, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -19*i - 1. Calculate the remainder when (-25 + 18 + -35)\/((-9)\/87) is divided by b(-2).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 4*k. Let q(p) = -p. Let n(j) = 3*q(j) - w(j). Let y(l) = -3*l + 3*l + 4*l. Calculate n(y(h)).\nAnswer: -28*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -4262, -4529, -5252, -6659, -8978, -12437, -17264?\n\"Answer: -38*z**3 - z - 4223","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 AM and 11:20 AM?\nAnswer: 255","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 11585975?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(900)*1)\/(sqrt(5) - sqrt(25)\/sqrt(5)*5).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(5\/8)\/(x\/(x*x**(-1\/7)))*(x\/(x**(14\/13)*x))\/x**(-2\/9) assuming x is positive.\nAnswer: x**(-2441\/6552)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -21, -19, -7, 21, 71, 149, 261, 413?\n\"Answer: w**3 - w**2 - 2*w - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s = -s, 2*t + 2*s = 3*t. Let l be t*-1*1\/(-6)*-2. Sort -2, -148, l in descending order.\nAnswer: l, -2, -148","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3497 divided by -22?\nAnswer: -3497\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**3 + 13*o**2 - 13*o + 18. Let q be c(-14). Let d(m) = -3 - q*m + 2 + 3*m + 4*m. Calculate the remainder when d(3) is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the first derivative of 0*x**4 + 5 + 0*x**2 + 0*x + 4\/3*x**3 - 1\/6*x**6 + 0*x**5. What is the third derivative of b(t) wrt t?\nAnswer: -60*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-6\/7)*a**1\/a*((a*a\/a**(-4\/5))\/a)\/((a*a**(-7))\/a) assuming a is positive.\nAnswer: a**(278\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, t: 9}. What is prob of picking 2 t?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 73631 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = -4*m - 18, 0 = -2*r - 3 + 1. Let p = 474 + -421. What is the remainder when p is divided by (-2)\/m + 54\/4?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b + 18. Let i(a) = -a - 18. Calculate -3*i(g) - 4*t(g).\nAnswer: -g - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-40))**(-15)*(k*k**(2\/75))\/k*k\/(k\/((k*k\/k**21)\/k)))**43 assuming k is positive.\nAnswer: k**(1870586\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -33 + 61. Suppose 35*n + 66 = 41*n. Let r = w - n. Calculate the greatest common divisor of r and 153.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -68*u**2 + 18*u + 24*u**2 + 25*u**2 + 17 + 21*u**2. Let d be c(-8). Let q be 17499997*d - 9\/(18\/(-6)). What is q rounded to the nearest one million?\nAnswer: 18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 30*o + 3. Let u be c(3). Suppose 3*y + u = 276. Let d = y + -611\/10. Is d smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25786279 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**3*p**5 + 2307*f**3*p**3 + 348*f**3*p**2 + f**3 wrt p.\nAnswer: -120*f**3*p**2 + 13842*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 237*q - 2463 = -4596 for q.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 866 - -3603?\nAnswer: 4570","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1258 - 1258 - 4*m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*f - 2447 = -746. Suppose -2*h = 3*h - 140. What is the remainder when f is divided by h?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -15767*t + 13. Let y be h(-2). Suppose 6*z + 5777 = y. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15 + 32 + 19*i**2 - 17 + 3*i as v + q*i + f*i**2 and give f.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5\/23, -57, -2\/17.\nAnswer: -57, -3, -2\/17, 5\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oococcoicicococ. Give prob of picking 1 i and 1 o.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 7\/2 of a micrometer?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes before 11:29 PM?\nAnswer: 7:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 - 2*c**3 - 6221649*c + 6221649*c - 5 + 4*c**2. Suppose 0 = -3*m - k + 7, -1 + 3 = 3*m + 2*k. Give f(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 265*i = -1197 - 19 - 1434 for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (1*8\/6)\/(19 - (-660)\/(-36)). Calculate the greatest common factor of 284 and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2853724+-1.7\nAnswer: 2853722.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**3 - l**3 + 2*l**3)*(-4 - 5 - 1).\nAnswer: -10*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b + 13. Calculate r(3).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.4 + -0.1. Let x = -2 - -1. Let d = x - -0.5. Which is the second biggest value? (a) -1 (b) d (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -80236, -80328, -80420, -80512, -80604, -80696?\nAnswer: -80788","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Let y(g) be the second derivative of -3*g**4\/4 - 5*g**3\/6 + 7*g. What is the second derivative of y(o) wrt o?\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35 a factor of 65030?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4891 and 201.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + (-4 - (6 - 7)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 306374*z**2 - 499*z**3 - 612748*z**2 + 306374*z**2 + 562*z**3.\nAnswer: 63*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 167906?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 - 14 - 49)*(-39 - 15*v + 39)*(v - v - 2*v) to y*v**2 + n + c*v and give y.\nAnswer: -1860","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 10 = 2*z + 3*c, z = c - 1. Let b = 41 + -40. Let w(r) = r**3 - r. Let l(k) = 2*k**3 + k**2 - 4*k + 1. Let s(t) = b*l(t) - 3*w(t). Give s(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -959, -962, -963, -962, -959, -954?\n\"Answer: x**2 - 6*x - 954","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d + 5 = 30. Suppose d*q - 13 + 13 + 5*q**2 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -286*k + 9165. Let z be v(32). What is the greatest common factor of 6357 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1610 - 241. Suppose 202 = -4*k + 5*m + t, -4*k - m = -1149. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u = -2*i + 16, -u - 98 = -4*i - 81 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -7*t. Let x(f) = -289*f**2 - 293*f - 2. Determine x(g(y)).\nAnswer: -14161*y**2 + 2051*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3900928 divided by 4\nAnswer: -975232","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.72187 kilometers to centimeters.\nAnswer: 872187","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 18800 to the nearest 1000.\nAnswer: 19000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -294 (b) 5 (c) 0.4 (d) -2\/7 (e) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -189 - -193. Solve -3*m = -2*m + z for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 143920423 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 194496 or 194675?\nAnswer: 194675","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -0.37. Let q = -0.37 + r. Which is the third smallest value? (a) q (b) 1\/7 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2039.71 rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 457 + -34 - (7 + 1). What is the greatest common divisor of c and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 4661287, 4661286, 4661285, 4661284?\n\"Answer: -x + 4661288","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 546 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -322, -692, -1058, -1420, -1778, -2132, -2482?\nAnswer: -2828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8 - (0 - -7)) + 12.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 - 188 = 117*k. Put -0.5, k, -2538 in increasing order.\nAnswer: -2538, k, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 0, 18341 in increasing order.\nAnswer: 0, 5, 18341","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 23*y - 40. Let s be c(-2). Let b = 507 + -283. Suppose -b = -5*u - s*u. What is the greatest common divisor of u and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69150495 to the power of 1\/2, to the nearest integer?\nAnswer: 8316","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -13*y - 8. Let t be i(-1). What is the remainder when (10*-51*t\/(-30))\/1 is divided by 49?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 4 - 4*m + 0*m + 0*m. Let w = -31758 - -31769. Let r(b) = 12*b - 11. Give w*t(z) + 4*r(z).\nAnswer: 4*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**4 - 586*b**3 - 1169*b**2 - 584*b.\nAnswer: -b*(b + 1)**2*(b + 584)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (522\/4640)\/(6\/(-155)) and 93\/8?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 0.1 (b) -2 (c) 11 (d) 2.6 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the third derivative of 99*y**5\/20 + 1015*y**3\/6 + 2*y**2 - 29*y - 1. Find the first derivative of g(w) wrt w.\nAnswer: 594*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 126179 - 126176. Factor 0*o + 1\/3*o**j + 0 + 2\/3*o**2.\nAnswer: o**2*(o + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -111\/2552 and -41\/73196.\nAnswer: 1610312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-117)\/2*-23*(-104)\/5382?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 64.0089 - 64. Round g to 3 decimal places.\nAnswer: 0.009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.8 times -0.4\nAnswer: 3.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 50. Suppose -36*a + 28 = -p*a. Solve -a*j - 15 - 1 = 0 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n + 4*n - n + 0 + 0 + n + (-1 + 2 - 3)*(0*n - n + 3*n) + 2*n + 1 - 1 + 5*n + 0*n - 3*n.\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5418)\/(-273) - 20 - (-171)\/13) + -63 + 127?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y - 2*y = 12. Let c = -0.2 - 0.3. Sort y, c, -5 in descending order.\nAnswer: y, c, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -39*l**5 + 246 - 246 + (l + 2 - 2)*(3*l**3 - 3*l**3 + 2*l**4).\nAnswer: -37*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4\/5 (b) 0 (c) -1.1 (d) -19\/4 (e) -2\/7 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = 2*i - 13 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 3*i + 4*d + 242, -4*i - 420 = -4*d. Let o be (-7*2)\/(i\/78). Find x such that -29\/2*x**2 - 2*x - o*x**3 + 2 = 0.\nAnswer: -1, -2\/3, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y = -67*y - 2313 + 369 for y.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 3. Let y be s(10). Suppose -8*p - y = 11. Let m be (-3)\/p - (-16)\/4. Solve -6 = -2*u - m*q + 2, 4*q = 8 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5586 = -663*q - 14868 for q.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35025.\nAnswer: 3, 5, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -217*y**2 - 15*y**2 + 58*y**2 - 20*y**2 + 78*y**2.\nAnswer: -116*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -35 + 3. Which is bigger: -19 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3096 is divided by 280?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 2 - 353*o**2 + 53*o**2.\nAnswer: -300*o**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*b - 20*b = 24 - 141 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*v = 25*v + 8. What are the prime factors of (v - 2)\/((-2)\/1866*9)?\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -47 + 139\/3. Which is the second biggest value? (a) 4 (b) s (c) 0.4 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3300) - (sqrt(3300) + 2*sqrt(3300)))\/sqrt(11).\nAnswer: -20*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 54 and -0.04.\nAnswer: -2.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1446429 a multiple of 309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*sqrt(189)\/sqrt(7).\nAnswer: 12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 4*s**2 - 189*s + 2258. Suppose 5*v - 735 = 5*m, 6*m - m = 3*v - 443. What is the remainder when v is divided by w(24)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6842161232986 take away 0.02?\nAnswer: 6842161232985.98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b - 25*f + 22*f - 14 + 29 = -24, 5*b - 65 = -5*f for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/618 and -179\/30?\nAnswer: 3090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 24849 and 1255.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3081 is divided by 260.\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:58 PM and 9:12 PM?\nAnswer: 194","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 88\/5 of a century in years?\nAnswer: 1760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*b + 7*b - 8*b)*(-25*b**4 - 2*b**4 - 5*b**4) + 0 - 4*b**5 + 0.\nAnswer: 252*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(170) + sqrt(170)*-1*-3 - sqrt(170))\/(sqrt(160)*6 - sqrt(10)).\nAnswer: 3*sqrt(17)\/23","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 717669941?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -w**3 - 2*w**2 - 3. Let y be q(-3). Suppose 3*j = -0 + 6. Suppose y*p = j*p + 300. Round p to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 80 = -t. Let o be ((-22)\/t - -1)*-4. What is the nearest to o in -0.1, 0.02, -3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 384\/(-48) + 146\/16. Which is the second smallest value? (a) 0.01 (b) -3\/5 (c) 4 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 137907?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 6*x + 3*x)*(-3*x + 5*x - x) + 1 - 1 + x**2.\nAnswer: 13*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 4*z + 104 = 0, 3*z = -2*z + 10. Let l be b\/56*7\/(-4). Let s be (-2)\/3 - 28\/(-33). What is the biggest value in s, l, 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -2 - -204?\nAnswer: 202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 AM and 12:33 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/7)\/(-2*(-1)\/2)?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9920672 is divided by 1136?\nAnswer: 1120","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 less than 103.29?\nAnswer: 100.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000469551402 to six decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1.17, -1\/7, -0.07, 1\/3, 0.01 in decreasing order.\nAnswer: 1.17, 1\/3, 0.01, -0.07, -1\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 39 a factor of (55\/(-10) + 2)\/(7\/(-966))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from daudz. What is prob of sequence udzd?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9408\/(-816))\/28*6\/(-14)?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 241 divided by -3.\nAnswer: -241\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out -117641 - -53967.034.\nAnswer: -63673.966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 842*k**2 - 1 + 847*k**2 - 2495*k**2 + 805*k**2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -32*s**2 - 2*s + 2. Let a be f(-3). Let h be 1*-3 + (-11 - a). Suppose -k + 3*i = -75, k - 5*i + h = 5*k. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 10 and 3659.\nAnswer: 36590","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2 from -13374.\nAnswer: -13376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-120)\/(-9520)*-7*4\/3 + (-146)\/204?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-24)\/45*6\/(-8). Let m = -19086\/5 + 2538063\/665. Let v = m + 8\/19. Which is the second smallest value? (a) v (b) -3 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*r + 8, 2*f + 5*r + 5 = -11. Suppose -2*o - f*o = -312. Is o a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/2, 2\/3, 20, -1\/5 in increasing order.\nAnswer: -1\/5, 1\/2, 2\/3, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 524243 is divided by 524234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 1130218 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v = -0*v + 5, -5*j + 2*v = -2 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -71 and -3?\nAnswer: 213","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1994\/73 - 154491\/5402. Calculate the common denominator of m and -83\/62.\nAnswer: 2294","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4 + 1 + sqrt(242))**2*-3*-2.\nAnswer: 1320*sqrt(2) + 3204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -2, -9, -0.4, -3\/5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b + 3*v = 18, 3*b - 7*b - 5*v - 6 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 i when four letters picked without replacement from iiiwiiiwii?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 80\/60 + (-25)\/18. Let u = 12\/17 - 128\/85. What is the second biggest value in u, b, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 61020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(931) + 3 + -2)**2*-4.\nAnswer: -3728 - 56*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14 and -2351.6.\nAnswer: 32922.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -1328.668675 to the nearest ten.\nAnswer: -1330","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = t**2 - t + 6. Let f(i) = i**3 + 3*i**2 + 2*i. Let x be f(-2). What is the units digit of a(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1411714858?\nAnswer: 2, 19, 139, 241, 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, -0.088, -11, 8, 0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1079 = 30*a - 0*a - 299 for a.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 56061.\nAnswer: 3, 6229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20310 is divided by 5073?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1290 and 2365.\nAnswer: 14190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -1fed + 1b?\nAnswer: -1fd2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/285 and 10\/11229.\nAnswer: 56145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -4*m**3 + 3*m**2 + 3. Let f(z) = -9*z - 60. Let g be f(-7). Let v(p) = -5*p**3 + 4*p**2 - p + 4. Give g*v(b) - 4*w(b).\nAnswer: b**3 - 3*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 126188*7534\nAnswer: 950700392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = 61970*l - 309887. Give o(5).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -43058\/5 + 6200677\/720. Calculate the common denominator of 37\/18 and n.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0*q - 4*q - 1)*(35 - 22 + 26).\nAnswer: -156*q - 156","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 5\/4 of a minute?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s = -g - 998185, -5*s + 4*g + 0*g = -998185. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/(f**4*f*f))\/f)**(-47))**(-39) assuming f is positive.\nAnswer: f**(-10998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 - -10. Suppose -a*c = -3*c - 375. What is the remainder when c is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*i - 76 = 28*a, 105 = -a - 4*i + 63 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -4*h, -m + 4*h + 2 = 0. Suppose -m + 0 = -c. Suppose 2 = u - c. Solve -4*o + u - 1 = 5*v, 1 = -v for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -a**3 - 11*a**2 + 12*a. Let y be z(-12). Which is smaller: y or -4\/27?\nAnswer: -4\/27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 6*b - 3*n = 153, -4 = 4*n. Let l(p) = 36*p - 30. Let s(g) = 8*g + 17. Let y(a) = -3*a - 7. Let h(z) = -2*s(z) - 5*y(z). Give b*h(w) - l(w).\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94124 - 93512 = 51*m for m.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 22731257 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -52.6158328 rounded to 1 decimal place?\nAnswer: -52.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.199962118 - 0.030036252. Let o = -9 - -9.23. Let d = t + o. What is d rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/4*y**2 + 295\/2*y - 87025\/4.\nAnswer: -(y - 295)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 10543?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -36.7 - -37. Let i = -1279\/7 - -183. Which is the nearest to p? (a) 6 (b) i (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 1 + 0*u**2 + 1\/3*u**3 + 9*u. List the prime factors of z(0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 3*a)*(58 + a - a**2 - 2*a - 8).\nAnswer: 3*a**3 + 3*a**2 - 150*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 29.818 times 3?\nAnswer: 89.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 135193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -3 - 740\/(-372) - -1. Let i(x) = -4*x + 31. Let h be i(7). Suppose -4*p - 15 = -b, -4*b + h*p + 8 = -0*p. Is a > b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2.2*-5220.2\nAnswer: 11484.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = q + 9. Calculate v(-10).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -s**3 + 2*s**2 + 11. Let q(c) = 3*c**3 + c**2 - 15. Let u(h) = -2*o(h) - q(h). Give u(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 581*f + 7*f**2 - 581*f + (2*f + 0*f - f)*(2*f - 4*f + 5*f).\nAnswer: 10*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 212*h - 216*h - 5*x = -35, 2*x = 14. Solve h = -b - g + 2, -162*g - 10 = 4*b - 164*g for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5 - -8. Suppose 0 = 3*a + m - 12, l*a - 24 = 5*m - 2*m. Suppose 2*o - 52 = -o + a*i, 4*i = -o + 6. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.23? (a) 11 (b) -2 (c) 3\/7 (d) -1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 90 and 405.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11829249?\nAnswer: 3, 1314361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -313 (base 5) to base 3.\nAnswer: -10002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -5*n + 9. Suppose -l + 30 - 42 = 0. Does 12 divide v(l)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*b + 6 = -81*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2519*f - 2745*f + 9718 = 0 for f.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7159316162?\nAnswer: 2, 3463, 1033687","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -270525, -541050, -811575, -1082100, -1352625, -1623150?\n\"Answer: -270525*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 38.86 + -39. Round c to 1 decimal place.\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000074294 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 1 + 0)*(-2*b + 2*b + 5*b)*(30*b**4 - 3*b**4 + 0*b**4).\nAnswer: 135*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from aaaa?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 17 - -a?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 16 = 4*w + 2*a, 12 = 3*w + 3*a. Suppose -21 = -4*b - 3*g, 0 = -3*g - 1 - 2. Let d be 5\/15 - 26\/b. Sort d, w, -5 in ascending order.\nAnswer: -5, d, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 - 6*y**2 - 8*y + 9. Let a be s(7). Suppose -3*f + 22 = -a*f. Is f a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -117 by -489289.\nAnswer: 117\/489289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c + 3*c = 6. Let p be 0*(c + 15\/(-10)). Suppose p = 15*o - 98 - 97. Is o bigger than 13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -7 + 10. Find a, given that -3*a**2 + 2*a - 3*a**3 + 7*a - m*a = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 4*g**2 - g - 3. What are the prime factors of z(-5)?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 134, 135, 136, 137?\n\"Answer: f + 133","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 - z - 7. Let i(s) = 3*s - 17. Let c be i(4). Let p(y) = -3*y - 12. Let u be p(c). Suppose -4*g - 2*k = 8, -u*k - 20 = 4*g + 2*k. What is v(g)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 27 = -4*l, -4*l - 3*z = -0*l + 3. Suppose 3*x - 9 = -g, -2*x + 6*x - 22 = -2*g. What is the remainder when (-40 - 3)\/(2 + l) is divided by g?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the first derivative of p**3\/3 - 5*p**2 + 9*p + 95. Factor x(t).\nAnswer: (t - 9)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 3.5. Let p = -138 + 1516\/11. Let l = 126 - 880\/7. Which is the nearest to p? (a) l (b) h (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of -91*i**3\/3 - 6*i**2 - i + 144. Let m(a) = a**2. Let x(q) = -j(q) + 5*m(q). What is the second derivative of x(w) wrt w?\nAnswer: 192","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 82510, 165532, 248554, 331576, 414598?\nAnswer: 497620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 58717921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-8*(-29)\/(-6))\/((-2)\/6). Let o = u - -43. Does 21 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r and 1 a when four letters picked without replacement from ararr.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 5, 69779, 2, -7 in decreasing order.\nAnswer: 69779, 5, 2, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3087) - 2*sqrt(3087))\/(sqrt(9) + -1*sqrt(1296)))**2.\nAnswer: 343\/121","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2206609748?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(162)*3 + 2) - (sqrt(200)*6 - (sqrt(2) + -4)*-4))**2*2.\nAnswer: -800*sqrt(2) + 1200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -477 = -11*c + 1162. Let g = 84 + -33. Calculate the remainder when c is divided by g.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) be the first derivative of u**3\/3 + u + 2309. Let n(a) = -2*a**3 - 4*a**2 - 3. Calculate -6*i(x) - n(x).\nAnswer: 2*x**3 - 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -281*-4\nAnswer: 1124","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/392 and -25\/14?\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 134.3074 millennia?\nAnswer: 134307.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 190*o + 388. Let a(g) = 3*g**2 - 7*g + 1. Calculate the remainder when a(6) is divided by i(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -81316 * -29.15\nAnswer: 2370361.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3077 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 0*h - 87*h**3 - 6*h - 1 + 205*h**3 wrt h.\nAnswer: 708*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 7*w**2 - 6*w + 3. Let z be o(-6). Let f be ((-45)\/(-12) - z)*48. Calculate the greatest common factor of 24 and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-64)\/66*(-7767)\/6904?\nAnswer: 12\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/6? (a) 0.1 (b) 2\/5 (c) 4 (d) 22.98\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-63)\/(-42)*(-9)\/((-216)\/6)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 262 and 4?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 460 and 5911?\nAnswer: 118220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 2:58 AM?\nAnswer: 12:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jyjjyyyyjy. What is prob of sequence yjjj?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/3*-4)\/((-4)\/(-12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 630827437 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 545604 (base 9) to base 15\nAnswer: 66734","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -87 - -92. Solve 0*z + l*z + t - 2 = 0, -2*z + 4*t + 14 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -u**2 - 1. Let v(k) = -2*k**3 - 5*k**2 + 11*k - 6. Give -6*j(i) + v(i).\nAnswer: -2*i**3 + i**2 + 11*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*c**3 - 3*c**3 - 5*c**3)*(-4*c + 2*c + 4*c).\nAnswer: -8*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/8*-5)\/(78\/(-312)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = s + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = o + 9. Let n be p(-5). Solve 0 + 8 = -5*r - n*b, -5*r = 2*b + 14 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h = -2*h - 4*b - 16, -4*h = 3*b + 12 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vvvpjjejvj. What is prob of sequence jjjv?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(243) + 0)*-4 + sqrt(243)*2 + 4 + sqrt(243) + -1*(2*sqrt(243) + 4))**2*5 + -5.\nAnswer: 10930","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j**4\/5 - 366292*j**3 - 7848296*j**2\/5 + 19883216*j\/5 + 1255776 = 0. Calculate j.\nAnswer: -65405, -6, -2\/7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide 374544 by -93636.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4*l - 2*l + 6*l - 1324*l**2 + 20 + 1307*l**2 wrt l?\nAnswer: -34*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/18*3\/6*(-524)\/(-786).\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 148256 and 45920.\nAnswer: 5188960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -7*p**5\/20 + 2*p**4 + 8*p**3 - 54*p**2. Let r(z) be the first derivative of n(z). Differentiate r(t) wrt t.\nAnswer: -42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 1\/13, 3, -2\/5, -2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) be the first derivative of l**6\/4 - 6*l**5\/5 + 9*l**4\/8 + 138. What is q in a(q) = 0?\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 548*t - 3*t**4 - 4*t**5 - 346*t**2 + 133*t**2 - 11*t**4 - 4*t**5 + 300*t**3 - 517*t**2 - 96 = 0. What is t?\nAnswer: -8, 1\/4, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10011111 (base 2) in base 8?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2718373654 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/((-8)\/408). Suppose o + o + 18 = 0. Let z = g + o. Is 8 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1\/(5\/2)*-10. Let w be s\/(-14) + 657\/(-21). Suppose -5*q - 2*m = 15, 5*m = -4*q - 773 + 778. Put q, -1, w in ascending order.\nAnswer: w, q, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.058 (b) 0.06 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.058 plus 285.56882?\nAnswer: 285.62682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-1419)\/(-4730))\/(32\/(-10) + 2). Which is the closest to 0? (a) z (b) -32 (c) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 23, 85, 229, 497, 931, 1573, 2465?\n\"Answer: 7*l**3 - l**2 + 16*l + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 581 divide 1126559?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 4902, 5178, 5428, 5646, 5826, 5962?\n\"Answer: -l**3 - 7*l**2 + 304*l + 4606","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11608979\/867101235 - -2\/1212729. Calculate the common denominator of l and -9\/5005.\nAnswer: 5005","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 403 = 3*v - 0*z, 0 = 5*v + 2*z - 667. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -11586, -18620, -25654, -32688, -39722, -46756?\n\"Answer: -7034*p - 4552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 72973455 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Solve -41*k - 31 = 282 + 179 for k.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 2*l + 2, 4*d + l = 2*d + 7. Suppose 4*p = 5*p - b - 10, d*b + 30 = 4*p. Let i = -116 + 931\/8. Sort -3, i, p.\nAnswer: -3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2016)*5 - sqrt(56))\/(sqrt(1152) - sqrt(1152)*-3).\nAnswer: 29*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is (3736\/(-12))\/((-4)\/6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a = -224 - 84. Let p = a - 45. Let l(j) = -26*j**3 - 2*j**2 + j + 2. Let y be l(p). Calculate the greatest common factor of y and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 318 minutes after 8:41 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the second derivative of -216*i + 0 - 119\/12*i**4 - 41*i**3 + 0*i**2. What is the second derivative of h(q) wrt q?\nAnswer: -238","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -4*k**3 - 17*k**2 + 8262. Let j(y) = -13*y**2. Calculate z(j(f)).\nAnswer: -2028*f**4 + 442*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3857331*q - 17543683 with respect to q.\nAnswer: -3857331","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 402\/(-134) + (-67)\/(-23)?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 898 and 16.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 354830537 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = z + 5. Give h(-13).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 15*w + 1. What is h(-2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-11)\/33*(-372 + -3 - -3). What is the highest common divisor of 589 and r?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 - -5. Suppose -t*r = 3*z - 9, 0 = -4*r - 7*z + 4*z + 9. Is 1465\/1 - (0 + r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 39 by -9.\nAnswer: -13\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 493336040 a multiple of 2930?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -102776, -101549, -98222, -91745, -81068, -65141, -42914?\nAnswer: -13337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 2:48 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010100 - 1101?\nAnswer: 11000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 44 - 3*w + 621*w**2 + 230 + 692*w**2 - 1410*w**2 wrt w.\nAnswer: -194","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8423 is divided by 35?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-27))\/((-1)\/2). Let s = -1\/9 + g. Let d = -7 + 6. Is s >= d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 132, 514, 1260, 2490, 4324?\nAnswer: 6882","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/60*-2*-5)\/2.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2332*g**2*t**3 - 247899*g**2*t - 2065*g*t**5 + 10*t**2 wrt t?\nAnswer: 13992*g**2 - 123900*g*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 366 + -348. Let s = 26.2 + -4.2. Let z = f - s. What is the second biggest value in -2, -3\/5, z?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 + c - 18. Calculate u(0).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sum -629.05 and -384.\nAnswer: -1013.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 5*d - 25, 16*x = 19*x - 5*d + 5. Solve 5*a - 2*t - 16 = 0, x*t - 26 = 2*a - 6*a for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 5*f**2 + 6*f + 9. Let o(h) = -10*h**2 - 11*h - 20. Determine 11*l(t) + 6*o(t).\nAnswer: -5*t**2 - 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 10311767 and 1282?\nAnswer: 20623534","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h = 3*t - 5, -45*t + 20 = 2*h - 43*t for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 20288 and 205416.\nAnswer: 1643328","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -43.92 + 44. Is f at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:45 PM and 12:56 AM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3779 (b) -1\/4 (c) 0.2 (d) 92 (e) 0.4 (f) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-22))\/((-198)\/108*21\/154)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**5 - 3*z**5 + z**5 - 2*z**5 + z**5 - z**5 + (3*z**3 + 0*z**3 - z**3)*(20*z**2 - 559*z**2 + 16*z**2).\nAnswer: -1050*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 157 - -394. What are the prime factors of k?\nAnswer: 19, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(sqrt(68) + (sqrt(68)*1 - sqrt(68))))\/sqrt(4))**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 19272 and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2332982 plus -23535836?\nAnswer: -23535836.2332982","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42 + 42 + 26*w)*(4 - 2 - 3) - 3*w - 4*w + 5*w.\nAnswer: -28*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -7 + -4 + 16 + -14\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-26)\/((-2)\/2)*(-21)\/((-231)\/(-11))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -9 + -26 + (18 - 5) + -1\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 1, q: 3, j: 3, r: 6, k: 3, e: 1}. Give prob of sequence rre.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (858 + 288 - 548)*(3*u + 0*u + 7*u)*(5 + 1 - 4) to d*u + i and give d.\nAnswer: 11960","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1039, 1167, 1455, 1963, 2751?\nAnswer: 3879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h**2 + 1064*h - 5370 = 0. Calculate h.\nAnswer: -537, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = d**3 + 2*d**2 - d + 3. Let x be s(-2). Suppose -x*a - 7 = 3. Put -1, 5, a in decreasing order.\nAnswer: 5, -1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z - 5. Let h be k(-8). Solve -5*f + 0*a + a + 20 = 0, 3*a = h*f - 24 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1153 - -14?\nAnswer: -1135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 32763115 divided by 85099?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 693 by -2.\nAnswer: -693\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p**5\/2 - 9*p**4\/2 - 9*p**3\/2 - 3*p**2\/2 = 0. Calculate p.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 273\/7*(-1 + 8). Suppose -117 = -15*l + t. What is the remainder when 311 is divided by l?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 117*y*z**5 - 23*y*z**3 + 12482*y*z wrt z.\nAnswer: 2340*y*z**3 - 138*y*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 15) to base 4\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is seventeen halves of a milligram in micrograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -597*s + 594*s + 3*s**2 + 2*s**2 + 4 to o*s**2 + n*s + u and give o.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -90.61 + 91. Round u to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = 2*i**3 + i**2 + i - 2. Let m(u) = -224*u**3 + 80*u**2 + 80*u - 48. Let w(d) = -160*l(d) + 2*m(d). Differentiate w(b) with respect to b.\nAnswer: -2304*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**0)**(-25))**(-2\/5) assuming n is positive.\nAnswer: n**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6 + -6.3. Let n = -9774 + 9778. Which is the fourth biggest value? (a) n (b) 0.2 (c) 5 (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 793083.5ug?\nAnswer: 0.7930835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 22 + 19*w + 16 - 38 as l + u*w and give u.\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 715.88 - 773. Let y = -0.88 + r. Let c = y - -58.000033. What is c rounded to 5 decimal places?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-18)\/w)\/(w\/((w*w**(2\/25)\/w)\/w))*(w\/(w\/(w**22\/w)))\/w**22 assuming w is positive.\nAnswer: w**(-548\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o**3 - 20*o**2 - 19*o + 10. Suppose 50 = 13*v - 15*v - 2*l, 0 = 3*v + 5*l + 87. Give c(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18474*h + 18560*h - 37034*h - h**2.\nAnswer: -h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 + 148692*u**2 + 1189390*u - 1338084.\nAnswer: 2*(u - 1)*(u + 9)*(u + 74338)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -23361 or -23350?\nAnswer: -23350","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -204552 - 241?\nAnswer: -205233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -3\/2 (b) 4\/49 (c) -1 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**4 - 13*l**3 + 41*l**2 - 47*l + 18.\nAnswer: (l - 9)*(l - 2)*(l - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-288)\/(-6))\/(-4) + 121\/10)\/(3\/(-45)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8738193?\nAnswer: 3, 29, 47, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -261 + 465. Let v = -210 - c. Let y = -115 - v. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -37 - 163. Round d to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 63000 and 1400?\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 24*v + 1 + 7*v**3 + 7*v**3 - 25*v to the form h*v**2 + r*v + z*v**3 + p and give z.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 368\/581 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3 - (3920\/(-12))\/20 and 20\/1209?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.5, 10, 102, 3\/7, -2\/3.\nAnswer: -2\/3, 3\/7, 0.5, 10, 102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 8116 to the power of 1\/4, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 8 = -b. Suppose -g + b*o = 2, -5*o = -g - 5 - 9. Suppose -3*x - 2*x = -15. Calculate the greatest common factor of x and g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:56 AM and 6:48 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (0 + (-9)\/(-6))*4. Suppose -q*f = -8*f - 804. Is ((-8)\/24)\/(2\/f) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of 0 + l - 1\/3*l**4 + 0*l**2 - 2\/3*l**3 - 1\/20*l**5. Determine k so that q(k) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/3))**(-1\/5) assuming m is positive.\nAnswer: m**(1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*a**4\/8 + 1539*a**3\/8 + 3069*a**2\/8 + 1533*a\/8 = 0 for a.\nAnswer: -511, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = -5*l + 5*h - 4, 42 = -5*l + 2*h. Let y(m) = -m**3 - 7*m**2 + 9*m - 3. What is y(l)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -12. What is the smallest value in f, -4\/7, -0.5?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.22 times -889\nAnswer: 195.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 14.62 + 0.38. Let a = -15.300058 - -0.299758. Let z = j + a. What is z rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 + 4*l + 4*l - 8*l + l - 9*l**3 as j + d*l**2 + o*l**3 + t*l and give o.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**2 + 9*y + 10. Let k = -19 + 32. Let d be k + (0\/(-3))\/(-1). Suppose 4*c + 20 = -o - 3*o, 4*o = -3*c - d. Determine g(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6818 divided by -7.\nAnswer: 974","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 21 a factor of 459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) be the third derivative of -j**6\/120 + j**5\/15 + 2*j**4\/3 - 4*j**3\/3 + 19*j**2 + 22*j. Let l be 0 - 17 - 0\/2. Is r(l) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + -1 + (sqrt(17) + sqrt(51)\/sqrt(3))*-1)**2*-5.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 3 = -5*h. Suppose 2*c = u - 13, 0 = -0*c + 4*c - 4*u + 32. Let p be h\/5 - 17\/c. Let g(v) = v**3 - 5*v**2 + 5*v - 2. Give g(p).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ocfq when four letters picked without replacement from mqmggocqf?\nAnswer: 1\/1512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-102)\/(-20) - 5) + 398\/80*4. Solve 33 = -q*i - 27 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/((3\/12)\/(62\/372)*1)?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -2*r + 6013 + 453, 5*f + 4*r + 10740 = 0. Let y be (21\/(-28))\/((-2)\/f). Let g = -338 - y. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -4*j - 4. Let c be n(-3). Let t be (-206)\/(-8) - (-2)\/c. Suppose -115 = -5*v + 2*l, 3*l - 2*l + t = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - 21 = -3*k, 3*k = 4*s + 72 - 43 for s.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -46 + 28. Let a be ((-4)\/(-6))\/(3\/t). Is (a\/(-6))\/((-3)\/(-45)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 - -4. Suppose -12 + o = 5*a - z, 0 = -2*a + 4*z. What are the prime factors of (38\/(-57))\/(a\/93)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -263, 1 in decreasing order.\nAnswer: 1, -40, -263","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10 + 17. Differentiate 3*w**4 + w**2 - 4 - w**2 - u*w**4 with respect to w.\nAnswer: -16*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the second derivative of d**6\/90 - 61*d**5\/60 + 80*d**4\/3 - 50*d**3 + 355*d. Solve q(m) = 0.\nAnswer: 0, 1, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 250*g - 234*g + 437*g.\nAnswer: -47*g - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-20*i + 31*i - 19*i - 3)*(6*i + 7*i - 5*i)*(-3 + 5 - 1 + 0 + 0 + 1 + (-1 + 1 + 2)*(-3 - 1 + 5) - 2 - 2 + 3) in the form j*i + v*i**2 + w and give v.\nAnswer: -192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 t, and 1 e when three letters picked without replacement from sststqseqttkssgtg?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -9142224 - 25?\nAnswer: -9142249","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 485980, 971961, 1457942, 1943923, 2429904, 2915885?\n\"Answer: 485981*o - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/65 < 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 + 97 - 93)*(-2 + 2 - 2 - 4*m).\nAnswer: 264*m + 132","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -332.24 rounded to the nearest 100?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -24382.00641 and 0.1?\nAnswer: -2438.200641","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h - 3 = -2*r - 8, -4*h - 10 = r. Let p = 14 - r. Suppose -p*n + 0 = 4. Is -1 at most as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -24*z + 668. What is i(28)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = -6*w + 9*w - 64, w - 12 = -3*d. What is the smallest common multiple of w and 23?\nAnswer: 552","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*(o\/(o\/(((o**(-3)\/o)\/o*o)\/o)))\/o*o)**9 assuming o is positive.\nAnswer: o**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 plus 12367385.774?\nAnswer: 12367381.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 15663427 to the power of 1\/2, to the nearest integer?\nAnswer: 3958","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 4795011 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -22 (base 10) to base 2\nAnswer: -10110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -91, -172, -253, -334?\n\"Answer: -81*w - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w = 15 + 40. Suppose 4*y = 3*h - 6*h + 26, w = 3*h + y. Is -5 + h - -4*367 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 34 in descending order.\nAnswer: 34, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1))**(6\/19))**(-2\/31)*((z**(-1)\/z)**(-2\/21))**(-5\/9) assuming z is positive.\nAnswer: z**(-20\/189)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round -18025 to the nearest 1000.\nAnswer: -18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 46 + -139\/3. Let c(y) = 5*y + 0*y - y - 10 - y. Let r be c(3). Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 6 = 2. Let v = -3 - -2.5. Which is the nearest to k? (a) v (b) -2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -217.4 + 217. Let l = 14 + -13.91. Let c = l + 1.91. Put s, c, 4\/5 in decreasing order.\nAnswer: c, 4\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6819, 140, -4, 1, -5 in increasing order.\nAnswer: -6819, -5, -4, 1, 140","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = p - 6*p + 4, -p - o + 1 = 0. Suppose 0 = h - 0*m + m - 4, 5*h = m + 8. Suppose 6 = w - h. Solve 4*n + w + p = 0 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 52099 to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3110213 is divided by 3104?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -50030401 divided by 50030401?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyqyyyyqyqyqyyy. What is prob of sequence qqyy?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o**4\/5 + 43893*o**3\/5 + 469465251*o**2\/5 - 53811551749*o = 0. Calculate o.\nAnswer: -22219, 0, 545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (3 + -1 + sqrt(500) + 3 + -1 + sqrt(500) + 4)**2.\nAnswer: 320*sqrt(5) + 2066","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 43615 or -0.08?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -2 + (sqrt(2736) + -1)*-2)**2.\nAnswer: -48*sqrt(19) + 10945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7 + -4. Suppose r*u - 10 = u. Suppose u*y - 4*b = 28, 4*b - 2 = -3*y + 2. Solve 4*t - 5*m + 4 - 2 = 0, -y*m - 14 = 2*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -q**8\/168 - q**7\/105 + q**6\/12 + q**5\/30 - 2*q**4\/3 + 4*q**3\/3 + 6*q**2. Factor t(b).\nAnswer: -2*(b - 1)**3*(b + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 550803866 to the power of 1\/4, to the nearest integer?\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*d - 5*s + 65, 4*s - 22 - 28 = -2*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16941, 16831, 16721, 16611?\nAnswer: 16501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1 - 65961\nAnswer: -65960","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) be the first derivative of -4\/5*y**5 + 114 - 2\/3*y**6 + 0*y - 4*y**2 + 3*y**4 + 4\/3*y**3. What is z in h(z) = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 7. Let a be i(7). Let b = a + 10. Let o = 5 + -1. Calculate the remainder when o is divided by b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2. Let o be 2\/(-5) - 12\/(-5). Suppose 5*a + 0*a = -5*z + 45, 4*a - 5*z = 45. Let q(u) = -2*u**o + 10*u - a*u. Give q(w(s)).\nAnswer: -2*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 2*v**2 - v - 3*v**2 - 1 - 3*v. Let u be x(-5). What is the remainder when (30\/4)\/(u\/(-8)) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 354600?\nAnswer: 2, 3, 5, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 119415714 and 132?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 2*z. Let v(q) = -2*q + 21. Let d be v(9). Let k(h) be the second derivative of 39*h - 40*h + 2*h**d - h**3. Calculate k(f(l)).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 22 = -3*r. Let h be (-1)\/((-1)\/(-2)) - r. Suppose 0*m = -m + h. List the prime factors of m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -11515, -10557, -8947, -6685, -3771?\n\"Answer: 326*m**2 - 20*m - 11821","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.07*105.52.\nAnswer: -7.3864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 189*n + 769*n + 25866 for n.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/4311703 and 19\/3527757.\nAnswer: 38805327","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*t - 8 + 155. Suppose 18*l + 153 = -1089. Let y = t - l. Solve y = j + 3*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 48, 13\/9, -1 in ascending order.\nAnswer: -1, 13\/9, 21, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1903 and 91344?\nAnswer: 91344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 5*g - 8 + 23, 2*k - 10 = -g. Factor -4\/5*t**5 - 6\/5*t**4 + g*t**2 + 0 + 0*t - 2\/5*t**3.\nAnswer: -2*t**3*(t + 1)*(2*t + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/2 + -8 + (-2)\/(-1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 8.218429 centimeters?\nAnswer: 82184.29","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -5 and 1182 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22 (base 8) to base 15.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8 divided by -19.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 535 (b) 6 (c) 3 (d) -15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:25 AM and 1:57 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (78\/(-72) - -1)*(-16)\/78. Is z bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 11002022 + 0?\nAnswer: 11002022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = 47*t**2 + 2*t + 10. Let f be z(-4). Let m = -62583\/83 + f. Let s = -85\/166 - m. Which is the closest to s? (a) -0.1 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/(120\/8))\/((-42)\/(-945))\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-42\/11)*c)\/c)\/c*c**17*c*c**(-1\/5)*c*c**37\/c assuming c is positive.\nAnswer: c**(2804\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -37\/13012 and -81\/32.\nAnswer: 104096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -12*f**2 - f - 8. Let p(n) = 94*n**2 + 9*n + 67. Calculate -34*g(s) - 4*p(s).\nAnswer: 32*s**2 - 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the third derivative of -y**5\/30 + 97*y**4\/12 - 32*y**3 + 428*y**2 - 3*y + 1. Factor k(t).\nAnswer: -2*(t - 96)*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3448*k + 16 + 12 = 16*c + 3447*k, -2*k = 2*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9060137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xx when two letters picked without replacement from {v: 3, x: 8}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 78, 1\/1784, 0.\nAnswer: 0, 1\/1784, 78","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/(d\/(d*d*d\/((d\/(d**19\/d))\/d))*d))\/d)\/(d\/(d**(18\/13)\/d)) assuming d is positive.\nAnswer: d**(239\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 70*t**4 + 274676*t**3\/9 - 277162*t**2\/3 - 8684*t\/9 + 14048\/3 = 0. What is t?\nAnswer: -439, -2\/9, 8\/35, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put together 111 and 67072.\nAnswer: 67183","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9900*q + 15249*q**2 - 9892*q - 9893*q + 29685*q.\nAnswer: 15249*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -121*d + 1113 = -2868*d + 7291 - 39142 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1516, 1527, 1560, 1627, 1740?\n\"Answer: 2*i**3 - i**2 + 1515","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -249 - 2*t + 249. Let s(r) = -4*r. Give p(s(d)).\nAnswer: 8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4142715 (base 8) to base 16.\nAnswer: -10c5cd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 25324.\nAnswer: 2, 13, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0*-138958.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 4, j: 3, m: 5}. Give prob of picking 1 j, 2 m, and 1 s.\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-3)\/(-13350)*6)\/1. Let n = -162449\/17800 + i. Calculate the common denominator of n and 49\/22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do -20\/37 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - 0 - -4 - 4.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 2753243934 to the power of 1\/2, to the nearest integer?\nAnswer: 52471","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -2\/3, -2, 2\/7, -5, 221\/7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 3*g**3 - 1941*g**2 + 3861*g + 5805 = 0.\nAnswer: -1, 3, 645","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = y - 3. Let z be f(4). Let t = 79\/5 + -16. What is the nearest to z in -3, 0.1, t?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.997821ml in litres?\nAnswer: 0.000997821","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2602*a**2 - 2603*a**2 + 10471*a**2 - 2634*a**2 - 124 - 2594*a**2.\nAnswer: 38*a**2 - 124","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence susu when four letters picked without replacement from uuuuuuusuuuuuusussus?\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -40124 + 3444?\nAnswer: -31130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**0\/b**(-1\/3)*b**(-3\/5)\/(b\/(b**(-6)\/b*b))*(b**5*b**(-2))\/(b**(-1))**(3\/13) assuming b is positive.\nAnswer: b**(-787\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1.3 - 1.24. Let j = -0.56 + t. Put -2\/7, j, 0.1 in ascending order.\nAnswer: j, -2\/7, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1969 <= -17720\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1176055086 to the nearest integer?\nAnswer: 1056","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -485 + 498. Let v(l) = 2 - 4*l - 1 + u - 6 - 3. Calculate v(-4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 413621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the third derivative of -j**6\/120 + 11*j**5\/60 + 11*j**4\/24 - 25*j**3\/3 + 97*j**2. Let k be f(11). Is 70 at most k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 - -5. Let f = 73 - 78.9. Let k = f - -6. Which is the nearest to k? (a) -0.3 (b) 4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.1 * -0.824.\nAnswer: -0.0824","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4470*h + 3998*h - 1853*h.\nAnswer: 6615*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.97 + 0.03. Let z be -3 + (-4)\/12*-5. Sort u, z, 5.\nAnswer: z, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pq when two letters picked without replacement from qpqppppqqppq.\nAnswer: 35\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (2\/24*4)\/((-3)\/45). Let x(q) = 5*q**3 + 25*q**2 - 2*q - 3. Let k be x(t). Let y(b) = -b + 12. Let z be y(7). Solve 3*d = z + k for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 232 (base 4) to base 13\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -28 + 17 + (32 - 0) + -70 + 3 + -1?\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -7550 at least as big as -5777?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -6 + -3*(-56)\/21 - 0. Which is the fourth biggest value? (a) -2 (b) -0.2 (c) o (d) 0.123\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 66280 + -66279. Let x = 75 + -106. Put x, b, 4 in descending order.\nAnswer: 4, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) be the third derivative of 0 - 3*p**2 + 0*p**4 + 0*p**3 + 0*p - 1\/60*p**5. Let u(c) = 2*c + 0 - 3*c + 0. Give u(f(k)).\nAnswer: k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 4*v - 14 = 0, 22*l + 4*v + 22 = 21*l for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 656?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*((-4*sqrt(204)*1)\/((2*sqrt(84) - sqrt(84))\/sqrt(7)) - (sqrt(17) + sqrt(102)\/sqrt(6) + -1 - (-3*sqrt(17) + -5))).\nAnswer: 20 + 45*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 64\/3, -0.2, 0.4 in descending order.\nAnswer: 64\/3, 4, 0.4, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 12 times -18390\nAnswer: -220680","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 AM and 3:00 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*z = -120 - 90 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 916930157 to the power of 1\/3, to the nearest integer?\nAnswer: 972","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(2\/65)*u)\/((u*u**(3\/10))\/u)*u\/(u\/(u\/(u**(-2\/13)*u)))*(u*u**(-28))\/u)**(-33) assuming u is positive.\nAnswer: u**(23265\/26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-17)\/323)\/(17\/34). Which is greater: -2.366 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110 and 2255.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 91 = 31*f - 44*f for f.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 82521696 - 122*f**3 - 82521696.\nAnswer: -122*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a**3 - 5*a**2 - 2*a - 3. Determine c(6).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*x - 15*x - 20. Suppose -h = x*d - 2*h - 5, d + 2*h - 12 = 0. Factor -4*p - 4 - 29*p**2 + 16*p**d + p**3 + 17*p**2 + 3*p**3.\nAnswer: 4*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -220 - 3*z**4 - 216 - 10*z**2 - 28*z**2 + 439 to n*z**4 + q + d*z**3 + j*z**2 + x*z and give q.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1300 and 43030780?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u - 2*u = 12. Let h be 3 + -4*1 - u. Factor 2\/7*q**4 - 4\/7*q**h + 0*q**2 - 2\/7 + 4\/7*q.\nAnswer: 2*(q - 1)**3*(q + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*a + 2*a = -l - 10, -4*l = -4*a + 24. Let m(j) = -2*j**2 + 64*j + 70. Let x be m(33). Sort 17, x, a in increasing order.\nAnswer: a, x, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) be the second derivative of t**8\/126 - 4*t**7\/315 + t**6\/180 + 3*t**2 - 7*t. Let o(a) be the first derivative of v(a). Let o(r) = 0. What is r?\nAnswer: 0, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f - 24 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1099820767 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 22\/5843929?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1199?\nAnswer: 11, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 5*u**2 - 3*u + 2. Let v(p) = -6*p**2 + 4*p - 3. Let g(t) = -5*k(t) - 4*v(t). Find z such that g(z) = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2919)\/(-278)*(-8)\/14?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * -0.00250131.\nAnswer: 0.001000524","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uhu when three letters picked without replacement from uuhhuuhuuuuuhh.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f + 14 = 5*o, 7173*o + 5*f = 7169*o - 38 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 43174224 to the power of 1\/2, to the nearest integer?\nAnswer: 6571","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 48\/5 of a day?\nAnswer: 13824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-10))\/6)\/((-36)\/(-486))\nAnswer: 9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -39*c**2 - 177*c**2 - 41*c**2 + 16*c + 3 + 256*c**2 in the form d*c + i + t*c**2 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -3*d - 6. Let o be n(-3). Suppose a - o*j + 6 = 0, -8*a + 5*a - j + 2 = 0. Suppose 6*q + 125 - 407 = a. Is 47 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26382889708.57865999 + 26394998414.52866. Let x = k + -12108706. Let p = -0.05 - x. What is p rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h = -6*g + 5*g + 22, 10 = g + 2*h for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/11, -5, 1, 6368 in decreasing order.\nAnswer: 6368, 1, 4\/11, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the second derivative of z**7\/252 - z**5\/10 - 13*z**4\/12 + 4*z. Let p(x) be the third derivative of n(x). Find the first derivative of p(y) wrt y.\nAnswer: 20*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10*f**4 + 32*f**4 + 31*f**4 + 187*f**4)*(4 - 1 + 0) in the form p*f**2 + w*f**3 + n + c*f**4 + v*f and give c.\nAnswer: 780","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5628 - -5619. Put -4, 1, w, 3 in descending order.\nAnswer: 3, 1, -4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 29*k - 7*k + 59*k - 1458. Put 4\/7, 3\/8, k, -0.5, 5 in decreasing order.\nAnswer: k, 5, 4\/7, 3\/8, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16843*x**3 + 3*x**2 - 2*x + 9071 wrt x.\nAnswer: -101058","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 326, 327, 328?\n\"Answer: p + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 26 (base 12) to base 5.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2149 a factor of 697836174?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.078, 1\/6, 0.4.\nAnswer: 0.078, 1\/6, 0.4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10275 to the nearest integer?\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 490\/28*(0 - -2).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -36 and -0.116?\nAnswer: 4.176","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2 - 221?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Divide 81 by -20.\nAnswer: -81\/20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y + 1 = 21, 23 = -4*l - 3*y for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = -n + 4*s, 106*n - 5*s = 102*n + 24 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -30*s + 9*s - 10*s - 20*s to a*s + q and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(720) + 1 + sqrt(720))**2 - sqrt(5))*-6 - (0 + (-3*sqrt(15)\/sqrt(3) - sqrt(5))**2).\nAnswer: -17366 - 282*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2360, 2365, 2372, 2381, 2392, 2405?\nAnswer: 2420","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 4*h. Let q(k) = 31*k + 2*k**2 - 71*k + 34*k. Give b(q(y)).\nAnswer: 8*y**2 - 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 865 is divided by 73.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*p**2 + 50*p + 55.\nAnswer: -5*(p - 11)*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 4, c: 1, d: 2, u: 2, s: 7}. Give prob of sequence gsgu.\nAnswer: 1\/260","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = p - 6. Let l be m(8). Suppose -z + 4*k = -5 - 166, 0 = 5*k. Let o = z - 165. Solve -l*g - g + o = -5*b, -2*b - 10 = -5*g for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (41 - (-3993)\/(-99))\/(444\/72)?\nAnswer: 4\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 1 + 10 - 4 + 27*w + 2. Let j be c(4). Let p be -13*(-2 + (-3)\/(-3)). Calculate the highest common factor of p and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.4597 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 32 - 18. Let o(c) be the second derivative of 2*c**5\/5 + c**4\/4 - c**3\/6 - 2*c**2 + 2*c. Let s be o(2). What is the greatest common divisor of s and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -46 - -48. Let j(c) = c**3 - 3*c**2 - c + 5. Let l be j(3). Suppose l*h = 7*h - 10. Calculate the smallest common multiple of h and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 5*x**3 - 12*x**2 + 169*x - 719. Give t(5).\nAnswer: 451","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 12*n + 305. Suppose -5*u + 2*j - 113 = 0, 0 = -30*u + 32*u + 6*j + 86. Determine o(u).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -7*j - 234. Give o(16).\nAnswer: -346","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express r**3 - 13*r**2 - 20*r**2 - 2*r**3 - 3 + 1 + 24*r**2 in the form s*r**2 + k + m*r**3 + q*r and give s.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1763\/7 - -251. Let y be (-2)\/6 + 10\/(-6) + 0. Which is the smallest value? (a) 5 (b) y (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -2*l**2 - 6*l + 14. Let b be m(-5). Let f = b + 48\/7. Let -f*r**2 - 10\/7*r + 4\/7 = 0. What is r?\nAnswer: -2, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**2 - 2*c + 2. Suppose 2*j = -j + 72. Suppose -64 = -8*y - j. Suppose -y*g = 7 + 8. Give u(g).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.00074, 1\/3, 1\/2?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 - (-14 - (12 - 21)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q - 2*q - 3*q)*(27 - 70*q - 27)*(0*q - 5*q + 2 + 0*q) + (-4 + 4 + q**3)*(1 + 4 - 4).\nAnswer: -2449*q**3 + 980*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2))**(-23\/2))**(1\/57) assuming l is positive.\nAnswer: l**(-23\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -25*a**2 - 7*a. Suppose 3*w = 4*w - 3. Let r(o) = -4*o + 7. Let y be r(w). Let m be g(y). What is m rounded to the nearest one hundred?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.1 or 1385\/16?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o\/(o*o**(-3\/8)\/o))))\/o**(-17)*(o\/(o*o**(-1\/15))*o)\/(o*o**(7\/4)) assuming o is positive.\nAnswer: o**(2003\/120)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from aazzammaazaazmazz.\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-35)\/(-14) - (-2 + (-9)\/(-6)). Solve 0 = w + o, 0*m + 4*w + 8 = -2*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 5\/8 of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (sqrt(13) - (sqrt(13) - sqrt(117)*5)))**2*-4.\nAnswer: -11700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-1)*n\/n**(-2))\/(n\/(n**(-5)*n)*n*n**(-4\/3)\/n) assuming n is positive.\nAnswer: n**(-5\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1420009 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -40944*m + 491403. Give t(12).\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + 0 + sqrt(13) - (sqrt(832) - 2*sqrt(832))**2.\nAnswer: -836 + sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -184898 by 2.\nAnswer: -92449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 257849 + 2196*c - 257849.\nAnswer: 2196*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * -0.141275062.\nAnswer: -0.565100248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 36 and 689004?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 91585?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 197 (b) -2\/9 (c) 1761\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 984.07083 rounded to 1 decimal place?\nAnswer: 984.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 5, -9649 in descending order.\nAnswer: 5, 2, -9649","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18790.\nAnswer: 2, 5, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:58 PM and 4:59 AM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232 + 229. Calculate the common denominator of (4\/b)\/((-20)\/48 + 0) and (-22)\/(-56) - (-1)\/(-4).\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 - (-10 + 21 + (-6 - 1)).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1643.81356 and 0.8227?\nAnswer: 1644.63626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2c1 + -3?\nAnswer: 2bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 77184 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 7 divided by 107261\nAnswer: 1\/15323","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-1)\/sqrt(800).\nAnswer: -sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0 - ((-586)\/10 + 2\/(-5))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36\/306 - 21\/1190.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13, 29, 59, 109, 185?\nAnswer: 293","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - 13. Let l be 260\/(-24) - 10\/(-12). Let m = n + l. Solve -m*u + 14 = k - 0*k, 4*k = 3*u - 1 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5 = -2*c + 13, 3*v - 16 = -4*c for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 4*w - 1319, -3*w + 6*g + 988 = g. Let b = -327 + w. Solve -2*n + l - 4*l = -10, -18 = -b*n - 5*l for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -3, 348, -5, 285\/37?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2 - (160\/6)\/10. What is the closest to -3 in h, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -216 + 1725\/8. What is the smallest value in 5, r, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135 + 125 = 5*b. Sort b, -19, 2 in decreasing order.\nAnswer: 2, b, -19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 25 = 3*i + 8*t, 0 = -3*i - 2*t + 19. Suppose 0 = i*f - 125 - 730. What are the prime factors of f?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 64 and 90144.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/(k**2\/k))\/(k*k**(1\/9)) assuming k is positive.\nAnswer: k**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/3 - 6)*(5418\/(-42) - (-10 + 4))?\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/3 + (-209)\/(-3). Suppose r = 4*o - 3*v, -v = 3*o + 4*v - 38. Solve 4*k + 4 = 3*d + d, d = -4*k + o for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -4) + (173 + -212 - (3 + 9)).\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Divide 18189 by -1.\nAnswer: -18189","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 30 = 5*r, 25*r - 13 = 29*r + v for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -4d82a (base 14) to base 16\nAnswer: -2e9de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -p + 5*h - 29 = 0, -4*p + 5 = -5*h + 46 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + ((sqrt(200) - 3*sqrt(200))*-3 + 3)**2.\nAnswer: 360*sqrt(2) + 7214","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 58099454 is divided by 16?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**3*h**3*z**2 - 56*a**3*h**2*z - 21*a**3*h - 8*a**2*z**3 + 166717*h**3*z**3 wrt h?\nAnswer: -12*a**3*z**2 + 1000302*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 268 is divided by 90.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 64861130 and 12972226.\nAnswer: 64861130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 597 and 33?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -o**3*r**2 + 13*o**3 - 6344*o**2*r**2 - 2*o**2*r + 2*o**2 + 16*o*r**2 + 2*r - 11443 wrt r.\nAnswer: -2*o**3 - 12688*o**2 + 32*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bq when two letters picked without replacement from {v: 1, q: 4, b: 6}?\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -857\/541 at least as big as -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 453423?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -21. Let m = 16 - j. Find the second derivative of 13 - 9*p**m - 9 + 7*p - 4 wrt p.\nAnswer: -54*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.11 * 35918373\nAnswer: 3951021.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*o**2 + 2241 + 7*o - 4468 + 2233 + (2*o - 2*o + 2*o**2)*(6 - 2 - 2) to the form v + p*o**2 + z*o and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/5 of a litre in millilitres?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.94 + -1. Suppose 14*c - 7 = 15*c. Let h be 3\/9 - c*7\/(-588). Which is bigger: h or i?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 375646 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 - (-2)\/15) + (-2)\/6. Which is the third smallest value? (a) -3 (b) v (c) -3\/10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 1 + 2 + 0*c - 5 - 3*c. Let f be v(-11). Let n = 33 - f. Solve 4*s + 2*q = 14, -n*q - 19 + 3 = -2*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-13 + 5 - (0 - -2)) + 1. Let k be (-4 - -7)\/l - 1. What is the third biggest value in -0.1, k, -0.2, -4?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of -1*(-7766)\/(-88)*1*-32?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -88*c**4 - 3*c**3*i**2 - 565*i**2 wrt c.\nAnswer: -352*c**3 - 9*c**2*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*g + 52*g = 47*g - 2702 + 1177 for g.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -26*y**2\/11 - 16*y\/11 = 0.\nAnswer: -8\/13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a litre in millilitres?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 6*(96\/(-9))\/(-4). Suppose -s = 3*s - i. Suppose 2*q - r = s*q - 2, -2*q + 3*r = 6. Solve z + 4 = 2*t, q = -5*t + 17 + 3 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the first derivative of s**3\/3 - 3*s**2 + 2*s - 7. Calculate the remainder when m(9) is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -447 + 764. Suppose 0 = -d + 5*m + 97 - 384, -d = 5*m + c. Let f = -111 - d. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41 = 4*v - t, -4*t = 2*v - 27 - 7. Calculate the common denominator of v and 1 + (97\/(-4) - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 88543021.\nAnswer: 7, 17, 19, 39161","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 186272 less than -625066?\nAnswer: -811338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -281 - -308. What is the lowest common multiple of a and 84?\nAnswer: 756","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 + 23. Which is the third smallest value? (a) v (b) 0.4 (c) 1\/7 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -b. Let q be (4\/1)\/(-4) - -6. Suppose 7*j - 4*j = 0. Let c(s) = j*s + s + q*s. Give n(c(p)).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51*l + 2*o - 22 = -53*l, 0 = -3*l - 5*o + 25. Calculate the greatest common divisor of 1485 and l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = z**3 + z**2 - 3*z - 1. Let h be p(-2). Let t be -2 + (0\/2 - h). Let b(q) = -7*q - 3. Is 6 a factor of b(t)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 96007, 96017, 96039, 96079, 96143?\nAnswer: 96237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -2*q**2 - 1492*q - 70966. Give f(-49).\nAnswer: -2660","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) be the first derivative of -5*i**8\/336 + i**5\/15 + 2*i**2 + 1. Let w(z) be the second derivative of c(z). Find the third derivative of w(r) wrt r.\nAnswer: -300*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/(-4))\/(6\/24).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, c: 1, a: 2}. What is prob of picking 2 a?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 447772, 1791053, 4029854, 7164175, 11194016, 16119377, 21940258?\n\"Answer: 447760*x**2 + x + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2023?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 432 and 22.\nAnswer: 4752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -24525125 + -5?\nAnswer: -24525134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000385038754 to six decimal places.\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 4*t - 304, -t + 295 = 5*w + 4*t. Calculate the smallest common multiple of w and (-148)\/(-11) - ((16 - -3) + 18060\/(-924)).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ht when two letters picked without replacement from tttthhtththhttttttt.\nAnswer: 35\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 426, 850, 1274, 1698, 2122?\nAnswer: 2546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(80) + 0 - sqrt(80)) + sqrt(80)) - 2*sqrt(80)*6 - -6*(2 + sqrt(10)\/sqrt(18)).\nAnswer: -54*sqrt(5) + 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -59, -447, -1497, -3539, -6903, -11919, -18917?\nAnswer: -28227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 1, -1, 7, 19 in descending order.\nAnswer: 19, 7, 1, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -173*o**2. Let f(d) = -26*d**2. Calculate t(f(j)).\nAnswer: -116948*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffffpfpffffpfdf. Give prob of sequence pd.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 4.1 (b) -135 (c) 7 (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/7 - 47955\/126. Let v = 381 + m. Find the common denominator of v and 11\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2 + x + 1. Let s be (-85)\/10 - 2\/(-4). Let f(g) = -3*g**2 - 2*g - 2. What is s*k(l) - 3*f(l)?\nAnswer: l**2 - 2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k - 40 = -4*a, 0 = -a - a + 4*k + 26. Suppose -5*h = f + 1, -4 = -4*h + a*f - f. Is h >= -2\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1014?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -2*s**3 - 152*s**2 - 572*s - 370. Calculate n(-72).\nAnswer: -658","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -5 + 7. Suppose 0 = -3*q + 2*q + n. Calculate the remainder when 4 is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 12043773 by 12.\nAnswer: 4014591\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**6\/1080 - 7*r**5\/90 + 49*r**4\/18 + 32*r**3\/3 - r + 11. Let j(t) be the third derivative of n(t). Factor j(a).\nAnswer: (a - 14)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + y = -0*y - 2, 3*y + 2 = 5*o. Let i be (-1 - -1)*o\/(-6). Suppose 67 = -i*v + v. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-5740)\/(-12))\/(-7)*(-8)\/40)\/(113\/(-339)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 8 = -4*t, 2*t = -c + 2 - 4. Suppose p + 2*x = 7*x + 47, -c*x = 3*p - 46. What is the smallest common multiple of p and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -10112.42 to the nearest one hundred.\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*r + b - 6, 6*r - 5*r + 11 = 5*b for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 3:12 AM?\nAnswer: 5:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-18)\/l)\/l*l*l**(7\/4)*l*l*l**(6\/29)*l**(-10\/7))**(-19) assuming l is positive.\nAnswer: l**(254125\/812)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -148.3 - 4.7. Let y = u - -157. Which is the second smallest value? (a) 0.2 (b) 1 (c) -0.12 (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 15? (a) 5 (b) 2\/11 (c) -0.9 (d) 13 (e) 3943\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -214*f + 1702. Determine c(8).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 886 (b) -0.03 (c) 2 (d) -2\/3 (e) 0.2 (f) 2.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -229762 divided by 114881.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/(-6))\/(4*(-17)\/(-714))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 1)*((0*n**2 + 3*n**2 - n**2)*(1 + 8 - 1) + (5*n - 2*n - 2*n)*(-2*n + n + 2*n)).\nAnswer: 17*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = c - 2*n - 1007, 3*c - 3*n - 1699 = 1325. List the prime factors of c.\nAnswer: 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 8) to base 13\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 225 - 677\/3. What is the third biggest value in -2, 3, k?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - y**2 + 3*y + 5. Let t(c) be the third derivative of -c**4\/6 - 7*c**3\/6 + 3*c**2. Calculate the remainder when t(-4) is divided by o(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5419113 = 81*c + 36871413. What is c rounded to the nearest ten thousand?\nAnswer: -390000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/2)\/((-3)\/(-48)). Let r = k + 32. Let o = r + -15. Is o prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in seven sixths of a year?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 73670?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -15*k**3\/2 + 36*k**2 - 45*k\/2 - 6 = 0?\nAnswer: -1\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*o + 2*o - o + (2 + 10 - 4)*(7 + 4*o - 7) to p + a*o and give a.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 404 is divided by 45?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 17 and 153?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 27214 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + q**3 + 1)*(1 - 12*q**2 - 2 + 11*q**2).\nAnswer: -q**5 - q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(2 + sqrt(208) - sqrt(208)) + (-1*sqrt(208) + -2 - sqrt(208)) + (sqrt(208) - 1*(sqrt(208) - sqrt(208)*3) - sqrt(208))*2 + 3)**2.\nAnswer: 208*sqrt(13) + 1001","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 230584 * -5\nAnswer: -1152920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51457?\nAnswer: 7, 7351","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 29, -2\/7, 527.198 in increasing order.\nAnswer: -2\/7, 29, 527.198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 12:33 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5181*i = -5137*i - 132. Suppose -3*u = -7*u + 20. Solve 0 = -y - 0*q - 4*q - 22, u*y - 5 = i*q for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.007 and -9?\nAnswer: 0.063","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1541186 by -2.\nAnswer: 770593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/33750 and 137\/36.\nAnswer: 67500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -574130, -1148029, -1721928, -2295827?\nAnswer: -2869726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 176 is divided by (8520\/(-88) + 2\/(-11))*-1.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 15*c - 10. Let a = 11 - 3. Suppose -h = 2*i - 15, 2*h - 1 = -i + a. What is the tens digit of o(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.01 + -0.99. Let z = -1055 - -1040. Is w greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 175*l - 184. Let q(f) = 351*f - 368. Let a(s) = -7*d(s) + 4*q(s). Find the first derivative of a(o) wrt o.\nAnswer: 179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 - d + 321. Suppose -w + 3*w = 3*w. Is n(w) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 6) to base 16.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.17 in 0.3, 24, -0.2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70323 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 109*d + 28. What is the units digit of x(5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/((-3)\/((-108)\/6))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 11*a**2 - 1. Let l be w(-1). Let k(x) = -201*x - 758. Let q be k(-5). What is the derivative of q*t**2 - 247*t**2 - 6 - l*t**4 wrt t?\nAnswer: -40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-210)\/48)\/(-5)*-15 + 11. Put -9, r, 2 in descending order.\nAnswer: 2, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -76 + 73. What are the prime factors of 718\/14 + 57\/21 + n?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 4) to base 10.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22 - -21) + 5 + 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -5*p**4 + 8085*p**3 - 876005*p**2 + 8156175*p - 19888250 = 0.\nAnswer: 5, 106, 1501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 29*s - 9. Let x be g(6). What is the greatest common divisor of x and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.64778 milligrams in tonnes?\nAnswer: 0.00000004964778","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3.117 times 1.165\nAnswer: 3.631305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = t**2 + 2314*t + 372341. Determine u(-174).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1.32, -2\/13, 1, -4, -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 678386?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: (6\/45*(-36)\/(-10))\/((-186)\/465)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -364 by 2817.\nAnswer: -364\/2817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -238*q - 17280. Determine p(-73).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -1 + -1*8\/2. Let n = -2 - m. Let v = -2.4 + 2.3. What is the closest to v in 0.2, n, 5\/3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -46.823 - -47.38349. Let x = 0.56 - o. What is x rounded to 4 dps?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*1*(0 + 4*(1 + sqrt(252))**2).\nAnswer: -5060 - 240*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + q - 140. Let d be i(-12). Let x(a) = 22*a + 164. Let n be x(d). Let h(o) = -o**3 - 11*o**2 + 11*o - 7. Determine h(n).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (16 - (-99 + 102 - (1 + 0 + -2))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 66.97566l to millilitres.\nAnswer: 66975.66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4.5 * 47\nAnswer: -211.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/17, -0.4, 0.034, 1, 18?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*y**2 + 70*y**3 - 3*y**2 - 71*y**3 as u*y**3 + h*y**2 + r*y + s and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 48942267?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -12 + 1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 30 = 3*j - 33, -4*j = -3*r + 189. What is the highest common factor of 45 and r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sieieessbsieieb. What is prob of picking 1 s and 2 b?\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7942 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3, -1, -666, -0.5, 0.4, -8\/7, 15?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 390982100 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.341 - 12.541. Let i = 12.2000085 + w. What is i rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4435, -4436, -4437?\nAnswer: -4438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 18*w + 148. Let q be o(-8). Suppose 10*p - 26 = q. Let v be (-36)\/(-2) - 1*2. Solve -p*j + 3*z = 8 + v, 5*j - 10 = -5*z for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 83457192 and 2980614.\nAnswer: 83457192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3*(-1)\/3*23\/((-1380)\/24).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 6.3 - 1.3. Let c = o + -4. Which is smaller: -2 or c?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1672, 1808, 1980, 2206, 2504?\nAnswer: 2892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*y + y - 24. Let w(u) = 2*u**2 + 2*u - 3. Let z(q) = -q**2 - 2*q + 2. Give y*w(v) - 5*z(v).\nAnswer: -3*v**2 + 2*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(396) - (0 + sqrt(396)))*5 + -5 + -2 + 1)**2.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 56862\/135 - (-2)\/(-10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6983881*k**3 + 10894722?\nAnswer: 20951643*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 198c + -465c8?\nAnswer: -44939","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -26741743 > -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 0 + 0)*(-28*y**2 - 6*y**3 + 28*y**2).\nAnswer: -6*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = n**3 + 10*n**2 + 13*n + 8. Let a be v(-9). Let h = a - 20. Let z = -23 - h. What is the greatest common divisor of 10 and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -26*k**2*o**3 + 23*k**2*o**2 + 22*k**2 - 28462*k - o**3 wrt k?\nAnswer: -52*o**3 + 46*o**2 + 44","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.13 * 1.303.\nAnswer: -0.16939","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 1 q when two letters picked without replacement from {w: 1, q: 10, f: 7, t: 2}.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**3 - 4*n**2 + 2*n - 1. What is the smallest common multiple of (6\/(-4))\/(2*21\/(-56)) and r(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 679 divided by -292.\nAnswer: -679\/292","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-3\/13))**6*((s\/(s*s\/(s**2\/s))*s)\/s)**(12\/13) assuming s is positive.\nAnswer: s**(-18\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -2*y - 2*y, 0 = c - 5*y for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > -1\/488?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 46*c - 48*c + 4. Solve -w - 2*u + c = -4, 9 = 4*w + 5*u for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3525835, -14103371, -31732589, -56413483, -88146047, -126930275?\nAnswer: -172766161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1.493 from 1.\nAnswer: -0.493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 91*v - 2*v**3 - 30*v + 17*v**2 - 48*v.\nAnswer: -2*v**3 + 17*v**2 + 13*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 5*s - 36, -4*h + 110 = -s + 4*s. Calculate the remainder when 48 is divided by h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 610 minutes before 7:34 PM?\nAnswer: 9:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 242333599 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/3, 2, -52, -0.5 in increasing order.\nAnswer: -52, -0.5, 2\/3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49779411.\nAnswer: 3, 11, 19, 79393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19076.\nAnswer: 2, 19, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.0106 less than or equal to -54?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0131688935 rounded to 6 decimal places?\nAnswer: -0.013169","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -13*m - 128. Let p(y) = y - 45. Let o(x) = -g(x) + 3*p(x). Calculate o(2).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-z**2 - z**2 + 0*z**2)*(-7*z**2 + 44*z**2 + z**2) in the form g*z**2 + a*z**3 + v*z**4 + j + f*z and give v.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 2779332?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 259 + -91. Suppose 70 = 2*r - 2*g, x = r + 4*r + 2*g. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine j so that 4*j**5 + 552*j**4 - 28*j**3 - 3888*j**2 - 3312*j = 0.\nAnswer: -138, -2, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 4, h: 3}. Give prob of picking 2 a.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5520 or 5519?\nAnswer: 5520","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13036879.\nAnswer: 2969, 4391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.3 (b) 255 (c) 4 (d) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1083310 - 940*x - 605*x - 1083298 to the form m + r*x and give m.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32865 and 2835?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2 - 15*p + 53. Let y be v(10). Solve -o = y*o - o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-604)\/(-7)*3738\/1068 is divided by 159.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7256143616 + -44204426782251\/6092. Let t = p + -3\/1523. Calculate the common denominator of ((-114)\/(-4) - 3) + -2 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + l**2 + 2*l**2)*(141 - 20*l**3 - 4*l - 141) + l**5 + l**5 - 3*l**5.\nAnswer: 39*l**5 + 8*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 37*h**3 + 27*h**2 - 26*h**2 + 112*h**3 to the form s*h + r + l*h**3 + a*h**2 and give l.\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-12)\/10)\/((-3)\/((-45)\/(-6))). Suppose -5*j = 2*t + t - 1, -3 = -t - w*j. Which is the closest to 0? (a) -0.3 (b) -4\/3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 76, 36, -4, -44, -84?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -1734371 (base 8) to base 15\nAnswer: -9ee55","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + -2 + (-1*sqrt(1377))**2 + -4 + 5*((sqrt(136)\/(1*sqrt(8)))**2 + 0)*2.\nAnswer: 1543","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(2\/9)\/a*a)\/(a\/((a\/(((a**2\/a)\/a)\/a)*a*a)\/a)) assuming a is positive.\nAnswer: a**(29\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 5.4, 3\/994, -2\/17?\nAnswer: 5.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 6*h + h = -40, 3*m = -2*h + 25. Suppose 25 = -0*s + m*s. Sort s, 1, 3.\nAnswer: 1, 3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 16751 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c - 3*s = -0*c - 198, 0 = c - s - 46. Let n(v) = 14*v - 96. Let p be n(12). Calculate the greatest common factor of p and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 AM and 8:18 PM?\nAnswer: 564","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -1 + 4 - (1 + -2). Let b be w\/((-3)\/(4 + -1)). Put -2, 0.4, b in decreasing order.\nAnswer: 0.4, -2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5347151 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t + 2*g - 13 = 0, 404*t - 127 = 431*t + 2*g for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -194232, -21 in ascending order.\nAnswer: -194232, -21, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 8749994*c + 31. Let s be o(5). Suppose -s = 5*r - x, -r - r = 4*x + 17499996. What is r rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g**2 + 851382*g + 851380 = 0. What is g?\nAnswer: -425690, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a kilogram in grams?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 11101011100100001 (base 2) to base 11\nAnswer: 82685","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 43*n - 282*n - 123*n + 13*n to the form u*n + y and give u.\nAnswer: -349","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2*(((-1)\/(-1))\/(-1))\/(23\/46*-2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -3 - 2432?\nAnswer: -2435","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 315*x**2. Let o(u) = 573*u**2. Give o(n(b)).\nAnswer: 56855925*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of s**4 + 6*s**4 - 2 + 6 wrt s?\nAnswer: 28*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24.2+-387250.43255\nAnswer: -387274.63255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**4*z**3 - 754729*p**3*z**3 + 15949849*p**2*z**3 wrt p?\nAnswer: -48*p*z**3 - 4528374*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -0.2, -0.07, -0.076?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 24170 - 4797. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -9, 2, -677618 in descending order.\nAnswer: 2, -9, -677618","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence afa when three letters picked without replacement from {a: 9, i: 1, f: 4}.\nAnswer: 12\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 23601*l - 3183. Let z be t(23). What is z rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 4*p**2 + p. Let a be n(1). Let h = -3.7 - -0.7. What is the biggest value in h, 3, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 230b (base 14) to base 9.\nAnswer: 8313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1640 and 1349392.\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -13 + 3*2\/3. Let i be (9 + 1)\/(j\/(-792)). What is the tens digit of i\/21 - 4\/14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 45221 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1892473311 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 519*l - 523*l + 44 = 0. Put l, -5, 0, -1, 1 in decreasing order.\nAnswer: l, 1, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + 86. Let j(w) = w**3 + 4*w**2 - 7*w - 12. Let g be j(-5). Which is the third biggest value? (a) g (b) i (c) -3\/4 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p - 8*s + 4*s + 14 = 0, -3*p + 5*s = -10 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 4*j + 3193 = 14909, 2*l = -j + 7829. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -18.177 + 22.177. What is the closest to m in -4, -0.5, 0.068, -1?\nAnswer: 0.068","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*sqrt(95)*-1)\/sqrt(5))**2 + sqrt(475)*-1 + -1.\nAnswer: -5*sqrt(19) + 303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*b**2 + 6*b**3 - 4*b**3 + 3*b - 6 - 4*b - b**3 to l + j*b**3 + d*b**2 + h*b and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the second derivative of r**6\/180 - r**4\/24 + 5*r**3\/6 + 5*r. Let b(j) be the second derivative of w(j). Differentiate b(t) wrt t.\nAnswer: 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 719 + 713 + 8744*a + 723 - 2155 to the form c*a + r and give c.\nAnswer: 8744","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) be the second derivative of 16\/7*s**3 + 10*s + 0 + 21\/20*s**5 - 11\/4*s**4 - 6\/7*s**2. Factor i(l).\nAnswer: 3*(l - 1)*(7*l - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 i when three letters picked without replacement from {r: 2, j: 1, x: 5, e: 2, i: 1, w: 4}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 28450 and 150?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = u**2 + 2*u - 13. Let q be k(-5). Suppose 0 = q*a - 8*a + 474. Let d = 113 - a. What is the tens digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 a and 1 v when two letters picked without replacement from {s: 4, p: 1, a: 2, v: 4, i: 3, j: 3}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/v**1*v*v)**(5\/9))**(-45) assuming v is positive.\nAnswer: v**(-75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 8, x: 3, c: 6}. What is prob of sequence xxd?\nAnswer: 1\/85","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -35*o**2 + 465*o - 142. Give d(13).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -56*y + 4. Let j(q) = 11*q - 1. Let x = -27 - -43. Let s(d) = x*j(d) + 3*o(d). Let w(z) = 7*z - 3. Give -5*s(m) + 6*w(m).\nAnswer: 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -279*f**3 + 59*f**2 + 3*f?\nAnswer: -1674","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2099 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -4011*f**3 + 10*f**2 - 12*f + 17. Let z be w(-11). What is z rounded to the nearest one hundred thousand?\nAnswer: 5300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qqllqq. Give prob of sequence ll.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 12*l**2 + 12*l - 10. Let z be u(-13). Suppose z*v - 60 = -2*m, -3*m + 2*m + 100 = 5*v. What are the prime factors of v?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.977 - -0.683. Let d = 4.86 - s. Sort -5\/22, d, 0 in decreasing order.\nAnswer: d, 0, -5\/22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 306 - -947?\nAnswer: 1253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 - (-98 + (-27 - -7 - -8))?\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 2*t - 16 = -2*r, 4*r - 3*t - 26 = 0. Calculate the remainder when 406 is divided by r.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -4, -278, -10, -37, 5, 2 in ascending order.\nAnswer: -278, -37, -10, -8, -4, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -12*s**2 - 10*s - 4. Let b(a) = 11*a**2 + 23*a + 5. Let v(c) = 2*b(c) + 3*n(c). Let v(h) = 0. What is h?\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4134?\nAnswer: 2, 3, 13, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -42.5 + 42.5. What is the second biggest value in 67, 5, t?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14\/9 in -2\/3, 1\/5, 1\/111, -4, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 837980\/9 or 93108?\nAnswer: 837980\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -60*c - 99. Suppose -4*m + i = -64, 2 = -m - 4*i + 1. Let v(f) = 3*f - 1. Let a(w) = m*v(w) - r(w). What is the derivative of a(o) wrt o?\nAnswer: 105","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -618, 3, -402 in ascending order.\nAnswer: -618, -402, 0.4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2 (base 12) to base 6.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.05 + -0.01. Let h = w - 4.94. Which is the smallest value? (a) 0 (b) -0.4 (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -b**2 - 2*b + 15. Calculate u(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -5*sqrt(363) + 4 + -2 + sqrt(363) - (6*sqrt(363) + -5 - 3*(sqrt(363) + -5)))**2.\nAnswer: 924*sqrt(3) + 17823","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/4 (b) -3\/5 (c) -35 (d) -0.12 (e) 1.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.20339191 to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 5948952529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 10231 (base 5) to base 10\nAnswer: 691","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -55*r**5\/2 - 13999*r**4 - 29467*r**3\/2 - 762*r**2 = 0?\nAnswer: -508, -1, -3\/55, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-15)*m**(-11) assuming m is positive.\nAnswer: m**(-26)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**2 - 5*r + 7. Let s = -14 + 21. Let b be i(s). Is (-422)\/3*b\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1141859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -188*g - 12 = -184*g. Let w(f) = -2*f + 1. Calculate w(g).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = -t - 12, t = 3*q - 9. Let u(b) = b. Determine u(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 175568.871093 + -175569. Let v = 194 - 194.129. Let g = p - v. What is g rounded to five dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 744330316 to the nearest integer?\nAnswer: 906","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(99)\/(sqrt(9) + (sqrt(18)\/sqrt(2) - sqrt(9))) - (sqrt(110)*2 - sqrt(110) - sqrt(110))\/sqrt(10))*-4*-6.\nAnswer: 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of w**5\/40 + 237*w**4\/16 - 4*w**2 + 1784. Factor z(j).\nAnswer: 3*j*(j + 237)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3879 and 18.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of 1619*d**6\/30 + 2249*d**3\/6 - 133*d + 3. What is the second derivative of p(f) wrt f?\nAnswer: 19428*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -4*y + 4*d, -d + 1 - 2 = 0. Suppose 0 = -5*m + 19 - 4, y*s + 5*m = 135. What is the units digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -4*h - 1. Let m be (-1 + h)\/((-12)\/20). Suppose 3*g + 204 = m*l - g, 196 = 4*l + 5*g. Calculate the highest common divisor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4543 and 31388.\nAnswer: 413","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1 and -73\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 125814.05400033 - 125815.254. Let j = 1.2 + k. What is j rounded to 7 dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 16*c - 2. Suppose -8 = -w - w. What are the prime factors of y(w)?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is j in j**4\/2 + 37*j**3\/2 - 955*j**2\/2 - 2017*j\/2 - 513 = 0?\nAnswer: -54, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 491898\/4785 + (-1)\/(-10)*2 - -19.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1410906042 by -2.\nAnswer: 705453021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 387 + -278. List the prime factors of o.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 228 by 19.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1223009?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/17, -3.8, 1\/233, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3802034*c**2 + 2239411*c?\nAnswer: 7604068","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1559 = 8*u - 785. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5386 to the nearest one hundred.\nAnswer: -5400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 90\/28*5\/((-4800)\/(-168)).\nAnswer: 9\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) be the second derivative of -3*n**5\/2 + 41*n**4\/6 + 16*n**3\/3 - 12*n**2 - 6*n. Factor f(p).\nAnswer: -2*(p - 3)*(3*p + 2)*(5*p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (13 + 4 - 6 + (-8 - 3 + 4)*(2 + 1 - 1))*(-a - 2*a + 0*a).\nAnswer: 9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -18986940 divided by -252?\nAnswer: 75345","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29936*w - 119 = -29929*w for w.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 34606328 to the power of 1\/2, to the nearest integer?\nAnswer: 5883","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -4*o - 10. Let r(a) = a**2 - 7*a - 21. Let i(f) = 2*r(f) - 5*x(f). Let l be i(-3). Suppose 189 = l*v + 69. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 r when two letters picked without replacement from arahrahhrchrhrahr?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*u + 9*u - 35. Suppose n + 4*n - t = -5, -u*t - 33 = 4*n. Let x be 1*-1 - (135\/(-35) - n). Are 4 and x equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17*g + 48*g - 18*g.\nAnswer: 47*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-98*d**3 + 61*d**3 - 98*d**3)*(d**2 + 5 - 5) + (2*d**2 - d**5 - 2*d**2)*(1 + 3 - 1) - 3*d**4 + d**5 + 3*d**4.\nAnswer: -137*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*h - 77*h = 83 - 27 for h.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-5)\/3*(-954)\/265. Suppose -475 = i*b - 439. Are b and -7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(153)*-1 - sqrt(153))*2)\/((sqrt(90) + 1*(sqrt(90)*1 - sqrt(90)))\/sqrt(10)).\nAnswer: -12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 357053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 2 = -2*u + 6*u, 5*u - 10 = -h. Suppose -5*s - 5*z + 1655 = 0, 2 + 7 = -u*z. What are the prime factors of s?\nAnswer: 2, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the first derivative of 7*b**5\/20 + 7*b**2\/2 + 12*b - 11. Let i(v) be the first derivative of l(v). What is the derivative of i(y) wrt y?\nAnswer: 21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -w**3 - 184*w**2 + 1764*w + 5226. Determine o(-193).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*f - 89*f + 5 = -3*d, 3*d + 1 = 5*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -73660 (base 8) to base 12\nAnswer: -15894","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmwjm. Give prob of sequence wjm.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from toxtqxw. What is prob of picking 2 x?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*n - 45*n + 4290 = 0. Calculate the remainder when n is divided by 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 1133234 (base 9) to base 2.\nAnswer: 10010101100011001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -82 - -151. Let j = -25 + u. Does 22 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = 2*m**3 + 5*m**2 + 5*m + 3. Let j(q) = 9*q**3 + 21*q**2 + 21*q + 12. Let x(b) = -5*j(b) + 21*u(b). Let a(p) = p**3 + p - 1. Calculate a(y) + x(y).\nAnswer: -2*y**3 + y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -25*n**2. Let k(g) = -479*g. Determine k(b(t)).\nAnswer: 11975*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1099.\nAnswer: 7, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*z - 107 + 22. What are the prime factors of z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41010 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: Convert 1.490765 minutes to nanoseconds.\nAnswer: 89445900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -2.5. Let b = -303 + 307. Let u = -49\/4 + 12. What is the nearest to u in k, -0.2, b?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 412857, 825688, 1238521, 1651356, 2064193, 2477032?\nAnswer: 2889873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 - (-996)\/16 - 17\/68. Solve -l*t = -66*t - 8 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 461941 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 244 divide 6820288?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = -21*s + 1. Let y(c) = c**2 + 2*c - 30. Let z be y(-7). Let p be 60 - 8 - (-5)\/(z\/2). Let r = -53 + p. Give o(r).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -117 + -1 - (-578 - -261 - -275)\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 8, r: 3}. Give prob of picking 2 f and 2 r.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o = b - 7, 4*o - 2 = -5*b + 15 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-81)\/54*414\/(-81).\nAnswer: 23\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/9, 16, -321, -1\/4?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) be the third derivative of -r**5\/360 - 35*r**4\/72 - 124*r**3\/9 + 871*r**2. Factor v(c).\nAnswer: -(c + 8)*(c + 62)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gggvgwgvpwpwgpvggggv. What is prob of picking 1 g and 1 v?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184 = -3*j + 5*v, j - 2*j = 5*v - 48. Suppose 4*p = -3*x + 16, 3*p = 4*x + p - j. Calculate the least common multiple of x and 14.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3.50988l?\nAnswer: 3509.88","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1859*h + 348 = 1863*h. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1 - 2*j**2 + 5*j - 3*j**2 + 12*j**4 + 9*j**2 wrt j?\nAnswer: 144*j**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.5, -2\/25, 1334714, -0.1 in descending order.\nAnswer: 1334714, 0.5, -2\/25, -0.1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 98 divide 77714?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*a + 5*z = 134 - 148, -2 = z for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 129396.\nAnswer: 2, 3, 41, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -4, -7362, -0.2.\nAnswer: -7362, -4, -0.2, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**2 - 6*g - 8. What is t(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*h + 3*h + 1694. Suppose 0 = d - 3*d + 44. Suppose 2*g = g + d. Calculate the greatest common factor of g and h.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 863 is divided by 55?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-12)\/(-9)*3\/2. Let x(z) = 9*z**3 + z + 4 - 5*z**2 - 8*z**3 + 2*z**c. Is 11 a factor of x(4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 3*s**3 - 4*s**2 - 3 + 3 + 4*s + 0*s**2. Let i(l) = 5*l**3 - 7*l**2 + 7*l. Let w = -76 - -83. Give w*h(r) - 4*i(r).\nAnswer: r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -380, -678, -978, -1280, -1584, -1890?\nAnswer: -2198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j**2 + 9*j + 11. Let g be x(-8). Solve 4 - g = m for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.2, 0.9, -1\/62?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 114241427 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x - x + 2*x)*(31 + 20*x - 31) + (0*x + 7*x - 3*x)*(2*x - 4*x + 0*x).\nAnswer: 72*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5\/2, -0.006 in descending order.\nAnswer: -0.006, -5\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-220)\/24 - (-6)\/(37 - 1). Suppose 3*d - 6 = 4*q, -4*d - 4*q + 21 = -5*q. Let h = l + d. Let m(j) = -j - 7. Give m(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -102*c + 5076. Calculate o(59).\nAnswer: -942","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 64*s - 33*s - 229*s**2 + 751*s**2 - 31*s.\nAnswer: 522*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -10 (base 2) to base 7\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 40 + 15 = 0. Let z = v + -7. Suppose -117 - 63 = -z*b. Calculate the remainder when 88 is divided by b.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -545916 take away -1.4?\nAnswer: -545914.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 11632 (b) 2 (c) -0.08 (d) -1\/5 (e) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 1 - 2)*(-5*f + 2 + 3*f + 3*f).\nAnswer: -4*f - 8","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -166 divided by 191548\nAnswer: -83\/95774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/(-60))\/9*0\/(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(432) + 2*sqrt(432)))**2 + 3.\nAnswer: 15555","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 4*v + 529309 - 529329 = 0, 61*v - 50 = 11*v for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 PM and 7:24 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0*(5 - 6) - -4. Factor -32*l**2 + 185*l - 185*l - s*l**3.\nAnswer: -4*l**2*(l + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 48*o - o**2 - 27*o + 17 - 16*o. Is p(4) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -143393 divided by 4\nAnswer: -143393\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 65\/2664 and 53\/7881.\nAnswer: 189144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -262 + 4*u**2 + 513 - 43*u + 533 + 155*u = 0.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0339 times -1087\nAnswer: 36.8493","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20527048?\nAnswer: 2, 2565881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-18 - (-34 + 18)) + 4 + 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round 665243520 to the nearest 1000000.\nAnswer: 665000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = -2, 5*j = -3*o + 10 + 3. Suppose -3*p + 6 = 3*l, 3*l + o*p - 11 = 2*p. Let q(a) = -56*a + 29. What is the hundreds digit of q(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s = -2*w - 76, -9403*s + 494 = -w - 9372*s for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2 (b) -7 (c) 112 (d) 2 (e) -0.1 (f) 4\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1100000001 - 101110000?\nAnswer: -10001110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -3.0097 and 0.2.\nAnswer: -0.60194","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 0.1, 4, -1\/2460 in descending order.\nAnswer: 4, 0.1, -1\/2460, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 7692 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v. Let j(q) = 2*q**2 - 21*q - 73. What is j(t(g))?\nAnswer: 2*g**2 + 21*g - 73","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*w**4 + 0*w**4 - 4*w**4 - 3*w**4 + 3*w**4 - 2*w**4 + (-2*w**3 + 2*w**3 + w**3)*(8*w - w - w) - 2*w + 2*w - 2*w**4 + 2*w**2 - 2*w**2 - w**4.\nAnswer: -6*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyyyyvvvvyyyvy. What is prob of sequence yvvv?\nAnswer: 35\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 265145 divided by -1?\nAnswer: -265145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 14*i - 29*i - 49*i + 14*i.\nAnswer: -50*i - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -151, 169.9, 2\/5, -2\/15 in decreasing order.\nAnswer: 169.9, 2\/5, -2\/15, -2, -151","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from klvffllffkffvvfvll. What is prob of picking 1 v and 2 k?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5431332214 - -14?\nAnswer: 5431332232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 - 782788.\nAnswer: -782788.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1385070557 + 1627*z + 1385070559 - 201*z.\nAnswer: 1426*z + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.7 + -58.7. Let l = -94 - m. Are 2\/3 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 66 - (-3 + -1)\/(-2) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 + -5 + 10 - (5 + -1 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1ba - -11?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (4*o - 4*o + 2*o)*(-1188*o**3 - 958*o**3 + 1757*o**3 - 1112*o**3) in the form k + j*o + n*o**2 + f*o**4 + y*o**3 and give f.\nAnswer: -3002","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (6\/((-42)\/(-7)))\/(-10*(-2)\/(-200))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*3*sqrt(216))\/sqrt(9))\/((-4*(sqrt(96) - -2*sqrt(96)) - sqrt(96))\/sqrt(8)).\nAnswer: 15*sqrt(2)\/13","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 296 is divided by 75?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 18086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -8, -5, 1.6 in decreasing order.\nAnswer: 1.6, 1, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-nine fifths of a litre?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2621.\nAnswer: 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1, -4, 5, -1531?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = 9 + 3*g - 4*g - g. Let m(k) = k - 5. Let q = -1 + 0. Let c be (-1)\/((3*q)\/(-15)). Determine c*m(d) - 3*j(d).\nAnswer: d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 2, j: 1, g: 1, c: 7, h: 4, y: 2}. Give prob of picking 1 y and 1 g.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*n*s**3 + 1608*n*s**2 - 81*n*s + 3*s**3 + 7*s**2 + 6*s - 15 wrt s.\nAnswer: 30*n*s + 3216*n + 18*s + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*j - 8 = -27*j. Is j even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 4 = 2*z, 138*z - 4*c + 89 = 125*z for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 + 715*m**3 - 713*m**3 - 3.\nAnswer: 2*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -247 or -241?\nAnswer: -241","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30145?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -13 - -2 - -10 - 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 1\/16 of a day?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 331989 is divided by 47.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:04 AM and 4:17 PM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 8\/(-2) + 22 + (-6 - 3). Suppose -14 - 22 = -m*b. Put -1, 8, 5, b in decreasing order.\nAnswer: 8, 5, b, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1266870432?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9339d (base 15) to base 3.\nAnswer: 212201000111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14715808 a multiple of 1594?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/217 and 2\/161?\nAnswer: 4991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 v and 1 o when three letters picked without replacement from vvwovmwvvvwwwwww?\nAnswer: 3\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3995863 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -29 in 2\/3, 0.2, -10332?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -51, -7, -3, -79, -1, -218 in descending order.\nAnswer: -1, -3, -7, -51, -79, -218","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -949\/2910?\nAnswer: -949\/2910","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w*w\/(w**8*w))\/w)\/(w\/(w*w\/w**(-5))) assuming w is positive.\nAnswer: w**(-2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 344324 (base 5) in base 2?\nAnswer: 11000010110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 + m**2 - 3*m - 4. Let p be q(-3). Let w = 32 - p. Suppose 170 = 9*g + 125. Calculate the highest common divisor of g and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(-2\/11)*t\/(t**5\/t)*t**1\/(t**2*t))\/((t*t**(-1))**(-35)\/((t**(2\/17)*t)\/(t**(-6)\/t))) assuming t is positive.\nAnswer: t**(549\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the second derivative of 0*m**5 + 0 - 3\/56*m**8 + 0*m**2 + 0*m**6 + 0*m**7 - 25\/12*m**4 - 23*m + 0*m**3. Find the third derivative of d(h) wrt h.\nAnswer: -360*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(190) + 2*sqrt(190))\/sqrt(10)*-5)**2 + ((sqrt(1539) + 0)*2 + (sqrt(1539) - sqrt(1539)*-1)*4)**2.\nAnswer: 145350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**2. Suppose -z - 26 = 16. Let l = -2 - z. Let g(u) = 38*u - 76*u + l*u. Calculate y(g(b)).\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1007?\nAnswer: 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -191*m + 4222. Calculate n(21).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 258, 0.1, -2\/3, 1\/3 in descending order.\nAnswer: 258, 1\/3, 0.1, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 1284876?\nAnswer: -1284872","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -g + 7. Let n be h(8). Let l(w) = -78*w + 2. Is l(n) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 962472.5 grams?\nAnswer: 962472500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 433248 is divided by 216615?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 3*h**4\/5 - 3*h**3 - 72*h**2\/5 - 12*h\/5 + 96\/5 = 0.\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00066103478 to 5 dps.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*m - 46*m - 120 = 0 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -35 - -36. Let g = -0.36 - -0.06. Let l = g - 0. Sort z, -0.4, l.\nAnswer: -0.4, l, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6386 and 1116?\nAnswer: 114948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -39395.06 to the nearest ten.\nAnswer: -39400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 57.27 rounded to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j**2 + j**2 - 3*j**2)*(3239 + 147*j**2 - 3239).\nAnswer: 147*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 918 to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 586 is divided by 585.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 33545 = j, 21*j - 16*j = 5*t + 167815. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 3*k - 2. Let p(d) = 80*d - 55. Suppose 4*s = r + 88, -5*s + 97 = -5*r + 2. Suppose -24*j + 71 = s. What is j*p(x) - 55*c(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a + 5*y - 83, 2*a = 6*y - 2*y + 22. What is the remainder when 31 is divided by a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*v - 22. Let s be v\/9 - (-2)\/6. Which is greater: 2\/21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1*(-1*sqrt(12) + sqrt(12) + (sqrt(75) - (sqrt(75) + -1))**2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.2 times -1528?\nAnswer: 3361.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4\/5, 1.1, 2, 0.1, -3, -0.842, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 127\/22884 and -13\/795?\nAnswer: 6064260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (0 - -2)\/(3\/(3\/1)). Suppose 144 = m*r - 2*a, -a = -4*r + 271 + 32. What is the remainder when r is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 430*v**2 + 61265*v + 235. Let z(p) = -11*p**2 - 1571*p - 6. Let h(t) = 6*k(t) + 235*z(t). Factor h(q).\nAnswer: -5*q*(q + 319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (72\/(-20))\/((12\/410)\/(-6))?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/62682 and -53\/9820180?\nAnswer: 29460540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to -12\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29 divided by 2455\nAnswer: -29\/2455","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*m**4 - 3855*m**3 + 5*m**2 + 3855*m.\nAnswer: -5*m*(m - 1)*(m + 1)*(m + 771)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 times -1.05\nAnswer: 0.315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -44.4 - 5.6. Let l = r - -50.099. Round l to one dp.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56612*a + 28287*a - 2 + 28338*a + 27.\nAnswer: 13*a + 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of v**5\/5 - 23*v**4\/16 + 13*v**3\/6 + v**2 - 67. Factor f(w).\nAnswer: w*(w - 4)*(w - 2)*(4*w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2 - 1 + (1 + 4 - 4)*(5 - 5 - 1) + 6 - 4 + 0 + 3 + 0 + 1)*(64*q - 27*q - 39*q + 2500) in the form j*q + x and give j.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -1083056 divided by 17\nAnswer: -1083056\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*q = 2*d - 5, -8 = -2*q. Let z be 5 + (-3 - (-2)\/2). Suppose z*h - h = 58. Solve -h = 5*c + 2*r - 4*r, 0 = 5*c - d*r + 31 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 831.\nAnswer: -5\/831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, a: 2, y: 4, r: 4}. What is prob of sequence aarb?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 853.\nAnswer: 853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1869 by 7.\nAnswer: -267","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -35, 28, 5, -1, 4.\nAnswer: -35, -1, 4, 5, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 294287?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(180)*1 - sqrt(180)) + 5 + 1)*-3.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(2736)*2)*2 + -1)**2 + sqrt(228)\/sqrt(48) + (-1*sqrt(190))\/sqrt(10) + 5 + 3.\nAnswer: -577*sqrt(19)\/2 + 43793","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/56 - (-6)\/14?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4*h. Let v(n) = -131*n - 1. Give v(r(t)).\nAnswer: -524*t - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -81 + -368. Let y = -449.001716 - i. Round y to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p = -4*f + 17, -4*f - 4*p = -5*f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w - 258 = -4*w + 2*a, 2*a = -2*w + 172. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -16202 - -16202.000010449. What is x rounded to six decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = 1. Suppose -21*d = 1 + 26 - 6. Let a(v) = 3*v**2 + 1 + 3*v - 3*v. Give d*a(q) + t(q).\nAnswer: -3*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -51668, -101360, -151052, -200744, -250436?\n\"Answer: -49692*i - 1976","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 15, 6, -3, -12, -21, -30?\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1000149\/5798 + -3\/2899. Let v = b + 173. Suppose 0 = -6*y + y. Is v greater than or equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let q(i) be the first derivative of i**4\/4 - i**3\/3 - 3*i**2\/2 + i - 53. What is q(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40.7753 hours to nanoseconds.\nAnswer: 146791080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.07 and 333?\nAnswer: -23.31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.09, -2\/13, 2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes after 3:04 PM?\nAnswer: 8:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1161 + -1164. Which is the third biggest value? (a) n (b) 1\/2 (c) -2\/217 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z\/(z\/(z*z\/(z*z*z\/(z**2\/z))*z))*z\/(z\/((z\/(z*z**5*z*z))\/z)))**(43\/2) assuming z is positive.\nAnswer: z**(-129)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*f**2 + 7*f**2 + 8*f**2)*(2*f + 4*f - 4*f + (-f - f + f)*(-2 + 1 + 2)).\nAnswer: 13*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -4*g + 2*g. Let s(t) = -t**3 + 3*t**2 + 2*t. Is 3 a factor of s(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 65293204 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h. Let z = 3 + -5. Let u be w(z). Let r = -389 - -392. Solve u*s - 15 = -r*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*a = 9 + 11, 51 = 4*u + 3*a. Suppose 5*m - 76 = u. Let i(d) = 2*d - m*d**2 + 14*d**2 - 2*d. Let w(j) = -2*j. Give i(w(x)).\nAnswer: -12*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.5 (b) 2 (c) -20 (d) -0.06\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -71*z + 1156276 + 838128 - 737491. Is z a multiple of 281?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-92)\/(-10) + (-7)\/35. Let o = 36 - g. Is o a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (60\/(-120))\/((-56)\/(-64))?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (41 - 75 + 221)*(4*p**2 - 3*p**2 + 0*p**2)*(13 - 6 + 0).\nAnswer: 1309*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 - -8. Suppose -i*m - 2*m = 5*f - 10, 2*f - 7 = m. Solve 1 = -s - f for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*v = 34*v - 68. What is the first derivative of -18 - 13 - 21*t - v*t - 20 wrt t?\nAnswer: -55","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 28647 divided by -9?\nAnswer: -3183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -103*u - 28*u + 2278 = 3*u. Solve -u*p = -4 + 21 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3627 + 5596. Are q and 1969 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -469897*n + 581851.\nAnswer: -469897","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -3033a (base 13) to base 8\nAnswer: -250337","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 14462541461 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -27 + 55\/2. Let l = -1541811\/2 + 770907. Factor -l*d + 0 + z*d**2.\nAnswer: d*(d - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1713.\nAnswer: 3, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11110010000 (base 2) to base 15.\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 10, c: 2}?\nAnswer: 15\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*j + 3*d = 11, -22*d = -2*j - 21*d - 5 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4384*q + 2704*q + 1679*q.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3.36 + -0.64. Which is greater: -1 or a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8 + -7. Let j be ((-15)\/(-10))\/((-30)\/(-16)). Is j >= v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - -1. Let k(i) = 11*i**2 + 2*i**3 + 12*i + 2 - 3*i**f - 1. Let w be k(12). Let d(s) = 9*s**2. Determine d(w).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -12166 - -12205. Calculate the greatest common divisor of 159 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 3, -5, -1005, -55, -4, -1.\nAnswer: -1005, -55, -11, -5, -4, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2784?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**2 - 3*d - 4. Let v = -5 - -9. Suppose -s = v*s. Suppose 5*t + 6*b - 5*b - 19 = s, -4*b + 25 = 3*t. What is g(t)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -5. Let n be ((-14)\/4)\/((-1)\/2). Suppose 4*d = z + n, 0 = -d + 3*z + 4 + 6. Solve -d = -y - j for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 377019.\nAnswer: 3, 163, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - 3*v + 22021, -3*g - 4*v + 7341 + 5876 = 0. Is 35 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 9 - 16. Let q(o) = -o - 4. What is q(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s + 16 + 9 = 0. Let b(u) = 2*u - 6. Let x(q) = q - 5. Calculate s*b(m) + 6*x(m).\nAnswer: -4*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 5515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1725.7 - 1726. What is the nearest to 2\/9 in 173, c, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 66217 and 123797.\nAnswer: 2879","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 5 (b) -9\/4 (c) 3.8 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 88.391ml to litres.\nAnswer: 0.088391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -234*x - 2*x**2 + 76*x + 74*x + 84*x.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2094660 a multiple of 108?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 18461284 < 18461283?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -5, 2, 0.3, 37918, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -99, -106, -133, -192, -295, -454?\n\"Answer: -2*i**3 + 2*i**2 + i - 100","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 695428*f**2 - 695432*f**2 + 0.\nAnswer: -4*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.2 in 0.2, 12, 8, -8\/11, 0.5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -2*-526*2\/8 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2*b**4 + 1)*(-b + b - 2*b - 23 + 23 + 3*b + 0 + 0 - b + (1 - 1 - 1)*(-3 + 3 + b)).\nAnswer: -2*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -10 + (-11 - 7 - -41).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**3\/2 - 397*t**2\/2 + 19862*t - 38934.\nAnswer: (t - 206)*(t - 189)*(t - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 49689655?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Product of 7 and -126.\nAnswer: -882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6249 + -62399\/10. Let n = 5999\/187 + -465\/17. Find the common denominator of l and n.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 368354 divided by 18\nAnswer: 184177\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l + 3*l = -96. Let h = 2251 + -2265. Let c = h + l. What is the greatest common divisor of 27 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5903473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 2. Let v be (-118)\/(-4) - f\/(-4). Let m = v - 1. Does 14 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-18)\/15)\/((-4)\/470))\/((6534\/(-132))\/(-33))?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 34 divided by -193904.\nAnswer: -17\/96952","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13 + -27 - (87 - 69).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 162070, 648777, 1459956, 2595607, 4055730?\nAnswer: 5840325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*d**2 - 13*d**2 - 2*d**2 + 5*d**2 to the form z*d + q*d**2 + n and give q.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 6) to base 11.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 825, 823, 821, 819, 817, 815?\nAnswer: 813","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 636\/742*49\/3\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4.5 * 3.\nAnswer: 13.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the first derivative of -6*b + 5 - 3\/2*b**2 + 2*b**3 + 3\/4*b**4. Solve q(m) = 0 for m.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-181)\/13*7\/(-21). Let h = g + -4\/13. Is 3 not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 1, i: 1, u: 4, f: 1, a: 5, j: 7}. What is prob of picking 1 f and 1 j?\nAnswer: 7\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(2\/23)*o**1\/o)\/(o**(2\/5))**(11\/4))\/((o*o*o**(-1\/5)*o)\/o*(o\/(o\/o**2)*o)\/o*(o*(o\/o**(1\/4)*o)\/o*o)**(-19\/4)) assuming o is positive.\nAnswer: o**(15179\/1840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1652 + 223 = -25*o. Is (30\/o)\/((-2)\/150) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**2 + 20*z + 222. Give c(44).\nAnswer: -834","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 202859.845 rounded to the nearest one thousand?\nAnswer: 203000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03390403 to 5 decimal places.\nAnswer: 0.0339","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0025382 rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -600 or 1?\nAnswer: -600","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*-3*sqrt(448))**2 + sqrt(448) - (0 + sqrt(175) - sqrt(7) - sqrt(896)\/sqrt(8)).\nAnswer: 8*sqrt(7) + 36288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 6 = -2*b - 20, -4*k + 3*b - 7 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**3 - 14*h**2 + 12*h - 19. Calculate y(13).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 381, -0.1, -3, -0.5, 9.9 in increasing order.\nAnswer: -3, -0.5, -0.1, 9.9, 381","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**3 - 727*c**2 - 2092*c - 5 wrt c?\nAnswer: 12*c - 1454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**3 + 7*v**2 - 3*v + 5. Let j be c(5). What is the greatest common divisor of 5 and j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0 and -228538454650.\nAnswer: -228538454650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, b: 4, h: 2}. What is prob of sequence bb?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*x + 39 - 39 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes before 11:58 AM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 61800760?\nAnswer: 2, 5, 7, 31531","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 161 and 3787455.\nAnswer: 87111465","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -545 or -2895?\nAnswer: -2895","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 + -23. Calculate the greatest common factor of k and 126.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011111101 + -1101010100110?\nAnswer: -10010110100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -68, -2, 2 in decreasing order.\nAnswer: 2, -2, -68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -197*v. Let q(m) = -311902*m**2. Give s(q(y)).\nAnswer: 61444694*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -234700 to the nearest 10000.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*n + 73040 = 4*s, 2*s - 3*n = -2*n + 36514. Calculate the highest common divisor of s and 224.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 976 a factor of 2010560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 20.48 or 0.0521?\nAnswer: 20.48","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1992295781 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6289\/17800 - 31\/89. Calculate the common denominator of v and -37\/40.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 5*p - 100 = 0, -p = 5*n + 3*p - 102. What are the prime factors of n?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n - 8, 2*h + 4*n + 10 = 5*n for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 2 + 326*m**3 - 8 + 13 to x*m**3 + w*m + u + c*m**2 and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11185315 and 12110?\nAnswer: 156594410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v + 3. Let l be x(-4). Let d(c) = 2*c + 1. Let p(y) = -5*y - 3. Let g(m) = -17*d(m) - 6*p(m). Let n be g(l). Solve u = n - 3 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18, 58, 118, 192, 274, 358, 438, 508?\nAnswer: 562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 9:14 PM?\nAnswer: 11:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 5) in base 2?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 3*a - 286 = 0, 126 = 3*q - 4*a - 39. Is q composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**29\/(c\/((c**(1\/14)*c)\/c)*c*c) assuming c is positive.\nAnswer: c**(365\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve p + 10 = -3*z, z + 4*z + 14 = p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -6569424 rounded to the nearest 1000000?\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1326 + 1365. Calculate the remainder when 120 is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/14 - 99\/7. Let a be 70\/(-49)*z\/4. Let m = 14 - a. Solve -m = o + 3*l, -4*o = 2*l + 3 - 7 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.553 rounded to 1 dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.5*10010.484\nAnswer: 5005.242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = q + 51 - 46 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 10 = -2*d. Find the third derivative of 6*a**6 - 2*a**6 - 3*a**2 - 2*a**6 + a**d wrt a.\nAnswer: 240*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 13 = -3*c, -46*a + 49*a = -4*c + 16 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -97 - -98. Let c be (1 - (2 - 2))\/2. What is the biggest value in 0, o, -0.5, c?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1))**(-21)*o**1\/o*o**3\/o assuming o is positive.\nAnswer: o**23","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 - 1. Let y be i(-1). Let d(n) be the first derivative of y + n - 1\/2*n**2. What is the derivative of d(a) wrt a?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -12*i - 6. What is the remainder when z(-12) is divided by 1\/(-3) - (-106)\/3?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 350*i*t**4 + 30209*i*t**3 - i*t**2 - i*t + 513786*t**2 wrt t?\nAnswer: 8400*i*t + 181254*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**5 + 9*g**4 + 261*g**3 + 699*g**2 + 666*g + 216.\nAnswer: -3*(g - 12)*(g + 1)**3*(g + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (((-100)\/(-18))\/(-5))\/((-4)\/(-120)). Let u = z + 451\/12. Calculate the common denominator of u and -107\/156.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -3*p + 2. Let i(u) = 56*u**2 + 1. Let q be i(p). Suppose -2*k = k - q. What is the highest common divisor of k and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/20 + (-25)\/(-4). Suppose -2*s = -4*l - 20, 4*s - 10 = l + 9. Suppose 3*f = -2*f - s*v + 95, -3*f + 5*v = -20. Solve a - h*a = -f for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -0.2 (b) -24 (c) 22 (d) -2\/9 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 212223310 + 2020?\nAnswer: 212231330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -75708, -151380, -227032, -302664, -378276, -453868, -529440?\nAnswer: -604992","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -327 + 556. Is k a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 7 = 1 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 16523879 to the nearest one hundred thousand.\nAnswer: 16500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*(d\/(d*d\/(d\/((d*d**(4\/3))\/d*d))*d*d))\/d*d\/(d*d**5)*(d**(-5\/3))**(2\/51) assuming d is positive.\nAnswer: d**(-1438\/153)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11407 = 31963*g - 31776*g for g.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -518 take away 1.1?\nAnswer: -519.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319*d - 311*d + 16 = 0. Calculate the remainder when d\/((-1)\/(-2)*24\/(-1452)) is divided by 81.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + 9. Suppose -4*f + f + 6 = 0. Suppose -3*g = f*v + 2*v - 5, -3*g = -5*v + 13. Calculate the lowest common multiple of k and v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 14 + -14.7. Let a = -1 - b. Let v be 4*((-2)\/(-28) + 0). What is the nearest to -1\/2 in 3\/7, v, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -3946899 and -1653.057.\nAnswer: -3948552.057","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the first derivative of -i**3\/3 - 7*i**2 - 16*i - 123. Let q(g) = -6*g. Let o be q(2). Let a be y(o). Which is greater: a or 7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 56113089?\nAnswer: 3, 18704363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -73*p**3*z + 36*p**3 + 4*p**2*z + 5*p*z - 11*z - 1 wrt p?\nAnswer: -438*z + 216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 761?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 186138 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -317782.5019 rounded to the nearest 10?\nAnswer: -317780","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 14197754?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - 8) + (-2 - -2) + -2?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b + 2*b + 4174 = 4*i, -5*i + 3*b = -5218. List the prime factors of i.\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/((-10)\/24))\/(38\/(-95)). Let q be ((-10)\/(-5))\/(v\/2 - 2). Let x be -2*(1 - 13\/9). Is q less than or equal to x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q = 3*o - 59, -12*q + 9*q - 1 = -o. Suppose 8*v = 93 - o. Let t(r) = -r**3 + 5*r**2 + 2*r - 2. Calculate the smallest common multiple of t(5) and v.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.337 times 0.4?\nAnswer: 0.5348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = w**2 + 8 + 0*w**2 - 9*w - 6. Let p(b) = -b**2 + 5*b - 1. Let r(g) = -g**3 + g + 5. Let z be r(0). Give z*p(n) + 3*s(n).\nAnswer: -2*n**2 - 2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = -0*w + 32. Suppose w + 1 = 3*c. Let r(v) be the third derivative of v**6\/120 - v**5\/15 + v**4\/24 - v**2. Calculate r(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**0\/y**(-5)*(y**(1\/4))**14)\/((y*(y**3\/y)\/y)\/(y*y*((y*y\/(y\/(y*y**(3\/8)\/y)))\/y)\/y*y*y)*y**0*(y**0\/y)\/y) assuming y is positive.\nAnswer: y**(95\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + k = 0, -5*k + 18 + 2 = 0. Suppose l - 14 = -2*l + x*t, 14 = 5*l - 2*t. Suppose -l*n = -0*n - 4. What is the units digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r. Let m(o) be the second derivative of -2*o**3\/3 - 7*o. Calculate b(m(s)).\nAnswer: -12*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*u + 97*u + 23*u = 2121. Sort -3.96, 1\/4, u in descending order.\nAnswer: u, 1\/4, -3.96","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-2)\/(-7) + 1496\/56?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -6 + -3 - -8\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the third derivative of -7*z**4\/24 - z**3\/3 + 40*z**2 + 2*z - 3. Let y(b) = -b - 1. Calculate -q(l) + 2*y(l).\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2394\/4*30\/45. Let z = p - 379. What is the remainder when 270 is divided by z?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -7*q + 77. Let y be a(10). Solve -y*t = t - 16 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 2*n + 11. Calculate h(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 68 + -33 - (-3 + -35)\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 499544059 - -3.\nAnswer: 499544062","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (380\/(-950))\/(7\/10)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w + 3 = 1. Suppose -3*z + 0 = -9. What is the first derivative of -z + 4 - 7*q**4 + w*q**4 wrt q?\nAnswer: -20*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(220)\/sqrt(100)*-3)\/(sqrt(110)\/(sqrt(640) + 2*sqrt(640))).\nAnswer: -72*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 24057 a multiple of 99?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*j**2 + 24*j - 44*j**2 - 24*j.\nAnswer: -71*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 2*x + 6*x**2 + (-3*x + 2*x + 2*x)*(4*x - 2*x - 3*x).\nAnswer: 5*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 27 - 73. Let t be 1096\/a + (-1)\/(-5). What is the highest common factor of t and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 16*d**2 + 53*d + 1241. Let p be t(-24). Do 9184 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a micrometer in nanometers?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in thirty-one fifths of a millennium?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 38188.107 minutes in days?\nAnswer: 26.51951875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h**0\/h)\/h)\/(h*h\/(h**7\/h))*h**(-2\/15)*h**(-1\/16))**30 assuming h is positive.\nAnswer: h**(433\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p + 3*k = -5, 3*p - 2*k = -2*p + 20. Suppose 6*v = -10 + 88. Solve -m = 5, d - v = p*d + 2*m for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*k - 1635 = -6531. What is the greatest common factor of k and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 2*g - 303. Let l(v) = v + 1. Give 4*l(i) - y(i).\nAnswer: 2*i + 307","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 33, -0.2, -2, -1\/748?\nAnswer: 33","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, q: 1, w: 2, e: 1, z: 1, x: 1}. Give prob of picking 1 w and 1 x.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 3 - -27421?\nAnswer: 27424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16810?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 + 5. Suppose -i + 54 = -q*i. What is the units digit of -14*42\/(-8) + (-3)\/i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 18*i**2 + 13*i + 7. Let m(a) = -18*a**2 - 17*a - 8. Determine -3*m(o) - 4*n(o).\nAnswer: -18*o**2 - o - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 60 + -58. Let w(c) = c + c**3 - 19 - c**p + 9 + 12. Let n be w(0). Solve -g = -n*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4164 to the nearest integer?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119169*m = 119142*m - 405 for m.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 509 is divided by 4\/((-123)\/(-12) - 10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2640166 - 5?\nAnswer: 2640161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1070271 is divided by 502.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -d448 (base 16) to base 2\nAnswer: -1101010001001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y. Let a(x) = -2*x + 56. Let k be a(27). Let s(h) = -73*h - 1. Let z(i) = 73*i + 1. Let o(q) = k*s(q) + 3*z(q). Calculate o(t(u)).\nAnswer: 73*u + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4788 is divided by 580?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + l + 1 = 0, -2*l + 9 = 3*l - 36 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -18\/8875 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 9\/4, 2\/253, -3, 2?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89965 is divided by 8655.\nAnswer: 3415","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -168, -337, -506, -675, -844?\nAnswer: -1013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 10497 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) be the third derivative of g**8\/20160 + g**7\/504 - 53*g**5\/60 - g**2 - 6. Let z(r) be the third derivative of t(r). Let i(d) = 3*d. Calculate z(i(v)).\nAnswer: 9*v**2 + 30*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -2*x - 17. Let l be -5*(-6)\/(-9)*3\/1. Let o be z(l). Which is the smallest value? (a) -5 (b) 0.6 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is -40204613 <= -40204611?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 21477203 to the nearest integer?\nAnswer: 4634","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1110 (base 3) to base 5\nAnswer: -124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 30 = 2*f. What is the least common multiple of 10 and f?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m - 4 + 4)*((2 + 2*m**2 - 2)*(2 + 1 - 1) + m**2 - 4*m**2 + 4*m**2) to r*m**3 + i*m**2 + h + k*m and give r.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*u - 14*u = -p - 7, 0 = 5*p + 2*u - 11 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 32451601 and 75076.\nAnswer: 129806404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 - (7 - -4) - (1 - 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5203108 is divided by 473008.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -27741.05\nAnswer: -27741.05","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 - -4)\/((-6)\/(-3)). Suppose 0 = 5*c + 3*x + 1, -x = -2*x - a. Let k = c - -99. Calculate the greatest common divisor of k and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1672 is divided by 404?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(156) + sqrt(156)*2)*2)\/(6*sqrt(48)\/sqrt(4)).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 150*t + 19. Let l(k) = -3303*k - 423. Let h(i) = 45*b(i) + 2*l(i). Let d(c) = -72*c - 4. Determine 13*d(q) + 6*h(q).\nAnswer: -72*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-2\/13)\/(c\/(c*c*c\/c**3*c))*c*c**(-5)*c*c*c\/c**3)**(5\/4))**(-39) assuming c is positive.\nAnswer: c**(405\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4275 (base 12) in base 5?\nAnswer: 213124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 13.3\nAnswer: -3.99","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1020 - 942. What is the greatest common factor of w and 858?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0062 * -84\nAnswer: -0.5208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*f + 22*h = -1277, -73*f + 3*h - h + 109 = -36*f - 34*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.045 + 424.\nAnswer: 424.045","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is (11558\/5)\/((-32)\/(-80)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17 + 16.19. Let v = w - -0.757. Let h = -7.847 + v. What is h rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -5*n**3 - 5*n + 4. Let h(x) = 4*x**3 + 4*x - 4. Give 6*h(c) + 5*s(c).\nAnswer: -c**3 - c - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8264 = 2*j - 3*u + 2551, 4*j = 4*u + 11428. List the prime factors of j.\nAnswer: 2, 1429","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**3 + 137*m**2 + 891*m - 36. What is k(-6)?\nAnswer: 198","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -26. What is the greatest common divisor of h and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*a - 5*v + 8*v + 10, -5*a - 5*v - 25 = 0. What is the closest to 0.1 in a, -4, -5, 9\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.77931 * -192\nAnswer: 341.62752","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 - 1 + 1 + (-186*c**3 + 186*c**3 - 57*c**4)*(-3 - 2 + 2) - c**4 - 2*c**4 + 4*c**4.\nAnswer: 171*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2287985866.9 - 1.2?\nAnswer: 2287985865.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2255598 + 2255598 + 4*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) 5 (b) -720 (c) 0.11 (d) -3\/4 (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -13*s**3 - 5*s - 5. Let c(l) = 20*l**3 + 8*l + 8. Suppose -2*o + 2 + 2 = -4*x, -6 = -2*x. Give o*i(m) + 5*c(m).\nAnswer: -4*m**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/15 - (-1770)\/225. Solve v + 3*v = y for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(208)*2 + 2 + sqrt(208) + (sqrt(208) + 0)*-1.\nAnswer: 2 + 8*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5809?\nAnswer: 37, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 2*n**3 + 1405*n**2 - 1405*n**2.\nAnswer: -2*n**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5227 - -41879\/8. Let c be (-1)\/3 - 6782\/(-6). Let i = -4563\/4 + c. Find the common denominator of d and i.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 78 divided by 4\nAnswer: 39\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 g when three letters picked without replacement from wiwwgiwwili?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1126039 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -129*d**6 - 11*d**2?\nAnswer: -15480*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 1:38 PM?\nAnswer: 10:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1692408269?\nAnswer: 1692408269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 10, -100, 2, -0.2 in ascending order.\nAnswer: -100, -0.2, 2, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 10387551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 8 = 5*l + 120, -4*k - 3*l + 128 = 0. Calculate the remainder when 70 is divided by k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5 - -2. Let q = 1.452 - 2.452. Let p = 183\/4 + -46. Which is the nearest to p? (a) 0 (b) q (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36165 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -40*k + 42*k. What is the nearest to 1\/4 in k, -1, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -21 + 41. What is the third smallest value in x, 5, -0.3?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7593253621 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 59*g - 6. Let o(k) = 1001*k - 105. Suppose -4*y - 29 = -2*q - 13, 2*q - 1 = y. Let p(t) = q*o(t) + 35*c(t). Let j(u) = 2*u**2. What is j(p(z))?\nAnswer: 7938*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -469, -5907, -20647, -49339, -96633, -167179, -265627, -396627?\nAnswer: -564829","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*u + 220 - 52. Let h be (u\/(-42))\/((-4)\/(-9)). Solve 0 = 4*f - y - 16, -h*f + 2*y + 12 = 3*y for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -115 + -428. Let g = w - -543.0016. What is g rounded to four dps?\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12579*j**2*n**3 - 20*j**2*n*p - 16*j*n**3*p + 14*n**3*p + 2*n**2*p + 240 wrt j.\nAnswer: -25158*n**3 - 40*n*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-180)\/(-375))\/(-4))\/(6\/(-20)).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 879987 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-l**2 + 2*l**2 + l**2)*(3*l + 2*l - 3*l) + (-43316*l**2 + 43316*l**2 + 205*l**3)*(2 - 4 + 4).\nAnswer: 414*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -5, -3 in descending order.\nAnswer: -3, -5, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7 + -91?\nAnswer: -8a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*l**2 + 420*l + 7600.\nAnswer: 2*(l + 20)*(l + 190)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1536509?\nAnswer: 13, 181, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.141 + -871.859. Let h = g + 871.5. Let l = 1.2 + -1. Sort h, 2, l in ascending order.\nAnswer: h, l, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 3*i - 13 = 0, -3546*f + 14 = -3544*f + 2*i. Sort -3, 2, f in descending order.\nAnswer: f, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2\/2 + 2443*a\/2 - 12165.\nAnswer: -(a - 2433)*(a - 10)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 3198 and 9596\/3 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -30222 - -3?\nAnswer: -30213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 1924*t + 925444.\nAnswer: (t + 962)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -52 - -49. Let k be (-104)\/32 - h*(0 + 1). Suppose 2*r + r = 0. Which is the nearest to 5? (a) r (b) k (c) -4\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jwwj. Give prob of picking 2 j and 1 w.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -17920130, -71680496, -161281106, -286721960, -448003058, -645124400, -878085986?\n\"Answer: -17920122*f**2 - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:01 PM and 8:23 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**1)**38\/(b**(2\/7)*b**1) assuming b is positive.\nAnswer: b**(257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*m = -25, 0 = -9*i + 4*i + 4*m + 31. Suppose -i*h + 775 = 12. Let b = -73 + h. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57*w**2 + 430*w**2 + 32*w - 32*w to the form r + t*w**2 + x*w and give t.\nAnswer: 373","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g - 44. Let p be q(-22). Suppose p = -4*y + 227 + 49. Does 11 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2561131 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1690265\/1524 or 1110?\nAnswer: 1110","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 133 - 133. Sort 5, -4, d, -3 in descending order.\nAnswer: 5, d, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34 = -3*t + 3*p + 13, -7 = -6*t - p for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -1*8\/(-4).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 12 and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6985)\/3810)\/(-1*(-1)\/(-6)).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 5, e: 3, i: 1, b: 1, g: 1, n: 2}. Give prob of picking 1 n, 1 y, and 1 e.\nAnswer: 15\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4\/5 - 2*b + 8\/5*b**2 - 2\/5*b**3.\nAnswer: -2*(b - 2)*(b - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-256)\/(-5408))\/4)\/(((-5)\/2)\/((-125)\/100))\nAnswer: 1\/169","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -j**3 + 65*j**2 + 21113*j - 21177 = 0?\nAnswer: -117, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -239475 from 5.\nAnswer: 239480","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228945291*c**2*v**2 - 157007154*c*v - v**2 wrt c.\nAnswer: -457890582*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 29401 + -29386. Calculate the remainder when 171 is divided by t.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 3651436, 3651445, 3651454?\nAnswer: 3651463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*l + 177 = -23*l. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 133\/30 + 3\/18. Suppose -13 + 42 = -5*n + 4*b, -4*b + 28 = -4*n. Is n less than or equal to a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -901097 divided by -6?\nAnswer: 901097\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8 divided by 32\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i = 10, -11*c + 3*i = -14*c + 6 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5 + -5. Suppose -16 = -0*g + g - 4*w, 0 = g - w + 1. Solve -z + g*z = a for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n*n*n**(-1\/8)*n)\/(n**(-5)\/n))**48\/((n**(-2\/5)*n)**(-5\/8)\/((n\/n**6*n)\/(n*n*n**(-5)))) assuming n is positive.\nAnswer: n**(3403\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k = 3*p + 33, -3*p = -2*k + p + 32. Suppose 3*n = k + 3. Solve 2*y = n*v - 2, -5*y + 0*v - v - 22 = 0 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2 = -1. Let y be ((0\/(-1))\/s)\/3. Let n(j) = j**2 - j - 11. Give n(y).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 11844*g**2 + 277*g - 1940. Let a be t(7). Let r be 10*(1 + 68073\/(-2)). Let y = a + r. Round y to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 32\/9 of a hour?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -28, -69, -180, -397, -756, -1293, -2044?\n\"Answer: -6*x**3 + x**2 - 2*x - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 4*a**4 - 107256*a**3 + 1179492*a**2 - 4288672*a + 5146176 = 0.\nAnswer: 3, 4, 26803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -405283, -405372, -405447, -405502, -405531?\nAnswer: -405528","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1997446300?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1211 by -1.\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Add together -6660 and 296912688.\nAnswer: 296906028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.0010863 - -0.0002. What is m rounded to five decimal places?\nAnswer: -0.00089","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:20 AM and 3:20 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -442 (base 10) in base 3?\nAnswer: -121101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) be the second derivative of -d**4\/6 - d**3\/3 - 2*d**2 - d. Let m(t) = -10*t**2 - 10*t - 21. Let o = -25 + 17. Let q = o + 6. What is q*m(w) + 11*s(w)?\nAnswer: -2*w**2 - 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t*t*t**1)\/t)\/t)**(1\/38)\/((t*t\/t**(17\/5))\/(t\/(t**(-1\/22)*t*t))) assuming t is positive.\nAnswer: t**(1041\/2090)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30 = -10955099*v + 10955097*v - 5*h, 3*v + 49 = -8*h for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the second derivative of 0*i**3 + 0*i**4 + 0 - 10*i - 1\/6*i**6 - 15\/2*i**2 + 0*i**5. What is the first derivative of n(k) wrt k?\nAnswer: -20*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -159818*u - 8630176. Give r(-54).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -165*j**3 - 6788036 + 6788036.\nAnswer: -165*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 5*q**2 - 4*q + 1. Let n(t) = -7*t - 52. Let h be n(-8). Suppose -w - h*k + 27 = 4*w, -5*k = 4*w - 27. Calculate r(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 6*t + u - 5 = 0, 0 = -5*u + 25. Suppose 3*c + 30 = -t*c. Let v = c - -18. Calculate the remainder when 22 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*j**2 - 13*j**2 + 67*j**2 - 174*j**2.\nAnswer: -186*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -5*0.38\nAnswer: -1.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -8892*v**2 + v + 3. Let h be a(3). Let c = h - -56022. What is c rounded to the nearest ten thousand?\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2750\/20)\/11*(-44)\/(-22)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*t**4 - t**2 + 596*t - 1790 wrt t.\nAnswer: 8*t**3 - 2*t + 596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 57 and 2603?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -658 (b) -3 (c) -3\/2 (d) 2\/25\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 5:39 AM?\nAnswer: 7:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h**(-1\/5))**40*(h*h**(2\/17))\/(h*h**(-3\/7)))\/(h**11*h**(1\/3))**(-36) assuming h is positive.\nAnswer: h**(47665\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -4810*c**3*d - 20*c**3 + 18*c**2 - 3*d**2 - 9 wrt d?\nAnswer: -4810*c**3 - 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - (0 + -5)) + 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes after 10:53 PM?\nAnswer: 11:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 504?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/2267 and 26\/9?\nAnswer: 20403","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (22*b + 34*b - 57*b - 382)*(3 - 2 + 3).\nAnswer: -4*b - 1528","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 5:00 PM?\nAnswer: 6:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8\/13 + 4\/91. Let o = -4133\/2 + 2068. Which is the nearest to -2? (a) i (b) o (c) -6\/7 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = -5, -5*n = 411*t - 406*t for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaaaaaaaatatttaataa. Give prob of picking 2 a.\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3077367?\nAnswer: 3, 1025789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 t when two letters picked without replacement from {g: 1, t: 1, r: 1, j: 1, i: 1, v: 2}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14421 and 765831.\nAnswer: 759","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 - j + 1)*(4 - 3 + 0) - 3 + 5*j + 3 + 40*j + 3*j + 23*j in the form c + w*j and give w.\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 368943515 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2895?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -672 (base 8) to base 15\nAnswer: -1e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 0. Let o(x) = -x**3 - 4*x**2 + 2. Calculate the remainder when a\/(1\/(-6)) - 2 is divided by o(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 996.81 + -997. What is the closest to 0.1 in -0.2, -2\/5, 2, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0 - (9\/(-45) + 11\/105). Put -1\/4, a, 1\/3, -3 in increasing order.\nAnswer: -3, -1\/4, a, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*b**2*t**4 - 742539*b**2*t - 57137*b**2 - 7*b with respect to t.\nAnswer: -12*b**2*t**3 - 742539*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 21 - 25 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-216)\/(-144) - (-2)\/(-4). Which is the fourth smallest value? (a) -474 (b) -0.4 (c) 0.1 (d) o (e) 0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.7 + 4. Let s = 0.8 - m. Let j = 1 + -1.2. Which is the closest to 1? (a) -2 (b) s (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(51)\/(-2*sqrt(3)) - sqrt(17)) + 2*sqrt(1088))**2 + -4 + (sqrt(119)\/(sqrt(14)\/sqrt(2)))**2.\nAnswer: 14349\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-14)\/((-3)\/3) - (2 + 1). Let j(x) = -2*x + 7. Let k(u) = 0*u - 4*u + 0*u + 13. Give c*j(m) - 6*k(m).\nAnswer: 2*m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*y + v - 15 - 2, 0 = -y + 4*v + 8. Let k(a) = -42*a**2 + 65*a**2 + 12*a**2 - 39*a**2 - a**3. What is k(y)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -112546 or 1.12?\nAnswer: -112546","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 562 and 2234793?\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -23 + -5?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -194000 to the nearest ten thousand.\nAnswer: -190000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3\/22 (b) 0.3 (c) 13 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -22993273 greater than or equal to -22993271?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express -24*a**4 + 29*a**4 + 10*a**2 + a - 893*a**3 + 895*a**3 in the form u*a**4 + h + r*a**3 + o*a**2 + x*a and give o.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-4))**(-2\/73) assuming j is positive.\nAnswer: j**(8\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -18525*c**4*k**3 + c**4 + c**2*k + 32*c**2 - 138*c + k**3 wrt c.\nAnswer: -444600*c*k**3 + 24*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1298849 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -30, -26, -30, -36, -38, -30, -6?\n\"Answer: i**3 - 10*i**2 + 27*i - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the first derivative of -2*i**3\/3 + 1751*i**2\/2 + 12891. Let g(o) = -2*o**2. Determine u(g(d)).\nAnswer: -8*d**4 - 3502*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from oaautooaoaroatt.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = a - 13, -66*o = -62*o + 5*a - 33 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 38\/(-190)*4\/4.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 63*d - 6 - 880 - 626 for d.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the first derivative of 0*s - s**3 + 3\/5*s**5 - 1\/2*s**6 + 6 + 0*s**2 + 3\/4*s**4. Factor c(p).\nAnswer: -3*p**2*(p - 1)**2*(p + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1 - -10. Suppose 7*x = 2*x + 3*r + 362, 2*x + 3*r - 128 = 0. Let k = w + x. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*i - 84 = -4*i. Let o = i + 23. What is the second derivative of 6*j**o - 8*j**3 + 4*j - 9*j**2 + 3*j**2 wrt j?\nAnswer: -48*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**2. Let i(h) = -44*h. Give b(i(y)).\nAnswer: 1936*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -l**3 + 4*l + 2*l**2 + 3*l**2 - l**3. Let g(q) = -q**3 + 3*q**2 + 2*q. Suppose -r + 7 = 2. Let b be -1 - (-4)\/(-4 + 2). Determine b*p(n) + r*g(n).\nAnswer: n**3 - 2*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*u + 5*u - 22*u**2 - 7*u.\nAnswer: -22*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -317416, -317268, -317022, -316678?\nAnswer: -316236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 695 and 42340.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5187 = -14*z - 7*z. What is the greatest common divisor of 13 and z?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 60.139 - 0.139. Let q = v + -63. Let i = -40 - -43. What is the nearest to -5\/4 in 0.2, q, i?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (11 + -2)*(-30*(-44)\/2970 + (-328)\/36)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 43 by 4.\nAnswer: 43\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 70 - -49. What is the remainder when g is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 59 or 8068\/135?\nAnswer: 8068\/135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 13, -46, -5, 3 in descending order.\nAnswer: 13, 3, -5, -46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2134?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-7) + 80\/(-14). Let r(f) = 2*f**2 - 31*f + 59. Let b be r(2). Let p(l) = -2*l**2 + 5*l - 2. Let d(h) = -2*h**2 + 6*h - 2. Give b*d(k) + v*p(k).\nAnswer: 2*k**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3 + -4)*(-12)\/(-24) - 3.\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -540 + 7*s**2 + 0*s + 530 - s**3 + 8*s. Suppose 0 = u - 4 - 0. Is i(u) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58*i + 62*i = -16, -14 = 2*f + 4*i. Sort -10, -3, -7, f in decreasing order.\nAnswer: f, -3, -7, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is nineteen tenths of a centimeter in millimeters?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**2 + 3*w**3 - 2*w**2 + (1 - 1 + 3*w)*(-68*w**2 - 96*w + 96*w) - 2 + w**3 + 2 - 2*w**3 - w**3 + 0*w**3 + (6*w - 3*w + w)*(3*w**2 + 0*w**2 - w**2).\nAnswer: -195*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = 56*q + 869. What is w(-16)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 882 and 126\/((71 - 70) + 8\/(-10)).\nAnswer: 4410","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4393 - -4415. Solve -m*y = 59 - 37 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-1\/8))**(3\/25) assuming l is positive.\nAnswer: l**(-3\/200)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 4 - -1 - (-3 - (12 - (-1 + (-9 - -10))))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1043?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 70 - 52. Calculate the least common multiple of 6 and q.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 12. Let f(t) = 3 + t - 2 - 1 + 35*t**2. What is the units digit of f(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2683321.\nAnswer: 2683321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 17*d**2 + 462*d - 1088*d - 15*d**2.\nAnswer: 2*d*(d - 313)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(304) - (1 + sqrt(304))) + 4)**2 + (2*(0 + sqrt(931)))**2.\nAnswer: 3733","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pyz when three letters picked without replacement from zeppppzpysqepp?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(960) + (sqrt(90) - (-3*sqrt(90) + sqrt(90) + sqrt(90) + sqrt(90)))\/sqrt(6))\/(6*sqrt(432)*2 - (sqrt(432) - sqrt(432)*1)*-4).\nAnswer: -5*sqrt(5)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (c**4 - 2*c + 2*c)*(-1 + 2*c + 1 + (-3 - 3 + 7)*(0*c + c + 0*c)) + (5*c**2 + 10*c**2 + 6*c**2)*(3*c**3 + 3*c**3 - 3*c**3).\nAnswer: 66*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 1 = -3*o - 0, -4*b - 2 = -2*o. Let h = -19 + 96\/5. Which is greater: o or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 x when four letters picked without replacement from {x: 8, v: 3}?\nAnswer: 7\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 231 and 264?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51580420 is divided by 4689128.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 1:44 PM?\nAnswer: 3:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1.01 + 28.59. Let f = 4.6 - q. Let v = f + 24.91. What is v rounded to 1 decimal place?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 4*f + 432 = 0. Suppose -32 - f = -2*b. What are the prime factors of b?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t + 1 - 1)*(-2 + 5 + 0)*(1 + 0 - 2 + (0 + 3 - 2)*(6 - 2 - 2) + 3 - 3 + 3 + 9 - 12 + 78).\nAnswer: 711*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((3 + sqrt(11) + -4 + -2)*3 - ((sqrt(396)*1 - sqrt(396))**2 + 1 + 3)).\nAnswer: -39 + 9*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2207 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 40 and 334890.\nAnswer: 1339560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9235816 divided by 67.\nAnswer: 137848","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -82*y + 227. Let a be r(3). Let n be (-1 - 6\/(-8))*(a - -15). Factor -n + 1\/3*d**2 + 2\/3*d.\nAnswer: (d - 1)*(d + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - 4.8. Let c = x - -5.99999928. What is c rounded to seven dps?\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**3 - 696*k**2 - 43623*k - 369630 = 0.\nAnswer: -111, -10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -608*t - 9*t**4 - 7*t**2 + 24*t**4 + 3*t**2 - 11*t**4 + 2*t**2 as z*t + n*t**2 + p + d*t**4 + q*t**3 and give z.\nAnswer: -608","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01133707 to 4 decimal places.\nAnswer: 0.0113","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from roelorrrerrsoskrr. Give prob of sequence ssl.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6, -10, -14, -18?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4343056969 + 4343056712.0000463. Let x = i + 257. What is x rounded to six dps?\nAnswer: 0.000046","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10532, 21102, 31670, 42236?\nAnswer: 52800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qfr when three letters picked without replacement from yqysuurfuuqr?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 34\/5 of a century in years?\nAnswer: 680","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the third derivative of 19*o**6\/30 - 139*o**3\/6 + 2*o**2 + 18. Find the first derivative of h(d) wrt d.\nAnswer: 228*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -24 times 0.657\nAnswer: -15.768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 33.595 and -229934132?\nAnswer: 229934165.595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -383 + 7*v + 1173 + 2*v**2 + 1294.\nAnswer: 2*v**2 + 7*v + 2084","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-28)\/(-6) - 2\/3. Let p(v) = -v**3 + 5*v**2 - 3*v + 1. Let b be p(a). Let l(w) = -w**2 + w + 3. Let d be l(0). Sort b, d, -3 in increasing order.\nAnswer: -3, d, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:45 AM and 10:48 AM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -40*z. Let r(y) = -268013*y**2. What is c(r(h))?\nAnswer: 10720520*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 336?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3772 is divided by 20.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 11*r + 49 - r**3 + 11*r**2 - 14*r**2 + 16*r**2 + 16*r. Let k be u(15). Solve -k*m + 22 = -3*h, -2*h + 8 = 4*m + 2*h for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 51 and 243.\nAnswer: 4131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1534201 (base 7) to base 6.\nAnswer: -4301514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 717.0165 millilitres in litres?\nAnswer: 0.7170165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2607b2 (base 12) in base 2?\nAnswer: 10011000001001110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - 3*v. Let s = 409 - 392. Suppose -s*f = -5*f - 48. Solve 5*b + n + n = -9, f*n - 12 = v for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a - 8. Determine l(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 6*v**2 - 2*v - 1. Suppose 4*r - 5*r = 4. Let i be ((-2)\/4)\/(r\/(-8)). What is y(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7 + 4. Let c(p) = -p**2 - 6*p + 2. Suppose 61*l + 2325 = 92*l. What is the remainder when l is divided by c(s)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*n + 2*k + 17630 - 17632, 0 = 5*n + 4*k + 5 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*j - 163 + 739 = 0. Suppose 0 = 1095*l - 1103*l + j. What is the smallest value in -31, 3, l?\nAnswer: -31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46 + 49. What is the tens digit of 57 + (z\/(-1))\/(24\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -21 + (-732)\/(-14) + (72\/42 - 2)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = -h + 7, n + n - 3*h + 19 = 0. What are the prime factors of (5\/(-2))\/(n\/4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 2639*v**2 - 15741*v + 5293*v**2 - 2656*v**2.\nAnswer: -2*v**2 - 15741*v - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/((h*h\/(h\/(h*h*h**(1\/3))))\/h)*h\/(h**(-6)*h))**(1\/41) assuming h is positive.\nAnswer: h**(14\/123)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 29 and 1.2?\nAnswer: 34.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 (base 8) in base 7?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -13794 + 13794 - 306*r.\nAnswer: -306*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**3 - 12*a**2 + 3*a + 45. Calculate c(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 15664\/10 - (-4)\/(-10). Let b(g) = -104*g + 843. Let u be b(11). Let l = q - u. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r = -9*r + 3318. What are the prime factors of r?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-3)*(-56)\/(-12)*(-90)\/(-120)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9 by 177.\nAnswer: -3\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4*2\/(5 + 7)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -54 by 4.\nAnswer: -27\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cr when two letters picked without replacement from rrrrrrrrcrrrrrrrrr?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (3*sqrt(700) + -3 - sqrt(700))**2 - (-3 + ((sqrt(700) + -2)*6 - sqrt(700))))*-6.\nAnswer: -16944 + 1020*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 40195123?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 54 = k, 8*u - 3*k - 22 = 7*u. Suppose -2*w + 2 = 2*g - 6, g + 3 = 0. Solve u*x = w*x for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.0132718893 and 23.66?\nAnswer: 23.6467281107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2470724190?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2014022 (base 8) in base 16?\nAnswer: 81812","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 9:16 PM?\nAnswer: 3:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 524\/(-6) - (-6)\/3. Let g = k - -86. Let i = -11 + 11.3. Which is the smallest value? (a) i (b) -2\/15 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 2*v + 2. Let d be k(-2). Solve -j + d - 7 = 0 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -427436, -427648, -427862, -428078, -428296, -428516, -428738?\n\"Answer: -k**2 - 209*k - 427226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**3 - o + 3109. Is n(0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:24 AM and 7:19 AM?\nAnswer: 175","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 0 + 56*j - 41*j + 41*j + 0. Let r(k) = -6*k + 4. Let i(z) = -5*z + 3. Let l(n) = 4*i(n) - 3*r(n). Determine x(l(v)).\nAnswer: -112*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 4 + -3 - -4 - (148 + -132)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 10 + -17. Let q = -21 - x. List the prime factors of q\/21 + (-82)\/(-6).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {h: 3, v: 1, x: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -3408*l + 207958. Determine t(61).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 22 and 4200.\nAnswer: 46200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(832))**2 - (5 + -2*sqrt(13)) - (sqrt(208)*5 + -4).\nAnswer: -18*sqrt(13) + 3327","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 9 (b) -0.5 (c) -7 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 4, t: 4, e: 4, v: 2}. What is prob of picking 2 t?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 2*x**2 - 15*x + 18. Let n(k) = -k**3 + 10*k - 5. Let t be n(2). Is 5 a factor of p(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 22 (base 5) to base 14\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1b + 479b522?\nAnswer: 479b541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -380*n**2 - 9 + 9 + 394*n**2 - 1433*n**2 - 3908*n**2.\nAnswer: -5327*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j - 4. Let g be t(-6). Suppose 0 = -g*v + 6*v - 16. Suppose 0 = -i - v*i + 225. Calculate the greatest common factor of i and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + (8 - 21) + -11 + 4 + 5\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 2919 a multiple of 62?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1669982582?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -978 times 18608?\nAnswer: -18198624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 226*u - 215*u + 5 - 25*u + 667*u - 108*u to the form m + i*u and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -666, -1324, -1982, -2640, -3298, -3956?\n\"Answer: -658*f - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*z - 45375 + 15495 = 379*z + 676*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 6 = -f - s, -4*f - 2*s + 34 = 0. Suppose f*a = -2*a. Let t be a - (-3 + 6\/(-10)). Does t = 5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 14494.61t to micrograms.\nAnswer: 14494610000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -10825.9423 - -10824. What is u rounded to 1 decimal place?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is one fifth of a centimeter in micrometers?\nAnswer: 2000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31 = -3*c - 7. Let j be (-22)\/(-3) - 10\/(-15). What is the greatest common factor of j and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -110719 - -161426. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -j**4 + 2*j**4 + j**4 + (j + j**2 - j)*(4*j**2 + 0 + 0) + (j - j + j**3)*(4*j - 5*j - j) in the form a*j**2 + u*j + y*j**4 + t + f*j**3 and give y.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes before 9:48 PM?\nAnswer: 6:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**4\/7 + 11*f**3\/7 - 19*f**2\/7 + 4*f\/7 = 0. Calculate f.\nAnswer: -4, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 12 = 4*b, 5 = 3*l - 2*l - b. Differentiate 54 + 42*g**l - 56 - 104 wrt g.\nAnswer: 168*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.0367 * 1\nAnswer: 0.0367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 74 + 43841?\nAnswer: 43915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 7 - ((-2 - -3) + 3)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 73 + -76. Which is the nearest to -0.2? (a) -6 (b) 2 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10699?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-16)\/((35\/10)\/(-7)). Suppose l - 4 = s - l, 4*s - h = -4*l. Which is the smallest value? (a) s (b) -1 (c) 5 (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = j. Let y(g) = 254*g + 5. Give w(y(u)).\nAnswer: 254*u + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/60 and -107\/210?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1959 - -1849. Which is smaller: -1 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 2*a**3 - 7*a**2 + a + 2. Calculate q(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**3 - 12*s**2 - 23*s + 15. Let h be q(-7). Let n = h - -290. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -81 + 119. Suppose 3*d - k + 6 = -2*m, -2*d - 2*m = -18. What are the prime factors of d?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -43 - -54. Suppose -2*f = -u*f + 180. Suppose -p + 3*s + 19 = 0, -2*s = 2*s + f. Solve -c = p*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -203*q - 2*q**2 - 1484 + 1482 + 7*q in the form g*q + h*q**2 + w and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.3, 12\/143, -33, 8, -1, 0.29 in increasing order.\nAnswer: -33, -1, -0.3, 12\/143, 0.29, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/90 and -38\/99.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 45\/4 + -253\/20. Does 0 = b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2112 (base 8) to base 16.\nAnswer: -44a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of -c**6\/60 - c**5\/6 - 5*c**4\/8 + 2*c**3\/3 - 41*c**2. What are the prime factors of a(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (18 + 6 - 19) + (9 - 3) + -19?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 155 + -149. Let w(h) = 7*h**3 - 3*h**2 + 9*h - 3. Let b(a) = -2*a**3 + 2*a**2 - 1. Let k(r) = 4*b(r) + w(r). What is k(c)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j. Let p(f) = 11637*f**2 + 2886*f - 2. What is p(m(u))?\nAnswer: 11637*u**2 + 2886*u - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-3015770)\/(-45))\/((-20)\/(-90)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1011243240 - -3?\nAnswer: -1011243232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 405?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 + 1. Let v be 4*3\/(-8)*-2. Suppose v*h + d*h - 6 = 0. Solve -3 + 2 = 4*m + r, 8 = -h*m + 2*r for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*t**5 + 45*t**4 + 24*t**3 - 57*t**2 - 36*t + 12 = 0 for t.\nAnswer: -2, -1, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.3 * 2088.\nAnswer: 626.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v*v**4*v*v*v*v*v**5)\/(v**3\/((v*v**(-5))\/v)))**(10\/7))**(-2\/63) assuming v is positive.\nAnswer: v**(-40\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/18612779 at most as big as 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 - (6 + 4 + 2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 141490000 rounded to the nearest one million?\nAnswer: 141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**5\/6 - 14180*u**4\/3 - 354751*u**3\/3 - 1745590*u**2\/3 - 4967299*u\/6 - 1078630\/3 = 0. What is u?\nAnswer: -19, -4, -1, 28385","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/4526 and -23\/6424.\nAnswer: 199144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = 12*o**3 - 5*o**2 - 4*o - 5. Let r(k) = 6*k**3 - 3*k**2 - 2*k - 3. Give -3*a(w) + 5*r(w).\nAnswer: -6*w**3 + 2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -856687509 + 856687509 + n.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24434 (base 7) to base 14.\nAnswer: 248b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**12)**(-24)\/((f\/f**32*f)\/f*f**(-5\/2)\/f*f*f))**45 assuming f is positive.\nAnswer: f**(-22995\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 402?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 13 or 96?\nAnswer: 96","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 416*p**3 - 60*p**2 + 128*p + 185?\nAnswer: 2496*p - 120","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(204) + 1*sqrt(204)*5 - sqrt(204) - sqrt(204)) + sqrt(204) + sqrt(204) + 3*2*sqrt(204))\/(6*(sqrt(300) + sqrt(300)*-2) + sqrt(300)).\nAnswer: -12*sqrt(17)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 11439*a**2 + 123*a + 10455. Let n(y) = -369*y**2 - 4*y - 340. Let v(f) = 4*b(f) + 123*n(f). Let d(z) = 6*z**2. Calculate v(d(u)).\nAnswer: 13284*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 12 = -s - 5*g, -4 = -4*s - 3*g. Suppose -s*l + 0*l = -140. Let t = 50 - l. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0 - 13. Let i(r) = -r**3 - 13*r**2 - 11*r + 2. Is i(z) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 + 7 = z. Suppose q = 2*n - 43, -n + 39 = q - z*q. List the prime factors of n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18505*r - 3646*r + 8219*r - 11818*r.\nAnswer: -25750*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 16026 = -5*f - 15896, 5*f - 95 = -2*v for v.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 5.98. Let i = 0.98 - q. What is the second smallest value in 2, 0.5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(3 + (0 + -5*(sqrt(168)\/sqrt(4) - sqrt(42))\/sqrt(6) - 2*(1 + sqrt(567))*-5)))**2.\nAnswer: 37440*sqrt(7) + 909904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 579164172 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-120)\/3 - (-46 - -12 - -15).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*a**3\/8 - 7*a**2\/2 - 7*a\/2 + 4.\nAnswer: -(a + 2)*(a + 8)*(3*a - 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u - 5*j + 37 = -0*u, -u + 13 = 2*j. Suppose -4*h + 2*h**2 + 6*h**2 - 2*h**u + h**2 - 3*h**2 = 0. What is h?\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.094838\nAnswer: -0.0189676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 25.67 in -5, -0.5, -0.3, 1.4?\nAnswer: 1.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) be the first derivative of g**6\/30 + 4*g**5\/15 + 5*g**4\/6 + 4*g**3\/3 + g**2 + 5. Let n(f) be the second derivative of q(f). Factor n(a).\nAnswer: 4*(a + 1)**2*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9161166 and 12214888.\nAnswer: 36644664","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + 1 + 6 + -13 + 48.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2331851 and 37259.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 22 - 12. Suppose -2*s = -3*s + 4*m - y, 0 = 2*m - 6. Suppose 0*w + 4*i - 2 = 2*w, -i - 2 = 0. Sort w, s, 5.\nAnswer: w, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -775 - -808. Solve 34*a - t*a = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -s**2 - 5*s - 3. Let g be a(-4). Let b be (12 - (-1 + g))*1. Suppose -4*f + b = -24. Calculate the highest common factor of f and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 9*h**2 - 9*h - 11. Let r be b(10). Let o be -4*4\/(48\/(-15)) + r. Find j, given that -2\/5*j + 6\/5*j**2 + 2\/5*j**3 - 2\/5*j**o - 4\/5 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -109286*b - 2294950. Calculate s(-21).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = o**2 - 3*o + 4. Suppose 14*i - 35 = 7. Give v(i).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9822954 nanoseconds in seconds?\nAnswer: 0.0000000009822954","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 10:09 AM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -7*t**3 - 1320*t**2 + 16712*t.\nAnswer: -42*t - 2640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 9 - 6 - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = 4*u - 20. Suppose z - 3*i = -z + 2, 4*i = u*z + 9. Let h = -0.3 + -0.2. Which is the smallest value? (a) h (b) 1\/2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*u - 2*y + 22, -5*y - 10 = 0. Suppose n + u = 5*k, 4*n - 5*n - 3*k = -20. Solve 0 = 4*t + 2*g - 20, 0*t = -t - 2*g + n for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 7, -65, -175, -323, -509, -733?\n\"Answer: -19*r**2 - 15*r + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5930838 divided by -988473\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = 19*o**2 + 2*o - 4. Suppose 0 = -f + 2. What is the least common multiple of j(f) and 18?\nAnswer: 684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 89, 79, 71, 65, 61, 59, 59?\n\"Answer: w**2 - 13*w + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = y**2 + 5*y - 5. Let l be ((-5)\/(-2))\/(2\/4). Let x(h) be the third derivative of -2*h - 1\/12*h**4 - 69*h**2 + 0 + 1\/3*h**3. Give l*x(i) + 2*c(i).\nAnswer: 2*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 33\/110*2\/(-6). Let r = 571\/3 + -191. What is the fourth biggest value in 1\/18, s, r, 3\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.6440619 + -0.0560421. Let q = -44 - -41.3. Let d = q - h. What is d rounded to five dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-4680)\/5616)\/(20\/(-6))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 32*f**2. Let u(p) = 15804*p. Determine u(l(b)).\nAnswer: 505728*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the second derivative of 0 - 18*v + 0*v**3 + 0*v**2 + 2\/3*v**4. Let k(q) = -q. What is r(k(h))?\nAnswer: 8*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 + h**3 - 7 - 6*h - 5*h**2 + h**3 - 3*h**3. Let m be (5\/4)\/((-1)\/4). Give n(m).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 14\/28 - (59\/(-2))\/1. Suppose -5*j + w = x + x, -2*j = -4*x + 36. Calculate the lowest common multiple of x and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the third derivative of -m**5\/60 - 3*m**4\/8 - 4*m**3\/3 - m**2. Let q be r(-8). What is the closest to 1\/3 in -5\/2, -1, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.6 + 4.6. Let o = -63 - -66.9. Let g = o - f. Sort -0.3, -0.4, g in descending order.\nAnswer: g, -0.3, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/15)*h)\/((h*h\/(h\/(((h\/(h\/h**(4\/13)))\/h)\/h))*h)\/h) assuming h is positive.\nAnswer: h**(278\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2749 divided by -2\nAnswer: 2749\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 35\/(-56)*6\/(-10)?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (64 - -2 - -5) + -1. Let s = -66 + f. Solve -4*r - u = u + 18, s*r - 3*u = 7 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -501719 (base 11) in base 4?\nAnswer: -3011020131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:25 PM and 3:33 AM?\nAnswer: 428","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7137956673?\nAnswer: 3, 29, 27348493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 20 = -70. Let z be 4\/(-16) - (-194)\/8. Is 8 a factor of d\/(-3)*z\/(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 13*a + 12. What is z(13)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 39*h + 4 - 5*h + 9*h - 2 to o*h + v and give o.\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -22 = -9*u - 2*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -56\/1793 and -71\/2409792.\nAnswer: 2409792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 15 = -4*o - 45, 0 = -2*o - 4*g - 36. Let q be ((-15)\/5)\/o*20. Put -5, 4, -4, q in increasing order.\nAnswer: -5, -4, 4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1a6 - -587?\nAnswer: 3d1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -2*t**5 - 10*t**4 + 6*t**3 + 34*t**2 + 20*t = 0.\nAnswer: -5, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 3\/4 (b) 0.1 (c) -2\/17 (d) 47 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(88)\/sqrt(72) + sqrt(44))**2.\nAnswer: 539\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2150 + 2149.90625. What is h rounded to 2 decimal places?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) = -o**2 - 3*o + 8. Let u be t(-7). Let c = 65 + u. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/8 - (-15)\/(-4). Let v be 770\/(-44)*c\/14. Which is greater: v or 7\/2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 31 = 4*f, -50 = -4*p - 2*f + 2. Solve -3*l - p = 0, 27*l - 12 = 4*o + 31*l for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -353300 (base 6) to base 2\nAnswer: -111011101100100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 6664, 3, 30, -21, 0 in descending order.\nAnswer: 6664, 30, 3, 1, 0, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the third derivative of 0*u**5 + u**2 - 7\/3*u**3 + 1\/30*u**6 - 21 - 13\/24*u**4 + 0*u. What is the first derivative of s(c) wrt c?\nAnswer: 12*c**2 - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 321 divide 411960807?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4*s = 28, 4*s - 1 = -2*n + 1. Suppose -4*i - 14 = -n*i. Calculate the smallest common multiple of i and -3 - (428\/(-32) + (-21)\/(-56)).\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -450 and -4.\nAnswer: -454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*n - 234 + 249 = 0. Let r be (7 + (-2 - 4))*n. Sort 4, r, 12, -11 in increasing order.\nAnswer: -11, r, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 5, x: 3, p: 6, u: 1}. Give prob of picking 1 v and 3 x.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 735, 9, -4, -5 in descending order.\nAnswer: 735, 9, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 5, w: 5}. Give prob of sequence wwm.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = -3*q + 4*g, -4*q + 16 = -g + 4*g for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (3 - 8 - (-13 + 8)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -107845597.1 to the nearest 100000.\nAnswer: -107800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -5*z + f - 6, 0 = 5*z + f + 5. Let q be (3 + z)*-2 - 338998. Round q to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -71*a**2*t**2 + a**2*t*v**2 - 42*a**2*t - 6*a*t**2*v**2 + 3*a*t**2*v - t*v**2 + t wrt t?\nAnswer: -142*a**2 - 12*a*v**2 + 6*a*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l**2 - 15*l + 229. What is the remainder when ((-3)\/(-6))\/((-2)\/(-92)) is divided by i(-24)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (24\/40)\/(2\/10). Factor -11 - 626*y**2 + 630*y**2 - 5 + j*y + 9*y.\nAnswer: 4*(y - 1)*(y + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -361781, -723545, -1085309, -1447073?\nAnswer: -1808837","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 472864?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = y**2 - 9*y - 10. Let g be t(-9). Suppose 2*i + g = 4*n, 5*n - 5*i - 164 = n. Calculate the highest common divisor of n and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -543 divided by 3\nAnswer: -181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 16519 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -t. Let y(u) = -37*u**2 - 3*u - 3*u - 36*u**2 + 69*u**2. Determine 4*s(l) - y(l).\nAnswer: 4*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -3*m**2 - 8513*m - 269350. What is k(-32)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -97 - ((8 - 16) + 7). Is (-7789)\/(-10) + b\/(-960) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/2*-2)\/((-3)\/117). Let r(o) = 2*o**2 + 2*o. Let u be r(4). Let k = l + u. Solve 5*q + 4*a - k = -0*q, -24 = 4*q - 3*a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1809 and 4824.\nAnswer: 14472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.7*-1.11.\nAnswer: 0.777","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -97\/204 and -71\/44?\nAnswer: 2244","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q - 1. Let b(m) = 4*m - 11. Let n(w) = -4*w + 12. Let s(x) = 5*b(x) + 4*n(x). Let v = -85267 + 85269. Determine v*g(k) + s(k).\nAnswer: 2*k - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve v - 8 = 5*q + 51, -5*v - 24 = 4*q for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 7. Suppose 3*g - 5*p + 8 = -2, -3*p = -3*g. Suppose 5*b - 20 = g*z, 5 = 5*b - t*z - 13. Solve -5*u - b = 8 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + w + 1 = -10, -2*h - 2*w - 4 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) be the second derivative of -t**3\/3 + 25*t**2\/2 - 6*t - 493. Let p(b) = 2*b - 25. Determine -5*p(k) - 6*w(k).\nAnswer: 2*k - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**3 - 5*i**2 + i + 3. Let s = 359 + -348. Suppose -s = -6*m + 19. Give p(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*k = -1005816 - 13134. What are the prime factors of k?\nAnswer: 3, 6793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/5 of a litre?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -l**2 + 5 + 83*l**2 - 4 + 49*l**2 in the form d*l + o + h*l**2 and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 105319 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -227475 (base 8) to base 15.\nAnswer: -18004","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -18\/11 (b) -12 (c) -135 (d) 0.3 (e) -1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 124 divide 3915920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 55 and 7422.\nAnswer: 408210","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 0.0384, -96 in ascending order.\nAnswer: -96, -5, 0.0384","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -w**3 + w**2 + 1. Let y(t) = -3*t**3 + 4*t**2 + 2. Let v = 5 + 15. Let c = -22 + v. Calculate c*z(g) + y(g).\nAnswer: -g**3 + 2*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 100.999936 - 101. Round y to 6 dps.\nAnswer: -0.000064","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2130)\/(-945)*(-186)\/620 + (-1)\/(-5).\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 5*y = 3*g + 120, -80*g + 73*g = 5*y + 216 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620 is divided by 158.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 209.4 less than 0.3175?\nAnswer: -209.0825","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the first derivative of f**3 - 3*f**2\/2 - 2*f - 2. Let u be p(-2). Suppose a + 2 = 6. Solve 5*i - u = a for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*z + 5*h + 10, 30 = -4*z + 9*h + 74 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 31 - 31 - (1 + -6). Solve u*t + 87 - 62 = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 13866, 25532, 37200, 48870, 60542?\n\"Answer: x**2 + 11663*x + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -3*g - 6. Let p(h) = -8*h - 17. Determine -17*l(t) + 6*p(t).\nAnswer: 3*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -54 - -33. Suppose -n - 2*n = 3*c + 12, -5*c + 4*n + 25 = 0. Let k be (21\/2*2)\/(c\/(-1)). Do k and v have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*a + 12*a**2 - 12*a**2 - a**4 + (-a**2 + 5*a**2 - 2*a**2)*(a**2 - 4*a**2 + a**2) as q + c*a**3 + r*a + y*a**2 + j*a**4 and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1145 and 8?\nAnswer: 9160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 8*s**2 - 5*s + 5. Let o(j) be the third derivative of j**4 + 0*j - 4*j**3 - 13\/20*j**5 + 0 + 35*j**2. Determine -24*m(r) - 5*o(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 284 is divided by 29.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -44, -47, -50, -53?\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -369\/7 - -51. Which is smaller: x or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 0 + ((-2)\/(-8))\/((-15)\/(-12)). Let 1\/5 + 2\/5*j**3 + p*j**4 - 1\/5*j - 2\/5*j**2 - 1\/5*j**5 = 0. Calculate j.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes after 12:15 AM?\nAnswer: 5:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.4 + -0.3. Suppose -73*g = -68*g - 30. Suppose -20*v = -18*v + g. What is the closest to a in v, -0.5, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 2*a**2 - 5*a - 3. What is the smallest common multiple of n(4) and 33?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 4*m + 7*m = -4. Suppose l - 3*z = -7, -l + 5*z - 11 = l. Sort l, m, 1, -5 in decreasing order.\nAnswer: l, 1, m, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.037 and -5?\nAnswer: -0.185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 19775485 a multiple of 1640?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -2 (b) 1 (c) -0.5 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a gram in milligrams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 540 and 10140.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -13 - 42334221134?\nAnswer: -42334221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -34*l. Let h be k(11). Let i be 9\/(-11) + 1 + (-364956)\/h. Suppose 6*z - i = -2*z. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-10))\/((-15)\/20). Let g(b) = -b**2 + 1. Let a be g(1). Let o be a*(-1 - (-9)\/6). Which is bigger: t or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(70)*3 - (5*-3*sqrt(70) - sqrt(70) - sqrt(70)))\/(-3*sqrt(20)\/(-1*sqrt(8))).\nAnswer: -2*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3300708?\nAnswer: 2, 3, 275059","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 98676, 197354, 296016, 394644, 493220?\nAnswer: 591726","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 43 - 46. Let l(c) = c**2. Let q(u) = -2*u**2 - 4*u. Let t(g) = a*q(g) - 24*l(g). What is the second derivative of t(n) wrt n?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 308\/(1595440\/(-555))*-4*2.\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -410 + 428 - 3*u + 3*u**2 + u**3 - 16. Calculate z(-4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(187)*-3)\/(sqrt(11) + (1*sqrt(11) + sqrt(11))*-4).\nAnswer: 9*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -656 + 27*j - 194 - 26*j to r*j + i and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -25 (b) 1 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -314783415*p**2 - 797094*p - 2523\/5.\nAnswer: -3*(22905*p + 29)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 150981 - 150981 - 5603*i.\nAnswer: -5603*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4305947384?\nAnswer: 2, 538243423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 557 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1 + -1.1. Let g(s) = -s - 8. Let a be g(-8). Put c, a, 1\/4 in decreasing order.\nAnswer: 1\/4, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -7*v + 21. Give t(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -100, -4, 1, -1, -6 in increasing order.\nAnswer: -100, -6, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*k**2 + 3221 - 3250 + 4*k**2 + 391*k**3.\nAnswer: 391*k**3 - 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-120))\/((-64)\/80)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*n = 5*c - 85, n - 21421223*c + 75 = -21421227*c for n.\nAnswer: -55","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (5 - 4)\/((-17)\/17). Suppose 2*q - 4*y = 14, 19 = 2*q - 5*q - 2*y. Let w = 1 - 0. Sort i, w, 2, q.\nAnswer: q, i, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i + 2. Suppose -4 = -5*a - 2*h - 1, -5*a = -4*h + 21. Let t(w) = -7*w + 11. Let b(u) = a*t(u) + 5*z(u). What is b(-6)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 182?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/1607894 and 97\/16078940.\nAnswer: 16078940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 558 and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2744)\/sqrt(7) + sqrt(32)\/sqrt(144))*6*-2 + -2.\nAnswer: -172*sqrt(2) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 6*m - 43. Let h be l(4). Round h to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b + b + b**3)*((7*b - 4*b - b)*(7 + 4 + 15) + 2 - 2 + b).\nAnswer: 53*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 13040 and 140.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, o: 1, g: 4, c: 1}. Give prob of picking 2 o and 2 c.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -23, -27, -29, -29, -27, -23, -17?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -804*q. Let u(d) = -35*d. Give -6*c(p) + 136*u(p).\nAnswer: 64*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(1100) + 2)*-5)**2 + sqrt(33)\/sqrt(3)*-4*1 + 2.\nAnswer: 3996*sqrt(11) + 110402","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = k - 0*k - o + 2, -5*k = -2*o + 4. Let s be 8\/(-10) + k + (-51)\/5. Is s greater than -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 954 = -3829*i - 3765*i + 7488*i for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (6*-1*sqrt(343) - ((5 + sqrt(343))*-3 - sqrt(343))))**2.\nAnswer: -560*sqrt(7) + 1772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -63.5446557504 - 3\nAnswer: -66.5446557504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b. Let a(g) = -32667*g. Determine i(a(m)).\nAnswer: -326670*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = 5*p + 3. Suppose 3*x - p*x + 33 = 0. Does 11 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 2 - (3 + -30).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-20)\/(-4))\/((-1)\/2))\/2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (0\/(-17))\/((-3)\/3). Solve 0 + b = -3*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.1, -13.9, 0.04?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -19\/2, -1\/5, -4\/13, -50, -2\/5 in ascending order.\nAnswer: -50, -19\/2, -2\/5, -4\/13, -1\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p + 11. Let w(o) = 11*o**3 + 2*o**2 + 2*o. Let m be w(-1). Let t be g(m). Let u be -5*528\/180*(-9)\/2. What is the greatest common factor of t and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 7638.1 and 201?\nAnswer: 1535258.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -44*b*l**3 + 9*b*l**2 - 20*b - 10*l**2 - 393*l wrt l?\nAnswer: -264*b*l + 18*b - 20","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 148*a - 16 = -150*a, -12 = -4*m + a. Let l = 13 + -10. Let k = l - 3. Solve k = -m*g + 6 - 14 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -34a8a (base 14) in base 13?\nAnswer: -46529","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (6*50\/(-120))\/(10\/(-24))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((6 - 13) + 4)*1\/3*-10. Solve 3*d = 3*u - 2*d - 6, 4*d - o = -5*u for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 - 19*n**4 + 4*n**3 + 2 - 1 + 5 + 2 to t*n**3 + c*n**2 + m*n + a + x*n**4 and give x.\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 61, 84, 99, 106?\n\"Answer: -4*s**2 + 35*s + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 574 and -10760.\nAnswer: -6176240","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21397 - -21423.1735. Let b = 26.2 - c. What is b rounded to three decimal places?\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of -c**2\/2 - 5*c - 4. What are the prime factors of j(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(30)\/sqrt(6) + 1 - (sqrt(40)\/sqrt(2) + sqrt(5) + -5 + 2*sqrt(5) + sqrt(5) + sqrt(5) + sqrt(5)))**2.\nAnswer: -112*sqrt(5) + 309","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = 16267*k**3 + k**2 - 65*k + 190. Is q(3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -4*c - 10. Let z(o) = -2*o - 5. Let v = 32 + -39. Let r(y) = v*z(y) + 3*h(y). Calculate r(-6).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 8*p - 37. Let 3\/2*w**4 + p*w**3 + 9*w**2 + 3\/2 + 6*w = 0. What is w?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -43 - -41. Let n be 4*(-3 + 3 + r)\/(-2). Let g(q) = q**3 - 4*q**2 + q - 8. Let v be g(n). Which is the nearest to 2? (a) v (b) -3 (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 17 + 7. Let l be (q\/8)\/((-1)\/18). Suppose 3*o - l - 33 = 0. Is o a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 600 = -110. Does 34 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) be the second derivative of -1\/80*j**5 + 0*j**2 - 4*j + 0 + 1\/16*j**4 - 1\/12*j**3. Factor u(q).\nAnswer: -q*(q - 2)*(q - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3073? (a) -0.3 (b) -97\/3 (c) 17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzzzzzzzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3295*c*v**2 + 217*c*v - c + 156*v**2 - 4467*v wrt v.\nAnswer: -6590*c + 312","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 - -12213210?\nAnswer: 12213212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(117))**2 - (-4 + sqrt(39)\/sqrt(3))**2) + sqrt(104)\/sqrt(288) + (-1*sqrt(39)\/sqrt(3))**2.\nAnswer: 49*sqrt(13)\/6 + 686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(612) - (sqrt(612) + -2)**2) + -4 - sqrt(612))*-5.\nAnswer: -120*sqrt(17) + 3100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 1317376147 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 prob of picking 1 s and 1 f when two letters picked without replacement from ssllcfccccc?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -2*r - 45. Let y(m) = 42*m. Determine j(y(l)).\nAnswer: -84*l - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**3 + 69*q**2 + 1084*q + 90. Give t(-24).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 473*r + 13. Let z(i) = -14*i**2. Calculate x(z(l)).\nAnswer: -6622*l**2 + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nspazznzpssbbpbs. What is prob of sequence zbn?\nAnswer: 3\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -9820.75437 minus -10189?\nAnswer: 368.24563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 834 and 127001242.\nAnswer: 278","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 38937 is divided by 38638.\nAnswer: 299","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2*w - 56, -3*w - 4*x + 0*x = -67. Solve w = -6*p + 1 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 30 - 57. Is ((-6)\/j)\/(8\/(-40164)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*d - z + 123 - 115, 0 = -4*z + 16 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -2*b + 46, 2*b + 10 + 14 = 2*t. Solve -20 = -t*j + 5*j, 3*j = -4*x - 8 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 12*z + 18. Let d(l) = l**3 - 8*l**2 - l + 3. What is the tens digit of d(z)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 13b2 (base 12) to base 11\nAnswer: 17a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 minutes after 4:36 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 0.009 * 10\nAnswer: 0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.2537 to 2 dps.\nAnswer: 0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000028797 to seven dps.\nAnswer: 0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 - -18. Let z be (-950)\/i - 8\/36. Let b = 91 + z. What is the tens digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (7 + -2 - 0)*1*(3 + -2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i + 1. Let f be (-6)\/(-21) - (-18)\/(-14). Let j be b(f). Let x be 8 - 7 - (j - 1). Solve -3*v + 4*l - 19 = x, 0 = -3*v + 4*l - l - 15 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4470 divided by 447\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = s - 44, 4*o + 0*s = -s - 52. Let r be (-4)\/o + 2\/6. Let i = -70.8 - -71. Is i smaller than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y, 1 h, and 1 n when four letters picked without replacement from nhyhnhnhnnyhhnhhhnn?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -390.61 + -2.39. Let n = -392.999999731 - x. What is n rounded to seven dps?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (32\/(-10) - -1) + 2.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12478487 is divided by 31.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1612 and 5785841.\nAnswer: 5787453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**2 + 6*x - 1. Let d be u(5). Put 3, 1, d in ascending order.\nAnswer: 1, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 8*t**3 + 5*t**2 - 3*t + 3. Calculate the remainder when f(4) is divided by 28.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5293753000 to the nearest one million.\nAnswer: 5294000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9558 is divided by 9554.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:27 PM and 12:22 AM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out 37 * 76.\nAnswer: 2812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -2*t + 16, 2*t + 12 = -3*o - 2*o. Let q be (14 + 1)\/(((-13)\/78)\/((-1)\/(-9))). Put t, 2, -1, q in ascending order.\nAnswer: q, -1, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -2*z + z - 7, 0 = 18*z + h + 20. Which is the fourth biggest value? (a) 0.2 (b) 46 (c) z (d) -2.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**2\/4 - 659*p\/4 - 2925\/2.\nAnswer: -(p + 9)*(p + 650)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:03 PM and 12:31 AM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/(k*k**(-2\/7)))**(-8)\/(k*(k\/(k\/(k\/k**(2\/43)*k))*k)\/k*k*k*k**(-12\/11)*k))**47 assuming k is positive.\nAnswer: k**(-1112396\/3311)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -20, -34, -46, -56?\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 4:08 PM?\nAnswer: 1:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -2\/13 (b) 0.2 (c) -1\/2 (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16, -60, -144, -274, -456, -696, -1000?\nAnswer: -1374","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 6*w - 69, -365*t = -364*t + 4*w + 12 - 45 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -16143 or -16122?\nAnswer: -16122","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f - 6 = 2*b, -10 = -0*f - 2*f. Find the third derivative of -b*j**5 + 2*j**2 + 0*j**4 + 0*j**4 wrt j.\nAnswer: -120*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 436613448 and 816.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*k**3 + 6*k**3 + 0*k**3 - 1177*k**2 + 1177*k**2.\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -1182*y + 1588. Is g(-8) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 92fc (base 16) to base 13.\nAnswer: 14186","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -456*q**3*s + 127*q**3 + 27*q**2 + q - 75*s**4 wrt s.\nAnswer: -456*q**3 - 300*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*a**4 + 4 - 9 + 4 + (2*a**3 + 1 - 1)*(-2*a + 2*a - a) + 7*a**4 - 3*a**4 - 8*a**4.\nAnswer: -3*a**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 706*w**4 - 1953 with respect to w.\nAnswer: 2824*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 159396956?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) 7339 (c) 0 (d) -2\/7 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) be the second derivative of m**5\/15 - 5*m**4\/6 - 4*m**3 + 9*m**2\/2 + 8*m. Let i(v) be the first derivative of x(v). Solve i(w) = 0 for w.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - 20982?\nAnswer: -20984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 + 7*k - 14. Let r be s(-11). Suppose 5*o = -4*m - 17, -8*m = 4*o - 13*m + r. Sort -7, o, -2\/3.\nAnswer: -7, o, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -z**3 + 50*z**2 + 20*z - 177. What are the prime factors of n(50)?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -14 + 13.9. Suppose -3*o = 0, 4*a = -4*o + 5*o + 788. Let n = -1375\/7 + a. What is the second biggest value in 4, n, t?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79 - 150 + 3*o + 83 - 12 + o.\nAnswer: 4*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 652948097 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15753938.\nAnswer: 2, 7876969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0810969020553 plus 0.29?\nAnswer: 0.2089030979447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.2 - 1.2. Let a = 2\/17 + 24\/85. Let p = 0.115 + 0.885. What is the nearest to p in a, b, 5?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 1*-1 + (-4 - -6). Let g = 23.284 + -0.284. What is the biggest value in 2, d, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 21 and 24232779.\nAnswer: 169629453","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5\/993? (a) -106 (b) 1 (c) -2\/5 (d) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 8:53 PM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -27*j**2 - 5*j + 5. Let l be d(2). Let x = 119 + l. Let r be (x\/24)\/((15\/4)\/3). Put r, 4, 2, -1\/3 in descending order.\nAnswer: 4, 2, r, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -88 - -184. Suppose -5*g - 13 + 3 = 0. Let k be (g\/5)\/(3\/(-90)). Calculate the highest common factor of k and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/s**(-8))\/s**(-3\/4))\/((s\/s**(-4))\/s*s*s*s**1))**(-1\/7) assuming s is positive.\nAnswer: s**(-11\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 11, -110728, -1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fsb when three letters picked without replacement from fyfjjsjjbjbyjfjf.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 2\/9 - 56\/9. Let y be j\/12 + (-2199998)\/4. Round y to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f**2 - 17*f + 15. Let w(a) = -a + 1. Let c(n) = -d(n) + 3*w(n). Let r be c(14). Let j be (6\/3)\/(r\/(-78)). Which is bigger: j or 12?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -13*z**3 - 2*z**2 + 1. Let t be l(-1). Suppose 0 = t*b - 5*b + 14. Let p(u) = 3*u. What is p(b)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000033105 rounded to 7 decimal places?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/14966676 and -131\/36.\nAnswer: 14966676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - 1133?\nAnswer: -1320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.10635 - 0.05625. Let o = 374292 + -374249.7501. Let v = o + y. What is v rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 32 = -3*b, -b - 5*y + 28 = -1. Suppose -c = p + 170002, b*p + 3*c + 850006 = -p. What is p rounded to the nearest ten thousand?\nAnswer: -170000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -87.3, 0.2, -376, 1\/2?\nAnswer: -376","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 338*f**2 - f + 4*f**2 + f + 246*f**2.\nAnswer: 588*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 544916833 a multiple of 109?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 560, 960, 1358, 1754, 2148?\nAnswer: 2540","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2399742 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w**2 - w. Let u be 350\/(-15) - (-8)\/(-12). Let n be (u\/(-20))\/((-14)\/(-385)). Let j(c) = -44*c**2 - 33*c. What is n*s(d) - j(d)?\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 3 o when four letters picked without replacement from {q: 1, o: 9, i: 1}.\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3000)*2 + sqrt(3000))\/(sqrt(160) + sqrt(160)*1).\nAnswer: 15*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the second derivative of v**7\/1260 - v**6\/270 - v**5\/180 + v**4\/18 + 17*v**3\/6 + 4*v. Let m(a) be the second derivative of c(a). Factor m(p).\nAnswer: 2*(p - 2)*(p - 1)*(p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 100*s*z**3 - 2*s*z + 585*s - 4*z**4 - 1 wrt z.\nAnswer: 300*s*z**2 - 2*s - 16*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 26 + -24. Let b(c) = 1. Let l(j) = j**2 + 2*j. Let n(h) = h**2 + h + 1. Let d(g) = -2*l(g) + 3*n(g). Give w*b(y) - d(y).\nAnswer: -y**2 + y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 4206*n*s**3 - 2*n*s**2 - 10*n*s - 2*n - 32*s - 1 wrt s?\nAnswer: 25236*n*s - 4*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1429*q**3*s**3 + 1634*q**3 + s**3 - s**2 wrt s?\nAnswer: 8574*q**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + 4 = 4*g. Suppose -g*n = -306 + 70. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 794462 a multiple of 326?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5530198?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4186 or -1?\nAnswer: -4186","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.9227 to 1 decimal place.\nAnswer: 3.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*o - 4*t - 12, 5*o - t - 2 = 1. Let c(a) = -a**2 - a + 2. Let u be c(2). Let z = u + 4. Is z at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 + -2. Suppose 2*h - 3*h + 2 = f. Suppose -3*p + h*z + 69002 = z, -4*p + 92004 = -2*z. Round p to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5 - 19568.\nAnswer: -19563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27517 and 91?\nAnswer: 357721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -16.5564557 and 0.5?\nAnswer: -8.27822785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/75)\/((-2)\/20) + 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -118575199300 to the nearest 1000000.\nAnswer: -118575000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 9685924631 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-32))\/((-18)\/(-24)) + 1\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 188 = 2*c + 2*c, -c = -5*v + 247. Suppose -7*f + 386 = 4*n - 5*f, -2*f = 2*n - 194. Calculate the remainder when n is divided by v.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -52*j**3 - 1. Let c(i) = -i**3 + 5*i**2 + 7*i - 7. Suppose 2*w - 3*b = 24, 0*w = 2*w + 3*b. Let o be c(w). Is s(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 342296479 to the nearest integer?\nAnswer: 18501","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 + 691*f**4 - 21*f**3 - 187172*f**2 + 2*f wrt f.\nAnswer: -240*f**3 + 16584*f - 126","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 14*p**2 - 4*p + 3. What is the tens digit of a(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166988 divided by 218?\nAnswer: 766","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c**3 - c**2 - c + 5. Let i be (2 + (-15)\/6)*12. Is a(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5282540?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/15 - (-1914)\/(-145)) + (12 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*i**3 + 612*i**3 + 426*i**3.\nAnswer: 1038*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) be the first derivative of u**6\/360 + u**5\/40 + u**4\/6 - 4*u**3\/3 + 2. Let i(q) be the third derivative of s(q). What is the units digit of i(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 881 to the power of 1\/2, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 + (2 - 137))*(-2547)\/18. Suppose a = 3*h - 8039. What is h rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/2, 2, -25.1, -2917, 3 in increasing order.\nAnswer: -2917, -25.1, 1\/2, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do -5544 and -2835 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 7403202?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose -5*b - 505 = 5*u, u - g*u = 2*b + 102. Let i be 2\/3 - u\/12. Solve 5*k - i = -4*v, -v + 2 = k - 0*k for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*x + 12*x - 34*x = -540 for x.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4965 and 33011292.\nAnswer: 993","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ezzzezeezzeze. Give prob of sequence ezz.\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2502)\/(-4))\/(-9)*(26 + 0). Let q = -976 - j. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2114 by -5.\nAnswer: -2114\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.05619 (b) -1 (c) -0.5 (d) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1103001 - -13?\nAnswer: 1103020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42*m - 10*m = -104. Suppose 0 = 3*n + 4*g - 25, -6*n + m*n + 40 = 4*g. Solve -7*t = n + 6 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of v**5 - 814*v**4 + 59*v**3 + 505*v**2 + v - 44?\nAnswer: 60*v**2 - 19536*v + 354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = -3*z + 2*t - 3, 4*z - 2*t + 28 = -30*t + 12*t + 4*t for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 + 32 = -4*s for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*q - 5*j + 7, -j + 5 = 2*q - 14. Solve 5*f - q = r + 13, 0 = 4*f - 16 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -781*j - 724*j + 462*j + 68838 for j.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**5\/3 - 10730*p**4\/3 - 149828*p**3\/3.\nAnswer: -2*p**3*(p + 14)*(p + 5351)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 111223.\nAnswer: 7, 15889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93741019 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 6:19 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - 1 - (7 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 638 and 677266?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2263, -1404, -545, 314?\n\"Answer: 859*f - 3122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2 - sqrt(102))\/sqrt(6) + -5 - (3 + -3 + sqrt(17)*4).\nAnswer: -7*sqrt(17) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*y**5 + 45*y**4 + 320*y**3 + 440*y**2 - 240*y - 560.\nAnswer: -5*(y - 14)*(y - 1)*(y + 2)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, o: 7}. Give prob of sequence zooo.\nAnswer: 35\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 225 and -0.76692?\nAnswer: 225.76692","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 15*n - 629. Let z be d(42). Let t = 6 - -5. What is the highest common divisor of z and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = -3*q - 1 - 2, 5 = -u + 3*q. Let v be 0*2\/u*-1. Solve v*t = t - 5 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 36562978?\nAnswer: 2, 18281489","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + 1 + ((-1*sqrt(1100) + sqrt(1100) - sqrt(1100)) + sqrt(1100) + -4 - (sqrt(1100) + 2 + sqrt(1100) + -1))**2.\nAnswer: 200*sqrt(11) + 4426","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*3296\nAnswer: -1648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 1\/4 of a year?\nAnswer: 3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3928 divided by 10.\nAnswer: 1964\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:03 AM and 9:35 AM?\nAnswer: 572","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*o = -10*o + 3*l - 3, 2*o - 2 = -2*l for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {u: 2, z: 3}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 635 = 627 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -1082*l + 438*l - 422*l as q*l + x and give q.\nAnswer: -1066","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -97, -96, -95, -94?\n\"Answer: w - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5724 + 3222 = -330*t + 5088 for t.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2864 and 656.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - 2*v**2 + 6*v - 1. Suppose 2*q = d - 2*q, -5*q + 13 = 2*d. Calculate r(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 3*c. Let l(d) = 12641*d**2. Determine x(l(r)).\nAnswer: 37923*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 275 + -1928\/7. What is the nearest to 0.2 in -0.5, j, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 1, u: 1, c: 2, l: 1}. What is prob of sequence clo?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 590.151.\nAnswer: 7081.812","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = 2*c. Let g = -3 - -5. Let u(x) = x**2 + 1. Let a(q) = 1. Let v = -286 + 284. Let i(w) = g*a(w) + v*u(w). What is i(b(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/51, -11\/17, 1\/7, 2\/11, -0.3 in descending order.\nAnswer: 2\/11, 1\/7, -2\/51, -0.3, -11\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 - 5. Suppose -3*s = 2*b - 10, k*b - 5*b + 2 = 0. Suppose s*t - 5 + 1 = 0. Solve f + 2*f = t*c - 6, 5*f - 4*c + 10 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 600*i + 603*i - 1813*i - 24 + 616*i.\nAnswer: 6*i - 24","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6 and (42\/7 + -5)*1027 + (9 - 10).\nAnswer: 1026","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*((-4)\/1 + (-51 - -18)). Is 31 a factor of (-37)\/v - (1 + (-561)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 + -3. Let w = 2.1 - 2. Let h = -6 - -5. Which is the nearest to w? (a) h (b) -2\/11 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71 a factor of 426?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l - 7. Let d = 1 + -5. Let v(y) = y + 6. Give d*w(m) - 5*v(m).\nAnswer: -m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -0.09 (b) -7 (c) -1428\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 23, 35, 61, 107, 179, 283, 425?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1584)\/(-220))\/(12\/(-15))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -155*m = -353*m + 1583 + 1. Let x(t) = -t**2 + 16*t - 70. Give x(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49.74984 decades in months?\nAnswer: 5969.9808","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the third derivative of -d**9\/1260 - 7*d**5\/120 - 5*d**4\/24 + 5*d**2. Let n(z) be the second derivative of j(z). Differentiate n(t) wrt t.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 333766*-11\nAnswer: -3671426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/21906 and -73\/109530.\nAnswer: 109530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xxx when three letters picked without replacement from {i: 8, k: 3, q: 1, x: 3, m: 4}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 45\/8 of a millimeter?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (7\/14 + (-1)\/2)\/1. Suppose -2*f + g + 4*g = c, 5*f = -2*g. Suppose 5*x - h + 594 = f, x + 134 = -0*x + 4*h. Round x to the nearest 10.\nAnswer: -120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*g - 71*f + 83 = -2*g + 52, f - 1 = 0 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = b**2 - 6*b + 7. Let a = 12 - -2. What is the smallest common multiple of c(7) and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from aawawfwawsaaaavvawaw. Give prob of sequence wwv.\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-21)\/(-14) - ((-470)\/4)\/5. Let b(c) = 10*c**2 + 17*c**2 - p*c**2. Let w(h) be the first derivative of 11*h**3\/3 + 8. What is w(b(g))?\nAnswer: 44*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-648)\/(-156) - (-2)\/(-13)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9556 is divided by 30.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/3 (b) 133 (c) 0.093 (d) 78\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25 and 1728094?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 160 is divided by 21?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*t**3 - 33*t**3 + 2245*t + 19*t**2 - 2247*t + 2 in the form g*t**3 + j*t + l + d*t**2 and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(1*sqrt(84) - sqrt(84)) + sqrt(84))\/sqrt(12).\nAnswer: sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4990 and 5.\nAnswer: 4990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 2*a**2 - 5*a + 2. Let n be i(3). Let c be 2*(4 - 10\/4). Suppose 538 = 2*x - n*l, 3*x - l = c*l + 807. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4\/3 - 2\/3*b**5 + 10\/3*b - 8\/3*b**3 - 8\/3*b**4 + 4\/3*b**2 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -4*h**2 - 14. Let c(x) = 17*x - 17*x - 2*x**2 + x**2 - 3. Determine 14*c(p) - 3*y(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2\/441 - 4243\/4410. Calculate the common denominator of w and 137\/24.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (72\/66)\/(-6) - 12\/55?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 1 = 5*m - 41, m + 5*v - 18 = 0. What is the least common multiple of m and ((-220)\/(-11))\/(4\/2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) be the first derivative of z**5\/20 + 5*z**4\/12 + z**3\/2 + z**2 + 5*z - 9. Let c(v) be the first derivative of h(v). Give c(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1010 + -1?\nAnswer: 1002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 76 times -7923\nAnswer: -602148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 3*a. Let l = 4 + -2. Suppose -l*o = o. Let z(b) = -2*b + o + 0 + 0. What is y(z(m))?\nAnswer: -6*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 + 2 - 280\/(-8))\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 5*y + 3. Let o(a) = -10*a - 5. Suppose -11*c + 5 = -8*c - 5*n, -3*n - 32 = 4*c. Calculate c*m(i) - 3*o(i).\nAnswer: 5*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 405968?\nAnswer: 2, 25373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2*((-286)\/(-33) - -3) and (-537)\/36 - (-10)\/15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 636\/(-8)*(1 + -3). Suppose 39 = -3*z + x. Calculate the highest common factor of z and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83 = 4*z + 217*r - 224*r, 2*z - 1 = -r for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 373865?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10000?\nAnswer: 1010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of g**3*v**3 + 79*g**3*v - 1581*g**3 + 2*g**2*v**3 + 13*g**2*v**2 - 2*g**2*v - 129*v**3 wrt g?\nAnswer: 6*v**3 + 474*v - 9486","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n**4\/4 - 3855*n**3\/4 - 554211*n**2\/2 + 21341199*n - 41566254 = 0.\nAnswer: -674, 2, 61","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 13 and 11?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*x + 8. Let r be 0\/((-3)\/(x - 6)). Factor 0 + r*q - 1\/3*q**2 - 1\/3*q**3.\nAnswer: -q**2*(q + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.9 + -7. What is p rounded to one dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**2*w)**(2\/29))**5*(w*(w*((w*w**(1\/7))\/w)\/w*w)\/w)\/(w\/(w*w*w\/(w\/(w\/(w\/w**(-2\/5)))*w*w*w)))*(w**(-2\/3))**(-2\/43) assuming w is positive.\nAnswer: w**(-5536\/4515)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7059 is divided by 209?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 22.4 + -24.1. Which is the closest to 5? (a) 5 (b) -2 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 77057 - 77025. Let w = -71 + 119. Suppose 0*q + q = w. What is the greatest common divisor of t and q?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**3 - 7*f**2 + 7*f - 4. Let b = -13 - -5. Does 4 divide a(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -0*h - 2*h + u, 15 = -5*u. Let p be 9\/2*(-4)\/6. What is the tens digit of p\/(-1 - h\/8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the second derivative of r**7\/3780 + r**6\/810 + r**5\/540 - 19*r**3\/6 - 16*r. Let g(h) be the second derivative of z(h). Factor g(x).\nAnswer: 2*x*(x + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 0 + 2454 + 4 + 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 3*h**3 + 1 + h**3 + (-5*h + 5*h + h)*(h**2 - 3*h + 3*h) + 151*h - 151*h - 7*h**3 + 5*h**3 + 0*h**3 - 4*h**3.\nAnswer: -3*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 547352?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -75*d**4 + 11*d**4 - 6*d**4 + (-14*d**3 + 251*d - 251*d)*(-9*d + 3 + 12*d - 7*d) to the form k*d + v + r*d**3 + n*d**2 + a*d**4 and give r.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 255 and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2296 by -1.\nAnswer: 2296","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g + g**2 + 2*g)*(-2*g + 4*g + 0*g + (-3*g - 3*g + 4*g)*(-1 + 4 - 1) + 2*g - 2*g - 2*g - 3*g - g + 2*g).\nAnswer: -6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 2887270780.3.\nAnswer: 2887270780.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70, -80, -102, -142, -206, -300, -430, -602?\nAnswer: -822","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g**5 - 4*g + 4*g + (-g**2 + g**3 + g**2)*(-2 + 2 + 2*g**2) + g**5 - 4*g**4 + 4*g**4 - 2*g - 32*g**5 + 17*g**5 + 21*g**5.\nAnswer: 7*g**5 - 2*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13212 is divided by 124.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 divided by 1?\nAnswer: 298","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -184.8 + 171. Let m = 80 - 66. Let c = m + q. Put -0.03, -0.1, c in descending order.\nAnswer: c, -0.03, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 4935 = -3*u, -4950 = -3*u - 3*o + 2*o. Is u composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 126814443 and 105.\nAnswer: 634072215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Do -1 and -611\/8709 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -t, 5*x + 5*t = 5*x. Suppose x = -38*n - 341 + 75. Which is smaller: -71\/12 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of -517*k**4\/4 - 31*k**3\/6 - k**2\/2 + 1995*k. What is the second derivative of p(q) wrt q?\nAnswer: -3102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 481069.5 weeks?\nAnswer: 290950833600000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2435325.\nAnswer: 3, 5, 19, 1709","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**3 + 4*t**2 + 48*t + 69. Let h(m) = m**2 + 13*m + 8. Let n be h(-10). Is i(n) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -84 - 564 = -8*m. What is the units digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 - 57 = 3*y. Let s(c) = c**2 + 15*c + 2. Let m be s(y). Suppose 4*a + a - 6 = -m*o, -2*a - o + 2 = 0. What is the greatest common factor of a and 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 - (-3 - 128\/(-12)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 15) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 180.9 - 4\nAnswer: 176.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/303496681 or 0?\nAnswer: 4\/303496681","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -1614 * 276\nAnswer: -445464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1162, -4537, -10168, -18061, -28222, -40657, -55372, -72373?\nAnswer: -91666","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-60)\/((6732\/(-255))\/11).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -5*(3 + 0) + 0. Let t = a + 9. Let o = 27 - t. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 1584*s - 132. Let x(v) = 1. Determine -m(r) - 132*x(r).\nAnswer: -1584*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 times 0.06?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1679 or -88?\nAnswer: -1679","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -4*l**2 + 314*l - 498. What is h(77)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/21 of a week in minutes?\nAnswer: 1920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 422 + 36 = -5*v, 0 = 3*v - 4*c - 249. What is the remainder when 461 is divided by v?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 248 and 19964.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 3 - 2. Let m = 5 + v. Suppose -2*y - 160 = -m*y. What is the remainder when y is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 9*c**2 - 8*c**2 - 7*c - 7*c + 15. Let y be v(13). Find the second derivative of y*j - 6*j**5 + j + 0*j + 3*j**5 wrt j.\nAnswer: -60*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -1 + (80 - 1 - -3). Let q = g + -60. Is 22 greater than q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 299*w - 9797. What is x(21)?\nAnswer: -3518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7547908?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2, -7, -16, -25?\n\"Answer: -9*m + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a**3 - a**3 - 2*a**3.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 0*c = -2*c + 4, 3*y - 3*c + 6 = 0. Let n(k) be the second derivative of 1\/20*k**5 - 1\/6*k**4 + y + 1\/6*k**3 + 0*k**2 - 3*k. Factor n(i).\nAnswer: i*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 109 + -108. Suppose -93 = -24*x + 3. Solve -x*j + 5 = d for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5\/123 - 227\/8610. Which is the third smallest value? (a) 3 (b) -1 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-16)\/(((-1780)\/(-8544))\/(45\/48)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 931764 divided by -6.\nAnswer: -155294","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 92623 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 2*l**3 + 12*l**2 - 13*l - 39. Calculate x(-7).\nAnswer: -46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -3084752 divided by -35054\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(66) - (sqrt(66) - 2*sqrt(66)))\/sqrt(2))\/(sqrt(33)\/sqrt(44)) + -1.\nAnswer: -1 + 4*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 7139*j**3*n**4 + 1621*j**3*n**2 + 88*j**3 + 841*n**4 + n**2 wrt n.\nAnswer: 171336*j**3*n + 20184*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*o**4 - 7*o**4 - o**4)*(240 + 145 - 108).\nAnswer: -831*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (74 + 95 - 17)*(3*j + 0*j - 6*j)*(2 + 2*j - 2).\nAnswer: -912*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -144051574 and -5045?\nAnswer: 144046529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/((-4)\/5)*33*(-56)\/(-78540).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -741.2 + 741. What is the nearest to 1 in -21, 5, -4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*r**2 - 13 + 13)*(4 - r - 4) + 0*r**3 - r**3 - r**3.\nAnswer: -8*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3.3 and -666340?\nAnswer: 666336.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 12*i - 1. Let b(t) = 2*t - 10. Calculate b(o(x)).\nAnswer: 24*x - 12","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Let q = 16 - 11. What are the prime factors of 24*(-1 - q\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 309 and 26097?\nAnswer: 2687991","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 3\/(-1*(-9)\/15). Solve -x = -2*k + g, 6 = 3*k - x - 4 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the first derivative of -19*l**2\/2 - 2382. Let q(f) = -77*f**2. What is m(q(n))?\nAnswer: 1463*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out 91 * 31.\nAnswer: 2821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 312 - 312 + 42833*m**3.\nAnswer: 42833*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -p**5\/15 + 390*p**2. Let s(b) = 26*b**2. Determine s(n(k)).\nAnswer: 416*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000006563 to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(-28)*i**(-2\/5) assuming i is positive.\nAnswer: i**(-142\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-15)*25\/(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of 6*s**5\/5 - 35*s**4\/6 + 34*s**3\/3 - 11*s**2 + s - 440. What is q in y(q) = 0?\nAnswer: 11\/12, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 12\/25 of a kilometer?\nAnswer: 48000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*40\/(-4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f*f*f**12)\/f*(f*f\/((f*f*(f\/(f*f**(-3\/11)\/f))\/f)\/f))\/f*f)\/(f*f**(-4)*f)**(3\/28))**(-2))**34 assuming f is positive.\nAnswer: f**(-72998\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -3*q + 6, -q = -5*n - 11 - 3. Solve d - 8*h = -4*h - 3, -q*d = h - 5 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -2 + 0\/5 - 2*-121. What is the greatest common factor of 30 and j?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 4*f + 1 = -3, -5*u = 5*f + 5. Let c(g) = 38*g**3 - 1. Let m be c(1). Suppose -3*o + 2*o + m = u. Is 17 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = a**2 - 1. Let t(m) = 5*m**2 + 2*m - 1. Let w be (-11 + 16)\/((-9)\/((-126)\/(-35))). Calculate w*s(b) + t(b).\nAnswer: 3*b**2 + 2*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: f6083 (base 16) to base 8\nAnswer: 3660203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 17*u - 95. Let n be y(9). Suppose 3*v + 61 - n = 0. Is v equal to -4\/131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 16352153*l**2 + 764*l - 748 wrt l?\nAnswer: 32704306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjjp when four letters picked without replacement from {p: 7, q: 7, j: 5}.\nAnswer: 35\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -418.8 + 453. Let g = -34.200998 + x. Round g to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -427, -785, -1177, -1603, -2063?\n\"Answer: -17*y**2 - 307*y - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 6485064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 20 and 505.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 415207571 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 95 and 304.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 126485?\nAnswer: 5, 41, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -13.617 + 3019.717. Let d = 3723 - l. What is d rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9743 - 8565 = -62*c for c.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 + -2. Let u be 4*(4 - 2706\/8). Let r be u\/(-28) + 1\/4. Calculate the greatest common divisor of r and n.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (4 - 5) + (2 - -846). Calculate the highest common factor of b and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 25?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 286 - 276. Let r be (-88)\/12 - (-3)\/9. Let f = r + z. Solve -4*j = -2*p - 22, -4*j + f*p = 7*p + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 98*x + 1538 - 213 = 73*x for x.\nAnswer: -53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -1 - (4 - -2 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -3009175.\nAnswer: 2\/3009175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(-5 + sqrt(2448) - sqrt(2448))*-1 + 4 + 3 + 1*sqrt(2448))**2.\nAnswer: -72*sqrt(17) + 2457","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s**3 + 4*s. Let k be h(-2). Suppose 0*p + 2*p - 424 = k. List the prime factors of p.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-15*z**2 + 11*z - 11*z)*(3 + 3 - 4)*(0*z + 0*z - 2*z) in the form a + b*z + u*z**2 + n*z**3 and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2112112 (base 3) to base 15.\nAnswer: 835","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1257 is divided by 627.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppbphbghggrbqr. Give prob of picking 2 r and 2 b.\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -406*r = -5796 - 1020 + 320 for r.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4647*s - 5154*s - 7786*s to y*s + z and give y.\nAnswer: -8293","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -144417 by -161.\nAnswer: 897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-3 - (-8)\/1)*(-6)\/(-6). Let m be o + (1 - -2)*-1. Solve 3*u - 5*f = -20, m*u = u - 2*f - 3 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**(-1\/8)\/z**(1\/12)*(z\/z**(-12))\/(z**(1\/2)\/z) assuming z is positive.\nAnswer: z**(319\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4525 - -3823. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1246853100 rounded to the nearest 1000000?\nAnswer: -1247000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -280086 - -0.03?\nAnswer: -280085.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -79620.77 rounded to the nearest 10000?\nAnswer: -80000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 + 9*p**2 - 6*p - 11. Let i be b(8). Suppose 5*l + n - 233 = -n, i*n = l - 52. Suppose -y + l = 12. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*c + 24. Let i(d) = -d**2 - 16*d + 1228. Let t be i(28). Let v be -2*((-12)\/c)\/(t\/(-15)). Let h(o) = o + 4. Calculate h(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1 - 0. Let m = 0.046 - -0.002. Let r = -0.152 - m. What is the nearest to r in 0.3, 5, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (3*(-6)\/(-19))\/((-144)\/(-27)) and -33\/76.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 19*x**2. Let o be (-8)\/(-12)*(-1 + 3 + 1). Let l(h) = -8*h**2 - 2*h**2 - 7*h**2 + 13*h**o. What is j(l(u))?\nAnswer: 304*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -534 + 627. Is p a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -4, 4*d - 3*r = 4 - 0. Let w be -94*2\/8*d. Suppose -2*c + c = -w. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -168672187 divided by -6.\nAnswer: 168672187\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -j**3 + 16*j**2 - 12*j - 42. Let f be v(15). Solve f*k = 7*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*(36 + -29 + (-69)\/10)\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (15\/6)\/5 - (-3036)\/264 and 215\/3 + 1\/3?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-12)\/(-10))\/(970\/(-26675))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) be the second derivative of 0 + 1\/6*c**3 - c - 2*c**2. Let q be z(6). Solve 0 = i - q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 0 + 2 - (-4)\/(-6))\/((-1005684)\/(-134258814)).\nAnswer: 89\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (k + 0*k + k)*(0*k + k**3 + 0*k) + 1279*k + 240*k**4 - 1279*k + 28*k**4 to m + w*k**3 + c*k**4 + q*k**2 + s*k and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 - 4*y**2 - 4*y - 2. Let g be r(-2). Let x = g + 20. Solve -d + x = -0 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 1 - (-72 - -69).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -r**3\/6 + 436*r**2\/3 - 2589*r\/2.\nAnswer: -r*(r - 863)*(r - 9)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -11\/390465 and 89\/7800.\nAnswer: 203041800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/(1 - (-30)\/(-21)). Sort -1, r, 1 in increasing order.\nAnswer: r, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 159 + -267. Let h = -58 - s. Is h a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 20 = -2*c, -4*c + 2 = -a + 7. Suppose -a*v + 14 + 1 = 0. Suppose 5*i + 4*n - 91 = 0, 4*n - 56 = -v*i + 5. Is i composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*x**3\/11 - 282*x**2\/11 + 3066*x\/11 - 882.\nAnswer: 6*(x - 33)*(x - 7)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*u + 5*w + 20, -4*w = u - 2*w + 2. Suppose k = 4*s - 8, -s = k - u*s - 1. What is the remainder when 6 is divided by k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1643 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h = q + 1, h + q = 3*q - 7. Let s = -0.04 - -0.02. Which is the nearest to s? (a) -3 (b) -0.5 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 4*b + 3320 = -6*b, 4*u - 6*b - 4440 = 0. List the prime factors of u.\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3826 - 3830. Which is the nearest to -3? (a) -2\/11 (b) 2\/5 (c) g (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1970670 and 28210?\nAnswer: 13794690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 211, 928, 2111, 3754, 5851, 8396?\nAnswer: 11383","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -34*r = -g - 29*r + 855, 0 = 3*g - 5*r - 2555. What is the highest common factor of g and 300?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -106, -332, -680, -1144, -1718, -2396, -3172, -4040?\n\"Answer: n**3 - 67*n**2 - 32*n - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = u**3 - 5 + 4 + 4*u - 4*u - u. What is f(-2)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.3 and -11559050.\nAnswer: -11559049.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j*j*j**(-2\/21))**28 assuming j is positive.\nAnswer: j**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 * 0.69.\nAnswer: 1.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -6 - 1?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1600235?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -1199.4*-3\nAnswer: 3598.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 AM and 7:03 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**1*x)**(2\/15)\/(x**0)**(4\/29))\/((((x*x**(-6)*x)\/x)\/x**(-4\/3))\/(x**(-3\/2)*x\/x**(-4))) assuming x is positive.\nAnswer: x**(223\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-9)\/(-21))\/(9\/6). Sort 0.2, n, -0.3, 2\/17 in increasing order.\nAnswer: -0.3, 2\/17, 0.2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 + -391596685\nAnswer: -391596671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5757.451t?\nAnswer: 5757451000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11267 is divided by 7473.\nAnswer: 3794","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/9 - 1546*j - 13912\/9.\nAnswer: -2*(j + 1)*(j + 6956)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 104 is divided by 1*(9\/(-21) - 3200\/(-35))?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 598?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/5, -0.3, -2\/5, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4\/123 in -0.5, 0.0679, 2\/9?\nAnswer: 0.0679","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.247 minus 0.108144086?\nAnswer: -0.355144086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -13003 (base 4) to base 3\nAnswer: -121201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 2*o**2 + 4*o + 3. Give r(5).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -15728177 and -326125?\nAnswer: 15402052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.0242966 to 1 dp.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -3.473716 rounded to two decimal places?\nAnswer: -3.47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*d + 2*d**2 + 8 + 2*d - 6 - 2 + 1 as j + y*d + x*d**2 and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(63)\/sqrt(3))\/sqrt(3) - (sqrt(49)*-1 + sqrt(49))\/sqrt(7))**2.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -18 + 30 + p**2 + 0*p**2 + 4*p - 5*p - 21. What is q(4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -y - 7 - 6. Let n be 3\/(-9)*(y - -1). Find the second derivative of -4*z**4 - 3*z**n + z + 3*z wrt z.\nAnswer: -84*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + n - 2*n**3)*(3*n**2 + 2*n**2 - 7*n**2) + (-n**5 - 7*n**4 + 9*n**4 + 0*n**5)*(-7 + 7 - 3) + 2*n**2 - n**5 - 2*n**2.\nAnswer: 6*n**5 - 6*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10230120833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from queeyyuz. What is prob of picking 2 e, 1 y, and 1 q?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8424 is divided by 840?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = 20*n**2 - 10*n + 5. Let y(i) = 19*i**2 - 8*i + 4. Let t(o) = 4*h(o) - 5*y(o). Let k(m) = -9*m. Give t(k(p)).\nAnswer: -1215*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 9 = -1. Let l = 8 + i. Solve 0 = -0*m - l*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4301430 (base 5) to base 7\nAnswer: -420151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -7*b**2 + 14*b + 1. Let k(o) = -9*o**2 + 14*o - 1. Let t(y) = -3*k(y) + 4*v(y). Determine t(14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 22328?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 4 + 2b9?\nAnswer: 2bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-1 - 3)*(-2)\/2. Let m(r) be the first derivative of 0*r**p - 1 + 1\/3*r**3 + 0*r + 0*r**2 - 1\/8*r**6 - 7\/20*r**5. Let m(x) = 0. Calculate x.\nAnswer: -2, -1, 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2120000222 (base 3) in base 13?\nAnswer: 19ba4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11802*g**3 - 1 + 1 + 37688*g**3 - 140704*g**3.\nAnswer: -114818*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26642999 divided by -3.\nAnswer: -26642999\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, 4, 169 in descending order.\nAnswer: 169, 4, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/30 + 1)*(-1 - -1). Suppose -3*h + 2*g = -4 - t, -4*g = 5*h - 36. Which is the nearest to 2\/7? (a) 1\/4 (b) -0.4 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1111 (base 6) to base 2.\nAnswer: -100000011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 65754.21m to nanometers.\nAnswer: 65754210000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.28 * 1\nAnswer: 0.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -9.525 + 0.315. Let t = 7.21 + r. Let i = -10\/9 + 4\/9. Which is the third biggest value? (a) t (b) i (c) 5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 35 is divided by (-8)\/(-6) + (-250)\/(-15)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2232982 to the nearest integer?\nAnswer: 131","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -47290, -47291, -47292, -47293, -47294?\nAnswer: -47295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9953979 or -9953977?\nAnswer: -9953979","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -546340*j**4 - 104*j - 153897711 wrt j.\nAnswer: -2185360*j**3 - 104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -28.7 - -28.6999964. Round p to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.1 + -0.1. Let b = -179 + 183. Sort b, 2, j in decreasing order.\nAnswer: b, 2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44243 to the nearest integer?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -5184.03 - -5184. What is the closest to f in 0.8, 1\/9, 0.1, -2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14637116 and 1166.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 83930 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j + 4*j - 22*j**2 + 20*j**2)*(-j + 2*j - 2*j)*(216 - 32 - 70).\nAnswer: 228*j**3 - 342*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -4 + 8. Let p = 0.06 + -6.06. Let m = p + 5. Sort 5, c, m in descending order.\nAnswer: 5, c, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a4870 + 1?\nAnswer: -8a486a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/((p\/((((p**9*p)\/p)\/p)\/p))\/p)*p*p**(-1\/9)\/p*p)**(11\/8))**(-14\/5) assuming p is positive.\nAnswer: p**(-308\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 divided by 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in 1, -4\/7, -0.4, -10.9?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*s**2 - 52748*s + 263690.\nAnswer: 2*(s - 26369)*(s - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0164 to 3 dps.\nAnswer: -0.016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3 - (5 + -3))\/(0 - -1). What are the prime factors of (28\/(-6) + 5)\/(f\/1758)?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3*3*14\/(-9). Let w = r - -11. What is the remainder when 2 - w*(-3 - -5) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2736) + ((sqrt(2736) - (sqrt(2736) + sqrt(2736) + 3 + sqrt(2736))) + sqrt(2736))*1 - 3*(-3 + sqrt(2736))) + 5)**2.\nAnswer: -792*sqrt(19) + 24745","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(1\/2))**(2\/11)\/(y**(-7\/3)*y\/(y*y\/(y\/(y*y*y**(-3\/10))))))**(-21\/5) assuming y is positive.\nAnswer: y**(-9527\/550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 23*h**3 - 329*h**2 - 385*h + 6683. What is i(14)?\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4714 is divided by 121?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Let h = 127 - 115. What is the remainder when h is divided by f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 303976 by 6.\nAnswer: 151988\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = -0*r - 2*r - 2*x, 2*r - 2*x + 24 = 0. Is (158*(-5)\/r)\/((-1)\/(-3)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -394*z**2 - 5*z - 5. Let l(q) = -136710*q**2 - 1736*q - 1736. Let p(r) = 5*l(r) - 1736*s(r). Let k(o) = 7*o**2. Give p(k(c)).\nAnswer: 21266*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4684 and 54764?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -517 - -1035\/2. Let l be 0 + -1 + 3\/(-9). What is the third smallest value in l, -1\/6, u, -0.4?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -940, -1093, -1354, -1729, -2224, -2845?\n\"Answer: -b**3 - 48*b**2 - 2*b - 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 7 + 14)*(-f**2 + 1 - 1) - f**2 - 3*f**2 + 5*f**2.\nAnswer: 5*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 12*r**2 - 65*r + 98. Is 13 a factor of y(12)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v and 1 d when two letters picked without replacement from {f: 3, v: 2, e: 2, d: 8}?\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 330246?\nAnswer: 2, 3, 7, 2621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 142 + -73b?\nAnswer: -5b9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -3*q - 6. Let h be c(-3). Suppose 52 = -h*n - 0*y - 5*y, 0 = 3*n + y + 32. Let d(o) = -14*o - 5. What are the prime factors of d(n)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3525, -3523, -3521?\n\"Answer: 2*m - 3527","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(24\/(-18)) - -28. Solve 0*q = -5*q - n for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*i - i + i)*(5*i**4 - 4*i**4 + 6*i**4).\nAnswer: -35*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/((-42)\/(-20))*(-9)\/6?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-6 + (-6 - -11))\/(2*(-2)\/184). What is the highest common factor of q and 736?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*k - 2*k - 30 = 0. What is the units digit of k\/(-30)*86*-6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309 a factor of 18240579?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 smaller than -2\/2237?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5\/((-120)\/(-112))*18\/16. Is 5 less than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 2*j**2 - 2. Let i be z(5). Suppose -3*d = -0*d + i. Let x = 26 + d. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27478 + (-10)\/(-60)*66.\nAnswer: 3, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + (3 + -5 - (1 - 16)) + (100 - 179)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -8*c*h*i - 2*c*s + 4034*h*i**3*s + 8*i**3 - 65*i*s wrt h?\nAnswer: -8*c*i + 4034*i**3*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pqxaxppaqapkmam. Give prob of sequence ax.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((4 + sqrt(1331)*1 + sqrt(1331) - sqrt(1331) - sqrt(1331)*1*-4) + -4 + sqrt(1331) + -4 + -1)*3*-4)**2.\nAnswer: -95040*sqrt(11) + 6903504","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -146 + 156. Let i(j) = j**2 - 8*j + 24. Let x be i(s). Let n be (22\/3)\/((3 - -1)\/72). What is the greatest common factor of n and x?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i**(-2\/11)*i**(-6))\/(i**(-4)\/i**6))\/(i**(-1)\/((i*i*i**(1\/8))\/i))**(3\/43) assuming i is positive.\nAnswer: i**(15009\/3784)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand n - n - n**2 - 1 - 2*n**2 + 1 + (-3*n + 2*n + 0*n)*(-4*n + n + 5*n) - 2*n - 2*n**2 + 2*n + 2 + 7*n**2 - 13 - 4*n**2.\nAnswer: -4*n**2 - 11","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 4*u**2 - 25*u + 14. Let y(k) = 7*k**2 - 50*k + 25. Let z(r) = -5*c(r) + 3*y(r). What is the second derivative of z(p) wrt p?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 minutes before 1:55 PM?\nAnswer: 12:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the third derivative of a**7\/56 + 16*a**6\/15 - 253*a**5\/60 - 3*a**4\/2 - 7*a**2 - 9*a + 25. Solve h(v) = 0.\nAnswer: -36, -2\/15, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 148237499?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -17.692 + 15.692. Sort 1\/2, -9\/17, 0.2, g in descending order.\nAnswer: 1\/2, 0.2, -9\/17, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + l + 0 + (-1 + 2 + 1)*(463*l + 640*l + 3755*l) - 2*l + l + 2*l.\nAnswer: 9718*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.19 + 1.81. What is the closest to b in 0.2, 3, 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 22839 is divided by 172?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -3132 (base 5) to base 14\nAnswer: -21b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -266.8 + 267. Put v, -3\/2, 10, 2\/9 in increasing order.\nAnswer: -3\/2, v, 2\/9, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 p when two letters picked without replacement from ffefepesfffefvfevp?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1763*r**3 + 0*r**2 + 1733*r**3 + r**4 - 2*r**2 - 2 + 6*r**4 - 4*r**4 - 3*r**4 - 2*r**4 + 2*r**4 - r**4 + (4*r - 4*r + 2*r**2)*(-r**2 + 0*r**2 + 0*r**2).\nAnswer: -3*r**4 - 30*r**3 - 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 - 20*y**2 + y + 13. What is t(-20)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -145616*g*k**2 + 2*g*k - 15463992*k**2 wrt g.\nAnswer: -145616*k**2 + 2*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.06 and -39065.\nAnswer: -39064.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 to the power of 1\/2, to the nearest integer?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*a - 3*a - 3*a - 5*a + 410 + 10*a to the form j + t*a and give j.\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.14978516 rounded to 4 dps?\nAnswer: -0.1498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 7 = 4*d + 43, -3*d - 5*y - 35 = 0. Let v be -1 + d + 4268\/715. Is v != 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 8 - 10. Let a be ((-8)\/1)\/n - 0. Calculate the highest common divisor of a and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -205011, -205430, -205849, -206268, -206687, -207106?\n\"Answer: -419*y - 204592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3635 - -6214. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u + u + 0*u + (-4 - 4 - 3)*(-3*u + 3*u - 2*u))*(273*u**4 + 47*u**4 - 834*u**4).\nAnswer: -10794*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10170 divided by -1695.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -245 + 397. Let i = h + -103. List the prime factors of i.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -37 (b) -8\/7 (c) 0 (d) -8384\/5 (e) -2\/9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_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: Collect the terms in 0 - 11*v + 2 - 6.\nAnswer: -11*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.32 and -172.\nAnswer: -172.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 481715175 to the nearest integer?\nAnswer: 784","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 4008, 0.1, -0.01, 0.3 in ascending order.\nAnswer: -0.01, 0.1, 0.3, 5, 4008","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7451 - 7452. What is the second biggest value in r, 4, -0.029?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -44050000 to the nearest one million.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 + 3 + -5 - -3) + 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -2\/147, 0.1, -2\/11, -44.4?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -23137.896 - 2.\nAnswer: -23139.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -29, 83815.\nAnswer: -29, 8, 83815","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -b**2 + 14*b + 76. Suppose 5*c = -3*p - 29, 0*c + 5 = -5*c + 5*p. Let r be a(c). What is the highest common divisor of 52 and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r**3 - 1284*r**2 - 27904*r + 7056 = 0. Calculate r.\nAnswer: -18, 1\/4, 98","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/15 (b) 5 (c) 3\/4 (d) 1 (e) -2128001 (f) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 22 + -19. Suppose 14 = k*d + 2*u, -4 = -2*d - 3*u - u. Suppose -2*q + 13 = 9. What is the greatest common factor of d and q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**20)**(-27)\/(w**(-35)\/(w*(w\/w**(-27))\/w)))**5 assuming w is positive.\nAnswer: w**2880","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -r + 6. Let b be v(4). Suppose 4*o + a - 14 = 0, o - 22 = -4*o + a. Suppose o*g = b*g + 30. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 27\/38224 and -32\/107505.\nAnswer: 1720080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -47\/568 and 73\/38.\nAnswer: 10792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 9470*d - 4*d**2 + d**2 - 9468*d - 8*d**2. Let s(h) = -12*h**2 + 3*h. What is -4*n(u) + 3*s(u)?\nAnswer: 8*u**2 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -73\/20285898 and -51\/329852.\nAnswer: 40571796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29310*m + 30843*m - 90972*m + 30835*m.\nAnswer: 16*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k**2 + 282*k + 2. Let h(u) = -2*u - 1206. Calculate v(h(n)).\nAnswer: 20*n**2 + 23556*n + 6932090","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8\/5, -0.1, 3176643 in descending order.\nAnswer: 3176643, -0.1, -8\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 23877\/4 - 5969. What is the smallest value in y, 0.1, 24.43?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 2*w**2 - 15*w**3 + 4*w**2 + 21*w**3 + 3 - w**4 in the form n*w**4 + v*w + s*w**3 + h + l*w**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.9*-0.37.\nAnswer: -0.333","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 3735 divide 662398515?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.068 - 3.368. Let y = v - -4. Let g = -1.2 + y. What is g rounded to zero dps?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*s = 104*s + 430 for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*j - j + u + 10, 20 = -2*j + 3*u + 3*u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 9*s - 2. Let a be ((-4)\/10)\/((-4)\/(-80)). Let c be y(a). Suppose c*h - 25 = h. Solve -3*u + 2 = -n, 12 = h*u + 2 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vbbbfnbbb. What is prob of sequence fbb?\nAnswer: 5\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 30 - 2)*(2*j - j - 2*j) + 2*j - 4*j + j + (-2*j + 2*j + j)*(5 - 2 - 2) + 4*j - j - j.\nAnswer: -31*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4458 + 4460. Let f be ((-3)\/(-2))\/(66\/8). Let z = -31\/6 - -223\/42. What is the second biggest value in f, z, s?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnnvnnfpvnnp. Give prob of sequence nvv.\nAnswer: 4\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 - 2 = p. Let g be (0 - 0)*(p + -1). What is the third derivative of 0*d - d**2 - 2*d**3 + g*d wrt d?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*l + 47*i - 109*i = 3*l - 194, 6 = 2*l + 5*i - 5 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 117 + (-616)\/(-7) + -142.\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -3.5. Let c = 21355\/4 - 5331. What is the biggest value in 2, c, q?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6046*n - 6005*n = 205 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.4, -16, 1\/2, 12095, 0.6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a61a (base 12) to base 16.\nAnswer: -97f6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = h**3 - 105*h**2 + 1635*h - 142. What is the units digit of u(97)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -516.29 - -510. Let h = p + 1.29. Which is the third biggest value? (a) -1 (b) -2.2 (c) h (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1181 + 2441. Is 42 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.22 + 0.68. Let i = o - 0.9. Which is greater: i or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10*c - 846 + 846.\nAnswer: 10*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5119\/3 - 1453805\/852. Let n = z + 1213\/568. Calculate the common denominator of n and 51\/7.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 553918394.\nAnswer: 2, 1621, 170857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ry when two letters picked without replacement from {y: 2, r: 9}?\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5017.\nAnswer: 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -5, -3\/2, -4, -7.89, 10\/53?\nAnswer: -7.89","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 20 + -26. Let w be 140\/6 - 4\/y. Let o = w - 97\/4. Which is the nearest to 1? (a) 0 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 312130121 (base 4) to base 2\nAnswer: 110110011100011001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -z**2\/10 - 4*z - 72\/5 = 0.\nAnswer: -36, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 6\/(-12) - (-14)\/(-4). What is the remainder when 3 + x - -138 - 3 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (823\/(-18) + (-14)\/(-63))*(-32)\/56. Solve -4*b - 9 = -l, 2*l = -b + 7*l - w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 97.39876 rounded to 1 decimal place?\nAnswer: 97.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 3\/8 of a microgram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(-1 + (sqrt(304) - 1*sqrt(304)))*1)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**3 - 5*f**2 + 5*f - 7. Let j be b(-6). Let z = 11 + j. Suppose 0 = -d - 1 + z. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21844356 or 21844364?\nAnswer: 21844356","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 475957998 a multiple of 207?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, 18, -6 in increasing order.\nAnswer: -6, -5, 5, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 5*b. Let u(y) = -3*y. Let r(k) = 8*u(k) + 5*w(k). Let q(n) = -n + 1. Let i(d) = 6*d - 115. Let x be i(19). Let j(t) = x*r(t) + q(t). Determine j(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -2*b**4\/3 + 246*b**3 + 26*b**2\/3 - 3206*b + 2952 = 0?\nAnswer: -4, 1, 3, 369","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26491787?\nAnswer: 7, 3784541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -190*f**2 - 4*f - 494*f**6 + 189*f**2 + 694*f**6 + 796*f**6 - 9*f wrt f.\nAnswer: 119520*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -3 + 6 + (-9)\/3. Suppose -4*d + 4 + m = 0, -5*u = -3*d - 327. What are the prime factors of u?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*m**3 + m - m.\nAnswer: -17*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 24 and 11280.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*n + 9*u + 9*u + 40, -5*n - 205*u - 40 = -208*u for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 7\/3 of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h\/(h\/(h*h\/h**2)))**(15\/4)\/(h**(-2\/17)\/(h\/(h\/h**(3\/7))))*((h\/h**1)**(-10))**(-17\/4) assuming h is positive.\nAnswer: h**(65\/119)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the third derivative of 7*b**5\/15 - b**4\/24 - b**3\/6 + 2*b**2. Suppose 8*u - 540 = 332. Calculate the remainder when u is divided by v(-1).\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 51 (base 15) to base 10.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.03, -14\/3, 0.3, 2\/15?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -173 (base 9) to base 5\nAnswer: -1042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -4*39*3\/9. Let f(h) = -25*h - 1. Let u be f(4). Let c = z - u. Is c a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2735 + 5177. Sort d, 2, -2 in descending order.\nAnswer: d, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 783797930 to the nearest integer?\nAnswer: 922","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1773792 or -1773791?\nAnswer: -1773791","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -62 and -3483.\nAnswer: 215946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = -4*f + f + 417, 2*b = -f + 135. Is f a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**2 - 19*n - 16. Let y be r(-17). Let v = 5 + y. Calculate the highest common divisor of v and 92.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhjhhthggohjg. Give prob of picking 1 j and 2 g.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 15 = -3*v - 5*b, 0 = -b - 3. Let p = -5 + v. What is the closest to -0.2 in -4, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -960287 + 802*l + 960287 - 4*l**2 + 14*l**2 to z*l + b*l**2 + g and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 516915550 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-42))\/(108\/12474)?\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((sqrt(510)\/(sqrt(10) - sqrt(40)) - sqrt(51))\/(sqrt(3)*-1*-5) + ((sqrt(34) + 1*sqrt(34))\/sqrt(2) + (2*sqrt(85) + sqrt(85) - sqrt(85))\/sqrt(5))**2).\nAnswer: -816 + 6*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 39, 158, 277, 396, 515?\nAnswer: 634","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2323 - -6689. What is the hundreds digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.2*3019\nAnswer: -3622.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 361*n - 773. Give r(5).\nAnswer: 1032","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5, -13, 8, 3 in increasing order.\nAnswer: -13, -2, 3, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 226, 230, 234?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) be the second derivative of c**5\/20 + c**4\/12 - c**3\/3 + c**2\/2 - 2*c. What is the units digit of q(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -p**3\/2 + 21*p**2\/2 - 9*p - 20.\nAnswer: -(p - 20)*(p - 2)*(p + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 20927342 to the power of 1\/2, to the nearest integer?\nAnswer: 4575","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 53*k**2 - 101*k + 491. Calculate the lowest common multiple of 8 and c(-51).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27090689 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (5 - (10 + -7)) - (108 + (3 - 16)).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 22580036?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 20, 161, 552, 1319, 2588, 4485, 7136, 10667?\nAnswer: 15204","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k + 3*k + 10 - 4*k. Let c(m) = -14*m + 28. Let d be c(2). Is w(d) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391716 is divided by 43486?\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -1149*m**3 - 6*m**2 - 12*m + 17. Let i(q) = -2299*q**3 - 13*q**2 - 26*q + 37. Calculate -13*b(d) + 6*i(d).\nAnswer: 1143*d**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/o**1)\/o)**(-19\/5))**37\/((o**(2\/5))**29)**(-3\/11) assuming o is positive.\nAnswer: o**(7907\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 244*q**2. Let f be p(-1). What is the remainder when f\/10 - 4\/10 is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from {i: 9, o: 2}.\nAnswer: 36\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1685 - 1171 = -6*d. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**4\/15 + 38*v**3\/15 + 1454*v**2\/15 + 4066*v\/15 + 884\/5 = 0. Calculate v.\nAnswer: -17, -2, -1, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1470 = 4*m - 2*s - 1486, -4*m = -3*m + 5*s - 15 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -193 + 1025. Is 86 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 4. Let b be (-16)\/(-12) - c\/(-6). Suppose -2*z = -3*q + 53, -z - 27 = -b*q + 2*z. Is q composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 89401644 and 1488?\nAnswer: 357606576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00249992 rounded to 4 dps?\nAnswer: 0.0025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*t + 31*t + 6 = -v, -3*v = 6*t + 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + d = 132. Find the common denominator of -81\/4 and 210\/80*d\/(-15).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(6\/5)\/(d\/d**(-5)*d)*(d*(d\/d**7)\/d*d)\/((d**(3\/5)*d)\/d)*(d**(4\/3)\/((d\/(d**5*d))\/d*d))**(-3\/7) assuming d is positive.\nAnswer: d**(-494\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 9. Let j be (-17 + 29)*(-1)\/u. Suppose 0 = -5*g - 3*d + 31, 2*d - j = -2*g + 5*d. Put -4, g, -1 in descending order.\nAnswer: g, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 23*s**3 + 2*s**2 - 3*s + 4. Let f(g) = 47*g**3 + 5*g**2 - 5*g + 9. Let m(r) = 2*f(r) - 5*l(r). Find the second derivative of m(c) wrt c.\nAnswer: -126*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*h**5 - 60*h**3 - 8*h + 2458 wrt h.\nAnswer: -260*h**3 - 360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -529932 > -529928?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -139*j**3*q + 49*j**3 + 2*j**2*q + j*q + 168*j - 29*q + 1 wrt j?\nAnswer: -834*j*q + 294*j + 4*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 1 - 4*f - 4*f - 6. Let l(m) = 4*m + 2. Let a be (-170)\/(-18) - 84\/189. Give a*l(o) + 4*j(o).\nAnswer: 4*o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*x + 27 + 20 - 21 = 0. Let l = -7 - -6.97. Which is the biggest value? (a) x (b) l (c) 0.4 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12ba908 (base 13) to base 10.\nAnswer: -5907065","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*a**4*b**2 - 46489*a**3*b**2 + a**2*b**2 - 377936*b wrt a.\nAnswer: 216*a*b**2 - 278934*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the second derivative of -11\/2*s**3 - 3*s + 0 - 4*s**2. What is the first derivative of d(i) wrt i?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3192635 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 610*z - 589*z = 168. Solve -43*f + 39*f = -z for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = -3*x. Suppose 0 = -3*g - x + 6. Suppose 3*c = 4*q + 31, 0*c = 5*c - 3*q - 37. Calculate the highest common factor of g and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6799939\/5 - 1359973. Factor -a*y + 2\/5*y**4 + 18\/5*y**3 + 48\/5 + 6\/5*y**2.\nAnswer: 2*(y - 1)**2*(y + 3)*(y + 8)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**3\/3 + 7*k**2\/2 - k + 1. Let m be (-30)\/(-4)*20\/25. Let t be q(m). Solve -2*a + t = -3*u - a, 4*a - 6 = -2*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 38556 and 580635.\nAnswer: 48773340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -1\/6 (b) -3 (c) 3\/22 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3300*n - 3300*n + 128*n**2)*(-n - 4*n + 4*n)*(6*n + 3 - n - 4*n).\nAnswer: -128*n**4 - 384*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the second derivative of -137*c**4\/4 + c**3\/3 - 14*c**2 - 531*c. Find the second derivative of j(g) wrt g.\nAnswer: -822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 8.468 and 0.06?\nAnswer: 0.50808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 592\/7 + -14968\/175. What is the common denominator of 16\/55 and u?\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = t. Let s(k) = -k - k**2 + 0*k + t*k - 5*k**3. What is the units digit of s(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 18*l + 3. Let h(v) = -9*v - 2. Let b(f) = -11*h(f) - 6*j(f). Differentiate b(i) with respect to i.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = 82*l**2 + 6*l + l**3 - 15 - 72*l**2 + 3. Let a be t(-9). Solve a = 5*v + 5, -m + 2*v = 7 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 8, t: 5}. What is prob of picking 2 t?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1584) + (sqrt(1584) - (sqrt(1584) + 0)*-6))**2 + (sqrt(1584) + sqrt(1584) + -2*sqrt(1584))**2 + sqrt(1584) + -4)*-4.\nAnswer: -405488 - 48*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7148547 divided by 100.\nAnswer: -7148547\/100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the third derivative of -w**6\/120 - w**5\/15 + w**4\/24 + 2*w**3\/3 - 3*w**2. Is 24 a factor of k(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 divided by -21?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 - 6 = 2*c, -3*n + 15 = -3*c for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 21 = -5*k, -k = -4*p - 2 + 1. Calculate the remainder when 23 is divided by ((-85)\/(-20) - p)\/((-1)\/(-4)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -3 + 0 - 3 - 10*p**2 - p**3 + 17*p - 2. What are the prime factors of w(-12)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5.4 - 6. Let o = s + -0.4. Let g = -0.9999997 - o. What is g rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*n - 18*n - 12 = -3*j, 3*j - 6 = n for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/6, -20, -2\/3, 0.2?\nAnswer: -20","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4434 is divided by 325?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 908, 910, 914, 920, 928, 938, 950?\n\"Answer: n**2 - n + 908","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1139, 1138, 1137, 1136, 1135?\nAnswer: 1134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 19*x**2 - 32*x - 8. Let v(a) = -12*a**2 + 20*a + 5. Let f(z) = 5*t(z) + 8*v(z). Let h(c) = 618*c - 1. Determine h(f(m)).\nAnswer: -618*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 25.1 * -1\nAnswer: -25.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 45 + -43 - (4 - (2 - 1)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 = 481*t - 483*t for t.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/3)\/(-6)*(-3)\/(-2).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 65534.0112188 - 65534. Round u to three dps.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -5\/1074 and 101\/120.\nAnswer: 21480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**8*r**(-1\/2))**(10\/7))**(-7\/6) assuming r is positive.\nAnswer: r**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 16240281173 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 6722008 to the power of 1\/3, to the nearest integer?\nAnswer: 189","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54302856?\nAnswer: 2, 3, 2262619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-1 - (4 - 1)) + 6. Let z be 8\/(4\/1) + x. Solve 4*t = -2*f + f + 3, 0 = -t + z*f + 5 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccgb when four letters picked without replacement from {c: 4, g: 3, r: 1, b: 1, a: 5, l: 4}?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-118 + 28*i + 118 + (-2 + 1 + 3)*(2*i - 2*i - 2*i) + 2*i - 2*i - 2*i)*(991*i**3 - 9*i + 4 - 991*i**3 + i**4).\nAnswer: 22*i**5 - 198*i**2 + 88*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r = 3*r - 8. Let x(a) = a**3 - 7*a**2 - 8*a + 2. Let j be x(r). Find the second derivative of -j*s + 6*s - 2*s + s**3 wrt s.\nAnswer: 6*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the first derivative of 13*j**6\/6 + j**3 - 10. What is the third derivative of n(d) wrt d?\nAnswer: 780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the first derivative of d**3\/3 - d**2\/2 + 3*d - 1. Let w be q(0). What is the units digit of 1*6\/w - 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -159503, -319270, -479037?\nAnswer: -638804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11583028?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 2*x**2 - 4*x + 5. Let l be t(1). Let n be (-5)\/2*2*-1. Solve 10 = n*m - l*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -x - 0. What is the third derivative of -x*s**2 + 7*s**3 - 9*s**3 - 7*s**3 wrt s?\nAnswer: -54","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -40*z**2 - 5*z - 1. Let p be d(-4). Let o = 166 - p. Is o a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = k + 2. Let v(d) = 3*d + 4. Let m(l) = 4*l + 5. Let j(x) = -5*m(x) + 6*v(x). Calculate the least common multiple of g(6) and j(-5).\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18048068 is divided by 206.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j*(j**(-2\/9)*j)\/j)*(j*j**(-1\/2))\/j*j)\/((j**(2\/9)\/j*j)\/j*j*(((j*j*j*j**6)\/j)\/j)\/j))\/(j**7\/(j**(-3)*j))**26 assuming j is positive.\nAnswer: j**(-479\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*t + 16*t - 3 = 0. Solve -2*b - 2*b + 3*u = 8, -10 = 2*b - t*u for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 725 - 94*a - 1252 + 527.\nAnswer: -94*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g - 3*i = -0*g - 21, -5*i - 37 = -g. Suppose -5*m + 20 = n - 2*n, 3*m - g = -5*n. What is the units digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -442, -765, -1050, -1279, -1434?\nAnswer: -1497","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.06, 117, -2\/3, -0.18 in increasing order.\nAnswer: -2\/3, -0.3, -0.18, 0.06, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l = -20. Let d be (4\/26)\/(4\/51). Let s = 6\/13 - d. Which is the smallest value? (a) s (b) 3 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0*i**(-4\/5))\/(i**1\/i*i\/i**7*i) assuming i is positive.\nAnswer: i**(21\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(-7))**(3\/5))**4 assuming x is positive.\nAnswer: x**(-84\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.8338 + 0.88. Let c = 0.057 - l. Round c to three decimal places.\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4070.\nAnswer: 2, 5, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 515*r + 512*r - 1537*r + 7*r**2 + 510*r.\nAnswer: 7*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -171970 at least as big as -170112?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = -270*u - 2 + 4 + 272*u. Let w be c(-4). Let p be 1\/8*w\/1. What is the third smallest value in 0.4, 3\/2, p?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 321714045 a multiple of 177?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 118723215 to the power of 1\/2, to the nearest integer?\nAnswer: 10896","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/253 and 143\/138.\nAnswer: 1518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 293, 1096, 2417, 4262, 6637, 9548?\nAnswer: 13001","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + 0 + 8 + -3 - -6?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 16*n - 50. Let z(j) = -j**3 + 4*j**2 - 2*j - 2. Let a be z(2). Suppose -12 = -i - a*i. What is the remainder when y(4) is divided by i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - j. Let p(z) = -45*z**2 - 54*z. Let w(o) = 54*a(o) - p(o). Let q(v) be the first derivative of 2*v**3\/3 - 186. Give q(w(h)).\nAnswer: 162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 16.7*3\nAnswer: 50.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 4:50 AM?\nAnswer: 7:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13810*-0.2.\nAnswer: -2762","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 80\/960 - (-53)\/12. Let p(r) be the second derivative of -d*r**2 + 0 - 1\/6*r**3 + 10*r. What is p(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*t - 37*t - 13 - 4 = 4*a, 0 = -a - 5*t + 17 for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -39 + -146. Let m = -185 - c. Sort 1, 6, -4, m in ascending order.\nAnswer: -4, m, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-four fifths of a hour?\nAnswer: 648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 24\/16*(-8)\/(-6). Determine x, given that -x**2 + x**4 + x**4 - 2*x**2 + x**q = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 15\/(-4) - 32\/(-8). Let g = 0.03 + -0.13. Let z = g - 1.9. Which is the third smallest value? (a) z (b) 4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20 - (9 - -33)) + 2?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(-9))**(9\/5)*s**(1\/11)\/s*s*s*s**(-3\/5)*s assuming s is positive.\nAnswer: s**(-809\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -598*u + 1 + 1 + 1084*u.\nAnswer: 486*u + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(6\/(-6)) - 20. Let n be (g\/45)\/((-4)\/10). Calculate the greatest common factor of 19 and n.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.3 + -0.4. Let p(r) = r**3 - 174*r**2 - 2034*r - 185. Let u be p(185). Which is the nearest to u? (a) 0.2 (b) -0.09 (c) -0.4 (d) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5, -2767, -3, -251, 3 in descending order.\nAnswer: 5, 3, 2, -3, -4, -251, -2767","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 3*r = -617, r = -4*r + 5. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of 0*n + 7\/2*n**2 - 11. Let f(c) = -4*c**2. What is j(f(y))?\nAnswer: -28*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/3 - ((-6 - 0) + 4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3 + 1 + 0)\/(-189 - -169). Let b(o) be the second derivative of r*o**3 + 0 + 3\/100*o**5 - 1\/10*o**4 + 6*o + 0*o**2. Determine x so that b(x) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-30)\/(-9)*(5 - 35\/10). Suppose 0 = -13*k + p*k + 528. Suppose 24 = -6*y + k. Does 2 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*t**2 + 2159467*t**3 - 2159311*t**3 + 26*t**2.\nAnswer: 156*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -347837806 - -347058879.0082. Let k = 778992 + b. Let g = -65 + k. Round g to 3 dps.\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -67 (base 9) to base 10\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence no when two letters picked without replacement from {s: 1, x: 4, o: 2, m: 8, n: 1, k: 4}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 844.9604 rounded to the nearest integer?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 3*1)\/(2055 - 2010).\nAnswer: -2\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1768 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 65822770963 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -290*k**3 - 321*k**3 + 185*k**3 - 8*k + 2*k - 2*k**4 + 3*k as q*k**3 + v*k**4 + c + a*k**2 + b*k and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19\/42 + -1583\/168. Let j be 1 + -3 - -2 - 2. Find the common denominator of 77*j\/16 - 3 and p.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (7 - (-1 - -4))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -556.991.\nAnswer: -557.291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, 6, -2\/3 in decreasing order.\nAnswer: 16, 6, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -30 + 43. Solve i = 2*z - 2*i + 8, y = -3*z + 5*i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 34443173263 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 21 - 18. Let z be (2\/6)\/(n\/45). Suppose -z*j + 5*v + 19 + 26 = 0, -3*j + 22 = -2*v. Solve -3*i + i = -3*u, 0 = j*i - 5*u for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from afahahaakfhp. Give prob of picking 1 h, 1 f, and 1 k.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 760192?\nAnswer: 2, 5939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 5078?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 21*w**2 - w + 6. Let j be y(-4). Suppose 0 = 5*i + 81 - j. Let g = i - 55. Which is the second biggest value? (a) -1 (b) 0.1 (c) -0.04 (d) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -85671 in -1, 3\/4, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*t + 7*t - 2*t)*(-2*t**2 - 2*t**2 + 5*t**2) + (-1 + 3 - 1)*(t**3 + 3*t**3 - 3*t**3) to the form k*t**3 + s + d*t + n*t**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 351 and 8.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -18*u + 24. Let h(y) = -4*y + 5. Give -14*h(s) + 3*r(s).\nAnswer: 2*s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**3 - 4*f**2 - f + 14. Determine g(3).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -2.9 - -3. Let h = -2.55 + 2.1. Let t = h + 0.05. Which is the closest to 3? (a) -3 (b) u (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2039938, 2039943, 2039950, 2039959, 2039970, 2039983?\nAnswer: 2039998","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**2 + 8*i - 677. Let q(r) = r**2 + 7*r - 676. Let s(a) = 2*q(a) - 3*v(a). Differentiate s(l) wrt l.\nAnswer: -2*l - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1557 minus 0.5?\nAnswer: 1556.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 21, 2, -659, -0.5, -2\/7 in descending order.\nAnswer: 21, 2, -2\/7, -0.5, -659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*p + 53, -3*o + 2*p + 3*p + 51 = 0. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 80.9, 0, -2, 4 in descending order.\nAnswer: 80.9, 4, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 91, 136, 255, 484, 859, 1416?\n\"Answer: 6*r**3 + r**2 + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 11:11 PM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(11) + (-3 + sqrt(44))**2.\nAnswer: -11*sqrt(11) + 58","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -5657, -11330, -17001, -22670, -28337, -34002, -39665?\n\"Answer: n**2 - 5676*n + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u = -5*j - 30, 9*j - 4*j + 20 = 2*u for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*t**2 + 6 + 6 - 10)*(-1 + 1 - 1) to q + v*t**2 + y*t and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345*t = 347*t + x - 8074, 4051 = t - 3*x. List the prime factors of t.\nAnswer: 7, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -56*h**3 - 1122*h**2 + 128*h + 3368. Give l(-20).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = 18*c**2 + 2*c - 2. Let p(l) = -52*l**2 - 7*l + 6. Let h(u) = 7*k(u) + 2*p(u). Let q(y) = -5*y. Give q(h(w)).\nAnswer: -110*w**2 + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1571 is divided by 263?\nAnswer: 256","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -539 - -543. What is the first derivative of -7*o**s - 3*o**4 - 1370*o + 1372*o + 5 wrt o?\nAnswer: -40*o**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 294 is divided by 76?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -252 * -607.\nAnswer: 152964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -69 + 73. Let d(k) = 4*k**2 - 11*k + 3. Let z be d(3). Let j be (4 + -1)\/(z\/f). Solve j*c = -1 + 5 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 17555.9 - 18673. What is d rounded to the nearest 100?\nAnswer: -1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -7*x**3 + 9*x - 17. Let g be k(3). Let b = g + 173. Let a(q) = -2*q**2 + q + 7. Let s(v) = 2*v**2 - v - 8. Calculate b*a(l) - 5*s(l).\nAnswer: 2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5081 is divided by 124?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 1014 = -4*c. Let t = 169 + c. Sort -7\/3, 0.2, -3, t in descending order.\nAnswer: 0.2, t, -7\/3, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 444 and 1824?\nAnswer: 67488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is d (base 15) in base 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 19614917 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*k - 29 = -98. Put 126, k, -2 in decreasing order.\nAnswer: 126, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 + 417.5?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2010122 (base 3) to base 2\nAnswer: 11000010100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 5615.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -108*r + 5245 = -291*r + 1232*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -15cc (base 13) to base 3\nAnswer: -11101220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/19 + -1 + 1. Let h = 580 + -1492. Let j = h + 912. Which is the third smallest value? (a) 1\/3 (b) n (c) j (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 - -2. What is the lowest common multiple of 4 and (-1)\/b*-4 + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) -2\/5 (c) 2 (d) 2.85\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/(-4)*0\/2. Let f(s) = 2*s**2 + 2*s - 1. Let d be f(1). Let j(c) = c - 3. Let b be j(d). Is b greater than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*h - 60 + 81 - 22*h + 182 + 90.\nAnswer: 3*h + 293","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbubbbbobboobbbbbu. Give prob of sequence bub.\nAnswer: 13\/204","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 549, 548, 547?\nAnswer: 546","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -126*t**3 + 776118*t - 575504580?\nAnswer: -378*t**2 + 776118","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-2\/19)\/h**(-2\/3))\/(h**(-1\/3))**(-1\/12) assuming h is positive.\nAnswer: h**(365\/684)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, 2\/813, 0.4, -11, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17 and 1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Determine v so that 4*v**5 + 188*v**4 - 9364*v**3 - 9548*v**2 = 0.\nAnswer: -77, -1, 0, 31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 7*u**2 + 58*u + 23. Let v be j(-8). Suppose v*l = 11*l + 3*n - 3956, 2*l - 1980 = -n. What is the hundreds digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*x - 2*x + x + 9*x - 13*x + 31*x + 2*x + 1 - 1 + (2*x + 0*x + 0*x)*(2 - 3 + 2) in the form v + r*x and give r.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -253 - 107. Let v = 120 + i. Suppose 0 = 2*j + 2*j - v. What is the remainder when 22 is divided by j?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 2*m**3 - 2*m**2 + 4*m - 2. Let r be z(2). Let w be 1\/1 + (614 - -15). Suppose -4*a = -9*a + w. What is the greatest common divisor of r and a?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3614\/193 at least as big as -24.5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -1 - 8 - (166944\/(-777) + -62). Factor -k + 3\/7*n**3 + 2025\/7*n - 153\/7*n**2.\nAnswer: 3*(n - 25)**2*(n - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -36299738652 - -7.092\nAnswer: -36299738644.908","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -824464146 by 2.\nAnswer: -412232073","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*w + 27 = 5*k, -2*w = -4*k - 91 + 109 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 31 divide 725235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**4\/9 + 2*z**3\/9 - 4*z**2\/3 - 8*z\/9 + 16\/9.\nAnswer: 2*(z - 2)*(z - 1)*(z + 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 - 7. Let o(c) = 297960*c**2 + 7*c + 9. Let v be o(t). What is v rounded to the nearest 1000000?\nAnswer: 15000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1702 = -26*v - 11*v. What is the remainder when (-2)\/(-11) + (-9003)\/(-33) is divided by v?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o + 198676 = -6*s + 198652, -4*s + 3 = 5*o for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h\/h**(1\/4)*h*h*h*h)\/(h\/(h*h*h**(1\/3)*h))*h**2*h*h*h**2)**(-5) assuming h is positive.\nAnswer: h**(-845\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -50*k = -w - 12*k + 44*k - 2*k - 405, w + 15 = 2*k for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 5) to base 3\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 54.42 - 0.12\nAnswer: 54.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i**5\/4 - 92489*i**4 + 1603227*i**3\/4 + 863264*i**2 + 369969*i = 0. Calculate i.\nAnswer: -123323, -1, -2\/3, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 53295?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 549659336?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.521969 minutes in microseconds?\nAnswer: 211318140","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -3*z. Let c = 30 - 25. Suppose -c*j + 0 + 5 = 0. Let n(a) = a**4 - a - 1. Let o(b) = j*m(b) - 3*n(b). Differentiate o(v) wrt v.\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 9*l = 4*l + 254, -2*v = 3*l - 170. What is the highest common divisor of v and 16?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*s + 2559 + 27702 = 106*s. What is the lowest common multiple of 117 and s?\nAnswer: 9009","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(120)\/sqrt(2))\/sqrt(2))\/(sqrt(12)\/(sqrt(10)\/sqrt(5))).\nAnswer: sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2.326 - 2.36. Let r = -0.966 + l. What is the fourth smallest value in 0.3, 0.2, -2\/5, r?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence udxn when four letters picked without replacement from xdutxtbbxbnbxd.\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*w**2 - 716574*w - 159240.\nAnswer: 3*(w - 26540)*(9*w + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yqqqjqjxjqxjgjyqj. Give prob of sequence qjyg.\nAnswer: 3\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(2*sqrt(76) - sqrt(76)) - sqrt(76)) + sqrt(76) + sqrt(76) + (sqrt(76) - -1*sqrt(76)*-6))\/(sqrt(48)\/(1*sqrt(108))*1))**2.\nAnswer: 10944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3*b - 9 = 0, 5*k + b = 6*b - 15. Let r(h) be the third derivative of -1\/12*h**4 + k*h + 0*h**3 + 0 - 3*h**2. Let n(y) = -2*y. What is r(n(l))?\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2.2564568 - -0.1039552. Let k = 2.36 - u. What is k rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) be the third derivative of 3*a**4\/8 - 29*a**3\/6 - 5*a**2. Differentiate v(b) wrt b.\nAnswer: 9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21460 is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 - 3*i**2 - 8*i + 8. Determine g(6).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -322241 (base 7) to base 15.\nAnswer: -1190b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in seven eighths of a millimeter?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + 11 - 4*d - 4*d**2 - d**3 - 3*d**2 + 11*d. Let g be b(-5). Which is bigger: g or 13\/6?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/4 of a litre?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/238 and (17\/(64158\/(-185)))\/((-98)\/(-9)).\nAnswer: 3332","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 42.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 59 a factor of 236898?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 167*a**2 - 4*a**4 + 168*a**2 - a**3 - 2 - 336*a**2 as i*a**2 + c*a**3 + h*a + w + n*a**4 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.982928 millilitres?\nAnswer: 0.000982928","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14.9 - -15. Let q = t + -0.19. Which is smaller: q or 1?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -28*d**3 - 12*d**2 + 5*d. Let t(u) = u**3 + u**2 + u. Let k(n) = r(n) - 5*t(n). Find the third derivative of k(g) wrt g.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1968157037?\nAnswer: 7, 11, 107, 238883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 64a - -6092?\nAnswer: 670c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 847.5857 grams?\nAnswer: 0.8475857","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = -c - h, -4*c + 2*h = -3*c - 4. Let x be c - -6*4\/8. Suppose 3*p = 2*p + x. What is the units digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1027641 to the nearest integer?\nAnswer: 1014","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 48304333.\nAnswer: 7, 11, 627329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -765194 divided by -3.\nAnswer: 765194\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 7227 divided by 2?\nAnswer: 7227\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 8*z - 3. What is h(-7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jjoyonyaaggagjaajag. What is prob of sequence jna?\nAnswer: 4\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2010118423 to the nearest integer?\nAnswer: 44834","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 10.057854 > -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 893431984 to the nearest integer?\nAnswer: 963","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 427035.\nAnswer: 3, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 12 = 0, -25212 = -4*m + 67*d - 63*d. Does 9 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 710 and 87685?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 4511 (base 7) in base 13?\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5)\/250*(69 + -79)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -17, -2, 1 in increasing order.\nAnswer: -17, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3795\/50 + 4\/40. Let q = -43 + b. What is the remainder when q is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.413 - 0.113. Which is the second smallest value? (a) 129 (b) d (c) 4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than -141\/65942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4136*d**2 + 88 + 3097807*d + 305 - 3097812*d wrt d.\nAnswer: 8272","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -188, -773, -1360, -1949, -2540?\nAnswer: -3133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*f**3 - 2110*f**2 - 6195*f + 37710.\nAnswer: -5*(f - 3)*(f + 6)*(f + 419)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -157*g*n**2*w**2 - 2*g + n*w**2 - 52*n wrt n.\nAnswer: -314*g*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.8, -0.1, 0.167, 1\/5?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of c**6\/15 + 3*c**2\/2 - 14*c. Differentiate w(y) with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30796952 by -8.\nAnswer: 3849619","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 37*m**2 + 64*m - 169. Let q be d(-35). Put 2\/7, -5\/2, -2, q in increasing order.\nAnswer: -5\/2, -2, 2\/7, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -96 by 12.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3, -1\/82, -1\/3, -0.3, 2\/5, -4\/137, -4\/37?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -14146.7 - -13558. What is d rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -103 or -110?\nAnswer: -103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 73\/966 and -71\/69069.\nAnswer: 138138","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 188 (base 9) to base 3.\nAnswer: 12222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3375 and 125.\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of -x**4\/4 - 16*x**3\/3 + 13*x**2\/2 + 20*x - 15. Let g be s(-18). Let r = -295 + g. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -21 + 161. Let l(u) = -2 + s*u - 135*u - 1. Determine l(4).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-2)\/(-4))\/((-77)\/(-88)). Solve j + 6\/7*m**3 - 2\/7*m**2 - 2\/7*m**4 - 6\/7*m = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30109 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1732789 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 143281, 143466, 143651, 143836, 144021?\n\"Answer: 185*n + 143096","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 184 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -191.5 - -193.5. Let m be 2\/(-7) - 36\/21. Let g be ((-2)\/(-8))\/(m\/(-2)). What is the nearest to g in 1, k, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 779, 1556, 2333?\n\"Answer: 777*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 176\/56)\/((-1)\/(-7)). Let p = 10 - d. Find f, given that 2 + 2*f**3 - 2*f**5 + 3*f**4 + 4*f**2 - f - 5*f**p + f**5 - 4 = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4\/(-50) - (-456)\/75 - 6. Which is smaller: -1\/1948 or j?\nAnswer: -1\/1948","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -64634604?\nAnswer: 64634603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 8 = 4*k + 3, k - 21 = -5*z. Suppose -4*l - 1015 = -z*f, 0*l = 5*f - l - 1000. Let y = f + 101. What is y rounded to the nearest one hundred?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2.5 + 6.5. What is the nearest to 0.1 in 5, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19513 rounded to three decimal places?\nAnswer: -0.195","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 - 5 = -5*g + 2*x, -2*x = 4*g - 18. Suppose -z + h - 5 = -3*z, 3*z - 12 = -g*h. Differentiate 9*p - z - 2*p**2 - 9*p wrt p.\nAnswer: -4*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15.137418 months to centuries.\nAnswer: 0.012614515","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (75\/(-375))\/((-6)\/10*(-4)\/(-8)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k + 3*n - n = 1, -3*k = 4*n + 3. Let m(l) = l**2 + 6*l + 7. What is the units digit of m(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 123.14878952 to 0 decimal places.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2*o**3 - 6*o**2 + 103*o + 390. What is m(-4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -118*c + 2491 - 957 = 0. Solve -2*u - 3 = -5*v, 4*v - 25 + c = 4*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 3*r**2 - 32*r + 37. What is the hundreds digit of u(17)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -183*b**2 - b - 2. Let j be u(2). Let a = 1275 + j. List the prime factors of a.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**4 + x**3.\nAnswer: x**3*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 502*r**4 - 248*r**4 - 258*r**4 - 2*r**3 + 151*r - 70 + 73 to z*r**3 + f + t*r**4 + y*r**2 + h*r and give t.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2453?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0, 1\/5, 0.13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 48976937 to the power of 1\/2, to the nearest integer?\nAnswer: 6998","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -22922*k - 70017. Calculate a(-3).\nAnswer: -1251","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 10774*d**4*z + d**3*z**3 + 65*d**2*z**2 + 74*d*z**3 + 2 wrt d?\nAnswer: 258576*d*z + 6*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 19206 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) -1\/2 (c) 1\/2 (d) 2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (0 - 0)*((-4)\/1 + 5). Is 7\/(-14)*(-1964 - y) - -3 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1 - -4*(-1)\/(-1). Suppose n = i + 13. Suppose -57 = -4*u - 5*t, -35 - 22 = -3*u + t. What is the highest common factor of u and n?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*b**3 + b - b**3 - 60*b**2 + 0*b**3 - 7*b**3 - 4*b**2 as k*b**3 + a*b**2 + h + w*b and give a.\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-5)\/c**(-2))\/((c**1*c)\/(c*(((c\/(c\/(c\/(c\/(c\/c**(-1\/4)*c))*c*c)))\/c)\/c)\/c)))**13)**(-19\/4) assuming c is positive.\nAnswer: c**(2717\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/97, 5, -168?\nAnswer: -168","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is (1 - 286\/2)\/(-48 - -50)*-11 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1469*z + 127*z - 201*z + 1970*z.\nAnswer: 3365*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 4*m - 110. Let c be h(28). Let g(y) be the first derivative of -1\/4*y**4 - 4 + 0*y - 2\/3*y**3 + 0*y**c. Solve g(j) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-32)\/160)\/((-8)\/((-640)\/(-7)))?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 187627861 is divided by 71?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 14203847 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 13334, 55110, 125324, 223976, 351066, 506594, 690560?\nAnswer: 902964","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 261731 to the power of 1\/2, to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.03450563922 + -22425.73452963922. Let f = z - -22426. Let i = f - 0.3. What is i rounded to five dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4712124*s**4 - 48*s**3 - 499855301*s**2.\nAnswer: -113090976*s - 288","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*q + 4*q + 23 + 2*q - 2*q.\nAnswer: -q + 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 123 by 687.\nAnswer: 41\/229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -3 - -2.6. Suppose 4*y + 20 = 2*y. Let a be y\/(1\/((-4)\/8)). What is the second smallest value in 3, p, a?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 91, 351, 787, 1399?\n\"Answer: 88*r**2 - 4*r + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -1083 and -1.16.\nAnswer: -1084.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 17097 and -0.7614.\nAnswer: 17096.2386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 6635649 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*l**2*u**4 - 43525*l**2*u**3 + 41*l**2*u**2 - 72*l**2*u - 2*l*u**2 - l wrt u.\nAnswer: 72*l**2*u - 261150*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a**3 - 4*a**3 + 4*a**3 + (2 - a - 2)*(-1 - 4 + 0)*(12*a**2 + 318 - 318).\nAnswer: 58*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 41\/6 and -9\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -154e (base 15) to base 6\nAnswer: -33102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16389750 to the nearest integer?\nAnswer: 4048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 36 and 31455720?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -2*k**2. Let c(a) be the first derivative of -13*a**3 - 10*a**2 + 772. Calculate c(y(l)).\nAnswer: -156*l**4 + 40*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 181301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-38)\/19)\/((-12)\/(-54))\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -6*y - 1. Let t(s) = 4*s + 7 + s - 12*s - 8. Determine 3*g(q) - 2*t(q).\nAnswer: -4*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of 999.955 and 0.12.\nAnswer: 119.9946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00012791 rounded to five dps?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -76*z - 246*z = -8*z + 91*z + 12555 for z.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/(-12))\/(7\/((-28)\/5))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h = -5*i + 190, 9*i - 6*i - 40 = -39*h + 281 for i.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:57 PM and 2:26 AM?\nAnswer: 629","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is 1713.06368 rounded to two dps?\nAnswer: 1713.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -8*i**4 + 3159*i**3 + 1183585 wrt i.\nAnswer: -32*i**3 + 9477*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 2*h - 594 + 682 = 0 for h.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -g**3 + 12*g**2 + 6*g - 23. Let d be v(12). Which is smaller: d or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 20232850 and 1675.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7908, -7872, -7816, -7734, -7620, -7468, -7272?\nAnswer: -7026","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001093 to 5 dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 314943 to the power of 1\/3, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 73.\nAnswer: -3\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.93718277 rounded to four decimal places?\nAnswer: -0.9372","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: 9\/3*(-3)\/(-17)\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 23 + 3*x**2 - 4*x - 23 + 4*x. Let o(d) = 55*d**2 + 1. Give f(o(k)).\nAnswer: 9075*k**4 + 330*k**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-9)\/6*(279\/135 + 4 + -7). Put 7, 1, w, -1, -1\/3 in increasing order.\nAnswer: -1, -1\/3, 1, w, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2*b + 2)*(2*b + 2*b - 3*b + (-3 + 4 - 3)*(-3*b + 2*b + 0*b) - 1 + 9*b + 1).\nAnswer: 24*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3144.\nAnswer: 2, 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 45a33 (base 12) to base 4\nAnswer: 112232013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1749 + -19265\/11. Calculate the common denominator of -77\/4 and w.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4728, 7600, 10472?\nAnswer: 13344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = -332*r - 4319. Give j(-13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 78.63882 kilograms?\nAnswer: 78638820000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 455*s - 8276. Give m(17).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 + 18*j**2 - 19*j - 3. Let v be y(-19). Let g = 224\/45 - 6772\/1035. Is g bigger than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2309255.1 - -2309308.100132. Let q = -53 + d. Round q to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((0 - 1)*100\/(-60))\/(125\/4275).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*d + 2*t - 8 + 4, -d = -t + 2 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**3 - 100*h**2 + 11*h + 1133. Calculate the lowest common multiple of -1 + 0 + 9 + -4 and k(-100).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = r. Solve -n = r, -5*o + 3*n = -2*o - 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5 times 1113\nAnswer: 5565","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*z**3\/7 - 4590*z**2\/7 + 1755675*z\/7.\nAnswer: 3*z*(z - 765)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-5 + (-36)\/(-8))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4964924 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -0.5, 837.64367 in descending order.\nAnswer: 837.64367, 2\/21, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 68\/61173 and -53\/20391.\nAnswer: 61173","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*n + 3060*n**3 - 1133*n**3 + 0*n.\nAnswer: 1927*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*b**3 + 0*b + 2*b**3 + b**4 + 2*b + 2 - b**3 to w*b**3 + l + y*b**4 + q*b + c*b**2 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(143)*-2 + sqrt(143)) + sqrt(143))\/(3*sqrt(11)*2) - (-2*sqrt(156)*-6)\/((sqrt(588) - -1*sqrt(588)) + sqrt(12)).\nAnswer: -49*sqrt(13)\/30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4 * 0.208\nAnswer: 0.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y + 134 - 20. Let k = y + -33. Calculate the greatest common factor of k and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 4*k = 16, 2603 = -4*f - 5*k + 2557 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((k\/k**(4\/5))\/k*k)\/(k**6\/k))\/(k**(-2\/19)\/k**(-2)))\/((k**(-4)\/k*k**6)\/(k**(2\/3))**3) assuming k is positive.\nAnswer: k**(-541\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -90508, -361817, -813998, -1447051?\n\"Answer: -90436*d**2 - d - 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45*a - 1604 = 16576. What is a rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-231)\/132)\/(21\/(-6)) - 2\/(-6). Sort 0.7, 0, 1, -0.15, o.\nAnswer: -0.15, 0, 0.7, o, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -17\/84 - -11\/12. What is the second biggest value in -3, -0.5, z?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 129101, 129097, 129093, 129089, 129085, 129081?\nAnswer: 129077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -50*q + 11. Let y be m(2). Let d = 238 + y. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 307*u**3 + 195*u**2 wrt u.\nAnswer: 1842","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3567120017 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 502 - 943\/2. Let b = s + -31. Which is smaller: -1 or b?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(14\/(-10))\/((-468)\/(-780)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*g = -268*g - 294*g - 10458 for g.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.15 - -0.25. Let t = 0.4 + k. Which is the nearest to -0.1? (a) -3\/5 (b) -4 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (378*w**3 - 73789 + 73789)*(0*w - 10*w + 6*w).\nAnswer: -1512*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -32 - (34 + -40 + 30 - 12).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -12 + 10. Let m(v) = -v**2 + 4. Let b be m(z). Suppose 99*d - 101*d + 284 = b. What are the prime factors of d?\nAnswer: 2, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gg when two letters picked without replacement from {d: 2, g: 11}?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 2*u**2 - 4*u - 1. Let j(c) = c**3 - 57*c**2 + 11*c + 2. Let f(o) = -9*o**2 + o. Let p(s) = -6*f(s) + j(s). Calculate -2*p(x) - 3*w(x).\nAnswer: -2*x**3 + 2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1931 is divided by 44.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 3, 80 in descending order.\nAnswer: 80, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuruzru. What is prob of picking 3 u?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 33*m**2 - 5*m. Let x(y) = y**2 - 2*y + 1. Let c(b) = 62*b**2 - 5*b - 4. Let a(d) = -c(d) - 4*x(d). Let u(j) = 2*a(j) + 5*g(j). Determine u(1).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.076 and 9535942617.\nAnswer: 9535942617.076","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 - 712*k**2 - 2852*k - 4119. Let x(y) = 0. What is y?\nAnswer: -2, 1426","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/27, -4, 66114?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4066 to the nearest 100.\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -3*m**2 + 14*m - 6. Let r = -32 + 15. Let c(g) be the second derivative of 0 - 7*g + 1\/12*g**4 - 5\/6*g**3 + g**2. Give r*c(h) - 6*y(h).\nAnswer: h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-101*(-26)\/5252)\/((2*3\/6)\/(-94)).\nAnswer: -47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 13*a**2 + 5*a**2 - 6*a**2 - 11*a**2 + 44.\nAnswer: a**2 + 44","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1237513 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(156)\/((4*sqrt(96))\/sqrt(8)).\nAnswer: sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 1179 - 201. Let d = w - 238. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 24*f**2 + 3*f + 6. Let c be l(-10). Suppose 8*w - 3*r - 573 = 5*w, -c = -3*w + 4*r. List the prime factors of w.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + -5 + 0)\/(-3)*18666\/(-15555).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12985.6 + 12986. Let o(s) = 6*s**2 - 1. Let m be o(-1). Let z = -12 + 11. What is the second smallest value in m, -4, c, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hqoh when four letters picked without replacement from {b: 7, t: 2, h: 2, q: 1, o: 8}.\nAnswer: 2\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = r**2. Let v(f) = 73*f**2 + 20*f + 9. Let t(u) = 37*u**2 + 9*u + 4. Let z(j) = 9*t(j) - 4*v(j). Calculate z(a(c)).\nAnswer: 41*c**4 + c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 148?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -50.81 - -50.8103139. Round x to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-24)\/20*(-20)\/6. Let q(w) = -5*w + 2*w + 6*w - b*w. Let p(t) = -5*t - 1. Give p(q(u)).\nAnswer: 5*u - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-4 + 3 - 2)*(4 + 3 + 1) + 3 - 3 + 2 - 1 + 1 - 2 + (-3 + 4 - 2)*(1 + 0 + 0) + 1 + 2 - 2 + 1 - 2 + 0)*(29*p**2 - 27*p**2 + 19*p**2).\nAnswer: -525*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 29988 a multiple of 153?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*n**4 + n**4 - 3*n**4 + (4*n**4 + 3*n**3 - 3*n**3)*(-5 - 6 + 7) + 0*n**4 + n**4 - 3*n**4.\nAnswer: -20*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 755150 is divided by 51.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 + 5004?\nAnswer: 5005","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = p - 3. Let d be n(8). Suppose 5*h = d + 5. Find the third derivative of 3*u**h + 0*u**6 - 2*u**6 - u**2 wrt u.\nAnswer: -240*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14.78 + -14.7793887. What is t rounded to five dps?\nAnswer: 0.00061","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:47 PM and 8:05 AM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2057 - 3439. Let h = s - -2171. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -42*x + 78 + 174 = 0 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-1 + (sqrt(17) - (sqrt(17) - (sqrt(1700) + (sqrt(1700) - (0 + sqrt(1700))))) - (sqrt(17) + (0 + sqrt(17))*3))**2) + -4.\nAnswer: -2448","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 52104.2222 rounded to the nearest ten thousand?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 2*a**3 + 4*a**2 + 3*a. Let l = -7 + 4. Let c = l - -1. Let b be 2\/2*(0 + c). Determine t(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1253 = t + 4*i, -6311 = -7*t + 2*t + 3*i. Let d = t - 20161\/16. Find the common denominator of 67\/32 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = -0*z - 4*y + 57, -z - 5*y - 39 = 0. Let f be ((1 + 21\/(-12))*-2)\/((-21)\/(-728)). Let h = f + z. Solve 4*t = h*n, 3*t + 19 + 10 = -5*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-4*(-5)\/20). Suppose -13 = -9*f + n. Sort f, 5, -5, -2 in descending order.\nAnswer: 5, f, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fj when two letters picked without replacement from wjfjjfjujujjuuwjju?\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2186 + -832?\nAnswer: -2a08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 605 = 300567*k - 300556*k for k.\nAnswer: 55","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -10 + (0 - -4).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.022920239 - -5.\nAnswer: 4.977079761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 40430234 a multiple of 210?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = -50*f**2 + 5*f - 4. Determine x(1).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s**2 + 3*s - 6*s - s**3 + s + 3 - 4*s. Let w be x(-6). Suppose -n + 11 = w*o - 14, -2*n + 4*o = -40. Does 19 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 + 2 = 5*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 * -919\nAnswer: -1562.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that 4\/7*p**4 + 32\/7*p**3 - 108\/7 + 0*p + 72\/7*p**2 = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 13\/274680 and -143\/228900.\nAnswer: 1373400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 s when two letters picked without replacement from {s: 2, h: 1, m: 1, a: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppppnqpnpqpn. What is prob of sequence npnn?\nAnswer: 7\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*q**4 + 4*q**4 - 2*q**4)*(0*q + 2*q + q + (0 - 2*q + 0)*(-15 - 11 - 13) + 0*q + 3*q - 4*q) + 16*q - 16*q - 13*q**5.\nAnswer: 147*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millimeter in nanometers?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 243225 and 1525?\nAnswer: 14836725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 304 minutes before 6:31 AM?\nAnswer: 1:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1 + 1 - 4*f + (-2*f + 0 + 0 + f + 0*f - 2*f + (2 - 1 + 0)*(2*f - f + f) + 2*f - 2*f + 2*f)*(4 - 4 - 1 + (-2 + 1 + 3)*(3 - 4 + 2)).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 - -6. Let g(o) = 3*o - 2 + 3 + 6 - 10. Let h be g(q). Solve 0 = -0*f - 4*f + z + h, 4*z + 10 = 3*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 12022110111 (base 3) to base 6.\nAnswer: 2124104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.05 (b) -1 (c) 2 (d) 2\/19 (e) -7.2 (f) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 162 and 1656126?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*o + 3*o + 2032*o**3 - 10*o + 33*o.\nAnswer: 2032*o**3 + 32*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ycyccyyiyciiiy. Give prob of picking 3 c.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 44 - 39. Let h(p) be the first derivative of -p**2 + 0*p**4 + 0*p + 0*p**3 - 1\/2*p**6 - 3 + 0*p**l. What is the second derivative of h(v) wrt v?\nAnswer: -60*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 620 divide 13260861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -601 = -3*d + 2. Let s = 16 - 16. Suppose s = -5*j + 3*o + 155, 2*j - 2*o - 67 = -9. Calculate the remainder when d is divided by j.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -247.49, -2\/357, 3\/2 in decreasing order.\nAnswer: 3\/2, -2\/357, -247.49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 5*s - 15. Let v(u) = -23*u**2 - 3*u. Give v(f(w)).\nAnswer: -575*w**2 + 3435*w - 5130","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 6*j**2 - 12*j + 3. Let f be r(2). Put f, 2, -1 in decreasing order.\nAnswer: f, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/7 + 998*t**3\/7 - 120354*t**2\/7 + 1956762*t\/7 - 1837404\/7 = 0. Calculate t.\nAnswer: 1, 18, 159, 321","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, h: 1, z: 1, u: 1, e: 1, a: 1}. Give prob of picking 1 z and 1 a.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -2 and -54380?\nAnswer: 108760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 97911.18 months in decades?\nAnswer: 815.9265","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4, 14, 0.1, -16\/13, -5?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Add together -642 and 0.039.\nAnswer: -641.961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -30*r - 105. Sort -5, 4, r, 11 in descending order.\nAnswer: 11, 4, r, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = -2*o**3 + 167*o**2 - 66*o + 12561. Determine i(84).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 693.8 rounded to the nearest 100?\nAnswer: 700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - 23?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 691727638 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 2*k**2 + 6*k + 12. Let f be u(-4). Suppose t - 5*t = 4*n - 16, 3*t - 5*n = f. Solve 3*h - 2*b - t = 0, -h - 2*b = h + 10 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*z**5 + 4*z**5 - 4*z**5 + (z + 2*z**4 - z)*(-2*z + z + 3*z) - 28*z**5 + 1168*z**4 - 1168*z**4.\nAnswer: -22*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -5*o**5 + 1695*o**4 + 115380*o**3 + 2589500*o**2 + 23238000*o + 64800000 = 0.\nAnswer: -20, -18, -5, 400","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49 - -51. Calculate the smallest common multiple of -12*2*2\/(-4) and o\/5 + (-348)\/(-30).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 74 divide 141099278?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -19*i + 662. Give y(25).\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in nine tenths of a kilometer?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 11644 + -1350. Which is bigger: 10292 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = p**3 + 6*p**2 - 5*p - 5. Let d be u(-6). Let l = d + -24. Which is the closest to 0? (a) 4\/5 (b) l (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3\/8 + 7\/40. Let g = -40 - -45.1. Let t = 0.1 - g. Which is the third biggest value? (a) -1 (b) j (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -91, -185, -279?\n\"Answer: -94*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -4*a**3 - a + 2. Let t be m(1). Let p be (4\/t)\/((-721)\/180 + 4). What is the greatest common factor of p and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(sqrt(21) + sqrt(63)\/sqrt(3)))\/(sqrt(3)*-2*2)*-6.\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (-40)\/15*3\/(-108)*-3\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 183 = 3*k - 3*b - 0*b, -69 = -k - 3*b. Let q = 1 - -15. What is the remainder when k is divided by q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 261 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 265 is divided by 79.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 4 = 1. Let u be 15\/9 + b\/3. What is the third derivative of 0*w**2 + 5*w**6 + 2*w**u - 4*w**6 wrt w?\nAnswer: 120*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 6\/37 (b) 0.4 (c) 3 (d) 2\/9 (e) -2\/61\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3*210\/126)\/((-3)\/36*-4*1).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -180530493 divided by -2542683?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)\/w)\/((w**(-1\/3)*w)\/w)*(w*w\/(w*w*(w*w**4)\/w*w))\/w**(2\/25) assuming w is positive.\nAnswer: w**(-1243\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = -771*k + 6904. Determine j(9).\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*x - 4*u + 548 - 544, 181*x + 13*u - 2*u + 60 = 185*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 k when four letters picked without replacement from llklkllklklkl.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/29)*t)\/(t*t*t\/(t*t*t**4*t)) assuming t is positive.\nAnswer: t**(147\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1*8)\/(-55 + 49). Which is the closest to 0.7? (a) -2\/7 (b) u (c) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -9728, -19809, -29890?\n\"Answer: -10081*b + 353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hhppnppnppnnhapppp. Give prob of sequence nhn.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.6495044 to one decimal place.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = r + 10. Let f be p(-10). Suppose q + 8 = -z, -5*q + f*q - 35 = 4*z. Let x be -1 - (0 - -3)\/q. What is the second biggest value in -4, 0.3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 327647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2)\/1 + (9 - 2). Suppose 3*y - c*y = -28. Let h = 85 + -75. Calculate the smallest common multiple of y and h.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 3*q**2 + 76*q + 95. Give p(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -416*j - 8084 = 2462 + 4430 for j.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 192459 - 132779. Does 17 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) be the first derivative of -k**4 - 16*k**3 + 8*k**2 + 192*k + 365. Let q(g) = 0. What is g?\nAnswer: -12, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -4*b**2 + 5*b + 3. Let y(f) = -3*f**2 + 4*f + 2. Determine 4*s(c) - 5*y(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12511.\nAnswer: 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -70, 5, 10559.\nAnswer: -70, 5, 10559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -2*n**3 - 63*n**2 + 197*n + 924. What is p(-34)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, e: 7}. What is prob of sequence eie?\nAnswer: 21\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2\/2247 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s\/(s**(-1)\/s)*s*s\/s**11)**(-22) assuming s is positive.\nAnswer: s**110","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**2 + 10*n - 18. Does 15 divide x(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3762205059.\nAnswer: 3, 23, 41, 1329871","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-45)\/25)\/(10 - (-801)\/(-45)).\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 6*i**2 + 9*i + 3. Let l(w) = -17*w**2 - 26*w - 8. Determine -11*d(p) - 4*l(p).\nAnswer: 2*p**2 + 5*p - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -100 + 134. What is the common denominator of 121\/50 and l\/(-396) - 1 - 86\/(-387)?\nAnswer: 550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23257\/180 + -452\/45. Let x = v - -140. Let r = 1.83 + -1.43. Which is the second biggest value? (a) r (b) x (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**3 - 179*k**2 + 6515*k - 8384. Determine a(129).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -133863007*f**3*y - 3*f**2 + 19631*f - 603*y wrt f?\nAnswer: -803178042*f*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2. Let t(y) = 464*y - 6. Let d(o) = 179561*o - 2321. Let b(i) = 6*d(i) - 2321*t(i). Give b(x(u)).\nAnswer: -422*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7 - 4. Factor 260*a - 3*a**4 - a**5 - 260*a + q*a**2 + a**3.\nAnswer: -a**2*(a - 1)*(a + 1)*(a + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -176*d + 92*d = 0. Suppose -1\/4*j**2 + d*j + 0 = 0. What is j?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = k**3 + k**2 - k - 1. Let h(i) = 30*i**3 + 213*i**2 + 138*i - 45. Let u(f) = -3*f + 20. Let c be u(7). Let o(j) = c*h(j) + 3*m(j). Factor o(y).\nAnswer: -3*(y + 1)*(y + 7)*(9*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (129616\/14 - 5) + 11\/((-308)\/8)?\nAnswer: 19, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 783.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -2*p + 8. Let d(k) = 1. Let o(a) = -8*d(a) + m(a). Let s(f) = 2*f**2 + 3*f**2 - 7*f**2. What is s(o(z))?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 38*j = 89*j - 48*j + 123 for j.\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.7 - -37.7. Let r = -37.4 + k. Which is the nearest to 0? (a) r (b) 1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 199401 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.08 + 0.38. Let u = -5.5 + 1.5. Let q = 7 + u. Which is the nearest to q? (a) o (b) 1\/9 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.27 in -151, 57.3, 0.02?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*u + d - 118 = -d - 116, -17*d + 157 = -6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 44*k - 90 + 42*k + 90. Let w(b) = 2*b. Determine u(w(q)).\nAnswer: 172*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l + 2*l**2 - l**3 + 3 + 3*l + (-7*l**2 + l**2 + 0*l**2)*(2*l - 3*l + 4*l) to the form m + a*l + g*l**3 + x*l**2 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -714364*k. Let l(b) = 22*b**2. Calculate r(l(j)).\nAnswer: -15716008*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.506423 + 0.5043. Round q to 4 dps.\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-17955)\/(-450) - (-4)\/(-10) and -11\/15?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2180585 divided by -5.\nAnswer: -436117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + r = 3*s - 13, 12 = -4*s - 2*r. Are -2\/27 and s nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*93390\nAnswer: -280170","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 11. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11927026090 plus -2479?\nAnswer: -11927028569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -126 + 633\/5. Let o = 43\/24 + -9\/8. Let f = -0.14 - -0.24. Which is the nearest to f? (a) o (b) g (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify i**(4\/7)\/(i*i*i*i*i**(-6)) assuming i is positive.\nAnswer: i**(18\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 211.13445 months?\nAnswer: 0.175945375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = 13*i + 88. Let v be 20\/(-3)*-1*(-12)\/i. Suppose 5*r - 110 = 15. Calculate the greatest common divisor of r and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 10461 and 4823472?\nAnswer: 951","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -81 - -88. Suppose 0 = s - 3, 4*b + v = 5*s - 0*s. Let a be 5*((-10)\/(-5))\/b. Solve a = -2*c - 3*c for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 9*d**3 + 165*d**2 - 3*d - 166713?\nAnswer: 27*d**2 + 330*d - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/2, 3, 3456?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-16*m + 12*m - 2 + 5)*((0 + 4 - 6)*(-6 - 4 + 5) - 15 - 8 - 3).\nAnswer: 64*m - 48","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**4 - 136604184*c**3 + 1555058590525488*c**2 - 5900764161970122762272*c.\nAnswer: 4*c*(c - 11383682)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -4.923767955?\nAnswer: 2.923767955","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*w**3 - 4 + 6 - 22 - 10*w**3.\nAnswer: -2*w**3 - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the third derivative of -535*h**9\/84 - 37*h**5\/60 + h**4\/24 + 11*h**3\/6 - 149*h**2 + 5. What is the third derivative of w(y) wrt y?\nAnswer: -385200*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.05426 rounded to 3 decimal places?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 - 24994.934947?\nAnswer: -24994.834947","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) be the second derivative of 11881*p**5\/20 + p**4\/6 - 1501*p**2\/2 - 12560*p. What is the third derivative of a(t) wrt t?\nAnswer: 71286","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 237 + -715. Is 20 a factor of b\/(-6) - 4\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2, -16, -2\/9, -5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {h: 1, e: 5, o: 6, p: 1, d: 1}. Give prob of picking 2 o, 1 e, and 1 p.\nAnswer: 75\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*s - 6, 0 = -6*n + 3*n + 4*s + 4. Let z be 24*(-6)\/(-40) - 4\/(-10). Calculate the greatest common divisor of z and n.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-20224)\/(-88) + (-4)\/(-22) + 3. Let b(n) = -c + n + 233. Let t(s) = 180*s. Calculate t(b(d)).\nAnswer: 180*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1692 + 15230\/9. Factor w*h**2 + 2 - 4\/3*h.\nAnswer: 2*(h - 3)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 11697 at most as big as 11722?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f - 66 = -171. Let o be (-9)\/6*(-1 - 21\/f). Let h = 0.3 + -0.8. What is the biggest value in 0.3, h, o?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the second derivative of -d**8\/336 - d**7\/105 + d**6\/120 + d**5\/30 - 29*d**2\/2 + 29*d. Let f(h) be the first derivative of u(h). Factor f(m).\nAnswer: -m**2*(m - 1)*(m + 1)*(m + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 17, 7, -3, -13, -23, -33?\n\"Answer: -10*n + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 59 divide 99684?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 13 times 1458417\nAnswer: 18959421","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.08141 - 0.38141. Which is the third biggest value? (a) f (b) -0.03376 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -52 smaller than 52302?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13 + -10. Let u be i\/3*(-12)\/(-3). What is the third derivative of -3*y**u + 6*y**4 + 1 + 3*y**2 - 1 wrt y?\nAnswer: 72*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - q = -1, -2*r - 4*q + 5 = 1 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/256 and 735\/2592*(-183)\/(-854).\nAnswer: 2304","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11000100100101000011010 (base 2) to base 8.\nAnswer: 30445032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -82 - -82.04. Which is the third biggest value? (a) s (b) 1 (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22 and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/5 (b) -3\/34 (c) -0.225 (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -w**2 - 6*w - 2. What is the common denominator of u(-4) and (-1)\/(-1) - (-162)\/(-21)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -17 - 2*k**2 - 16 - 3*k**2 + 3*k**2. Let t(v) = v**2. Calculate q(t(m)).\nAnswer: -2*m**4 - 33","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 618 a factor of 1627749479?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 322 minutes after 2:38 AM?\nAnswer: 8:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l**(2\/25)*l*l*l*l**(-2\/3) assuming l is positive.\nAnswer: l**(256\/75)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5.895423 litres?\nAnswer: 5895.423","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36 - 38) + 1 + 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -11209000 rounded to the nearest 1000000?\nAnswer: -11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 475, 474, 473?\n\"Answer: -j + 476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 24 + -23.8. Which is the second smallest value? (a) h (b) 0.3 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -31*t + 1. Let g be l(-1). Suppose g = 4*s - 104. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 444797 = 5*b + 7*d, 29*b + 3*d = 24*b + 444773. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/4*12\/3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Are 0.1 and -5.11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the first derivative of 0*k - 3\/32*k**4 + 3\/40*k**5 + 0*k**2 + 0*k**3 - 19. Factor j(f).\nAnswer: 3*f**3*(f - 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 11913650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u = 15, -4*z + 32*u + 19 = 87 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u = -4*u + 12. Let f be 66\/(-429) - (-7)\/((-91)\/(-4344)). Suppose -329 - 5*k**2 + 5*k - 3*k**3 - 2*k**u + f = 0. Calculate k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 45831, 45826, 45821, 45816, 45811?\n\"Answer: -5*j + 45836","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 u when three letters picked without replacement from uuuluuluuuuulu.\nAnswer: 165\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 a and 2 k when four letters picked without replacement from aaykkakkyyykkka.\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.57946 rounded to 2 decimal places?\nAnswer: 1.58","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**2\/2 - 13521*a\/2 + 13519.\nAnswer: (a - 13519)*(a - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 3047764249 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1 and 156696.\nAnswer: 156697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 54927893 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - d = 27, c - 5*d - 7 = 2*c. Suppose c*u = 3*u + 140. Solve -5*z + 4*y + u = 0, 0 = 5*z + 4*y - 5*y - 22 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/27*3)\/((-4)\/12).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 divided by 353157?\nAnswer: -1\/117719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -257034 and -257034 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -30331102 (base 4) in base 12?\nAnswer: -2686a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40847 is divided by 62?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -8*s**2 - 13*s + 1. Let w(y) = -y**2 - 2*y. Calculate -n(o) + 6*w(o).\nAnswer: 2*o**2 + o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12 + 39. Let t = 35 - u. Find the third derivative of t*v**2 - 13*v**2 + 9*v**6 + 16*v**2 wrt v.\nAnswer: 1080*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h**3 + 4*h**2 - 8*h - 19. Let u(x) be the first derivative of -x**3\/3 - x**2\/2 - 6. Let z(l) = -s(l) + 5*u(l). What is the tens digit of z(9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*c**(3\/7)*c\/(c*c**(2\/13)*c))\/(c**(-1\/6)\/c**(1\/4)) assuming c is positive.\nAnswer: c**(755\/1092)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (-5 + (-4*(1 + sqrt(2448)) + -1*sqrt(2448)*3 - (1*sqrt(2448)*3 - (sqrt(2448)*2 - sqrt(2448))*-1)))*-4)**2.\nAnswer: 40128*sqrt(17) + 4740772","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -472*f + 8. Let h be y(-7). Let b = -2179 + h. What is the thousands digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-53)\/(14310\/120))\/((-7)\/252)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7084, 14164, 21242, 28318, 35392?\nAnswer: 42464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -25 - -29. Suppose -a = 5*k - k + 12, -f*a + k = 31. Let h(p) = p**2 + 8*p - 6. Calculate h(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 162, 233, 330, 471, 674, 957?\n\"Answer: 3*b**3 - 5*b**2 + 65*b + 99","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 5*c + c)*(-1 - 3 + 2)*(-4 + 6 + 0) + 2*c + 2 - 2.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2516 - -1?\nAnswer: -2515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 86955258 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 76 + -64. Suppose 8*o = c*o - 8. Solve s = o*w + 4, -w - 20 = s - 6*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -3240, -6426, -9572, -12678, -15744?\n\"Answer: 20*s**2 - 3246*s - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-2\/47))**(2\/13)\/(k**(-1\/34)*k*k**(-20)))**37 assuming k is positive.\nAnswer: k**(14621697\/20774)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert 83.20755 millilitres to litres.\nAnswer: 0.08320755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 103*x**2 - 215*x + 49*x + 170*x.\nAnswer: 103*x**2 + 4*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2001 and 5021475?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 6 + (0 - -2 - 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 316732 is divided by 5976?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 39 + 1 + ((-26 - 72) + 64 - -27).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 32 = -5. Let g be (2\/(-5))\/((-1)\/60). Suppose 3*d = g - 9. What is the remainder when x is divided by d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 5 (b) 0.4 (c) -2\/17 (d) 0.57 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*n = 3*n - 462. Suppose -n*a = 7*a + 9*a. Let k(d) = -d**2 - d + 16. Give k(a).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.23, -5, -55, -8, -13, 4 in ascending order.\nAnswer: -55, -13, -8, -5, 0.23, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*q**3*x - f**2*x + 54*f*q**3*x + 36*q wrt q.\nAnswer: -6*f**2*q*x + 324*f*q*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -31*n + 2*n + 2*n + 27*n - 2 + 26*n**2.\nAnswer: 26*n**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1032.18138 - -1.20138. Round d to the nearest 100.\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, 3\/237946, 45.\nAnswer: -2\/7, 3\/237946, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*s - s + 0*s)*(3 - 1 - 3) + 6396 - 6394 + s - 270*s.\nAnswer: -268*s + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 1 = -14. Solve -12 = -0*f + s*f for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*j**6 - 104172*j**3*o + j**2*o - 3*j**2 + 3*j*o - 120*j + o + 7 wrt j.\nAnswer: 480*j**3 - 625032*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uwmuwhehhuwmhuwu. Give prob of sequence hew.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -2*q**2 + 98*q + 66. Let p be w(49). Calculate the highest common factor of 22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -155*k**2 - 2*k + 153. Suppose 50 - 17 = -11*u. Let m(i) = 152*i**2 + 3*i - 154. Let w(l) = u*x(l) - 2*m(l). Differentiate w(f) wrt f.\nAnswer: 322*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3543395 to the power of 1\/3, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -1 - 143\/(-13) - 11\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2857 - 4079. Calculate the common denominator of 16\/7 and (d\/(-48))\/13*8\/(-12).\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10204609.\nAnswer: 10204609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -80 + 83. Let k(a) = a**3 + 4*a**2 - 2*a - 6. Let d be k(-4). Find the second derivative of -2*h**d + m*h + 4*h - 10*h wrt h.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/((-54)\/12) - (-21)\/(-18). Let h = 2.5 + -2. What is the closest to f in h, -4\/7, 1?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/25 of a kilometer in meters?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -4, 5, -7, -9.\nAnswer: -11, -9, -7, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u*u*u**4)\/u))\/(u**(4\/9)*u*u))\/(u**(2\/13)*u)**16 assuming u is positive.\nAnswer: u**(-2914\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*c + 4*c + d + 20, 5*d = 2*c + 8. Let s(l) = l**2 - 5*l. Let m be s(c). Let o(y) = -1 - 2 - 2*y + m. Determine o(-3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + (0 - (4 - 5)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**2 + x - 1. Let t = 1 + 1. Suppose c = -t*c + 9. What is b(c)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 9\/4*d**3 + 6*d**2 + 15\/2 - 99\/4*d = 0. Calculate d.\nAnswer: -5, 1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 421776042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4723171250?\nAnswer: 2, 5, 7, 59, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9857, 19846, 29835, 39824, 49813?\nAnswer: 59802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 92 = 23*n. Let h(r) = -r**3 - 3*r**2 + 7*r. Let p be h(-5). Solve -2*g - 5*x + 0*x - n = 0, 5*g + 4*x = -p for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 5*o - 10 + 3 - 20 = 0, -5*f - 22*o = 96 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 - 73. Let r = 43 + z. Suppose 3 - 14 = -r*u. Which is smaller: u or 26\/15?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*(55\/(-50))\/(-11).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1 - (4 - (1 + 5) - (223 - 217))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -33202 - 1?\nAnswer: -33203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 8*u + 345. Let m be c(-43). Calculate the highest common divisor of 9 and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1727 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(80)*-2)*-6)**2.\nAnswer: 576*sqrt(5) + 11556","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w = -2*n + 30450 - 30510, 30 = -n + w for n.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -28\/48201199?\nAnswer: -28\/48201199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(-2)*m\/(m*m*m\/(m**(-3\/5)*m)*m*m)*(((m*m*m\/((m**(-2\/13)\/m)\/m))\/m)\/m)\/((m*m\/(m*m**(1\/5)))\/m)*((m**0)**(21\/5))**(-33) assuming m is positive.\nAnswer: m**(-146\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 38*h. Let v(i) be the first derivative of -35*i**2 + 1331. Give v(u(q)).\nAnswer: -2660*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 59 = -2*c, 8766*o - 2*c - 45 = 8763*o for o.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 4 = -4. Suppose 5*l + t*u + 0*u + 10 = 0, -2*l = 3*u + 11. Solve l*m = m + 4 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*l + 3*l - 28*l to o + m*l and give m.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t**3\/3 + 2*t**2\/3 - 26*t\/3 + 4 = 0. What is t?\nAnswer: -3, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {j: 2, l: 4, h: 1, v: 1, s: 3, u: 4}.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 11*r + 22. Let q(j) = j + 1. What is n(w) - 22*q(w)?\nAnswer: -11*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-12 + 11 - -1)*2\/4. Let q be (25 - a)*(-272)\/(-170). Let g(w) = 3*w + 1. Let b be g(5). What is the highest common divisor of b and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.599882mg in tonnes?\nAnswer: 0.000000005599882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 374 minutes after 12:03 PM?\nAnswer: 6:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -13543*u**3 - 18*u**2 - 9*u - 72. Let f(r) = 6772*r**3 + 10*r**2 + 5*r + 40. Calculate -18*f(p) - 10*j(p).\nAnswer: 13534*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 84 and 120?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 3*d**3 - 4*d**2 + 5*d - 6. Let t be k(3). Let g be -56*(-2)\/t + -2. Let b = -2 + 3. Is b bigger than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 68\/(-51) - 1 - (-1 - 2)\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**3 + 1088*p**2\/7 + 312*p\/7.\nAnswer: -2*p*(p - 78)*(7*p + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 53758008 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 1, q: 2, e: 1}. Give prob of sequence rqqe.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) be the third derivative of -b**6\/20 - b**5\/30 + b**4\/12 + b**3\/6 - b**2. Let y be -3*(-7)\/(42\/(-4)). Is q(y) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:13 PM and 4:05 AM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z**(3\/5)\/z)\/z)\/z)**(8\/13))**(-17\/4)*(z**(-3\/10)\/z**(-1\/9))**(2\/3) assuming z is positive.\nAnswer: z**(2159\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 63891 and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9749 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 0.5, -4.42, -0.2, 0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6004 divided by 76\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 - -21. What is the third derivative of -27*b**4 - 2703 + 12*b**a + 2703 wrt b?\nAnswer: -648*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) be the first derivative of 41*c**4\/2 + 89*c**3\/3 - 107. Find the third derivative of j(m) wrt m.\nAnswer: 492","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -176355 and -176345 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v - 5*m - 41 - 4 = 0, -14 = 2*v + m for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 510*b**2 - 48*b. Let d(s) = 170*s**2 - 14*s. Give 7*d(u) - 2*y(u).\nAnswer: 170*u**2 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 847 and 605.\nAnswer: 4235","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 2*t**3 + 0*t**3 + 14*t**2 - 3*t**3 - 4*t**2 + 12 - 8*t. What is the tens digit of g(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 170355921*l**2*z - 211276*l*z + 2*z - 2 wrt l?\nAnswer: 340711842*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, y: 1, c: 6, p: 2}. Give prob of sequence ccfy.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 divided by -24536318?\nAnswer: -13\/12268159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 2*x + 13, 2*x - 6 = -4*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 48697072121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 311353685 - -1.6.\nAnswer: 311353686.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-9 + 0 + (8 - -9) - 3 - -36) + -1\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2357 (base 8) to base 15\nAnswer: 593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 61\/(-1952)*8*(-200)\/2?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4267378951.\nAnswer: 11, 18233, 21277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 996?\nAnswer: 3984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - (4 - (-5 + 11)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 o, and 1 l when three letters picked without replacement from zzlo?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -9 - -15. Suppose -3 = -4*a + 9. Suppose -t = -a*t + 4. What is the least common multiple of t and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8? (a) -1 (b) 8 (c) -0.3 (d) 2\/7 (e) 14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -5\/4 (b) 2 (c) 2\/9 (d) 72 (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 160, 335, 614, 997, 1484, 2075, 2770?\n\"Answer: 52*u**2 + 19*u + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**(3\/10)*z\/(z\/(z\/z**(1\/7))))\/(z**(-6)\/((z**0\/z*z)\/z)))\/((z\/(z*z**2))\/z**6*((z*(z\/(z**1*z))\/z)\/z)**15) assuming z is positive.\nAnswer: z**(3091\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 19 = 3*i - 0*q, 0 = -5*i + 2*q + 5. Sort i, -3, -5 in increasing order.\nAnswer: -5, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5327*h - 169880000 = -5337*h. Round h to the nearest one hundred thousand.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 33171 and 5771754.\nAnswer: 5771754","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*m - 4*k = 38, 0 = -4735*m + 9470*m - 4733*m + 5*k - 2 for m.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Factor -y**5\/10 - 19*y**4\/10 - 51*y**3\/5 + 7*y**2\/5 + 1127*y\/10 + 1029\/10.\nAnswer: -(y - 3)*(y + 1)*(y + 7)**3\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 144269 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -5*c**2 - 134*c + 34. What is s(-26)?\nAnswer: 138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-362 + 724 + 70*p - 361)*(2*p - 2*p + 2*p) - 8*p**2 + 2*p**2 - p**2 + (-2*p + 4*p - 4*p)*(p + 2*p - 2*p) to u*p**2 + r*p + q and give u.\nAnswer: 131","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1504 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -136185, 3 in descending order.\nAnswer: 3, 0, -136185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 492 minutes after 2:49 PM?\nAnswer: 11:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -30*p**2*z**4 - 2*p**2*z + 2*p*z + 25*z**5 + 986*z wrt z?\nAnswer: -360*p**2*z**2 + 500*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4392.478954 + 450.48784. Let d = v + 3942. Let c = -0.009 + d. Round c to 5 dps.\nAnswer: -0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from eeeee?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**4\/3 + 112*q**3\/3 - 686*q**2 + 2804*q. Find x, given that t(x) = 0.\nAnswer: 7, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y. Let c(q) = q**3 - 22*q**2 - 74*q + 5. Let r be c(-3). Let b(d) be the first derivative of 1\/2*d**r + 34 + 0*d. Determine b(f(s)).\nAnswer: 3*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 + 1)*((3 + 2 - 3)*(56*k - 28*k - 17*k) - 4*k + 3*k + 4*k) as d + g*k and give g.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((13\/(520\/(-16)))\/1).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (4 + -10 - 0) + 1\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 4*l = -9, 10 = -2*r - 103*l + 98*l for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 220025 minus 6.6439935?\nAnswer: 220018.3560065","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 5592?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -181*d + 4 - 184*d + 2*d**2 + 367*d to f + p*d**2 + r*d and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 409976 is divided by 240.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*t**3 + 4*t**2 - 57 + 3*t + 55 + 0*t**3 to z + n*t + x*t**2 + r*t**3 and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -274 - 1307b?\nAnswer: -13311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*r**3*x**4 + 3*r**3*x - 2*r**2 + 9214*r*x - 68875*x**5 wrt x?\nAnswer: -24*r**3*x**2 - 1377500*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:23 PM and 1:57 AM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 11940, -2.\nAnswer: -2, 0.4, 11940","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) be the first derivative of -7*s**2 + 6*s - 408. Let y(o) = 28*o - 11. Calculate 11*d(m) + 6*y(m).\nAnswer: 14*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70244 is divided by 199.\nAnswer: 196","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = -10*b + 10 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 32, 24, 18, 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10 - 0)\/((-890)\/2225)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + -0.49. Let s = x - -0.21. Let t = -0.21 - s. Which is the second biggest value? (a) 0.2 (b) t (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 141823 and 90251.\nAnswer: 992761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-370)\/45 + 4\/18. Let z = f - -13. Suppose 0*m + 26 = m - y, -4*m + z*y = -99. What are the prime factors of m?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 16.7 * 174678.\nAnswer: 2917122.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -5*r - 1. Let j(h) = -3*h + 12. Let d be j(5). Let m be l(d). Solve 2*a = 2*n - 25 + 11, m = 3*a + 4*n for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31 - 31.13. Let h = 0.07 - t. Let x be ((-1)\/(-11))\/(2\/2). Which is the third biggest value? (a) h (b) -3 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -1\/19, -9\/8, -575\/19?\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 12 and 62204.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -22*i**2 + 23*i**2 + 12*i**2.\nAnswer: 13*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1 - (552\/(-32) - (-1)\/4). Suppose -4*v - 12 = -6*c + c, f = 5*c - v. Suppose g = c*g - 30. What is the least common multiple of g and 69?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 5*l**3 + 110*l**2 + 285*l = 0.\nAnswer: -19, -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -20*x**3 + 11*x**2 - 11*x - 11. Let a(u) = -7*u**3 + 4*u**2 - 4*u - 4. Calculate -17*a(g) + 6*p(g).\nAnswer: -g**3 - 2*g**2 + 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Add 27 and -8382.\nAnswer: -8355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -25\/200271 and 77\/1662?\nAnswer: 400542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - (-17)\/((-2805)\/506))*-3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*-10*2\/80*24?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*l**3 - 2*l**3 - 4*l**3 + (4*l - l**2 - 4*l)*(3*l - l - l) + l**3 + 42 - 33 - 23 as k*l**2 + r + b*l + y*l**3 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5*((-6)\/140)\/((-234)\/(-104)).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -s**3 + s + 2. Let t(x) = 312*x**3 - 2*x**2 - 2*x + 321. Let q(b) = 2*f(b) + t(b). Find the third derivative of q(w) wrt w.\nAnswer: 1860","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2106*t - 1290.\nAnswer: -2106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 x, 1 s, and 1 c when four letters picked without replacement from cxcxxscsxscxsc.\nAnswer: 200\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 15555530*j**3*u*w**3 - 3*j**3*w**3 - 5*j**2*u*w**2 + 44*j**2*w**3 + j**2*w**2 - 178*j*u*w - 3*u*w**3 wrt j?\nAnswer: 93333180*u*w**3 - 18*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 114589 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*g - 3*g + 4*g)*(0*g - 5*g + 3*g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f + 48*w - 46*w - 6 = 0, -5*f + 2*w + 10 = 0. Factor -3\/2 - 9*t - 27\/2*t**f.\nAnswer: -3*(3*t + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -101\/437168 and -23\/98362800?\nAnswer: 98362800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/12*-2*2 + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -c3a7 (base 14) in base 4?\nAnswer: -20031333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*q - 2*q - 5*q - 3*q - 12 as j*q + m and give j.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5998391 to the nearest integer?\nAnswer: 2449","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**2 - 36*x + 108.\nAnswer: 3*(x - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*-3 + (3 - 1). Let k = 3 + -1. Let v be (2 - 4) + k + 5. Put g, v, -0.3 in decreasing order.\nAnswer: v, -0.3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*c - 3*u + 3, 4*u + 19506 = 2*c + 19522 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*s**2 - 14*s**2 - 9*s**2 - 12*s**2.\nAnswer: -38*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-3)\/(-26)*(-8)\/(-6). Let k = -73564.8 - -73565. Which is the biggest value? (a) y (b) -29 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 243.7 - 244. What is the third smallest value in 2, 6, 4, t?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (1 - 0 - -1) + (-244 - -242)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4\/3*x**4 + 0 + 4\/3*x**3 + 4\/9*x**5 + 0*x - 4\/9*x**2 = 0. Calculate x.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -19957552 divided by 9978776?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*v**3 + 13655*v**2 - 9478000*v + 210831340.\nAnswer: -5*(v - 1354)**2*(v - 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2\/5 - 51172*k\/5 + 102352\/5.\nAnswer: -2*(k - 2)*(k + 25588)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5237?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 8 + 2 = 0. Let s = w + 30. Suppose -4*a + s = -92. Is 10 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, r: 2, c: 2, v: 1, a: 1}. What is prob of sequence nnr?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (30 - 78 - 102 + 2)*(-d**3 + 5*d**3 - 2*d**3).\nAnswer: -296*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 0, 1, -1, 15, -54 in decreasing order.\nAnswer: 15, 5, 1, 0, -1, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 2*k - 30. Let b(t) = 2*t - 481. Give b(x(c)).\nAnswer: 4*c - 541","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20845?\nAnswer: 5, 11, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4307 and 7081.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) be the first derivative of 12*r**5\/5 + 3*r**2 - 15. Find the second derivative of j(d) wrt d.\nAnswer: 144*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 3147, 54, -0.2, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -275925*n**2 + 3*n - 197196.\nAnswer: -551850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor j**2\/3 + 328098*j.\nAnswer: j*(j + 984294)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-4)\/8)\/((-1)\/70). Suppose -4*q - d = -7. Is 5 a factor of ((-20)\/(-14))\/((-1)\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 599 divide 47524061?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 3*f. Let m(u) = -u**3 - u**2 - u. Let a be m(f). Differentiate a + 2*z**4 - 1 + 4 with respect to z.\nAnswer: 8*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 546964361 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 8, i: 2}. Give prob of sequence gig.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 u, and 1 w when three letters picked without replacement from wullwuuuummuuuuwl.\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5488)\/(-1960) + (-32)\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 32155932 divided by 4\nAnswer: 8038983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -27 - 629?\nAnswer: -653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 34905 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 610214, 610225, 610260, 610331, 610450?\n\"Answer: 2*v**3 - 3*v + 610215","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.58 + 3.48. Let n = -18 + 15. Let v = q + n. Which is the nearest to v? (a) -0.3 (b) 0.4 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 7 = 5*n + 3*i, n - 5*i = 16. Let s be -2 - 0 - -2*n. Suppose s = 4*w - 4 - 0. Solve 5*j - w = -g, 0 = -j - 4*j for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.5321514 centuries to months.\nAnswer: 638.58168","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -5355 times -1.6\nAnswer: 8568","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -113124 (base 6) to base 8\nAnswer: -23054","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 97 - (38 - -14) - 98.\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -185, -692, -1537, -2720, -4241, -6100, -8297?\nAnswer: -10832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = 25990*j**2 - j + 3. Let a be q(2). Suppose -a - 35514 = -25*g. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6682)\/390 - -17)*-1.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.74 (b) 6\/7 (c) -4 (d) 4 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/11*a - 2\/11*a**2 + 4\/11 = 0 for a.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l = 5*p + 3, -8 = -2*p - 2*p + l. Let k(d) = -2*d + 1. Let t be k(p). Let i(x) = 3*x**2 - 2*x - 1. Determine i(t).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -11\/4 (b) -16 (c) -2.63\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -4*t - 4. Let l be p(-5). Suppose -4*u = -0*u - l. Solve -3*b + u*m = 1, -3*b = -0*b - 2*m + 5 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -364775195\/87832 - 260\/10979. Let o = q + 4159. What is the common denominator of 29\/22 and o?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 8 = -5*h. Let b be h\/11 - (-84)\/22. Let d be (0\/(-1))\/(b\/2). Solve 3*r + 17 - 2 = d for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -dc (base 16) to base 10\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m. Let s = 3 - 1. Let y be r(s). Let d(f) = -6*f**2 - 4*f**2 + 0*f + 2*f + 11*f**2. Give d(y).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/25609138 and -31\/18.\nAnswer: 230482242","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 12 = -7. Let k(g) = g**2 + 23*g + 82. Let q be k(l). Solve -q*y = -2*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) be the third derivative of a**4\/12 - 4*a**3\/3 + 3*a**2. Let u be m(6). Suppose 3*o + 3 = 6*o - 3*b, -b - 7 = -u*o. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -215*l + 221*l - 288. Is 2 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3721 - -3722. What is the closest to 1 in 0, -1.1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (19 - -3) + -41\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.668637 microseconds in milliseconds?\nAnswer: 0.003668637","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49002236 to the power of 1\/8, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 13*q - 1. Let m(d) = -76*d - 11. Calculate -2*k(y) + m(y).\nAnswer: -102*y - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3523, -13459, -30053, -53335, -83335?\nAnswer: -120083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*v + 1 = -3*x + v, -2*x - 2 = 4*v. Let j(a) = -3*a + 4*a - x*a - 7 + a. Suppose -b + 4*d = 5*d + 4, 2*b - 4*d + 14 = 0. Give j(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 103*n = 98*n + 15 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + 29*p**2 - 57*p - 107. Let s(d) = -d**3 + 28*d**2 - 59*d - 104. Let m(h) = 3*f(h) - 2*s(h). Is 13 a factor of m(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = w**2 + 8*w - 16. Give n(-10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3, -3*j + 8*a - 3*a - 5 = 0. Suppose -c - 3*c - 60 = j. Let k be 6\/c + (-6)\/(-15). Put 1, k, -4 in descending order.\nAnswer: 1, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3006713723?\nAnswer: 13, 4621, 50051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 14, 0, 2 in descending order.\nAnswer: 14, 2, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:43 PM and 11:42 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 16\/140*248\/(-496)\nAnswer: -2\/35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000821 to 5 dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**4\/24 + 25*c**3\/6 + 22*c**2. Let r be y(-11). Let z be (-2)\/r + 0 + (-43)\/(-7). Let h(s) = 3*s + 2. What is h(z)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4 - (-3 + (11 - (15 - 9)))) + -27?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*(3645\/(-126))\/81?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/(-49))\/(27\/21).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 186621719 is divided by 645.\nAnswer: 644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -8*p**4 - 521118*p**3 + 771*p**2 - 22*p + 60 wrt p.\nAnswer: -192*p - 3126708","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 164 - 4778?\nAnswer: -4614","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-16 - 1)*1 + 7. Let j(v) = -35*v - 174. What is the remainder when j(n) is divided by 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60686067283 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j = -3 - 7. Let i(o) be the second derivative of o**4\/12 - 5*o**3\/6 + o**2\/2 + 34641*o. Determine i(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4115 - 4113. Which is the closest to p? (a) -2\/5 (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/9, 5, 1\/3, 0.4, -1\/6 in ascending order.\nAnswer: -4\/9, -1\/6, 1\/3, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2612490.\nAnswer: 2, 3, 5, 87083","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5976 and 3154.\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5653757837 - 0.4\nAnswer: -5653757837.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1243 a factor of 2566396889?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is (-150)\/(-35) + (-4 - 0)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 488 divided by 244\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -20*j. Let k be 9\/(-2)*(-32)\/(-24). Let p be u(k). What is the tens digit of p\/4*(-2)\/(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) be the first derivative of 1\/3*n**3 + 44*n**2 + 1936*n + 48. Determine i, given that o(i) = 0.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 145441718.59 rounded to the nearest 1000000?\nAnswer: 145000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-7)\/(w\/((w\/w**(-1\/2))\/w)))**(-28) assuming w is positive.\nAnswer: w**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 573*a + 1943680000 = 557*a. What is a rounded to the nearest one million?\nAnswer: -121000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 79989?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 18*o**3 + o**2 + o. What is d(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/8 of a litre?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/14 - (-247)\/91. Solve 2*n = -5*i + 3, -2*i = -u*n - i - 4 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (sqrt(147)*1 - sqrt(147)) + -4 + (sqrt(147) + 2*(sqrt(147) + -1) - sqrt(147)))**2 + 6*-2*sqrt(147)*-2*-5.\nAnswer: -924*sqrt(3) + 597","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -2 + 67\/(-100) - -2 and (-6*2\/(-880))\/((-582)\/19788).\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by 8425.\nAnswer: 2\/8425","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -335*f + 679*f - 403*f - 1 to y + i*f and give i.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out 20363 * 0.9.\nAnswer: 18326.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yycnnzzh. What is prob of picking 2 n, 1 h, and 1 c?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*q - 5*q + 5*q - 1 - 6*q.\nAnswer: -23*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3\/4*z**2 - 3\/2*z + 3\/4 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.9 + -1.2. Which is the smallest value? (a) -1\/5 (b) h (c) -1\/3 (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 534\/168749 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 48569\/3 or 16190?\nAnswer: 16190","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {t: 1, q: 1, r: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -291 + 226 = 13*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-343)\/(-28) - 1\/4. Suppose z + 8 = 2*f, -4*f + 6 = -z - c. Let j be z\/(-2)*(1 - -2). Let b(s) = 3*s + 4. What is b(j)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (14 - (45 - 34))*((-98)\/6 + 3)\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -19 + 0.104\nAnswer: -18.896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -201 + 205. What is the greatest common divisor of 156 and k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (63 - 21) - -68\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1\/24987573 or -1?\nAnswer: 1\/24987573","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.113 and 2795?\nAnswer: -315.835","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kp when two letters picked without replacement from ccchppcckcpfkh?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(sqrt(1053) + 3 + sqrt(1053) + -4)**2 + -4.\nAnswer: -8430 + 72*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 47*v**4 + 5*v**2 - 5*v**2 - 1 + 2*v**2 + 25*v**4 - 10*v**4 to r*v**4 + n*v + d*v**3 + y*v**2 + z and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 4*x. Let h be r(-4). Let w(q) = -q - 17. Let p be w(h). Which is the nearest to p? (a) -1 (b) 3\/4 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 13, n: 5}. What is prob of picking 3 b and 1 n?\nAnswer: 143\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 295 minutes after 1:50 AM?\nAnswer: 6:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 4*v - 30 = 0, -15*j + 20*j + 6*v = -30. Let f(c) be the first derivative of -c**4\/4 - 2*c**3 - 3*c**2\/2 - 5*c - 1. Calculate f(j).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -8 + 25. Let u(o) = -o. Let a(y) = -13*y**2 + 3*y. Let r be a(1). What is the remainder when w is divided by u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (9 - (-122 + 147)) + 0 + 1 + -1?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + 0 + (-6 - (0 - 2 - 6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1310 is divided by 71.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 204 and (-19690)\/(-825) + (-6)\/(-45)?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-618)\/(-3) + (-21)\/(-7). Suppose 0 = -4*l - w + 271, -w = -3*l + 4*w + j. Let r = l + -42. Calculate the greatest common divisor of r and 65.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9737159 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from pappq. Give prob of sequence ppqa.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1817.654ng to milligrams.\nAnswer: 0.001817654","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 7}. Give prob of sequence gg.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 173.258 - 173. Round c to 2 decimal places.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*g**2 - 4612*g + 18384.\nAnswer: 4*(g - 1149)*(g - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 + 1. What is the smallest common multiple of (-18)\/(-10)*5\/(-15)*-10 and g(-1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 5\/22, 5, 0.22 in ascending order.\nAnswer: -7, 0.22, 5\/22, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 12:26 PM?\nAnswer: 703","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1961183 is divided by 186.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-9890)\/6 + (-16)\/(-48). Let m = -903 - s. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, 4, -0.4, -2\/3, -1, -152?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2001244 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: Does 7 divide 1757562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*g - 88*g - 8760548 = -135*g. List the prime factors of g.\nAnswer: 2, 71, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 5. Suppose -3*x + 21 = 3*z, z - x - 5 = -g*z. Let i(c) = -c**2 - 45*c - 292. Let s be i(-8). Solve 0 = s*k - z*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -30*f + 37*f + 14 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 158 (b) 4\/3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do -3\/985 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 172*z + 12 = 175*z for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2629, 3338, 4045, 4750, 5453?\nAnswer: 6154","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3 + -3. Suppose k - 35 + 7 = s. Suppose -k = -3*h - 4. List the prime factors of h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2944093991 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of -13195*b**3\/6 + 6471*b**2 - 7136*b. What is the derivative of s(o) wrt o?\nAnswer: -13195","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o such that -2*o**4\/11 - 168*o**3\/11 + 8478*o**2\/11 + 17612*o\/11 = 0.\nAnswer: -119, -2, 0, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -156.550588 to 0 decimal places.\nAnswer: -157","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 5475000 to the nearest one hundred thousand.\nAnswer: 5500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 0 - 53?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - 20 = -4*u, u + 14 = -2*a - 2*a. Solve 0 = -u*o + 3 + 7 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = a - 3 + 1. Suppose 4*h + 3*u - 5*u = 912, 0 = u. Suppose 0*l + h = a*l. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -22111 + 2100022102?\nAnswer: 2022222221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*t - 35 + 55 = 4*t for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 73954 + 8929. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 61247411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68) + sqrt(68) + -4*(sqrt(68)*-2 - sqrt(68)))\/(-3*sqrt(4)*-1)*6.\nAnswer: 28*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4580 - 22888\/5. Factor -8\/5*b + 2\/5*b**4 + 2*b**3 - 16\/5 + w*b**2.\nAnswer: 2*(b - 1)*(b + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*n - 3*n + 5*n + (3 - 1 - 3)*(n - 3*n + 3*n).\nAnswer: 4*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 34\/((-561)\/33)*2\/10*2\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.61933322 to 0 dps.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 114 and 76703?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16169, -16143, -16117?\nAnswer: -16091","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:30 PM and 12:42 AM?\nAnswer: 132","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v - 306 - 458 = -5*j, j - 4*v = 156. Let -37*x - 80*x**2 - 28*x + 70 + j*x**2 - 77*x**2 = 0. Calculate x.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -545844*-226\nAnswer: 123360744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -36625043700 to the nearest 1000000.\nAnswer: -36625000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -46? (a) -1\/9 (b) -0.1 (c) -2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = -3352*f + 3344*f - 1 + 5. Let q(y) = 2*y - 5. Let i(x) = -1. Let k(c) = 4*i(c) - q(c). Determine 26*k(u) - 6*w(u).\nAnswer: -4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -x**3 - 5*x**2 + 6*x - 2. Let i be o(-6). Let p be 18\/(-2) - (-30 + 26). Which is the third smallest value? (a) -3 (b) i (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1586 is divided by 88.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 30 - 35*h - 30.\nAnswer: -35*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 10*(4\/4)\/(-2)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -909 < -910?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 7043810 to the power of 1\/2, to the nearest integer?\nAnswer: 2654","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 139336046?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that -5*m**4 - 43790*m**3 - 96358685*m**2 - 2104021920*m - 11543051520 = 0.\nAnswer: -4368, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37526204 is divided by 379?\nAnswer: 277","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001193 to five dps.\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 7*d**3 - 49*d**2 + 14*d + 14. Calculate p(6).\nAnswer: -154","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -245 (b) -4 (c) 3\/2 (d) 2\/9 (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-42)*y*y)\/y)\/y)\/y*y**(-5\/16)*y**(-44)\/(y\/(y\/((y*y\/(y*(y\/y**(-1\/21))\/y)*y)\/y))) assuming y is positive.\nAnswer: y**(-29657\/336)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -24 + 17. Let h = 46 + o. Calculate the lowest common multiple of 8 and (-2)\/13 + 84\/h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 126*c - 67730 - 75296 = 1090*c - 41806 for c.\nAnswer: -105","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.45? (a) 36\/5 (b) -4 (c) 27 (d) -40 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1248039124?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z + 1. Suppose 0 = d - 5*t + 28, -2*d + 5*t = 3*d + 80. Let p be h(d). Let g = 74 - -38. What is the highest common divisor of p and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2147, -2150, -2139, -2102, -2027, -1902, -1715?\n\"Answer: 2*y**3 - 5*y**2 - 2*y - 2142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -141*u = -187*u + 536590. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 7:07 PM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k + 88. Let g be l(0). Suppose -56 = -f + g. Suppose w = -3*w + f. Is 18 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 202847 and 1207?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 14638333 divided by 17161\nAnswer: 853","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 32256882?\nAnswer: 2, 3, 7, 67, 3821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1402075 and 425.\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5717 - -5727. Which is the nearest to 1\/4? (a) -2 (b) y (c) 2 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 304198 - 304198. Factor v*o + 0*o**3 + 1\/5*o**4 + 0 - 1\/5*o**2.\nAnswer: o**2*(o - 1)*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -98*x - 86*x + 5376 = 72*x for x.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 610 + 6*z**3 - 2412 + 570 + 616 + 616.\nAnswer: 6*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3327 - -3669. What is the tens digit of m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in t**2\/2 + 2445500*t + 9781992 = 0?\nAnswer: -4890996, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.03 + -3.03. Let u = -1619 + 1093. Let p = -1576\/3 - u. Which is the nearest to 1? (a) f (b) p (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 5 + 4 - 2 + 5*u**2.\nAnswer: 5*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 + 2886*g**3 - 1177686*g**2 + 93111866*g + 1291957656 = 0. What is g?\nAnswer: -12, 121, 667","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) be the third derivative of -l**7\/105 + l**6\/120 - 311*l**5\/30 + 7721*l**4\/24 - 6221*l**2. What is the second derivative of w(m) wrt m?\nAnswer: -24*m**2 + 6*m - 1244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/3*(8 + -8 - 0)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1410 - -35244\/25. Let l be ((-264)\/(-50) - 5)\/((-2)\/(-4)). Let w = l - d. Put -5, 3\/8, w, 4 in descending order.\nAnswer: 4, w, 3\/8, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-15390)\/11115*(-65)\/60.\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 - 11. What are the prime factors of l?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1\/4, 6, -1, 1\/20?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**2\/7 - 501588*d\/7 - 5517831\/7 = 0.\nAnswer: -11, 167207","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -129 - -99. Let t = r + 8. Is t <= -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3144 + 18913\/6. Let l = 208463270 + -747549293553\/3586. Let r = 1\/1793 - l. Find the common denominator of s and r.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 + -25. Let v = -15 - j. What is the remainder when v is divided by 10?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + -3)\/7 + 2. Let h(l) = -13*l**2 - 1. Calculate h(d).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 - (8 - (6 - -6 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 134455, 268828, 403199, 537568, 671935, 806300?\nAnswer: 940663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(32\/(-6) + 3 - -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 781889?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -434384*v + 868824. What is m(2)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5*d**3*r**3 + 6*d**3*r - 11*r**3 - 12*r**2 wrt r.\nAnswer: 30*d**3 - 66","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-10)\/(-60))\/((-25)\/(-20))*-10)\/(8\/96).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d**5 - 65*d**4 + 1015*d**3 + 1605*d**2 - 7920*d - 13068 = 0. Calculate d.\nAnswer: -2, 3, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 292000 rounded to the nearest 10000?\nAnswer: 290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -4356, -8485, -12618, -16755, -20896, -25041?\n\"Answer: -2*b**2 - 4123*b - 231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 643397 is divided by 516?\nAnswer: 461","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = u**2 - 7*u + 5. Let g be o(5). Let h(i) = -i - 6. Let p be h(g). Is 53 + (p - (-2 - -1)) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9338, 37289, 83884, 149129, 233030?\nAnswer: 335593","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g + 34*g + 115 = -2*g. Let k = -0.02 - 1.98. What is the biggest value in k, g, 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-166)\/12 + ((-2)\/(-10))\/(405\/28350).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 305 by 5762.\nAnswer: 305\/5762","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2796 + 243250\/87. Is q at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5, 37, 71, 107, 145, 185, 227?\nAnswer: 271","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1555*l**2 - 1555*l**2 + 578*l**3)*(-3*l**2 + 0*l**2 + l**2).\nAnswer: -1156*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -s**2 - 7*s - 7. Let g be q(-5). Suppose 0 = p + 1 - g. Suppose -9 = -i - p*i. Solve -5*d + 4*a = -3*d + 16, -i*d = a + 3 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) be the second derivative of 1\/70*j**5 - 1\/21*j**3 + 0 - j + 0*j**4 + 0*j**2. Factor w(m).\nAnswer: 2*m*(m - 1)*(m + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7738\/2409 + (-16)\/6.\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -755*g - 34080 wrt g.\nAnswer: -755","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + -5 - (42\/(-70))\/((-45)\/(-350)). Factor -s*f - 7\/6*f**2 - 1\/6*f**3 - 2.\nAnswer: -(f + 2)**2*(f + 3)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(70) - (sqrt(70) - (-2*sqrt(70)*-1 - sqrt(70)) - sqrt(70)))\/sqrt(10).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 + d**3 - 272*d - 47779 + 47779 to the form a + w*d**2 + o*d + q*d**3 and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from wwwewwwwew.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 6 = -2*y, 6*y - 2*y - 12 = 4*k. Solve y*r - 4*r = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 406 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 18*u + 2. What is the remainder when g(3) is divided by 20?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) be the third derivative of -x**4\/12 + x**3\/6 - 579*x**2. Let p(a) = 3 - 4 + 1 + a. Determine -3*b(j) - 5*p(j).\nAnswer: j - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 5300158?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -2 - (-3)\/1 - -2. Suppose 2*h - 7*h = 5*s - 45, -21 = -5*s + 3*h. Solve 0 = l*z - 0*z - s for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 66 = q - 16, 4*q - 340 = -4*h. Suppose -q = -2*t - 2*t. Calculate the remainder when 41 is divided by t.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vvcc when four letters picked without replacement from {v: 3, c: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -11. Let z be ((-4)\/(-6))\/((-3)\/(-36)). Solve 8*u + z = 3*q + h*u, -2 = 2*u for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 53\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 889164?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -922 = -13*w - 90. What is the remainder when w is divided by 21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 201 in -11, -5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11432.1 - 11432. Put g, -172, 0.2, 6, 1 in descending order.\nAnswer: 6, 1, 0.2, g, -172","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -112 + -12412?\nAnswer: -13024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1440 and 54.\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes before 9:06 PM?\nAnswer: 9:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 259 + -258.7. What is the biggest value in -3, k, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 r, and 1 l when four letters picked without replacement from uufuuxrxuurl?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3 or -832\/215?\nAnswer: -832\/215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -29 + (-4 - (9 - 8 - 21 - -4))\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 12*w = -56. Let o(g) = -15*g - 29. Is o(w) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 10) in base 16?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 5 + (0\/(-3))\/(-3). Calculate the remainder when 7 is divided by o + (-5 - -1) - -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 817.36 rounded to the nearest ten?\nAnswer: 820","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4.7 - -5. What is the second smallest value in -2, m, 3\/2, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -142529*s**4 - 508698*s**2.\nAnswer: -3420696*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 522 at most 522?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*g - 27*g + 3 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 14383*f - 26369.\nAnswer: 14383","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 - 145 = 5*s. Let h be (-3)\/(-2)*332\/(-6). Let d = s - h. What is the remainder when d is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 471 + -289. Let q be -29*(-3 - -5)*1. Let o = i - q. Does 24 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nine fourteenths of a week?\nAnswer: 6480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*j - 2967 = 2*j. Let h = 4154 - j. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = a**2 - 2*a - 159. Let m be z(0). Let r = m - -319. List the prime factors of r\/6*(-9)\/(-3).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-5))**(-18\/11)\/((w**(-3\/4)*w)\/(w\/w**2)) assuming w is positive.\nAnswer: w**(305\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 0\/(0 + -2) - (-5 + -111)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = d**3 + 49*d**2 - 199*d - 737. Give q(-53).\nAnswer: -1426","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 661 minutes after 5:42 AM?\nAnswer: 4:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -5, 18, -2, 5 in ascending order.\nAnswer: -5, -2, 5, 7, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -1 + -5 + 15 - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = -8952*y. Let g(u) = 36*u. Give g(q(s)).\nAnswer: -322272*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 - -4.94?\nAnswer: 4.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.4 - 0.3. Let l be 0 + 0\/(-3) + -4. What is the closest to c in 1\/2, -0.1, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 6385 - 6395. What is the second biggest value in 0.07, -2\/7, -1\/2, -4, j?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2 - 147*j - 1794 = 0.\nAnswer: -26, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 - 7*i**2 - 8*i - 11. Determine p(-6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 63411.41 litres?\nAnswer: 63411410","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k + 5. Let b be a(-6). Let q(w) = -8*w - 41. What is the units digit of q(b)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16\/(-32) - 145\/(-2). Suppose -w = 5*d + 38. Let l be 8\/(-36) - d\/18. Is -8 less than l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}