{"text":"Question: b\"What is the wth term of 79546, 159092, 238638, 318184, 397730, 477276?\n\"Answer: 79546*w","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -2*a**3 + a**2 - 2*a - 644. Determine o(0).\nAnswer: -644","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3869?\nAnswer: 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(-22\/9)\/(x*x**(-39)))\/(x\/(x*x**(-14\/3)))**2 assuming x is positive.\nAnswer: x**(236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 407 + 68\/(-17)*(1 - (-2)\/(-4)) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:36 AM and 11:57 AM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -x**2 + 12*x + 1 - 12*x + 6*x**2.\nAnswer: 5*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 201, -4, 10 in increasing order.\nAnswer: -4, 4, 10, 201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 5 + -1451\nAnswer: -1446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1400551 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*o**2 + 293*o + 320*o + 310*o - 967*o - 1 to the form m*o + b + j*o**2 and give m.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**0*k**1*k*k)\/(k*k**(1\/3))**25)\/(k**(-3)\/(k*k**(-5)\/k))**(-48) assuming k is positive.\nAnswer: k**(197\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = k**3 - 2*k + 1. Let u be 2\/3 - (-24)\/18. Let b be j(u). Solve -b = -v - 1 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**2. Let r = -28 - -16. Let c be -20*(27\/r - -2). Let w(t) = 2*t + t - c*t. Give w(x(z)).\nAnswer: 4*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 296346527?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*s + 7986 = 54*s - 3*s. What is the remainder when s is divided by 130?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 12 and 486?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 85 + -48. Suppose -o = -s - 5. Let c = s + -28. What is the highest common factor of c and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1*-0.0513\nAnswer: -0.0513","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*i - 186 = -2*i - 18*s, -5*i - 85 = -13*s + 3*s for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -294 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -139*x + 2. Let h(p) = -2*p. Calculate -f(w) + 2*h(w).\nAnswer: 135*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 73*o**2 - 13*o - 12*o - 16 - 62*o**2 + 25*o to l*o**2 + w + u*o and give w.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -4*h**3 - h**2 + 10*h + 69. Calculate t(0).\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/5*(-15325)\/1839 + (-155)\/5\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 plus 0.308074?\nAnswer: 0.308074","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3 + 13. Suppose -2 = o - t. What is the smallest common multiple of (2\/(-5))\/(1\/(-20)) and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 5:43 AM?\nAnswer: 549","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*l - 3*l + l**3 + (-15*l + 3*l + 0*l)*(2 + 40*l - 101*l - 43*l)*(2 - 2 + 2*l) + (3*l - l - 4*l)*(0*l**2 + 0*l**2 + l**2).\nAnswer: 2495*l**3 - 48*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of ((-18)\/15)\/((-18)\/30) and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: (6\/10 + (-255)\/459)*-5\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (13\/(-39))\/(-2*(-2)\/(-12)). Let w be 5\/(-3) - (-2)\/(-6). Let f be 3 + 1 + -2 + (1 - 0). Put f, -4, n, w in decreasing order.\nAnswer: f, n, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is f in -2*f**5\/7 + 1460*f**4\/7 - 52206*f**3 + 33721096*f**2\/7 - 597395296*f\/7 + 1498445184\/7 = 0?\nAnswer: 3, 19, 236","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 731.\nAnswer: 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 43, -38, -277, -686, -1277, -2062, -3053?\nAnswer: -4262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*b + 2*b**3 - 2 + 10*b - 2*b**3 + 2*b**4 to s*b**3 + r*b**4 + f*b**2 + c + v*b and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 3197.27 to the nearest 10.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -0.05 + -0.05. Suppose 6*d - d = 20. Let r be 6\/(-4)*d\/(-15). What is the nearest to n in r, 0.3, 1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 64\/80*(-1 - -59246152 - 1). Let k = -14596920 + l. Round k to the nearest one million.\nAnswer: 33000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*n + 2*n = -3*b + 3710, 5*b - 5*n - 6190 = 0. Let v = b + -3781\/3. Find the common denominator of -20 and v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10.0258 hours to minutes.\nAnswer: 601.548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 199536734?\nAnswer: -199536733.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/4 of a meter in millimeters?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 203 minutes after 4:18 AM?\nAnswer: 7:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 2*h + 27 + 45 = 0, h - 52 = -3*d. Suppose -14*x + 18*x = d. What is the derivative of 0 - 5*v**x + 2*v**4 + 5 wrt v?\nAnswer: -12*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 90129 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 (base 8) in base 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -10 or -172\/17?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*w + 13*w + 13*w - 82*w + 16*w + 17*w.\nAnswer: -w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -50329, -201243, -452767, -804901?\nAnswer: -1257645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 69 = k, 2791*l - 2787*l = 3*k - 123 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**0\/s)**10*(s\/(s*s**(-1)))**(-1\/59) assuming s is positive.\nAnswer: s**(-591\/59)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-1\/3)*z**7*(z**(1\/9)\/z)\/(z\/(z\/(z**(-3\/2)*z)*z)) assuming z is positive.\nAnswer: z**(131\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*q**2 - 3*q**2 - q**2)*(-8*q - 43 + 43) as y + x*q + v*q**2 + r*q**3 and give r.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 119*d**2 - 2261*d + 28082. Calculate h(-137).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10332211 - -10385302.0071. Let d = -53231 + r. Let v = 140 + d. Round v to 3 dps.\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1*114*((-336)\/(-36) + -6) and 152.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*y**2 + 492573*y - 63098496.\nAnswer: 3*(y - 128)*(y + 164319)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:54 PM and 10:59 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -167650 + 167436.003. Let w = 213 + c. What is w rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, b: 3, u: 5}. What is prob of picking 2 b and 2 z?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2 - 1 - 0) + 0 + 2. Let h be u*(-7)\/(7\/2). Solve -3*p + 7 = -4*b, h*p + 5*b + 17 = 3*p for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1761515.82194 and -0.03.\nAnswer: 1761515.79194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -123, -232, -341, -450?\nAnswer: -559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -528*p + 527*p + 179 = 0. Suppose 2*k + 4*g - 10 = -0*g, 3*k = 3*g + 51. What is the remainder when p is divided by k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -624064 or -624067?\nAnswer: -624064","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1144870 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 2*v - 4 = -30, 4*v + 84 = 4*f. Calculate the common denominator of -125\/24 and (69\/189)\/(f\/6 - 3).\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 - 1. Let x(j) be the first derivative of 4*j**3\/3 - 3*j - 1. Let u(r) = 3*k(r) - x(r). Calculate u(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 633.24 + -651. Let j = -0.06 - t. Round j to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 1 + -774212320?\nAnswer: -774212317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 193853?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 4089 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 4\/14181 and 7\/130239?\nAnswer: 21228957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 3}. Give prob of sequence aaa.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 21133177?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*a - 15*a = -1065. Suppose 2*q - 2*r - 375 = -3*q, 0 = -5*q - 2*r + a. List the prime factors of q.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/((s*s**(1\/3)*s)\/s))**(-2\/71)\/(s**(-6)\/s**(-2)) assuming s is positive.\nAnswer: s**(854\/213)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -96954*g. Let u(o) = o**2 - 13*o. Calculate u(l(x)).\nAnswer: 9400078116*x**2 + 1260402*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 12a1 + 19?\nAnswer: 12ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -33, -47, 0.2, 1, -15, -2\/51?\nAnswer: -47","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 327120?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -q - 5*w, 4*q + 2 + 7 = 5*w for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*p**5\/5 - 1884*p**4\/5 + 15471*p**3\/5 - 34344*p**2\/5 + 9072*p\/5 = 0. Calculate p.\nAnswer: 0, 7\/23, 3, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*m**3 + m**3 - 5*m**3)*(0 - m**2 + 0) + (-24 - 23*m + 24)*(-3*m**2 - 2*m**4 + 3*m**2).\nAnswer: 47*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21*m + 24*m - 3 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) be the third derivative of j**9\/3024 + j**5\/60 + j**3\/2 + 4*j**2. Let m(u) be the first derivative of r(u). Find the second derivative of m(h) wrt h.\nAnswer: 20*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 16575\/269 or -0.1?\nAnswer: 16575\/269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 148 and 2706217?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 + -36. Let n be 6\/15 + (-83)\/(-5). Let c = n - r. Solve p = 4, -3*p = 2*j + 10 - c for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(y) = y**3 + 17*y**2 - 559*y - 2. Let d(g) = -3*g**2 + g. Give -6*d(i) - j(i).\nAnswer: -i**3 + i**2 + 553*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/99, -1, -5, 1\/8, -16 in decreasing order.\nAnswer: 1\/8, -2\/99, -1, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1137127\/65 + -227402\/13. Factor r*x - 1\/5*x**3 - 18\/5 + 2\/5*x**2.\nAnswer: -(x - 3)*(x - 2)*(x + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 39 - 42. Let x be 1*z\/(-21) + (-276)\/(-28). Solve -f - 2*u = 7, -u - u = 4*f + x for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5947961043.\nAnswer: 3, 193, 10272817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*t**2\/5 - 48*t - 1440.\nAnswer: -2*(t + 60)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -146*t**5 + 109*t**2 - 2?\nAnswer: -8760*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express ((1 - 2 + 2)*(3*b - 4*b + 3*b) + 0*b + 0*b + 3*b)*(0*b**2 - 2*b**2 + 3*b**2) as o*b**2 + d*b + v + x*b**3 and give x.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = v + 4. Let s be 4*((-30)\/8)\/(-5). Let f be z(s). Suppose -f*w + 105 = -2*w. Is w a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f**(2\/3)*f*f)\/(f\/(f\/(f**(-9)\/f)))*(f**(-3\/5))**(-5\/11))**(4\/5))**(1\/3) assuming f is positive.\nAnswer: f**(1708\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 7) in base 6?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 444 - 292. Calculate the remainder when (n - 2) + -9 + 3 + 8 is divided by 35.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*i + u + 13 + 16 = 0, 2*i + 20*i + 223 = 3*u for i.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5, -11, 29, 157, 415, 845, 1489, 2389?\nAnswer: 3587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = 2*j**2 - 5*j - 10. Give d(5).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -29616364, -29616365, -29616366, -29616367, -29616368, -29616369?\n\"Answer: -q - 29616363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 + 44. Suppose 0 = -w - 2, -3*a - 5*w + j = -4*w. Suppose -a*b + 15*b - 108 = 0. 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: 1 + (-85 - (-17 + -68))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 540*n**2 - 269*n**2 - 290*n**2. Let r(j) = 4*j**2 - 26. Give r(a(o)).\nAnswer: 1444*o**4 - 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 10873*v**2 + 189*v. Let x(t) = 3*t. Give x(s(a)).\nAnswer: 32619*a**2 + 567*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 8 - 24\/20*5. Suppose r*s - 3650 = -m - 3*m, m - 4*s - 917 = 0. What is the greatest common divisor of m and 83?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 80, 79, 78, 77, 76, 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2 and 652.96.\nAnswer: 650.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -130*t + 62*t - 86*t - 61*t in the form a*t + n and give a.\nAnswer: -215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 4230003 (base 5) to base 7\nAnswer: 412625","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**3\/3 - 2*p**2\/3 + 2*p.\nAnswer: -2*p*(p - 1)*(2*p + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -7*x**2 - 6*x + 3. Let i(s) = s**2 - 3*s - 1. Let p(h) = -h**2 + 4*h + 1. Let o(u) = 5*i(u) + 4*p(u). Give 5*o(a) + y(a).\nAnswer: -2*a**2 - a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -29 - -40. Let j = 15 - y. Suppose 3*d + 5 = -4*h, -5*d + 1 = -2*h + j*h. Which is smaller: h or -4\/7?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7 - 4. Let o(d) = 7*d**2 + 4*d - 4. Let b(u) = -6*u**2 - 3*u + 3. Give i*o(t) + 4*b(t).\nAnswer: -3*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -13*t**3 + 19*t**2 + 158*t + 3. Let i(n) = n**3 - 4*n**2 - n - 1. Let h(p) = -3*i(p) - k(p). What is the second derivative of h(d) wrt d?\nAnswer: 60*d - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/17 less than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 845*m**2 - 11*m. Let f(r) = -2*r - 17. Calculate f(b(w)).\nAnswer: -1690*w**2 + 22*w - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z - 1 = -w + 2*w, -5 = -5*w - 5*z for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 67705, 135469, 203427, 271675, 340309, 409425, 479119?\n\"Answer: 16*r**3 + r**2 + 67649*r + 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 w when two letters picked without replacement from {v: 5, z: 2, l: 10, a: 2, w: 1}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b**2 - 14*b + 13 = 0. What is b?\nAnswer: 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-116)\/(-290)*1\/(-8)*15\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0355174487 to six dps.\nAnswer: 0.035517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = 153*f**3 - 2*f**2 - f + 2. Let k be m(1). Suppose -3*x = -2*h - k, -4*x + x + 124 = 5*h. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 39, 0, 0.5, -3\/8, 2093?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -303859\/355148 + 3\/9346. Let c = z - -3\/4. Let x = -0.253 + 0.553. What is the second smallest value in c, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 230 and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 12:52 AM?\nAnswer: 1:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 456534618.\nAnswer: 2, 3, 2543, 29921","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5671031674.\nAnswer: 2, 7, 11, 239, 154079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 487 + -480. Which is the smallest value?  (a) 11  (b) g  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2*(0 + 3) - 4. Suppose 2*x + 30 = 4*x - 5*q, n*q = -4*x + 60. Suppose -8 = 11*k - x*k. Solve -3*o - k = 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {j: 1, q: 3, z: 5, r: 1, s: 1}. Give prob of picking 1 r, 2 z, and 1 s.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 782000 and 1250?\nAnswer: 250","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (10 - 16) + 22 + -40 + 50 - 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = -3*u**2 + 2*u + 2. Let b = 2 - 3. Let h = 1 + b. Let i(n) = h + n**2 - n - 3 + 0*n**2 + 2. Give 4*i(j) + 2*z(j).\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**3 + 3*b**2 - 32*b - 88. What is f(-6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -1*1.5\nAnswer: -1.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (18\/8)\/((-12)\/(-64)). Let i be 9\/j - (-12)\/(-16). Suppose 3*o + o - 212 = i. Does 16 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -735, -36, 5 in ascending order.\nAnswer: -735, -36, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes after 1:07 AM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -2\/9, 0.3, -50, -4, -0.3, -137?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 975  (b) -2.5  (c) 0.2  (d) 0.066\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 32774\/19 - 1725. What is the nearest to f in -0.14, 0.4, 2\/15?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -42 - ((88 - 120) + 25 + -2)?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -v - 4. Let o be p(6). Let a = 12 + o. Suppose -8 = -2*l - 2*z + z, a*l - 2*z = 20. Solve -l*c + 5*c = 2*f + 11, -f - c - 6 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 6 and -24421887?\nAnswer: -146531322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1651.\nAnswer: 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 8, -23*h - 7*d = -28*h + 1517617. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3 + 8874*m**3 - 8797*m**3 + m**4 - m - 2*m**4 to the form n*m + s*m**2 + z + l*m**4 + v*m**3 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x + 4*u + 26 = 0, -3*x + 2*u + 7 = -2*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:37 PM and 2:05 AM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.24 - -1.54. Let t = 18.7 + r. Let c = -19.0000528 + t. Round c to six dps.\nAnswer: -0.000053","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from zqekt. Give prob of sequence tkqz.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 278 (base 16) to base 9.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 401 minutes after 4:03 AM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 254 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 11223893?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3390, -13181, -29380, -51987, -81002?\nAnswer: -116425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 266 is divided by 0 + 1\/3 - 9842\/(-111).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - r + 2343 = 4*h, 607 = h + 4*r. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 536250 to the nearest 10000.\nAnswer: 540000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 722.3\nAnswer: 2166.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (25\/5 - 3)\/(2\/111) is divided by 8?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -2 - 21001011200?\nAnswer: -21001011202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 1477179349 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -2\/31 - 52\/155. What is the second smallest value in 4, 3, 6, t?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 750 + -753. Let n be v + 63\/(0 - -9). Factor 0 - 1\/3*x**n + 1\/3*x**2 - 1\/3*x**3 + 1\/3*x.\nAnswer: -x*(x - 1)*(x + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*y**3 - 3*y**2 + 37 - 37 to the form k*y**3 + b*y + f + u*y**2 and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.42 - -0.02. Which is the third biggest value?  (a) 0.7  (b) i  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -d - 17. Let w be i(-29). Let g be (-1)\/(3 + 5*(-8)\/w). Put 0.6, -2\/15, g in ascending order.\nAnswer: -2\/15, 0.6, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 866897283?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 481 minutes after 7:18 PM?\nAnswer: 3:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 4*r**2 + 4. Let b = 269 - 369. Let v be (-30)\/b - (-129)\/(-30). Determine y(v).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 1. Let n(f) = f**2 - 6*f + 7. Let g be n(5). Suppose -5*u + 3*y = -y - 13, g*y + 3 = -u. Let z(h) = 2*h + 2. Calculate u*z(r) - 3*s(r).\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3*932\/108 - (-27)\/(-243)*-1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 122  (b) -13  (c) 0.3  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 0.2415 * 246.6\nAnswer: 59.5539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 3*l**2 - 39. Let x(r) = -r**2. What is x(b(n))?\nAnswer: -9*n**4 + 234*n**2 - 1521","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 9483, 9485, 9487?\n\"Answer: 2*i + 9481","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 162?\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -10 + (-10 - 0) + 12 + -1 + 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f + 4547*v - 91 = 4542*v, -2*f + 93 = 5*v for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -45*j**4 + 2*j - 31. Let g be 0\/19*2\/4 - 2. Let q(h) = -44*h**4 + 3*h - 30. Let a(b) = g*q(b) + 3*u(b). Differentiate a(s) with respect to s.\nAnswer: -188*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 46893 + 12289*q - 46893 - 2495*q to the form o + s*q and give s.\nAnswer: 9794","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/112 and 107\/48.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 77\/124 - -4\/31. Suppose -3*r + 1 = 7. Let f = r - -2. Sort f, t, -2\/5 in decreasing order.\nAnswer: t, f, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1440))\/(sqrt(5) + sqrt(45)\/(sqrt(63)\/sqrt(7))).\nAnswer: -12*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b + 5*u + 16 = 0, 8*u + 8 = 4*u. Let k = 6 + b. Let i be (k - 11) + (-4)\/(-1). Solve -r = -i + 4 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*s + 52*s - 1890 = 0. Calculate the smallest common multiple of 150 and s.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.280142mg to kilograms.\nAnswer: 0.000009280142","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = f**2 - f + 3. Let n be w(-2). Let g be 2*(-1)\/(8\/28). Let q = g + n. Solve q*m - 15 = -m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and 8716354.\nAnswer: -2614906.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(98) + -1 + sqrt(98))*-2)**2 - sqrt(98)) + 5.\nAnswer: -119*sqrt(2) + 1577","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47 - 69 + 813*q - 812*q - 89 + 94 - 55.\nAnswer: q - 166","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q - 5. Let p be a(10). Suppose 11 = 2*s - p*l - 19, -86 = -4*s - 3*l. Calculate the remainder when 79 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.94 + 2.03. Let f = b + -0.89. Let a = 2 - 1.85. Is a bigger than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = -j + 4. Suppose 0 = -3*x + 8 - 26. Calculate the common denominator of 81\/4 and -83*j\/x - 2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 1944*v**2 - 331*v**4 - 177*v**4 - 502*v**4 - 2272*v**2 wrt v?\nAnswer: -24240*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = -m**3 - 8*m**2 - 13*m + 8. Is r(-6) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the first derivative of 0*s**2 + 57 + 6*s - 4\/3*s**3. Let r(p) = p. Calculate r(d(g)).\nAnswer: -4*g**2 + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1, -17 in decreasing order.\nAnswer: 5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.0671 and 3547.\nAnswer: -238.0037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -112*((-3)\/(-168))\/(386\/(-2702)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*w**2\/6 - 5905*w\/3 + 7511\/6 = 0.\nAnswer: 7\/11, 1073","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 971185 to the power of 1\/2, to the nearest integer?\nAnswer: 985","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*b - 396 = -55*b. Calculate the greatest common factor of 44 and b.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*q + 3, 2*p + 3*q - 4*q - 255 = 0. Let d(l) = 3*l**2 + 56*l + 24. What is the remainder when p is divided by d(-19)?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of u**6 - 3*u**4 - 1817211*u**3 + 1839*u**2 - 1905*u - 9.\nAnswer: 120*u**3 - 72*u - 10903266","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -79\/1152 and -19\/724176?\nAnswer: 5793408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let 368*k**2 + 23923*k + 195 = 0. What is k?\nAnswer: -65, -3\/368","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -9\/156079210 and -97\/4018.\nAnswer: 156079210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -1\/7, -48 in descending order.\nAnswer: 1, -1\/7, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/27 or -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 284592 divided by 71148?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -33\/17984188?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {h: 3, y: 2, u: 2, w: 2, k: 1, q: 4}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 64\/5 of a microsecond in nanoseconds?\nAnswer: 12800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*w + 1806 = 29*w. What is the third smallest value in 3, w, 2\/5?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 736253 divided by 5.\nAnswer: 736253\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 13935 and 80823?\nAnswer: 404115","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -296 = 4*j - 0*j. Let c = -39 - j. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 3*p = 32, 83*y - p + 696 - 409 - 380 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 404 minutes after 5:50 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t = -45 + 5. Suppose 13*b - 69 + 17 = 0. Solve -8*l + t = b*g - 3*l, 5*l = -2*g + 10 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 33860 + -33871. Let d(g) = g**3 + 13*g**2 + 17*g - 35. Calculate d(m).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -254 - -10184. What are the prime factors of x?\nAnswer: 2, 3, 5, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.27236 to three decimal places.\nAnswer: 0.272","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 15*d**2*g**2 - 4*d**2 - 4*d*g**2 - 27 wrt g.\nAnswer: 30*d**2*g - 8*d*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/y**(-2\/9)))\/(((y\/y**(-6))\/y)\/y*y))\/(y**(-7\/5)*y*y\/(y\/(y**(-3)\/y))) assuming y is positive.\nAnswer: y**(-82\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(243) - (2 + sqrt(75) + sqrt(75))*-5)**2.\nAnswer: 1360*sqrt(3) + 13972","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**2*n)\/(n**(-3\/5)\/n*n)*(n**0)**34*(n*n**(-2\/5))**(-29)*(n\/(n\/n**(2\/15)))\/n*n*n**5 assuming n is positive.\nAnswer: n**(-26\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 203434 - 14?\nAnswer: 203420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*t + 6 = -4*l - 30, 63*t - 61*t + 3*l = -27 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1713 + -1127. What is the remainder when q is divided by 576?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*x + 4, 2*a = -3*x - x - 42. Let o = -18 - a. Let j = 7 + o. Solve 0 = -4*r - 4*f - 20, j*r - 2*f = 4*r + 20 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -72*q + 81115 = -249869. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -139, -274, -409, -544, -679, -814?\nAnswer: -949","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w**(4\/5)\/(w**4*w)*w**(2\/9)\/w**(-1\/9) assuming w is positive.\nAnswer: w**(-58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -18.336 to 0 dps.\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q - 47*g = -49*g + 938, -3*q - 2*g - 1387 = 0. Suppose -5*f - 1402 = 3078. Let a = q - f. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23*w**2 - 1 - 6*w**2 + 11*w**2 + 0*w**2.\nAnswer: 28*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -v - 4. Let p be y(-7). Let i = -1.5398 + -0.4602. Let d = -0.87 - 0.13. Which is the nearest to p?  (a) 1\/5  (b) d  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2339740*g**4*j**3 + 8*g**4 - 1758*g**2*j**2 + 1027*g*j**3 - j**3 wrt g?\nAnswer: -56153760*g*j**3 + 192*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 468 - 9830\/21. What is the third biggest value in 2\/5, 0.3, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eight fifteenths of a day?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2809*a = 2791*a + 748422. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 948079*b - 3538 = 948018*b for b.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 19 + -12. Suppose 2*l - 103 = 23. Calculate the greatest common divisor of v and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the first derivative of 3 + 1\/3*q**3 - 1\/2*q**2 + 2*q + 1\/4*q**4. Calculate the remainder when 5 is divided by w(0).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes after 12:24 AM?\nAnswer: 5:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -15c (base 14) to base 13.\nAnswer: -185","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {w: 2, r: 6, e: 1, m: 3}. Give prob of picking 1 e and 3 m.\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2\/15, 0.2, -3\/71, 0.016, -43?\nAnswer: -43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1254141 (base 6) to base 8\nAnswer: -207755","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (169*v**3 - 44*v**3 - 50*v**3)*(-3 + 1 - v + 1) to the form i*v + k*v**2 + l*v**3 + q + b*v**4 and give b.\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r**3 - 25*r**2 - 12*r + 3. Let z be s(-12). Suppose -2*q - 1361 = -2*m - z*q, 4*m + 5*q - 2725 = 0. List the prime factors of m.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:32 PM and 10:50 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-18)\/60)\/3 - (-324)\/40. Solve -8*a = 32 + r for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 9\/(-54) - 25\/(-6). Suppose -w = -r - r - x, -r = -w. Is (-7)\/28 + 1 + (-3653)\/r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 383 = 7*t - 156. Let g = t - 44. Suppose -3*k = -5*x - 35, -x = -3*k + 2*x + g. Solve -5*m - 2*p - 3*p - k = 0, 1 = -5*m + 4*p for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {u: 1, j: 1, q: 1, m: 2, t: 1, a: 1}. Give prob of sequence am.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1959 - -1958.9. Let q be 0 + 2 - (-8)\/(-5). What is the closest to 3\/4 in k, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 14*q**2 - 7*q. What is the units digit of t(4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 42 + -42.031. Let z = r + -4.569. Let m = z - -1.6. Sort -0.4, m, 2\/3.\nAnswer: m, -0.4, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (341 + 332 - 673 + 13263*q)*(-2*q - q + 2*q).\nAnswer: -13263*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -402 + 863353*t - 1726708*t + 863356*t.\nAnswer: t - 402","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 48363.\nAnswer: 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3*2\/4*2. Let n be 1\/(-6) + (-1)\/30. Which is the nearest to -0.3?  (a) l  (b) n  (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 10*z**3 - 16*z**2 - 2*z + 0 + 2 + 16*z**2. Let g be b(1). Suppose 0 = -14*h + g*h + 252. Calculate the remainder when h is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4882603 to the nearest integer?\nAnswer: 2210","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 2811, 2888, 3017, 3198?\n\"Answer: 26*p**2 - p + 2786","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(42)\/(sqrt(168)\/sqrt(7) - sqrt(6))*-3 - ((0 + sqrt(7) + (sqrt(14)\/sqrt(2) - sqrt(7)) - (sqrt(21)\/sqrt(3)*2 + sqrt(7))) + -2))**2.\nAnswer: -4*sqrt(7) + 11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34*m - 10 = 32*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/(h\/h**(-5\/6)*h))**14*h**12*h**(2\/9)*h assuming h is positive.\nAnswer: h**(-112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 26*z**2 - 15*z - 2. Let w(h) be the third derivative of -h**4\/12 - h**2 - 4*h + 336. Calculate w(j(i)).\nAnswer: -52*i**2 + 30*i + 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 + s + 1. Let a(z) = z**3 + 6*z**2 - 7*z - 6. Let c(l) = a(l) + 2*h(l). What is the lowest common multiple of 5 and c(4)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 102487429*g**4 - 8230 + 1601 - 102490358*g**4 wrt g.\nAnswer: -11716*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = -3*v - 5. Suppose -6798 = -v*f - 20*f. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 21*w. Let l(v) = -64*v. Let r(a) = 8*h(a) + 3*l(a). Let q(p) = 22*p + 18*p + 19*p - 76*p + 20*p. Calculate r(q(b)).\nAnswer: -72*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the first derivative of -x**3\/3 + 2*x**2 + 7*x + 3. What is the units digit of p(5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of 5923*o**3\/3 - 120*o**2 + 6*o + 5930. Find the second derivative of a(q) wrt q.\nAnswer: 11846","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -45 - -48. Solve -v - 1 = 0, 0 = 2*z + 4*v + 13 - x for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b**3 - b - 1. Let y be j(2). Suppose -z + v - 1 = 0, -y*z + 2*v + 6 = -z. Suppose z = 2*s - s. Solve s = -o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 147\/(-28)*(16\/3)\/(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -77 - -118. Let d = -39 + w. Find o such that 1 + d + 2*o + o**3 - 3*o**3 - o**4 - 2 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (14\/(-4))\/(7\/(-476)) + 2. Suppose 3 = -2*n - n, n - 71 = -3*k. Suppose 0*c = c - k. Calculate the highest common divisor of l and c.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 2 r when three letters picked without replacement from {r: 4, h: 3, z: 4, p: 3, k: 2}?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the first derivative of -5709*l**4\/4 - 4007*l**3\/3 - 5363. Find the third derivative of v(y) wrt y.\nAnswer: -34254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 32.61 and 1.826.\nAnswer: 34.436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.1 - 0. Let r = -1.5 - -0.5. What is the second biggest value in c, 1\/3, r?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/55?  (a) 1\/2  (b) 2  (c) 0  (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 294 and 1064.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.614 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*b - 2*b + 17*b**2.\nAnswer: 17*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = l**2 - 7*l + 8. Let y = 2 - -5. Give i(y).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f\/(f*f*(f*f*f*f**1)\/f))**19\/(f**(-9)\/(f\/(f*f\/(f*f*f\/(f\/(f**(-5)\/f*f*f))*f)*f))) assuming f is positive.\nAnswer: f**(-51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (192\/(-896))\/(5\/30).\nAnswer: -9\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 455730699 to the power of 1\/2, to the nearest integer?\nAnswer: 21348","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -4 + 32. Let p be 4 - 5 - (o + -1). What is the tens digit of ((-8)\/5)\/(p\/(-350))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*u + 2*c + 35 = 7*c, 0 = 4*u - c + 22 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((2\/(-7))\/((-12)\/21))\/((-51)\/(-131580)*30)?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 3*m - 5. Let s be b(3). Find the third derivative of -v**s - v**4 + 14*v**4 + 6*v**2 wrt v.\nAnswer: 288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.6955 - 1.66. Round d to three dps.\nAnswer: 0.036","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 522700.5 rounded to the nearest ten thousand?\nAnswer: 520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1083679 is divided by 6127?\nAnswer: 5327","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:48 AM and 6:50 AM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Divide 187581 by -6.\nAnswer: -62527\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -55460, -55614, -55866, -56216, -56664, -57210?\n\"Answer: -49*h**2 - 7*h - 55404","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 512?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 10 times 1690\nAnswer: 16900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.2580862 years to millennia.\nAnswer: 0.0002580862","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16 and 97344112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) -2\/11  (c) -4  (d) -0.1  (e) 95552\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**10*o*o)\/(o\/(o\/o**16)))**(-23) assuming o is positive.\nAnswer: o**529","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 15*d**2 + 145*d**3 - 168*d**3 + 45*d**3 to t*d**3 + v*d + n*d**2 + o and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:20 AM and 7:34 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 2315 + -1213. Calculate the remainder when i is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -q**2 + 515*q + 4170. Calculate z(-8).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.22 in 2\/7, -1, 4, 1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18 + (80\/((-120)\/(-12)) - -3). Solve -48 = -5*d + 22*a - 26*a, -2*d = 3*a - b for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -2 - (-10 + 12)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -245.0000005138 + 245. Round z to seven decimal places.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -204 - -644. Suppose -10 = -2*s, 3*i - 8*i - b = -4*s. Let q = i + 83. Put 6, 5, q in increasing order.\nAnswer: q, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from atttattttaattttttt. Give prob of sequence tt.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -79 divided by 8342\nAnswer: -79\/8342","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2. Let j(a) = 3*a**2. Let h(p) = j(p) - 3*z(p). Suppose -21 + 1 = -5*m. Let l(s) = 17 - s**2 - 13 - m. What is h(l(q))?\nAnswer: 6*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/m**(1\/2))**(-7))**40\/((m**(-7)\/(m*(m*m**(-3\/5))\/m))\/(m**(-2\/9)\/(m*m*m*m\/m**(2\/7)))) assuming m is positive.\nAnswer: m**(-43009\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -3*f**2 - 8*f + 69. What is a(4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1*2\/4*12. Let p(d) = d**2 - 15*d - 11. Let z be p(16). Suppose -16 - z = -3*c. Is h smaller than c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3454476003 to the nearest integer?\nAnswer: 1512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*u - 3*z - 1258 + 1250 = 0, -u = 4*z - 1 for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (26\/4)\/((-5)\/1)*716\/(-2327)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 137\/70 - 21\/10. Suppose -15 = -5*k - 0*k. Which is the nearest to k?  (a) -2  (b) -0.4  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 121\/786 and 27\/4.\nAnswer: 1572","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -1994916 less than 16094?\nAnswer: 2011010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -18b37c + 3?\nAnswer: -18b379","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b**(-13))\/b)\/b**(-3\/17))\/((((b\/b**(-5\/3))\/b)\/b)\/b*b\/b**11) assuming b is positive.\nAnswer: b**(-127\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 22943968?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5369518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 486046792?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -518269\/4 + 129568. Suppose -g - 4 = r, g + 2*g + r + 4 = 0. Which is the closest to -7?  (a) g  (b) l  (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(-4\/9)*p**(3\/11)*(p**(2\/31)\/p)\/p*p*p*p**(-2\/15)*p)**(1\/11) assuming p is positive.\nAnswer: p**(11654\/168795)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -5*k**2 + 4*k. What is x(4)?\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38004 = 8*n - 16468. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -6*x**5\/11 + 16622*x**4\/11 + 16634*x**3\/11 - 16622*x**2\/11 - 16628*x\/11 = 0.\nAnswer: -1, 0, 1, 8314\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yyhysysys. What is prob of sequence sy?\nAnswer: 5\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29 + -28.67. Let y = 0.23 - w. Let x = 3 + -8. Sort y, x, 2\/11 in ascending order.\nAnswer: x, y, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) be the third derivative of -y**5\/60 + y**4\/12 + y**3\/3 + 3*y**2. Let h be w(4). Let d(s) = -s**3 - 7*s**2 - 4*s + 8. Calculate d(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) be the third derivative of 2*y**7\/35 - 4*y**6\/15 + 7*y**5\/15 - y**4\/3 - 9*y**2. Find k, given that g(k) = 0.\nAnswer: 0, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 173876614\/15 - 2\/15*r**3 - 392498\/5*r + 886\/5*r**2 = 0. What is r?\nAnswer: 443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = -3*q + 32. Solve -2*m = -q*m + 4 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 9 + -3a?\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*2*sqrt(540))\/(-2*sqrt(12)*1 - (sqrt(108) + sqrt(108)*1 + sqrt(108) - sqrt(108) - sqrt(108))).\nAnswer: 6*sqrt(5)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 4*t**2 - 6. Let j(l) = 2 - 7*l + 2*l**2 - l**2 - 1. Let o be j(7). Determine q(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 138 = -8*u + 3*m, -131*u + 132*u + 2*m = 5*m - 12 for u.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -7 + y**3 + 2*y - 8*y**3 + 1 - 6*y**2 + 0*y**3. Let s(q) = -3*q**3 - 3*q**2 + q - 3. Let k(z) = 2*m(z) - 5*s(z). What is k(-4)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -63, -67, -71, -75?\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1032 * -1.39229.\nAnswer: -1436.84328","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iaiiaiiiiiaiiiaiiii. Give prob of picking 2 i.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*a = -737 + 17 - 78. Calculate the greatest common divisor of a and 3318.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 440.268 less than -2013?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/6103 or 0?\nAnswer: -9\/6103","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (3 - (-1 - -2)) + 207 is divided by (-23)\/(-230) - (-3 - -2)*3490\/100?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17637 - 7*t - 16134 - 17630 + 51401.\nAnswer: -7*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 171566 = 117*c - 1315855. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 33 = -5*b, 12 = b + d + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 3. Let m(p) = 4*p - 13. Let d(z) = -6*m(z) + 26*v(z). Let x(u) = 20*u. Determine x(d(q)).\nAnswer: 40*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19 + -23. Let q(n) = 99*n**2 + 4*n - 4. Let i be q(h). Is 15 a factor of i\/26 + (-26)\/169?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 21983*j**6 - 31522*j**2 wrt j?\nAnswer: 2637960*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 39191891 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -w + 4*w - w - 3 + 0*w. Let y be s(3). Find the third derivative of 6*x**2 - 5*x**y + 4*x**3 + 0*x**3 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14050 + -8344. Let c = 5750.93 - x. Let i = c - 44. Round i to 1 dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rtr when three letters picked without replacement from {h: 4, t: 1, y: 1, r: 4}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and 5708.05.\nAnswer: 28540.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 318 = 15*p - 1017. Let o = 97 - p. Calculate the lowest common multiple of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -7.5 - -2. Let i = 8.5 + g. Which is the second biggest value?  (a) -0.2  (b) 1\/35  (c) i  (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2639 plus 3.074?\nAnswer: -2635.926","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cb when two letters picked without replacement from bbcbccccbbcccccc?\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.21 + 0.09. Let q = 0.24 - 0.3. Let k = q - 3.94. What is the smallest value in -3\/5, k, u?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in ten thirds of a millennium?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 5\/8 of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 9332992 divided by 256?\nAnswer: 36457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 131*m - 3*m**2 - 131*m - 5*m**3 wrt m.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of i**3\/6 - 22925*i + 1. Let b(f) = 211*f**2 + 3*f - 3*f. Determine b(a(y)).\nAnswer: 211*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -0.4, -5, -1\/10, -64?\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -17 + 26. Let n = l + -10. Which is the second biggest value?  (a) -0.1  (b) 0.1  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1 - 60 - (-21)\/(-21). Let u = -59 - c. Calculate the highest common factor of 7 and u.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1051035077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108328.\nAnswer: 2, 11, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1593 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:33 PM and 12:06 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-33 - -19) + (58 - 42) - 46.\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 6469528?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x + 82. Let q be v(27). Suppose 0 = 25*y + 59 - q. Solve -2*m - 3*m + y*m = 0 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1\/(-2) + -1 + (-9486)\/(-68)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.553 less than -37211103?\nAnswer: -37211103.553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -420 + 1258\/3. Which is the closest to 1\/2?  (a) n  (b) -12  (c) 3  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3\/5  (b) -3\/7  (c) 3  (d) -22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/7?  (a) 191  (b) -5  (c) -0.1  (d) -79  (e) -0.07  (f) -4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*p + 4)*(-3 + 3 + 1) + (-1 - 1 + 3)*(-6 - 6 + 7)*(3 - 1 - 1)*(p - 3*p + p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -69\/471728 and -29\/251195160.\nAnswer: 502390320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 130708 to the power of 1\/2, to the nearest integer?\nAnswer: 362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/23)\/p**8*(p\/((p\/(p\/(p**(-1\/4)\/p)))\/p*p*p))**(11\/5))**(-4\/23) assuming p is positive.\nAnswer: p**(475\/529)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 34181, 45389, 56585, 67763, 78917, 90041, 101129?\n\"Answer: -p**3 + 11215*p + 22967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 302200033221 - 10?\nAnswer: 302200033211","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2.36 + 1.83. What is q rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11100011101000111000101 (base 2) to base 14\nAnswer: -dc256d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 18835*w**3 - 53*w**2 - 7356 - 57*w**2 - 18839*w**3 - 424*w**2 + 957 wrt w.\nAnswer: -12*w**2 - 1068*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-81)\/36 - -2)\/(3\/24). Put 107, 1, t, 4 in decreasing order.\nAnswer: 107, 4, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 3*f**3 - f**2 + 2*f + 12. Let h be t(5). Suppose u - 5*u + h = 0. What is the remainder when u is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 4  (b) -11  (c) -1  (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*l**3 + 17*l**3 - 6510*l - 855*l**2 + 855*l**2.\nAnswer: -3*l**3 - 6510*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.3255 - -0.01\nAnswer: -0.3155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 11 = -14. Suppose -265 = -x*z + 5*u, -3*z + u = -231 + 80. Is z a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35770327.\nAnswer: 41, 373, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (-2 + -5 + 8).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 23, 50, 77?\nAnswer: 104","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -104912 less than -104906?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 35 - 28. What is the tens digit of 2\/d + (-2304)\/(-21)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(j) = -j + 2*j - 5 - 2*j. Let g(h) be the first derivative of -h + 3. Let x(m) = f(m) - 5*g(m). Let v(r) = 4*r. Give v(x(o)).\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j + 11950*j**2 - 11425*j**2 - j + 3*j.\nAnswer: 525*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 31 - 38. Let j be (3\/s)\/(3\/(-21)). Suppose 11*u = j*u + 40. Is 5 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 5*j - 3. Let k be o(-4). Let h(l) = 12*l + 7. Let z be h(3). Let b = z - 40. Sort k, b, -1 in descending order.\nAnswer: b, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1, 3, 1583, 0, 573, 12.\nAnswer: -4, -1, 0, 3, 12, 573, 1583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8653 is divided by 238.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8226?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 97184 to the power of 1\/2, to the nearest integer?\nAnswer: 312","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1*(-1 - (-24)\/(-8)). Let f be n\/(-1) - (-40 + 15). Solve -5*i - f = -14 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -352 - -35. Let b = g + 322. Solve -b*m - 28 = 2*l, 0*l - 4*m - 4 = -3*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 0 - 2 + 0 - 2*o**3 + 3. Let a(n) = -10*n**3 + 5. Let v(c) = -2*a(c) + 11*l(c). What is the derivative of v(x) wrt x?\nAnswer: -6*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -142831, -571308, -1285437, -2285218, -3570651, -5141736?\nAnswer: -6998473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 912\/(-7) - (-10)\/35. Let h = 409 + f. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 * -28.2.\nAnswer: -84.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 47. Let i = 1439.8 - 1455. Let j = r + i. Which is the closest to 13?  (a) 0  (b) -1\/2  (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 5*f**3 - 44*f**2 + 55*f - 41. Let b(y) = y**3 - 9*y**2 + 11*y - 8. Let x(n) = 11*b(n) - 2*s(n). What is the lowest common multiple of 4 and x(10)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 4*y - 1. Let g be o(1). Find the first derivative of 2*k**g - k**3 - 3 - 5*k + 5*k wrt k.\nAnswer: 3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -334, -292, -250?\nAnswer: -208","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -99*h - 5868*h**3 + 101*h + 3*h**2 - 1 + 5869*h**3 as m*h**2 + i*h**3 + n + s*h and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) be the first derivative of 5 - 2*r + 2*r**3 + 19 - 14. Differentiate p(y) wrt y.\nAnswer: 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p*p**(1\/2)*p)\/p)\/(p\/(p\/(p*p**(1\/2)*p*p))*p*p)*p**5*p**5\/p)\/((p\/(p\/p**(3\/4)))\/p**(-7)*(p\/p**0*p)**12) assuming p is positive.\nAnswer: p**(-107\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -32?  (a) -0.05  (b) 1  (c) -1.34  (d) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/8, -2, 3, 99, 172 in ascending order.\nAnswer: -2, 3\/8, 3, 99, 172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by -189507?\nAnswer: -5\/189507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3453 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -2*l**3 + 7*l**2 - 5*l + 1. Let w be q(2). Which is the third biggest value?  (a) w  (b) 1  (c) -0.3  (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -565*q + 105623. Determine h(187).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = 346*c**2. Let d(s) be the first derivative of -s**3\/3 + 1174. Give d(i(g)).\nAnswer: -119716*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -2*-2*(-21)\/(-12). Let y = 49 - c. What is the tens digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7699145 a multiple of 37?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-261)\/145*1100\/30.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 14507981.\nAnswer: 149, 97369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 71279 to the nearest integer?\nAnswer: 267","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -121 times 0.3\nAnswer: -36.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -48 - -25. Let x = 21 + b. Let m = 0 - 4. What is the third smallest value in x, m, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11747.\nAnswer: 17, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 31845 and 1540?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from lttmlmllthhhhlhhhhh. Give prob of picking 2 l and 1 h.\nAnswer: 30\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -1107 (base 9) in base 11?\nAnswer: -683","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 900136 and 1184.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 438 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -360, -613, -762, -807, -748, -585?\nAnswer: -318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 426\/7455*(0 - 15\/(-4)). Is -1 at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 10538\/8*(5136\/(-749))\/(3\/(-7))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -2*a. Let r(q) = 2. Let l(n) = 9*n - 2. Let g(d) = -l(d) + 3*r(d). Let t(s) = -55*s + 50. Let c(i) = 25*g(i) - 4*t(i). Determine -3*c(p) + 5*j(p).\nAnswer: 5*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**4 - 16 + 18 + 60*b**3 - 6*b**2 - 62*b**3 to the form r + x*b**3 + l*b**2 + t*b**4 + y*b and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cck when three letters picked without replacement from qqqquucqqukuquqcqquu?\nAnswer: 1\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -125\/18, -1.7, -186?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.16531 rounded to 1 decimal place?\nAnswer: 2.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 o, and 1 v when three letters picked without replacement from ooooooooooooovoosoo?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*w**3 + 3*w**2 - 12686418*w + 293425734.\nAnswer: -6*w**2 + 6*w - 12686418","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 5563*x**3 + 34364*x - 5795*x**3 - 26657*x + 13061*x**3 wrt x?\nAnswer: 76974*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = -3*y**2 - 7*y - 9. Let x be n(-5). Let d = -59 + x. Let m be ((-2)\/8)\/(9\/d). Solve -4*z + z = m for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence woz when three letters picked without replacement from {j: 3, z: 2, v: 4, o: 1, w: 2}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 4111 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.07, 4, -26\/41, -0.6, 3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/6*51\/(-34)*-1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -2*v - 4. Let o = v + -9. Put -3, -2, o in decreasing order.\nAnswer: o, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = -2*c**4 - 9*c**3 - c**2 + c. Let s(p) = -7*p**4 - 551*p**3 - 68121*p**2 + 137815*p - 69169. Let t(j) = -2*s(j) + 6*u(j). Factor t(z).\nAnswer: 2*(z - 1)**2*(z + 263)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/((s\/(s*(((s\/(s**(9\/2)*s))\/s)\/s)\/s))\/s)))\/(s**(-5)*s))\/(s**3)**(5\/11) assuming s is positive.\nAnswer: s**(201\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 h when two letters picked without replacement from hhhhkhphh?\nAnswer: 7\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that i**3\/8 - 351139*i**2\/8 + 1404460*i - 11235424 = 0.\nAnswer: 16, 351107","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 199*t - 203*t + 12 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Add -11917 and 0.3.\nAnswer: -11916.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = 21*s**2 - 2*s + 14. Let n(f) = -f**2 + 7. Calculate -j(k) + 2*n(k).\nAnswer: -23*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 = 595\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 76 + -45. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -46 + 20 + 1298*u**2 + 19423*u**2 + 26 as p*u**2 + j*u + o and give p.\nAnswer: 20721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -3 - (9 + -1 - 1). Let f be (-4)\/(-18) + (-25)\/(-9). Let a(r) = -6*r**2 - 10*r + 6. Let p(b) = -2*b**2 - 3*b + 2. Determine f*a(k) + w*p(k).\nAnswer: 2*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = -b + 4. Let w(f) = -b + f + 1. Let p(v) = 7*v - 6. Let i(z) = 15*z - 13. Let x(c) = -6*i(c) + 13*p(c). Give w(x(j)).\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5 - 3. Let v = 7 + h. Which is the nearest to -0.2?  (a) v  (b) -0.4  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1003214 to the power of 1\/4, to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**3 - 5*x**2 - x - 1. Let l(n) = -5*n**3 + 16*n**2 + 5*n + 7. What is l(h) + 3*q(h)?\nAnswer: -2*h**3 + h**2 + 2*h + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 - ((-22 - -35 - 34) + -13)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 328729 is divided by 46817.\nAnswer: 1010","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (44\/(-33)*2\/(-40))\/(1\/6).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000323660412 to six decimal places.\nAnswer: -0.000032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pzmz when four letters picked without replacement from {z: 7, p: 4, m: 4}.\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -677 + 1413. What is the hundreds digit of p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (6\/4)\/(1\/2). Suppose -z*u + 23 - 8 = 0. Suppose 0*w - 55 = -u*w. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 161674, 323355, 485036, 646717, 808398?\nAnswer: 970079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -62*g**2 - 9*g + 12 - 2 + 63*g**2. Let p be s(8). Let f(l) = -22 - 10*l + 22 + p*l. Let h(r) = -r**2. What is f(h(a))?\nAnswer: 8*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**2 - x + 1. Let z be 2*((-9)\/(-6) - 2). Let u(i) = 5*i**2 + 3*i. Let n(r) = z*u(r) - 6*q(r). Let s be n(-5). Solve -s*p = 6 + 14 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2097)\/(-4660)*(-4)\/(-3)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = 6*x**2 - 12*x + 13. Let o be q(1). Solve -o = -5*a - 2 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from {u: 3, g: 17}?\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 3.86 - 4.26. Round r to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, 5, 0.04, 383\/4, 4, 0, 603?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 936 a factor of 466829064?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -9869813 not equal to -9869813?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -3, 1\/9, -1\/2, 6, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s, 1 w, and 1 v when three letters picked without replacement from rvooxxsw?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 5*r = 0, 0*r - 2*r + 33 = -5*s. Is s != -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 13\/12, -2\/3, 838, 0.04.\nAnswer: -2\/3, -0.4, 0.04, 13\/12, 838","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j - 15955 = -0*j - 62955. Calculate the remainder when j is divided by 48.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 57\/4, 0.5, 417?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12.01 - -0.01. Let x = 17 + z. Which is the second biggest value?  (a) 11  (b) -0.4  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 219*m**2*t + 16*m**2 + 9*m - 7*t + 1 wrt t.\nAnswer: 219*m**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 29*f = 32*f - 4908. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -41 - 35 + 152 + 274*s**2 - 34 - 42.\nAnswer: 274*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in fourty-six fifths of a milligram?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -13775, -28592, -44459, -61376, -79343, -98360?\nAnswer: -118427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*((-28 - (5 + -41)) + 82\/(-10)) + -29.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(108)*-1)\/sqrt(9))\/(-6*sqrt(66)\/(sqrt(66)\/sqrt(6))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 15814848, 15814849, 15814850, 15814851, 15814852, 15814853?\n\"Answer: s + 15814847","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14793*s**3 + 314 - 24240*s**3 - 317 + 8027*s**3 + (3*s**2 - 4*s**2 + 3*s**2)*(-2*s + 4 - 4).\nAnswer: -31010*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 57, 144, 231, 318?\n\"Answer: 87*u - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -979\/4590 - -26\/85. Let r = 18659\/27 - 691. Let y = v + r. What is the nearest to -1 in y, -1\/5, 3\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -300*u + 3991 = -9209 for u.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + -6*((sqrt(99) + 2 + sqrt(99) + sqrt(99)*2 + sqrt(99))*-6*2 + 2)*-3)**2.\nAnswer: 2546640*sqrt(11) + 115628049","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 0) + (-3 + 6 + -12 - (-1 + 38))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 28077580?\nAnswer: 2, 5, 1403879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = b**3 + 623*b**2 + 42980*b + 2193. Give k(-544).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 + 9 = 5*k. Suppose 7*i = 6*i + 3. Calculate the remainder when k is divided by i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 k and 1 j when three letters picked without replacement from {k: 13, a: 2, j: 5}.\nAnswer: 13\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 24586?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 207 and 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2842170?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.048 - -7?\nAnswer: 7.048","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/((d\/(d\/(d\/(d\/((d**1\/d)\/d)))))\/d*d)*d)\/d)**(-49)\/(d**23*d**(-18)*d*d) assuming d is positive.\nAnswer: d**(-105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -4*w**2. Let n(y) = 105580*y**2. Determine a(n(o)).\nAnswer: -44588545600*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 80906 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 103691 in -0.03, -2.2, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 824, -157, -1158, -2185, -3244?\n\"Answer: -a**3 - 4*a**2 - 962*a + 1791","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 120298241?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.22 - 0.13. Let o = 103.09 + -102. Let j = o - x. What is the closest to j in 1\/2, -0.2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 4*h**3 - 114*h**2 + 165*h - 70. Give y(27).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -182165\/28 + 19517\/3. Calculate the common denominator of -47\/3 and r.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1 + -9 + (-2721216)\/(-576))*111 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2798687 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 1350, 1354, 1360, 1368, 1378, 1390?\n\"Answer: s**2 + s + 1348","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1 + 15043086?\nAnswer: 15043085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-2)\/(-3))\/(((-3782)\/3534)\/(-61))\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -4*b**2. Let a(j) be the first derivative of 2*j**2 + 43. What is p(a(d))?\nAnswer: -64*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 170 = -5*w - 17, 0 = 2*w - p - 57. Let y(k) = -k**2 - 16*k - 2. Let o be y(-9). Let r = o + w. What is the remainder when r is divided by 46?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48391 divided by 6.\nAnswer: 48391\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (5\/((-260)\/144))\/((-480)\/3120)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -1083*l - 128 - 2510*l**3 - 4976*l**2 - 261*l + 1416*l**2 - 182*l**4 + 974*l**3 = 0.\nAnswer: -4, -2\/7, -2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -68\/31005 and -10\/2067.\nAnswer: 31005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - r**2 + 7. Suppose 11 = 2*i + 11. What is o(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6800 and 250.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000002978 rounded to seven dps?\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 - 2 = 2*n. Suppose l = -3*i + 230, -n*l - 60 = -5*i + 4*i. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (9*s**3 - 5*s**3 + 7*s**3)*(6*s - 11*s - 5*s + 3 + s - 3 + (2 + 3 - 4)*(-s + s - 2*s)).\nAnswer: -121*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2550 divided by 510.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.5  (b) -89  (c) -0.1  (d) -12.5  (e) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*f**5 + 118895640*f**3 - 17209194*f**2 + f - 1?\nAnswer: -180*f**2 + 713373840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 2*l = 2 - 3, -5*j - 3 = -2*l for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1400) + 1*sqrt(1400) - (sqrt(14) + sqrt(504) + -1*sqrt(504) + sqrt(14) + sqrt(14)))\/((-2*sqrt(224))\/(sqrt(512)*2)).\nAnswer: -68*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.2, -5, -1\/6, 12174, -1\/9?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 247 - -89. What are the prime factors of u?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -306.692783 to 0 decimal places.\nAnswer: -307","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0.5, -0.281, -2\/7, 3.\nAnswer: -1, -2\/7, -0.281, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 922123 + -1?\nAnswer: 922122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(964920\/(-68)))\/((-2)\/(-22))?\nAnswer: 1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 197 divide 16942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 11\/318 in 0.3, 56, 2, 2\/17, 2\/7, -2?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 446 minutes after 9:02 PM?\nAnswer: 4:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4629344?\nAnswer: 2, 144667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1887*u**5 - 1787*u**4 + 5*u**2 - 3682958 wrt u.\nAnswer: -113220*u**2 - 42888*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 54308?\nAnswer: 2, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 64569.44 rounded to the nearest 100?\nAnswer: 64600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 95.1255 * 2\nAnswer: 190.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/45 + 8\/(-3)*(-39)\/468. What is the closest to j in 0.4, 3, 7, 0.05?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 3*h. Let m(r) be the second derivative of -11*r**6\/720 + r**4\/12 - 5*r**2 + 83*r. Let z(g) be the third derivative of m(g). Determine l(z(a)).\nAnswer: -33*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Add 1286507 and 0.668.\nAnswer: 1286507.668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 107 is divided by 43?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -s + 6. Let o be v(3). Suppose -61 = o*q + 107. Let u = -8 - q. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 1, m: 1, t: 1, e: 1, n: 1, k: 2}. Give prob of picking 1 t, 1 o, 1 m, and 1 e.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yeesekgeeyteet. What is prob of picking 1 y and 1 e?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 99*o = 89*o + 30 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 279498208.\nAnswer: 2, 11, 19, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2)\/(-7) - (176\/28 - 3).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 51*o**3 + 70*o**3 - 77*o**3.\nAnswer: 44*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 360 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n = 25, -5*w - 5298 = 5*n - 5348 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -3*x - 29, 0 = -x + 3*x. Suppose -4*t + w = -91. Solve 25 = 3*o - 2*v, 0 = -3*o + o + 4*v + t for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15 + 33. Suppose 12*j - j - j = 0. Suppose -40 - 33 = -4*x - 3*s, -3*x + s + 45 = j. What is the highest common factor of x and d?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes before 9:11 AM?\nAnswer: 3:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -319 + 322. Let q(g) = 8*g**3 - g**2 - g + 1. Let s be q(1). Let t(r) = r - 6. Let o be t(s). Calculate the greatest common factor of o and l.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tllw when four letters picked without replacement from lwhxthhxwltwet?\nAnswer: 3\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 307 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*g - 75*g = 180*g - 1742 + 7515 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 y, and 1 n when three letters picked without replacement from vyqycny?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -233 - -449. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 155 is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*w - 10 - 4*w + w)*(w + 0*w - 7*w) to a*w + d + o*w**2 and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 421 + -218. What is the tens digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*i**3 + 2629*i**3 + 4 - 4 + 512*i**3.\nAnswer: 3204*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express (68694*v + 5295*v**2 - 68694*v)*(-v**2 + v**2 + 4*v**2) as h*v + t*v**2 + k*v**4 + l + y*v**3 and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 81*d - 1863 = 108*d. Sort 21, -2, d.\nAnswer: d, -2, 21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 34 and 16?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dduddduddudddddddddd. Give prob of picking 2 d.\nAnswer: 68\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-9)\/(-2) - 3255\/(-70) is divided by 17?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -20*u**3 + u**2 + 5*u - 3. Let j be s(2). Let q = j + 151. Solve q*c - 2*r - 6 = 0, 0*r = 3*r + 12 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-46 + 46 + 8*l**4)*(176 - 94 - 89).\nAnswer: -56*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(297)\/sqrt(3) - sqrt(11))**2 + (3*sqrt(1100))**2.\nAnswer: 9941","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 less than -25194?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Sort 176, 2.8, 0.1 in decreasing order.\nAnswer: 176, 2.8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 4176 and 648.\nAnswer: 37584","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l + 2218 = 3*i - 7041, -3*l + 4*i + 27855 = 0. List the prime factors of l.\nAnswer: 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 - 29 = -9*k + 11 for k.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -24*a**3*d*h*m + 2*a**3*d*h + 5*a**3*d*m + a**2*d*m + 2*a**2*d - 91*a**2 - a*d*h wrt a?\nAnswer: -144*d*h*m + 12*d*h + 30*d*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 22970770 to the power of 1\/2, to the nearest integer?\nAnswer: 4793","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 901 is divided by 54.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10 - 0 - 23\/((-391)\/(-459))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -100*w = -4*p - 96*w + 680, -5*p - 3*w + 874 = 0. What is the remainder when p is divided by 15?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 251324610 and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of h**2\/2 + 6*h - 3. Let n be 5\/15 - (-2)\/(-6). Determine m(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c*(c*c*c**9)\/c)\/((c*c*c**26\/c*c*c)\/c) assuming c is positive.\nAnswer: c**(-17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 568 minutes after 9:12 AM?\nAnswer: 6:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1452)*1 - (-1*sqrt(300) + sqrt(300)))\/((sqrt(72)\/sqrt(324))\/sqrt(2)) + -4)**2.\nAnswer: -528*sqrt(3) + 13084","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 115*v**3 + 3 - 4*v**2 - 4 + 2 - 2*v. Let d be a(-1). Let p = d - -335. List the prime factors of p.\nAnswer: 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -1. Let u(h) = -h + 5. Let g(c) = -4*t(c) - u(c). Let a(m) = -24*m + 15. Let r(b) = a(b) + 4*g(b). Is r(-10) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 + (-1847864)\/(-57)*(-3)\/(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-42)\/(-189) + 32\/18. Let a = -12 + 4. Let d be ((-18)\/a)\/(6\/16). Solve -f*y - y - b = -d, 15 = -5*b for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*q - 484*q**2 + 2*q - 99*q**2 - 417*q**2.\nAnswer: -1000*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-866)\/(-8) + 4\/(-16). Let u be v\/(-27) + (-256)\/(-26). Suppose -16\/13 - 32\/13*t**5 - u*t**2 - 290\/13*t**3 + 8*t - 176\/13*t**4 = 0. What is t?\nAnswer: -2, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1 + sqrt(891))**2.\nAnswer: -72*sqrt(11) + 907","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, 1, -3\/7, -9, 4344 in descending order.\nAnswer: 4344, 1, -0.4, -3\/7, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 6\/27 + (-32)\/(-18). Suppose -5*p = -2*w - 16 - 3, 3*w - 5*p = -16. Factor 0*y - 2*y**w + n*y**2 + y - y + 2*y - 2.\nAnswer: -2*(y - 1)**2*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 859 + -857. Suppose 3*t - d = t + 51, f*d - 150 = -5*t. Solve 0*i + 2*i - 4*s + 20 = 0, 0 = 4*i - 4*s + t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -262 - -270. Find the second derivative of -13*s**4 - 1 - 70*s**4 + h*s + 196*s**4 wrt s.\nAnswer: 1356*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -27*b**3*t*x*y + 74*b**3*y**3 + 2*b**2*t**2*x**2*y + 3*b**2*t**2*x*y**2 - b*t**2*x + t**2*x*y**3 + t*x**2*y**3 wrt y?\nAnswer: 444*b**3 + 6*t**2*x + 6*t*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 3*t - 286, 0 = q + 2*t - 112 - 31. What is the remainder when q is divided by 63?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*r + 20 = -4*m, -24*m - 25 = 3*r - 19*m. Sort r, -116, -4\/9 in decreasing order.\nAnswer: r, -4\/9, -116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-14 + 14 - 16*s)*(3*s - 5*s + s + s + 5*s - 5*s + (s - 4 + 4)*(2 - 4 + 4) - 2*s - 2*s + s + 2*s + 3 - 3)*(-10*s + 21 - 21).\nAnswer: 160*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 85541.\nAnswer: 113, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 964 and 8901335?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 9, w: 2, g: 1, o: 6}. Give prob of sequence oh.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) be the second derivative of -c + 38 - 1\/3*c**3 - 9\/2*c**2. Determine j(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -q**5 - 319*q**4 + 3737*q**3 + 924219*q**2 - 4?\nAnswer: -60*q**2 - 7656*q + 22422","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/100 and 113\/1040.\nAnswer: 5200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((2 + 2 - 2)*(-27 - 34 + 26)*(4 + 0 - 5) + (2 - 2 - 2)*(4 + 1 - 3))*(-8*a**4 - 18*a + 18*a).\nAnswer: -528*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 33*-49\nAnswer: -1617","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 11.5 + -18.5. Let i = -2.2 - -0.2. Put 2, i, l in descending order.\nAnswer: 2, i, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-2*sqrt(128) + sqrt(128) + -4 - (-2 + -1 + sqrt(128)))*6 + (sqrt(128) + 4 + sqrt(128) + -1 - (sqrt(128) + -3)*-6))**2.\nAnswer: 1344*sqrt(2) + 2489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express 25 + 16*t + 18*t - 35*t as c + p*t and give c.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 23 + -22.9. Which is the smallest value?  (a) 0.4  (b) -0.3  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1728 or 132447?\nAnswer: -1728","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x - 9. Let k be v(3). Let h = -1097 - -1803. What is the units digit of k\/24 - h\/(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 277 = 3*w + s, 6*w - 281 = 3*w - 2*s. Let o be 52\/w - (-3940)\/14. Suppose -3*u + 2*u = -4*i + o, -2*i - u + 144 = 0. What is the tens digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 2\/17 or 837397?\nAnswer: 837397","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide -200 by -86.\nAnswer: 100\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 - 6*c**2 - c + 4. Suppose -f + 34 = -4*z - 3*f, -3*z - 36 = 5*f. Let t be n(z). Suppose -3*h = 6 - t. Is 18 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d + 6 = 0, 6 = -2*u - 3*d + 23. Suppose -3*r = 5*m - 18, m - u = r + 6*m. Suppose -2*i - 10 = -4*i. Calculate the lowest common multiple of i and r.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13651*x**2 + 1797*x**2 + 2893*x + 67*x**2 - 2893*x to v*x + q*x**2 + r and give q.\nAnswer: -11787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 161050590 and 210?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 2, h: 4, o: 3, f: 4, i: 1}. What is prob of picking 1 z and 1 h?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21420434 - 12?\nAnswer: -21421001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.08 + 0.28. Let h = -15 + 12. What is the nearest to -1\/2 in a, h, 0.4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6386 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 - 4*d - 1. Suppose o - 1 + 4 = 0. Let j be l(o). Factor 9*i**3 + j*i**2 - 8*i + i**2 - 5*i**2 + 4 - i**2.\nAnswer: (i + 1)*(3*i - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 20 + -121\/6. Let w = -23\/565 - 18\/113. Which is the smallest value?  (a) 0.1  (b) -4  (c) w  (d) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 50 + -1?\nAnswer: 4d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i + 71 + 83. Suppose 4*n - 53 = -4*v + 3*n, 0 = 4*n + 12. Calculate the highest common divisor of v and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 - s**2 - 3*s + 5. Let y be z(2). Let d(v) = v**2 - v - 2. Let k be d(-2). Find the second derivative of 0*a**3 + 2*a - 4*a - y*a - k*a**3 wrt a.\nAnswer: -24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + y**2 - y - 1. Let r(u) = 3*u**3 - 9*u**2 + 9*u + 9. Let z(b) = 6*o(b) + r(b). Factor z(q).\nAnswer: -3*(q - 1)*(q + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(-27)*i**(-7\/3) assuming i is positive.\nAnswer: i**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s = -2*w + 1442, -13*w = -4*s - 12*w - 1916. Let g = -57 - s. What is the hundreds digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16117951 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -7817.65006 rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29931?\nAnswer: 3, 11, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 3\/12 + -178*6\/48. Let n be (8\/(-6))\/(m\/33). Solve -n*g + 3 = -3 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-10))\/(-1)*(50\/8)\/(-1)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the first derivative of -276*i**4 - 597*i - 503. What is the first derivative of t(s) wrt s?\nAnswer: -3312*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 7*z**2 - 4*z. Let p(x) = -57*x**2 + 33*x. Let f(h) = -4*p(h) - 33*w(h). Let k(c) = c**2. Determine k(f(t)).\nAnswer: 9*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 9 = 2*q, 5*i = -0*q + 2*q + 11. List the prime factors of q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1256\/(-32028))\/((-8)\/(-120))?\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-50)\/(-20)*(-4)\/25.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 2*j = 422 - 1107, 4*g - 925 = 5*j. Let b = 49 + g. Is b a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*p**2 + 3*p**3 - 3*p**2 + (2*p**2 + 0*p**2 - 3*p**2)*(-2 - p + 2) + (p + 2*p - p)*(8*p - 8*p - 7*p**2) to j*p**3 + b + n*p**2 + o*p and give j.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d = -3*v - 12 + 36, 2*d + 4*v = 22 for d.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 33 - 30. Suppose -q*f = 4*p + 14 + 14, -3*p - 4 = -2*f. Suppose -4*c = -2*a - 18, a + 11 = -c + 4*c. Put a, 5, f in ascending order.\nAnswer: a, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3 - (3 + -6 + 4). Let m(y) = 27*y - 22*y + y**2 + j - 5 - 7*y**2. Let a(v) = 5*v**2 - 4*v + 2. Calculate -5*a(x) - 4*m(x).\nAnswer: -x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -8594.6 rounded to the nearest integer?\nAnswer: -8595","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:56 PM and 4:01 AM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2909, 2668, 2427, 2186?\nAnswer: 1945","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*d - 4*d - 8*d + 4.\nAnswer: -9*d + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2 - (-480)\/5*1?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 64500 is divided by 547?\nAnswer: 501","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 4*p - 4*p - p**2 - 20*p + 20*p - 14*p**2 + (-2*p + 2*p - 3*p**2)*(2 + 3 - 3) - 1 - p**2 + 1 to m + k*p + a*p**2 and give a.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1347686.\nAnswer: 2, 359, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o\/(o\/(o\/((o\/o**0)\/o))*o))\/o**(1\/29))**46)**(-47) assuming o is positive.\nAnswer: o**(2162\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -23998*w**5 - 103*w**4 + 3442471*w**2?\nAnswer: -1439880*w**2 - 2472*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 132791, 132790, 132789, 132788, 132787, 132786?\nAnswer: 132785","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 58586 and 198?\nAnswer: 527274","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u + r + 4, -16*u + 11*u - 7 = r. Let t(i) = i**3 - i**2 - 1. Let j(s) = -42*s**3 + 35*s**2 + 35. Determine u*j(y) - 35*t(y).\nAnswer: 7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 + 14 = 5*q. Let a = 13 - 8. What is the common denominator of 74\/9 and 5\/q*2\/a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + 0 + 2 + sqrt(20)\/sqrt(4)*-2 - sqrt(55)\/(sqrt(99) + -2*sqrt(99))) + ((sqrt(500) + -1)**2 - (sqrt(5) + -2 + 2)**2) + 2.\nAnswer: -62*sqrt(5)\/3 + 500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = g**3 - 4*g**2 - 3*g + 3. Let t be k(4). Let i = 25 + t. Calculate the lowest common multiple of 14 and i.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -59122\/14685 - -778\/165. Let m = g + -2\/89. Is m not equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -6\/11, -5, 1, 0.1, -2, -4\/5, 44?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 170 is divided by 48.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-246)\/(((-13)\/(-2))\/13 - 2). What is the second derivative of 52*b**4 - 94*b + 26*b - i*b**4 - 77*b**4 - 47*b**4 wrt b?\nAnswer: -2832*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m = 5*g + m - 5377, 3*m = -2*g + 2134. What are the prime factors of g?\nAnswer: 29, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 186452468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*p = -26*j + 28*j + 11, 0 = j - p + 2 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (17628\/3164)\/(6\/28).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2250038)\/(-20760) + 2\/(-15) - (-4)\/((-16)\/5)?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (3 - 0)\/(-12) - 517\/(-4). Suppose -q + f = -10, 3*q - f = f + 26. Let i be z\/1 - q\/2. Calculate the highest common divisor of 14 and i.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = c. Let y(i) = -7*i**2 + i + 1. Let p(h) = -6*o(h) - y(h). Is p(-6) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1434?\nAnswer: 2, 3, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/(-2) - (-18)\/12?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 18773*f**2*q + f*q + 2*f - 397 wrt f?\nAnswer: 37546*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*d - 12*d - 5 = 0. Let k(w) = -43*w**3 + w**2 - w + 1. Let p be k(d). Let r = -39 - p. List the prime factors of r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 258*m - 263*m + f + 31, 3*m - 2*f = -2*m + 32 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18868.\nAnswer: 2, 53, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 13*b**3*o**5 + 2*b**3*o + 106*b**3 - 4*b**2*o**3 + 4*o**2 wrt o.\nAnswer: 780*b**3*o**2 - 24*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -3*u**5\/5 - 24*u**4 + 114*u**3 + 432*u**2 - 2835*u - 10197. What is f in k(f) = 0?\nAnswer: -35, -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 3*v = -378. Is 14 a factor of (-4)\/(-3)*v\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-83*t**2 + 85*t**2 + 2*t + t)*(-4 - 1 + 2) as w + m*t + x*t**2 and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*n - 14. Let v(h) be the second derivative of 1\/12*h**4 + 3*h**n + 0 + 0*h**3 + h. Calculate v(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131 (base 4) in base 5?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 0*m = 2*m. Solve 7*q - 3*q + 12 = m for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 394171 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -6*p**3 + 4*p - 11. Let h(l) = -5*l**3 + 3*l - 11. What is -4*h(n) + 3*u(n)?\nAnswer: 2*n**3 + 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1339?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 112?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205432.\nAnswer: 2, 25679","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m - 3 = 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(576) + sqrt(9))\/((sqrt(36)\/sqrt(4))\/sqrt(3)).\nAnswer: -15*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5710 in -2\/5, 5, -1, -4, 4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-three fifths of a millennium in centuries?\nAnswer: 106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 3732379, 3732382, 3732395, 3732424, 3732475, 3732554?\n\"Answer: r**3 - r**2 - r + 3732380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9881421?\nAnswer: 3, 11, 23, 47, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*b + 33*b = 7*b + 19 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 17 = -m - v, -2*m = -2*v - 18. Let y = -22 - -34. Let t = -5 + y. Calculate the lowest common multiple of m and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -325 - -583. Suppose 663 = -5*h + m. Let c = h - -85. Solve 0 = -0*u + c*u - 4*y + 12, -u + 5*y - 3 = 0 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 209, 582, 1133, 1862, 2769?\n\"Answer: 89*a**2 + 106*a + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 168 + -164. Solve -5*a = -2*n - 18, y*a - 22 = 4*n + 2 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*b + 5*r - 9, 4*b - 5*r + 8 = -4 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 4b67 (base 13) in base 16?\nAnswer: 29ec","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t - 3. Let y(p) = -p**2 - p + 3. Suppose q = -3 + 6. Let n be y(q). Let m = -5 - n. Give g(m).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + 6 + (-4 - (6 + -9))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d = 14285 - 467. Calculate the greatest common factor of d and 70.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 604, 647, 678, 691, 680, 639, 562, 443?\n\"Answer: -m**3 + 50*m + 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-5*sqrt(832) + -3*sqrt(1300)*1)**2.\nAnswer: 469300","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 83 + -69. Calculate the greatest common factor of t and 448.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 10*z + 11. Let h be r(8). Suppose -5*s - 39 = -159. Let w = s + h. Is w a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 2012?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**3 + 12*f**2 + 7*f - 14. Calculate the least common multiple of q(-11) and 20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1037086?\nAnswer: 2, 518543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y - 2. Let n(h) = -149 + 292 - 145 - h. Give 6*n(p) - 5*r(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of -4*(-82)\/(-16)*-44?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 964.4991 kilometers in micrometers?\nAnswer: 964499100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -13, 46, -3.\nAnswer: -13, -3, 46","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + 3*((2*sqrt(180)*-5)\/sqrt(4) + ((sqrt(360) + (sqrt(360) - sqrt(360)*-2)*-5)\/sqrt(8))**2)*2.\nAnswer: -180*sqrt(5) + 52920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 409*d + 377 - 1638 + 357*d with respect to d.\nAnswer: 766","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -37881 - -165116. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 112, 2, -633 in ascending order.\nAnswer: -633, 2, 112","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {y: 1, j: 2, b: 1, r: 1, a: 1, f: 1}. What is prob of sequence arb?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o - 16. Let b be r(0). Let i = 29 + b. Does 7 divide i\/2*(1 + 3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 + -3d3a840?\nAnswer: -3d3a840","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 375 and 36625?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -b + 3*b = -2, -5*x + 23 = 2*b for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 746835.\nAnswer: 3, 5, 49789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**5*k**5\/k assuming k is positive.\nAnswer: k**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -26*h + 458 - 692 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 3*t**2 + 7*t + 4. Let x be r(-4). Suppose g = -4*m - 28, -4*m + x = -3*g - m. Let b = g + 15. Solve -5*w + b - 13 = 0 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 137 minutes after 5:40 PM?\nAnswer: 7:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 7 - 10. Let u(y) = -y**3 - 2*y**2 - 12*y - 3 - 7*y + 19*y. Let x be u(c). Calculate the greatest common divisor of x and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 10332302 (base 4) to base 7\nAnswer: 113324","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1385, -1387, -1391, -1397, -1405, -1415, -1427?\nAnswer: -1441","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -21964798, -9 in ascending order.\nAnswer: -21964798, -9, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10.4 - 10. Let q = f + -0.36. Let p be (4 + -3)\/(58 + -60). Sort p, q, 5\/3.\nAnswer: p, q, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1a8 - -9a7?\nAnswer: b4f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 7084 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 449 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 38192 is divided by 222.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mao when three letters picked without replacement from {o: 8, m: 2, i: 1, a: 5, q: 2}.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1 + 4302?\nAnswer: 4303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*c - 5*o - 59656 + 196447, 136796 = 2*c + 4*o. Suppose -7*g - 303608 = -c. What is g rounded to the nearest 1000?\nAnswer: -34000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5088742156 to the power of 1\/3, to the nearest integer?\nAnswer: 1720","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -33, 73, 263, 549, 943, 1457, 2103, 2893?\nAnswer: 3839","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 36*d**3 + 150. Let v(y) = -y. Determine z(v(f)).\nAnswer: 108*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 2*v**2 + 2*v - 2. Let h be m(-2). Let k(o) be the second derivative of 11*o**5\/5 - o**4\/3 + 5*o**3\/6 - 5*o**2\/2 + 10*o. Is k(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*f - 2*s = -f - 6*s, -2604*f + 5*s = -2601*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange m + 0*m + m - 3*m + 0*m + 4*m + m - 1 + 1 + (m - 2 + 2)*(0 + 1 + 2) + 7 + 57*m - 42*m - 13 to v + u*m and give u.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 - 3 - (-11)\/(55\/20).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 25, -f + 4*f - 2*o + 158 = 0. Let w be (-232)\/f - 4*1. What is p in 3\/7*p - w*p**2 + 4\/7 = 0?\nAnswer: -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-52)\/(-16) + (-2)\/8. Let r = u + 8. What is the units digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9 - (-1 - (-6 - -10)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0 + 0. Let t = 5 + -6. Let d = 4 + t. Put p, d, -4 in descending order.\nAnswer: d, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/sqrt(98))\/sqrt(2) - (3 + (4*sqrt(156))\/sqrt(12)).\nAnswer: -27*sqrt(13)\/7 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 9 + 2 + -3 - 12 - -3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*k - 21 = -2*y, 3126*k + 35 = 3131*k + 2*y for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -51*d + 76945 - 150261 = -75866 for d.\nAnswer: 50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 200, 592, 1178, 1958, 2932?\nAnswer: 4100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67383 is divided by 136?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n\/(n*n\/(n*n**(2\/5))*n)*n*n)\/n)\/(n\/(n**(2\/7)\/n)))**(11\/7)\/(n**6\/n*n\/n**(-6\/11)*(n\/n**(-3\/8))\/n**(-2\/11)) assuming n is positive.\nAnswer: n**(-219213\/21560)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -139, 0, 5, 1, -3.\nAnswer: -139, -3, 0, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/11 and -82\/1065?\nAnswer: 11715","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 302 = 2*i, 3*f - 2*f - 5*i - 55 = 0. Let p be f\/14 + 2\/(-7). Solve 3*b + 0*b = 2*o + 7, -5*b + p*o = -9 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*z**4 + 5*z**4 - 26*z**2 + 24*z**2 + 2*z**3 as a*z**3 + q*z**2 + m + n*z + w*z**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 99\/(-42) - -6*1\/4?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r - 9 = 5*r - 9*r, 0 = -2*m + 4*r + 3*r + 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.016 - 67.684. Let o = c + -8.3. Let p = -75.99999969 - o. What is p rounded to 7 decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*b**2 + 3*b**6 + 0*b**6 - 8*b**6 - 5*b**2 wrt b?\nAnswer: -600*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.29031 weeks to days.\nAnswer: 338.03217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 1 = 3. Factor -13*t**4 - 3*t**3 - d*t**2 + 16*t**4 - 4*t**2.\nAnswer: 3*t**2*(t - 2)*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 <= -9\/3121592?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -2*k - 6, -4*k - 3*g + 8 = g. Let l = k - 3. Suppose -c + m + 17 = -2*m, l*c + 5*m = 0. Solve f + u + 8 = -u, 3*u = c*f + 14 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1046789484.999999496 - -1046789480. Let n = h + 5. Round n to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a - 2*a + 5*a)*(-124 - 65*a**3 + 124) - a**4 + 2*a**4 + 0*a**4.\nAnswer: -64*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1\/(-3 - -4) + -75 + 60512\/806?\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (57\/(-152)*(-2)\/(-1293)*27)\/(-12) and -58\/5?\nAnswer: 34480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -3, -6\/7, 0.31, -0.11?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 11, v: 1}. Give prob of picking 1 v and 1 g.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 907730 is divided by 2503?\nAnswer: 1644","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 23111 is divided by 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 11, j: 2}. What is prob of picking 2 z?\nAnswer: 55\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-2 + (sqrt(1377) + -3 + sqrt(1377) + sqrt(1377) - sqrt(1377)))**2.\nAnswer: -180*sqrt(17) + 5532","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -72 - -132. What is the greatest common divisor of 24 and c?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times 2859999\nAnswer: -5719998","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of -33*s**6\/5 + s**5\/10 + s**4\/3 + 59*s**3 + s**2\/2 - 179*s + 2. What is the second derivative of l(d) wrt d?\nAnswer: -2376*d**2 + 12*d + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52\/3 of a week in hours?\nAnswer: 2912","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -25 + 26 + 1 + 1.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wfwwwfwfffwfffwwfwfw. What is prob of picking 3 f?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.2*-0.0254\nAnswer: 0.00508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Express -3063*g - 24549*g - 10617*g in the form h + b*g and give b.\nAnswer: -38229","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4*(-38)\/((-15048)\/(-27)).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 63\/16 and -13\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8*o**4 - 2*o**4 + 5*o**4 - 2*o**4 - 1 + 2*o**3 + 1 + (-o**3 + 12*o**2 - 12*o**2)*(-o - 2*o + 5*o).\nAnswer: 7*o**4 + 2*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 8, h: 5}. Give prob of picking 2 s.\nAnswer: 14\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = -7905*k + 39515. Calculate w(5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7986 - -2?\nAnswer: -7984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Divide 63848 by 110.\nAnswer: 31924\/55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = d**3 - 23*d**2 + 76*d + 177. Does 4 divide q(30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2 = 4*z, -2*m - z + 1 = -2. Factor 2\/7*a**3 + 0*a + 0 + 2\/7*a**m.\nAnswer: 2*a**2*(a + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -339, 544, 2949, 7638, 15373, 26916?\nAnswer: 43029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.12755 to 1 decimal place.\nAnswer: -4.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 3*d + 12. Let r be a(-4). Suppose 0 = -5*b - 2*s + 10, r = b + 3*s - s - 10. Solve 4 = -2*m + 2*p, b = 4*m + 5*p - 3 - 7 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) be the third derivative of -m**3\/6 - 3*m**2. Let b(p) = 2*p**2 - 2. Let w(d) = b(d) - 2*k(d). Let r(t) = 16*t**2 + 334 - 334. Determine w(r(y)).\nAnswer: 512*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-6578)\/(-55) - (-2)\/5. Suppose 115*j - n*j + 50 = 0. Calculate the lowest common multiple of j and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 5 = m, 3*m + 1 = -2*v + 3. Let d be (16\/100)\/((-2)\/5). Suppose 0 = 2*p + 3*p + 5. What is the closest to p in d, 2\/5, v?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -12 - -26. Let z = 1 - 4. What is the remainder when 0 + z\/3 + 26 is divided by k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*i**5 - 19610*i**4 + 3*i**3 + 2*i**2 + 39*i - 28951.\nAnswer: 120*i**2 - 470640*i + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 32*z**3 + 60*z**2 - 8*z = 0. Calculate z.\nAnswer: -2, 0, 1\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*s + 0 + 0 + 7*s - 1 to the form i + f*s and give i.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4430 - 4397. What is the remainder when 92 is divided by l?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = 15*n**2 - 106*n + 4. Calculate t(7).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -34332545 divided by 8255?\nAnswer: -4159","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 6*d**2 + 2*d + 6. Calculate a(5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 14551325 - 4?\nAnswer: 14551321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 10*b - 5. Let a be c(3). Suppose 4*p = 2*n - 10, -4*p - a = -n + 4*n. Let m(t) = -35*t + 3. List the prime factors of m(n).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j**3 - 2*j**2 - 3*j + 2. Let z be m(2). Let b(f) = -3*f - 2*f + 1 - z. What is the units digit of b(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5691 and 1232.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -1 divided by -399735\nAnswer: 1\/399735","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3940016 = -h + 2*x + 2*x, 3*h + x = -11819996. Round h to the nearest one hundred thousand.\nAnswer: -3900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z\/(z\/(z*(z\/z**(2\/27))\/z))*z)\/z**(-23)*(z\/z**(-1\/23))\/(z*z\/(z**(4\/7)\/z)*z))**(-10\/3) assuming z is positive.\nAnswer: z**(-1023320\/13041)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 + -1. Suppose o = 3*x - 4, 0 = 2*u + 2*x - 50. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 124952 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n + 2 + 2 = -2*d, 2*n + 5*d = 25. Let r = -23 + 28. Let i be (-1 + -10)*(2 - r). Solve q = 4*s - 0*s + 11, -n*q - i = 2*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by 389.\nAnswer: 20\/389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*m - 19134279 = 65680260. Let n = -8371513 + m. What is n rounded to the nearest one million?\nAnswer: 20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2691083855 a multiple of 379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a**12*a\/(a\/((a\/a**(-9)*a)\/a)) assuming a is positive.\nAnswer: a**22","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/3 - (92\/(-12) - (-3 - 6)). Is v at least as big as 2\/3079?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 times -30871263?\nAnswer: -12348505.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 6897 from 0.5.\nAnswer: -6896.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -3, 1, -0.5, 2\/545, -0.1.\nAnswer: -5, -3, -0.5, -0.1, 2\/545, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1 - 1. Let h(n) = -n**2 - 23*n - 28. Let m be h(-22). Let t(k) = -50*k - 297. Let z be t(m). Solve p = -z*c - 2*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000111101011 (base 3) to base 15.\nAnswer: aa547","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are -1 and -2\/1085962885 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 212676*d + 7 + 4 - 285821*d.\nAnswer: -498497*d + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x\/(x\/(x**(9\/2)*x*x*x))*x\/(x**9*x))**(-3\/13))**(2\/3) assuming x is positive.\nAnswer: x**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*f**2\/4 + 495*f.\nAnswer: 3*f*(f + 660)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-27)\/12)\/(328\/(-8692) + 1598\/212).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from vvtvvdvvtvttd?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (5 - (2 + -7)) + -28 + 17?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12\/12)\/((-2)\/(-2)))\/(3\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 2284.4261 to the nearest 10.\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = 29*n. Let i(s) = 7*s. Let r(w) = -4*i(w) + z(w). Let q(f) = 77*f. Determine q(h) - 66*r(h).\nAnswer: 11*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -2, -2\/3, 27\/7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.03822 + 3408611589.\nAnswer: 3408611589.03822","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -5 - -7. Suppose t = -3*i + 4*o, 0 = -0*i + i - o. Let k(f) = f**3 + 12*f**2 - f - 8. Let m be k(-12). Solve -m*u + i = 6 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8232.19 - -8262. Which is smaller: 0 or h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -40.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 13753*u**4\/7 + 41341*u**3\/7 + 41505*u**2\/7 + 13999*u\/7 + 82\/7.\nAnswer: (u + 1)**3*(13753*u + 82)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 569487.\nAnswer: 3, 19, 97, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -j**2 - 11*j + 16. Let r be l(-12). Suppose 2*k - 4*d + 2 = 6, -5*d - 18 = r*k. Let b be (k\/(-4))\/(3\/(-111600)). Round b to the nearest one thousand.\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j + 1. Let i be s(3). Let h = 70217 + -42026. Suppose -3*w - 65012 = 5*l, 5*w + 23829 = -i*l - h. Round l to the nearest ten thousand.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*d = 109 + 38. Let o(n) = -25*n + 190. Let f be o(d). Solve b = 6*b - f for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -17  (b) 5  (c) -7\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 44460 and 193082760?\nAnswer: 2340","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 57235727?\nAnswer: 71, 806137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 42.7+19\nAnswer: 61.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10210101011 + 11111100?\nAnswer: 10221212111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -7388 + 14732. Does 13 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/770 and -49\/4475?\nAnswer: 689150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*w + 4 + 6 = -5*q, -327*q = 3*w - 332*q - 22 for w.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -33 + 1. Let o = 9 - 41. Is h less than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2 + -14584700329.\nAnswer: -14584700331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1119, -1593, -2077, -2577, -3099, -3649?\nAnswer: -4233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gnpx when four letters picked without replacement from {n: 2, p: 2, g: 7, x: 8}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 20a (base 14) to base 10\nAnswer: 402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 - 2 - 4*i**2)*(4 - 3 + 0) + 278*i**2 + 5559*i - 5559*i in the form u*i + z*i**2 + q and give z.\nAnswer: 274","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 294896?\nAnswer: 2, 7, 2633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (10\/(180\/114))\/(3\/27). Let d = -854 + 1367. What is the greatest common divisor of g and d?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -9226.9?  (a) 2  (b) -3\/5  (c) -2\/3  (d) -2  (e) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 5*r - 83 = -2*m, -15 = -5*r. What is the units digit of m?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0 + 0. Suppose 2*h = 26 - 14. Suppose 0 = -x - 4*z + 13, 3*x - 5*z - h = -1. Solve -r + 0 + x = q for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 88*b = 95*b + 42 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -342*o + 814. What is the hundreds digit of r(-16)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 32*f**4 + 42*f**4 - 41*f**4 + f - f**4 + f**4 + f**4 + (-f**3 + 6*f**3 - 4*f**3)*(0 + 0 - f) + 3*f**4 + 0*f**4 - 5*f**4 - 2*f + 2*f + f**4.\nAnswer: 32*f**4 + f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*x - 13 + 13.\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from zexvipe. What is prob of picking 1 z and 1 v?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -46 - -26. Let g = 42 + b. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from qxqqxxxxxxxxqq. What is prob of sequence xqx?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((h*h\/h**(2\/23))\/h)\/h)\/h)\/h*h)\/h**(1\/5)*h**(-23)*h*h*h*h**(4\/21)\/h*h*h assuming h is positive.\nAnswer: h**(-48533\/2415)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*z**2 - 5*z**2 + 8*z**2 + 5*z**2.\nAnswer: z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.2 + 1. Let i be 2\/21 - (-266)\/294 - 50\/(-20). Which is the nearest to 1?  (a) m  (b) i  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 283*m - 49217 = -270*m for m.\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine l, given that 5*l**3 - 620*l**2 + 15745*l - 15130 = 0.\nAnswer: 1, 34, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 16675937.2415\nAnswer: -16675939.2415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 12 - ((7 - 11) + 8)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 320000 divided by 50.\nAnswer: 6400","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-6)\/(-2))\/((-10)\/8))\/((-4608)\/28800).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -560*s**2 + 273*s**2 + 43 + 282*s**2.\nAnswer: -5*s**2 + 43","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 705.6554 litres to millilitres.\nAnswer: 705655.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert -510 (base 8) to base 9.\nAnswer: -404","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-110)\/1650*-1*213 - 2\/10?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1022111201 (base 3) in base 5?\nAnswer: 1312020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 - ((-12 - -4) + (15 - 17) + -4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, -1\/9, -3, 5, -0.88 in decreasing order.\nAnswer: 5, -1\/9, -0.88, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 545201?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gja. Give prob of picking 1 a and 1 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 1421757*0.76\nAnswer: 1080535.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 - -8) + (0 + 2 - (-379 - -421)).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 35333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d\/(d*d**9))*d**15)\/((d**(-2\/25)*d)\/((d*(d*d\/(d\/d**(-38)*d))\/d)\/d)) assuming d is positive.\nAnswer: d**(-373\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qiqqmqiiiqiqq. What is prob of picking 2 i and 2 q?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -18, 4 in descending order.\nAnswer: 4, -5, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (38 + 1)\/(-3)*-14. Calculate the highest common factor of 28 and w.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -0*m - 12. Suppose -m*p = -8*p + 10. Suppose p*k - 28 = -5*l, -4*k + 20 + 50 = 3*l. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (18\/(-8))\/(51\/(-136)). Let s be (-24)\/(-9) + 2\/(-3). Is 675\/l + 1\/s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 767738 to the power of 1\/2, to the nearest integer?\nAnswer: 876","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 2*c - 104 = 0, 2 + 105 = -5*f - c. Suppose 2*r - 36 = 12. Let n = r + f. Let m(k) = 2*k - 3. Calculate m(n).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(45)*-1)\/sqrt(9) + -1*sqrt(45)\/sqrt(9).\nAnswer: -2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1.4083 + 1.3877. Is t > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = d**3 - 8*d**2 + 14*d + 7. Let r = 87 + -82. Let k be s(r). Let h(p) = 4*p**2 - p. Let t(b) = 3*b**2 + 3*b - 4*b - 1 - 2*b**2. What is k*t(v) - h(v)?\nAnswer: -2*v**2 - v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*s + 2*s - 3*s)*(148*s**2 - 37*s**2 - 112*s**2 + 3097) + 3*s**3 + 2*s - 2*s to the form z*s**2 + r + g*s**3 + l*s and give g.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 270*o = 385*o - 575. Solve 2*j - o = -x, -5*j - 3*x = -3 - 9 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2 = -2*x - 21, -2*x = 3*d - 85. Is 27 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -29*x**2 - 3007*x + 45143. What is j(-117)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) be the second derivative of -x**3\/6 - 12*x. Let h(d) = 4*d + 1 - 1. What is h(s(f))?\nAnswer: -4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 2 + 1)*(9*u - 2*u - 9*u) - 6*u + 5*u + 21*u - 7*u - 11*u + 5*u.\nAnswer: 5*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 9*w - 6*w - 28 = 0, -5*w + 20 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 201*b**2 - 6339*b + 6339*b - 179*b**2 + 2*b**3.\nAnswer: 2*b**3 + 22*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Put -5\/6, 9, -1.2 in increasing order.\nAnswer: -1.2, -5\/6, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 599 minutes after 3:21 PM?\nAnswer: 1:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 + 4 = -o. Let m(c) = 12*c + 4*c - 19 - o*c + c**2. Calculate the remainder when m(-14) is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 228758 is divided by 25406.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 92337.64 to the nearest one hundred thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 22.82 + -23. Let u = k + 0.08. Which is greater: u or -1\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -31 + 65\/2. What is the closest to 1\/2 in -3, -4\/9, c?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*y - 5, -19 + 45 = -3*f + y for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 290 a factor of 1883077300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -10691*y**2 + 5366*y**2 + 0*y + 0*y + 5343*y**2. Let v(x) be the second derivative of x**3\/3 + 2*x. Calculate v(m(g)).\nAnswer: 36*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.1 and -0.05737.\nAnswer: -2.15737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Add together 832 and -76.3660284.\nAnswer: 755.6339716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the second derivative of -t**5\/80 - t**4\/48 + 5*t**3\/12 - t**2 + 952*t. Determine i, given that w(i) = 0.\nAnswer: -4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22648 + 68550 - 12*d**3 - 23250 - 22652.\nAnswer: -12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r = 3*r - 6. Suppose r*z + 6 = 4*z. Find the second derivative of -4*h**3 + 4*h**3 - z*h + 0*h - 2*h**3 wrt h.\nAnswer: -12*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2245846*j**4 + 644956.\nAnswer: -8983384*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -17\/16 + 195\/176. Calculate the common denominator of p and -11\/2198.\nAnswer: 24178","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 2*w**2 + 3*w**2 - 2*w - 3*w**2 - 10. Suppose -3*r + 3*n - n + 46 = 0, -3*r + 3*n + 51 = 0. Calculate the least common multiple of t(5) and r.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the first derivative of -5\/6*v**3 + 0*v + 4 - 5\/4*v**2. Factor z(u).\nAnswer: -5*u*(u + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1652010676?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 391 + -399. What is the second smallest value in 0.05, 14\/9, r?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -a**2 + 5*a + 2. Suppose 0 = -2*t - 2*v + 6, 0*t + 3*t = -5*v + 5. Let y be j(t). Suppose -11 + y = -3*b. Is b a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78 = 5*m + 3*w, -2*m + w - 86 = -7*m. Solve 0 = 3*x + 4*l + 15, -5*x - m = -5*l + 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - -1)*(4 - 3) + 6?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -s**3 + s**2 - s + 1. Let w(i) = 7*i**4 - 6*i**3 + 6*i**2 + 20*i + 6. Let t(z) = -6*p(z) + w(z). Find the second derivative of t(r) wrt r.\nAnswer: 84*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 315 and 45.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -d3 (base 16) in base 8?\nAnswer: -323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -3*x - 9. Let z(k) = k**3 - 2*k**2 + k. Let t be z(1). Suppose a + l - 1 = 0, -a + l = -t*l + 9. What is the smallest common multiple of 10 and v(a)?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 16910030 rounded to the nearest ten thousand?\nAnswer: 16910000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 - 1)\/(-1) - 5. Let x be (15\/3)\/(d - -2). What is the second smallest value in 2, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -29 + 60 - 199 - 120 + 2*c in the form n*c + z and give z.\nAnswer: -288","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = d**2 + 10*d + 12. Let r be m(-9). Suppose 39 = 4*w - r*x, 4*w - 2*x - 38 = -4. What are the prime factors of (w\/4)\/((-3)\/(-62))?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 493 = 87. Let y be m\/(-8) + 3\/(-6). Is (-6)\/21 - (-102)\/y a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97084199437 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 2553900857 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12?  (a) 10  (b) 3\/113  (c) -4  (d) 0.4  (e) 193  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -102, -12, -5, -7 in decreasing order.\nAnswer: -5, -7, -12, -102","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 17548495 by -5.\nAnswer: -3509699","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 3  (b) 1\/3  (c) 71  (d) -1\/2550\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 11*p**2 - p - 2. Calculate f(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 5970, 24471, 55458, 98931, 154890, 223335?\n\"Answer: 6243*w**2 - 228*w - 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 196\/13 or -9441?\nAnswer: -9441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 12 - 4 = 0. Let s = 7 + -4. Suppose -4*q + 1 = r*n - q, s = -n - 4*q. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -271 - -269. Put v, 5\/2, 0.3, 5 in descending order.\nAnswer: 5, 5\/2, 0.3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 273649\/9*((-15)\/(-18) + -1). Let h = -5068 - a. Calculate the common denominator of h and 133\/90.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v*v*v*v**(-3)*v)\/v*v**(-1\/2)\/v)\/(v\/(v*v**(2\/3)*v*v*v))**13)\/(v**(1\/5)*v**(-3)*(v**(-1\/4)\/v*v)**(-31)) assuming v is positive.\nAnswer: v**(2473\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Express 476 - 85326*x**2 - 3*x + 85330*x**2 + 2*x + 164 in the form i*x + d*x**2 + y and give y.\nAnswer: 640","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 15) to base 10\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 28121026 to the power of 1\/2, to the nearest integer?\nAnswer: 5303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-96))\/(((-2)\/14)\/(162\/63)).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 8456*a**3*w + 4899*a**3 with respect to w.\nAnswer: 8456*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = -11*j**2 + 3*j - 21. Let b be h(3). Let u = b - -122. Suppose 0 = o - 5*z - 31, 0 = 3*o - 2*z + u - 39. Is 5 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 AM and 12:38 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -9, 5, 2, -2, 172, 15 in descending order.\nAnswer: 172, 15, 5, 2, -2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1)\/1)\/(-2)*-4. Let k(f) = 3*f**2 + 2*f + 7. Let i(m) = -1. Let s(v) = 6*i(v) + k(v). Let y be s(j). Solve 0 = -2*h - h + y for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -10*f - 25 - 212 - 93 + 5*f + 3*f in the form d*f + r and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/325911 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 77.74 and -17.315?\nAnswer: 95.055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 28379100?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -21*f**2 - 1570*f. Let k(x) = 50*x**2 + 3928*x. Give 5*k(j) + 12*v(j).\nAnswer: -2*j**2 + 800*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 - 4*z + 12. Let d be k(-7). Let c = -7 - d. Suppose -48 = -c*q - q. What is the greatest common divisor of 8 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -5 + 5. Suppose -w + 6*w - 85 = s. Let i = w + -5. What is the greatest common factor of 24 and i?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bs when two letters picked without replacement from bsbsbbsbbbssbbbb.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 103, 215, 327, 439?\nAnswer: 551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 823 and 2174151197.\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 7982 + 541?\nAnswer: 8523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 181908.3 rounded to the nearest ten thousand?\nAnswer: 180000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 198048 and 450.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 42864 a multiple of 57?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:23 AM and 7:56 AM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 43146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-5)*(-5 - (-45)\/6). What is the third derivative of 0*h**5 + 4*h - v*h**2 - 6*h**4 - 5*h**5 + 0*h wrt h?\nAnswer: -300*h**2 - 144*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13315.\nAnswer: 5, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 11:12 PM?\nAnswer: 207","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of -595 and 0.04.\nAnswer: -594.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 2*h = 27. Let f = h - -6. Suppose -19 = -q - 4*m - m, -2*q + 4*m = -108. Calculate the remainder when q is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (5 - 2) + (7 - 5) + 1 + 4?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -9\/22 and 47\/220?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 59 - 37 - (1 - -12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c = -8 - 0. Suppose -2*u - 2*u - 2*w = -14, -c*u = 5*w + 5. Suppose u*r - 24 + 4 = 0. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in -284, 0, -0.5, -1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c110 - 3?\nAnswer: -c113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b + 94 = 18*a, 4*b + 781*a = 780*a + 9 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5 + 8. Suppose b*i - 6*i + 33 = 0. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 30*g - 25*g - 14105. Let f be g + 3 + -4 + 0. What is f rounded to the nearest 100?\nAnswer: 2800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 5*v + 19. What is u(-9)?\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hpp when three letters picked without replacement from hphihdhhhhip?\nAnswer: 7\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 11*x - 19 - 2*x + 19 as c + y*x and give y.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1024951?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 661, 2749, 6229, 11101?\n\"Answer: 696*i**2 - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 139, -207, -559, -917, -1281?\n\"Answer: -3*p**2 - 337*p + 479","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10573*-0.4.\nAnswer: -4229.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2 - -4. Suppose 4*w - 79 = 21. Suppose 5*x + w = 45. Put 1, x, m in decreasing order.\nAnswer: x, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ivivvvi.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*a + 873780 - 302822 = 0. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 4*l - 54 - 26 = 0, 5*z - 5*l = 125. What is the smallest common multiple of z and 2\/(-5) - (-1944)\/60?\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 - 5*c + 6.\nAnswer: (c - 3)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 5 - 3)*(o - o + o)*(7*o + 20 - 20) + o**2 - 3*o**2 + 8*o**2)*(3*o - 3*o + 3*o**2).\nAnswer: -3*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1604149 - -1604149.41000074. Let y = 0.41 - s. Round y to 7 dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + 10 + (14 - 10).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -11.9 + 12. Let y = -12 + 12. Which is the closest to k?  (a) -1  (b) -0.07  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -d*g*w**2 - 22*d*g - 115*d*w + d - 2*w**2 wrt g.\nAnswer: -d*w**2 - 22*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((p\/(p**4\/p))\/p)**(23\/4))**(-3\/29)*((p*p**9*p*p)\/p**0)\/(p**(-4\/3)\/p**(-3\/5)) assuming p is positive.\nAnswer: p**(25261\/1740)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-10 - (-1 + -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6.09 + -393.91. Let x = 399.9 + d. What is the closest to 0 in -3, x, -5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 155 minutes after 12:24 AM?\nAnswer: 2:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = h**2 + 9*h - 7. Let q be x(-10). Determine c so that -4\/7*c + 2\/7*c**2 + 4\/7*c**q + 0 - 2\/7*c**4 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*l + 9628 = -329*l for l.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 125877 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {o: 6, u: 4}. What is prob of sequence oouo?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 3\/7 of a week?\nAnswer: 72","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*z - 5*d = 42, -248*z + 252*z + 32 + 104 = -12*d for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = -8*h + 4. Solve -h*g - 3 = -7*g for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, -0.1, 3, 924, -4, -6 in descending order.\nAnswer: 924, 3, -0.1, -0.3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (24 - 24)\/(-2 - -1). Solve 5*o + 3*i - 13 = b, -22 = -o + 2*i - 9 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*u - u - 25. List the prime factors of u.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 34 - 40. Let r(y) = -y**2 - 6*y - 5. Determine r(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23365940.\nAnswer: 2, 5, 13, 31, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = k**3 + 4*k**2 - 4*k + 3. What is the tens digit of l(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find u such that 16*u**5 + 188*u**4 - 6756*u**3 - 21592*u**2 - 560*u + 28704 = 0.\nAnswer: -26, -2, 1, 69\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2734 + i - 2734 - 33*i to v*i + p and give v.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 40 + -43. Let a = 1 + 3. Suppose 0 = -a*m + 2*h + 6, -9 = -m + 4*h + 10. What is the biggest value in b, m, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*z = 12*z + 25*z - 1380. Which is smaller: -23 or z?\nAnswer: -23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 241516, 11, 6 in decreasing order.\nAnswer: 241516, 11, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -101\/602 and 18\/195559.\nAnswer: 16818074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 4  (b) 325  (c) 13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*g + 25 = -5*t, -34*t + 5 = -5*g - 35*t for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.4, 56, 1, 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d**2 - 6*d - 19. What is c(8)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = k - 1. Suppose -2*s + r = -4, 10 = 4*s + s - 2*r. Let d(b) = -2 + 7 + 0 - s*b. Let u = -34 + 35. Determine u*d(q) + 3*g(q).\nAnswer: q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 23604 (base 12) to base 15\nAnswer: e134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = x + 9, 2*y = -4*x - 0*y - 22. Let v = -5 - x. Suppose -u = -v - 2. Solve -5*i = -u + 17 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b + 85*b**4 - 3*b**3 + 2*b**2 - 2 - 195*b**4 + 106*b**4 to the form g*b**4 + d*b**2 + h*b + j + z*b**3 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: What is 445 minutes after 9:42 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 14\/(-70)*-70 - 10. Solve 3*g - u*f - 2 = 22, -6*g + 5*f = -30 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 23 - 6*m**2 - 21 - m**2 + 11*m - m**2 + m**3. Let a be k(6). Let w(z) = -8*z - 6. Let u be w(a). Which is greater: u or 0.1?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {a: 2, n: 3, e: 5, s: 2}. What is prob of picking 3 e?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 2 - ((8 - 38) + 14 - -1)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jooj when four letters picked without replacement from nnwwtwwwnwoojwwqj.\nAnswer: 1\/14280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bbbbbqqqbbbbbq. What is prob of picking 1 q and 1 b?\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 89\/95 - 14\/19. Which is the nearest to h?  (a) 5  (b) -1\/11  (c) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -23 + 23 + (2 - -3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 285870 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2*10\/((-2400)\/72).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -l**2 - 4*l + 3. Let t be h(7). Let f = t + 41. Is (-176)\/f + 2\/3 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 0, p - n = -6*n + 1. Let u(q) = 8*q**2 + 2*q - 1. Let a be u(p). Is a > 9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 254.548l to millilitres.\nAnswer: 254548","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3.95 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Do -467 and -8\/3 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u**(-5)*u**(-1\/4)*(u*u**2*u)\/(u*(u*u**(-3\/4))\/u) assuming u is positive.\nAnswer: u**(-3\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 + 4*z - 4. Let l be w(-4). What are the prime factors of (6\/4)\/(l\/(-24))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + y - 1)*(0 + 0 + 2 + (3 - 5 + 0)*(6 + 0 - 3))*(-12*y**3 + 0*y**3 - 6*y**3).\nAnswer: 72*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 4 + 1. Calculate the common denominator of 715\/20*(-2)\/b and 15\/8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2052 divided by 1026?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (105\/140)\/(3\/8).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2905 or 5927?\nAnswer: -2905","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*t = 15*t - 35. Let j = t - 16. What is the remainder when 37 is divided by j?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 244 = 10*y + 274 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mmf when three letters picked without replacement from mfiaaamffaamf?\nAnswer: 2\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282972 is divided by 175?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 35058*h - 35058*h + 1 - 1 + 4*h**3.\nAnswer: 4*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 111839191?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 204.067 rounded to one dp?\nAnswer: 204.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -2*w**2 + 76*w + 16. Calculate the least common multiple of 34 and x(35).\nAnswer: 3842","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2 + -400516?\nAnswer: -400520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1 + 12. Suppose 3*r + 7 = -2, 0 = -y - 4*r - n. Is y <= 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (272\/20)\/(3*(-2)\/(-15)). Suppose -t*i = -36*i + 136. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -3*y - 789. Let w(j) = 17*j. What is a(w(d))?\nAnswer: -51*d - 789","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from zzmmzzzim?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 37 + -56. Let h = o - -23. Let i be (4 - 22\/h)*-16. Solve 3*j - n + 18 = 0, -i = 3*j + 2*n - 5*n for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 887\/(-4435)*165\/(-9)?\nAnswer: 11\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 74 and 2941807?\nAnswer: 2941733","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 16702 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*h = -29*h + 5, 0 = -m + 4*h + 88. Suppose 0 = -3*c + 2*j + 3*j + 103, 27 = c + 2*j. What is the remainder when m is divided by c?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*p = 3*x + 11*p, -20 = -x + 5*p for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x + 41 = 3*v, 9*v + 1 = -x + 4*v. Is ((-6)\/(-8))\/((-4)\/x) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 16920000 to the nearest 1000000.\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.8 in -35, 2\/17, 0.1, -3\/20, -1\/8?\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 215919.4132 rounded to the nearest 10000?\nAnswer: 220000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -5, -0.033647 in ascending order.\nAnswer: -7, -5, -0.033647","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**1\/g*g*g\/((g*g**(-7))\/g))\/(g*(g**2\/g)\/g*g\/(g\/(g*g**(1\/3)))))**(4\/25) assuming g is positive.\nAnswer: g**(16\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q + 69*x - 66*x - 93 = 0, 4*q = -2*x + 118. Sort -5, -4, q, -9 in decreasing order.\nAnswer: q, -4, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -171, -822, -2581, -6000, -11631, -20026, -31737, -47316?\nAnswer: -67315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 1218012, -5, 1 in increasing order.\nAnswer: -5, 1, 7, 1218012","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of 20*c**3\/3 - 41*c**2\/2 - 75*c. Let h be f(1). What is the smallest value in -3\/2, -1\/9, -0.1, h?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = -2*p. Suppose 0 = -20*n + 24 + 16. Let w(b) = 9*b**2 + 2 + 40*b**2 - 262*b**n. Determine w(t(x)).\nAnswer: -852*x**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is fourty-five halves of a gram in milligrams?\nAnswer: 22500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-8)\/(15\/(4095\/(-6))). Let j = 366 - q. Let s(x) = 2*x**3 + 2*x - 3. Let l(a) = -a**2 + a. Determine j*l(m) - s(m).\nAnswer: -2*m**3 - 2*m**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37430 and 390454.\nAnswer: 394","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4\/9, -5, -80, -2\/7, 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 0.8835522m?\nAnswer: 883552.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 11944799*s**4 - 21832385*s**2 wrt s.\nAnswer: 286675176*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:56 PM and 2:46 AM?\nAnswer: 530","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**19\/(t*(t*t**9)\/t) assuming t is positive.\nAnswer: t**9","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-21)\/14)\/(18\/6))\/((-1)\/28).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4 in 59, -6, -2, 0.2, -1\/6?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30*j - 147*j**3 - 24*j - 118*j**3 + 10*j + 260*j**3.\nAnswer: -5*j**3 - 44*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -68 + -288661?\nAnswer: -288729","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 3  (b) -0.63  (c) -1\/2  (d) -4  (e) -0.3  (f) -3  (g) -8446\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) + -1*(sqrt(1584) - (sqrt(1584)*-2 + sqrt(1584))) - 5*1*sqrt(55)\/sqrt(5))**2.\nAnswer: 3179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-224)\/(-84))\/(8\/24).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -259*r**4 + r**3 + 5558*r**2 - r + 1. Let s(v) = 2*v**4 + v**2 + v - 1. Let t(i) = -s(i) - z(i). What is the third derivative of t(p) wrt p?\nAnswer: 6168*p - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 127378342 is divided by 2404?\nAnswer: 2402","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(190) - sqrt(190)*-2*-3)\/(sqrt(40) - sqrt(360)) + -2*(-2 + (0 + sqrt(76) - (sqrt(931) + sqrt(931) + (-1 + sqrt(931) - sqrt(931))**2))).\nAnswer: 6 + 29*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -27265 divided by -8\nAnswer: 27265\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.0249 - 0.1249. Which is the nearest to -0.51?  (a) -1\/5  (b) -4\/3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1 + 3d?\nAnswer: 3c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) be the first derivative of 980*x + 5\/3*x**3 - 72 + 70*x**2. Let a(m) = 0. What is m?\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 7*z**2 - 3*z + 4. What is o(-7)?\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is (490\/50)\/(-7) - (16\/10 + -2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -12*z**2 - 33*z + 196. Calculate y(5).\nAnswer: -269","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -20 + 2001103?\nAnswer: 2001023","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/(-4)*(11808\/2255)\/96.\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*l**4 - 811405*l**2 - 155*l + 5981.\nAnswer: -60*l**2 - 1622810","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/8 + (-77)\/(-144144)*-54?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*s + 0*s + 5*s - 2 + 2 + s + (1 - 2 - 1)*(0*s - s - s) + 4243*s + 1675*s - 2682*s + 3486*s to the form b*s + c and give b.\nAnswer: 6728","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 6, i: 5, f: 5, u: 4}. What is prob of picking 1 h and 1 u?\nAnswer: 12\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f - 9*f = g - 124, -2*f + 84 = 5*g + 4 for f.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1348?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 55\/4 of a kilogram in grams?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.21991 rounded to 1 dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -278 take away 0.5?\nAnswer: -278.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -176*f**2 - f - 6*f + 7*f.\nAnswer: -176*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 - 2 + w)*(-3 + 3 + 1)*(-4 + 0 + 2)*(5 - 5 - w**2 - 19).\nAnswer: 2*w**3 + 38*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2192, -24, -0.04 in increasing order.\nAnswer: -24, -0.04, 2192","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -2*y - 9. Let t be (4 - 21\/9)\/((-4)\/12). Give w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-r**2 + 3*r - 3*r)*(1 - 5 + 0)*(-2 + 5 - 7) as c*r + s*r**2 + f and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2759369*t + 24608162 wrt t?\nAnswer: 2759369","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 - 7 + 2)*(6*o - 7*o - 8*o)*(-3*o - 2*o + 2*o) in the form p + v*o**2 + r*o and give v.\nAnswer: -135","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 2*i - 12, -5*t = -0*t + 3*i - 13. Differentiate 9*a - t*a + 8 + 5*a - a with respect to a.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 5, 0, -6, -1843, 3 in descending order.\nAnswer: 5, 3, 0, -2, -6, -1843","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 11 = 4*s - 8, -3*s - 2 = 4*q. Suppose 0 = -s*i - 11*i + 663. Calculate the remainder when 63 is divided by i.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mddddddddttddmddtd. Give prob of picking 2 d and 1 m.\nAnswer: 13\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 136 divided by -34.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/6, 0.2, -0.4, 1, 120, -0.5 in descending order.\nAnswer: 120, 1, 0.2, -1\/6, -0.4, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9690714.\nAnswer: 2, 3, 11, 17, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 108 = -4*n, -3*l - 3*n + 24 = -3. Suppose -4*p - 12 + 24 = 0. Solve -2*k - 11 = -5*c, 5*c - p*k - 2 - l = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4\/(-6)*(5 + -1 - 1). Let j be (-17 - -7)*2\/8*p. Solve 9 = -j*m - 3*z, 2*m + 4*z - 3 = -1 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -4*f**3 + f**2 - f - 5. Let j(x) = 9*x**3 - x**2 - x + 11. Let r(c) = 5*j(c) + 11*p(c). Factor r(o).\nAnswer: o*(o - 2)*(o + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1 + 0)\/(1\/(-2)). Let u(f) = -f - 2. Let l(b) = -b - 1. Let n(m) = -2*l(m) + u(m). Let s be n(6). Calculate the greatest common divisor of g and s.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -166393.26798484 + 166393.3. Let v = r + -0.032. What is v rounded to six dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + 46\/(-16) + 1. Let f = -0.04 - -0.1. Let w = -18\/211 + 656\/2743. Which is the smallest value?  (a) f  (b) w  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -116*b - 106*b = -225*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*x = 10*x - 1664. Let d = x + -497. Is d prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 182 + -1288. What is the tens digit of 6\/(-4)*g\/21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3975221613?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -3*h - 4. Give p(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = 23*x - 113*x - 7 + 79*x. Calculate i(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bfff when four letters picked without replacement from hfbbbbhbbhffh?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 0.944414s?\nAnswer: 944414000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 4*u**3 + 4*u**2 - 7*u - 4. Let y(w) = -7*w**3 - 7*w**2 + 13*w + 8. Let t(x) = 5*r(x) + 3*y(x). Factor t(o).\nAnswer: -(o - 2)*(o + 1)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -174.2 and 0.01533.\nAnswer: -2.670486","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -28?  (a) -0.1  (b) 3  (c) 4\/5  (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round 29523 to the nearest 10000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -6*q**3 + 13*q**2 - 13. Let g(k) = k**3 - 2*k**2 + 2. Suppose 7*t + 59 = 101. Determine t*n(r) + 39*g(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -450961 plus 5?\nAnswer: -450956","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -l - 4*a, -5*l = -a - 9. Solve 29 = -2*u - 5*v, -l*v + v - 9 = 2*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 4*k - 9. Suppose -4*w + w + 10 = 4*p, 9 = k*w + 5*p. Let r(t) = 14*t + 395. What is the smallest common multiple of w and r(-28)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9 or 2\/49?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -6693 (base 10) in base 5?\nAnswer: -203233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15290?\nAnswer: 2, 5, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(-9)*(-7)\/14.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 5 - 4. What are the prime factors of l*40\/6*3?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 + -11 + 13 - -5\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -28 - -46. What are the prime factors of i?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1693760750 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3.98 - -4.96. What is f rounded to one dp?\nAnswer: 8.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = b + 6*l - 24, -b + 2*l = 4. Let y = 3 - 2. What is the second biggest value in 0.5, b, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18 and 594.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 624043559?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5 = 2*h, 5 = -2*j + h + 1. Sort 2, 0, j, -4.\nAnswer: -4, j, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 o when three letters picked without replacement from kkkottktiitkk?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 3, o: 1, k: 4, b: 2, v: 1}. What is prob of picking 1 k, 2 v, and 1 b?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -7 in 0.1, 1, 160\/21, 0, 3\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 690 minutes after 7:38 PM?\nAnswer: 7:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (18 + -25 - -6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1043420 by -406.\nAnswer: -2570","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -8. Let p(m) = -m**3 - 7*m**2 + m + 9. Let n be p(q). Suppose n*s - 53 = s. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vnv when three letters picked without replacement from vmmnnmebnmbbmev?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lpg when three letters picked without replacement from {p: 1, n: 1, k: 1, g: 4, l: 2}.\nAnswer: 1\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i = -3*i + 288. Suppose -137 = 2*y + 3*m, 0*y - y - i = 5*m. Let h = 105 + y. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (2\/(-7))\/(9\/(-126)). Let a(n) = -8*n + 4. Let h(w) = -15*w + 7. What is y*h(u) - 7*a(u)?\nAnswer: -4*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -3*u**2 - 2*u**2 + 7*u**2. Let x(k) = 3*k**2 + 0 + 0. Give x(v(h)).\nAnswer: 12*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22\/63 + -265\/63. Suppose 0 = -3*d - 4*q - 122 - 33, 5*d + q = -230. What is the common denominator of d and z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) be the first derivative of 4*d**2 - 1. Let h(p) be the third derivative of 1\/12*p**4 + 4*p**2 + 0*p + 0*p**3 + 0. Give h(z(v)).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**3 - 57*s**2 + 56*s - 118. Give g(-58).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.1 - -0.4. Let j be (4 + -4)\/(1 - 2). Which is the closest to j?  (a) -0.2  (b) f  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1 (base 3) to base 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u + 2 = -2*u, 3*u + 13 = 5*v. Suppose 6 - v = 2*j. Calculate the remainder when 6 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 6\/(-72)*186\/(-4) and 90\/240*52\/18?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 498*m = s + 501*m, -4*m + 4 = 0. Put -22, -6, s, 4, -5 in descending order.\nAnswer: 4, s, -5, -6, -22","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2073*n + 101388. Calculate u(-49).\nAnswer: -189","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 PM and 5:53 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uiui when four letters picked without replacement from iuiuuuuuiui.\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 31 - 26. Let b = 12 - a. What is the first derivative of 4*d**2 - 6*d**2 - b*d**2 + 16 - 19 wrt d?\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3 - -2. Let t(b) = 11*b**2 - 1. Let w be t(p). Solve 0*l + w = 2*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 221 - 242.1. Let g = b - -21. What is the third smallest value in -0.2, g, -0.7?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*j - 3*j + 3*j)*(41 - 39 + 2*j + 91) to d*j + m + y*j**2 and give y.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 47893, 95721, 143549, 191377, 239205, 287033?\n\"Answer: 47828*q + 65","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 274200757 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/((n*((n*n\/n**(1\/6)*n)\/n)\/n)\/n*n))\/((n**(2\/3)\/n)\/n)*n*n*n*(n*n\/(n**(-3)*n)*n)\/n*n\/(n**4\/n) assuming n is positive.\nAnswer: n**(11\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -1.0487321 * -0.2\nAnswer: 0.20974642","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 18444, 36910, 55376, 73842, 92308?\nAnswer: 110774","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (1\/(-2))\/(((-407)\/66)\/(-37)). Sort c, -4, 88.\nAnswer: -4, c, 88","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5810 (base 9) to base 5.\nAnswer: 114202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 8) to base 10\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*d**2 + 2*d**2 + 14 + 0*d**2 as x + c*d**2 + y*d and give x.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 1835615717 to the power of 1\/3, to the nearest integer?\nAnswer: 1224","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(18\/(9\/1))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 351\/91 + -3 - (-499)\/(-574). What is the third smallest value in p, 0.3, 1, 3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (1279*r**3 - 1855748 + 1855748)*(-5*r + 0*r + 3*r) + (0 + 0 + 2)*(r**4 - r**4 - r**4) to l*r**3 + d + q*r**2 + g*r**4 + m*r and give g.\nAnswer: -2560","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1453182799?\nAnswer: 1453182799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**4 - 415523*d - 521732?\nAnswer: 8*d**3 - 415523","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3980\/(-500) + (-14)\/350. Suppose 5*q = 3 - 13. Sort s, q, 2 in ascending order.\nAnswer: s, q, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 91789758.6 to the nearest 100000.\nAnswer: 91800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.0436  (b) -4  (c) 2\/3  (d) 2  (e) -6\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((c**(1\/5))**(2\/3))**(1\/11))**(-1\/17))**(35\/2) assuming c is positive.\nAnswer: c**(-7\/561)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by -9966?\nAnswer: 1\/4983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1 - 3 - -1*38.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -640*y - 17881 - 4331 - 9148 for y.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 2 + -6 + 6 + -18 - -1.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from efxufffubub. Give prob of picking 2 b and 1 e.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 219200151 to the nearest integer?\nAnswer: 603","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 14 = 0, -61 = -19*g + 21*g + 5*m. Let f(p) = p - 29. What is f(g)?\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 23 + -14. Suppose 7*g = 10*g - n. Suppose 5*d = g*i + 5, 5*d + 5*i - 41 = d. What is the highest common divisor of 20 and d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(28) + (-3 + sqrt(35)\/sqrt(5))**2 + ((1 + sqrt(7))**2 + 2 + sqrt(7) + sqrt(28) + 0)*-3.\nAnswer: -19*sqrt(7) - 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 351978?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of 15*y**4\/8 + 2579*y**2. Let h(c) = 2*c - 2*c + c. Calculate b(h(l)).\nAnswer: 45*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 1175827 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 3*j**3 - 13*j**2 + 20*j - 65. Determine u(4).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Do -7566 and -7169 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) be the second derivative of -306*y**3 + 2447*y**2\/2 - 50*y - 1. What is the first derivative of i(o) wrt o?\nAnswer: -1836","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((((l\/(l\/l**5))\/l*l)\/l)\/l**(-14))**(1\/3))**(1\/13))**(-23) assuming l is positive.\nAnswer: l**(-138\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one fifth of a kilometer?\nAnswer: 20000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -125*y + 2*y**3 + 125*y + 85.\nAnswer: 2*y**3 + 85","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -105439, -107726, -110011, -112294, -114575, -116854, -119131?\n\"Answer: x**2 - 2290*x - 103150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3 + 1\/4*u**5 + 1\/2*u**4 - 9\/2*u**2 + 0 - 9\/4*u.\nAnswer: u*(u - 3)*(u + 1)**2*(u + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**2 + n + 2. Let d be 0*30\/(-20)*2\/(-6). Determine w(d).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = 55*m**3 - 84*m**2 - 183*m + 344. Let n(i) = i**3 + 2*i + 1. Let l(a) = -b(a) + 6*n(a). Factor l(r).\nAnswer: -(r + 2)*(7*r - 13)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5038 + -5066.49. Round h to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-48136)\/10940 + 1228\/20?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-168)\/(-30))\/4 + (-2)\/5. Suppose -3*y + u + 764 = -u, -u = f. Let h = y - 175. List the prime factors of h.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.04 * -0.08.\nAnswer: 0.0032","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-66)\/(-33) - (2 - 0 - 2). Let z(u) = u**2 - 5*u - 1. Let r be z(5). Let m = -0.3 + 0.2. What is the closest to r in j, 4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 269232571 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Convert 78.7593 meters to kilometers.\nAnswer: 0.0787593","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 1870416 and 6976.\nAnswer: 815501376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(g) = -4*g + 10. What is s(6)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -r = -2*r. Let i be r*(0 + 1) + 9. Is 2421\/i*(2 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 13084.036 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1166 is divided by 31.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 89 + ((3 - 8) + 1 - 13 - -23).\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kmmgmmggm. What is prob of picking 2 m?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (0 - 298)\/(10 + (-1232)\/121)?\nAnswer: 11, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.28 - -410.28. Let m = u - 409.99999415. Round m to seven decimal places.\nAnswer: 0.0000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 895.6333 days?\nAnswer: 77382717120000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1488511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -a - 3. Calculate p(8).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 29 + -9. Suppose -7*k + 2*k + b = 0. What is the derivative of 0*m**4 + 2*m**k + 2*m**4 - 1 wrt m?\nAnswer: 16*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5b27 + -4?\nAnswer: 5b23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**2\/5 - 3*x\/5 + 2\/5 = 0 for x.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10020 = -67*i - 100*i. Calculate the smallest common multiple of 30 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) be the third derivative of 0*m + 0*m**4 + 0*m**3 + 0 - 20*m**2 - 1\/360*m**6 - 1\/180*m**5. Factor a(v).\nAnswer: -v**2*(v + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 2419*m**2 + 28*m + 59. List the prime factors of o(-3).\nAnswer: 2, 83, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 6264170 and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 8352829 a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c**3 + 852*c**2 - 5817*c = 0. Calculate c.\nAnswer: 0, 7, 277","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6192 is divided by 113?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 107\/18710 and -149\/414?\nAnswer: 3872970","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -112*q - 32 + 81 = 10*m - 113*q, -3*m - 5*q - 86 = 0 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 63*m**2 + 19*m - 7*m + 143 - 290 + 5*m + 155.\nAnswer: 63*m**2 + 17*m + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 541?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*-1*((sqrt(242) - (3 + sqrt(242)*3))*6*5 + 4))**2*6.\nAnswer: 10897920*sqrt(2) + 84345216","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 63 + -1 + -14 + (-6 - (-5 - -16)).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 335 + -331. Suppose 0 = -27*o + 26*o - 2, 2*b + t*o = 778. What are the prime factors of b?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 1)*(0 - 1 + 3)*(j**2 - 17*j**2 - 3*j**2) to the form s + g*j + o*j**2 and give o.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -0.6, 1 in decreasing order.\nAnswer: 1, 0, -0.6, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -16 - -23. Let p = 10 - q. Suppose -3*b - 8 = -g, 0 = 2*g - 0*g + 3*b - 16. Solve s - 4*s - 2 = -j, j = -p*s + g for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-4)\/3)\/((-26)\/117). Let p = 13 + b. What is the greatest common factor of 19 and p?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 2*j - 2)*(-1 + 1 - 5 + (1 - 2 + 3)*(1 - 4 + 2) + 2 - 4 + 3 + 2 - 1 - 3)*(8 + 11 - 3)*(0 + 0 + 3).\nAnswer: -768*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/(m*m**(-3\/11)))\/((m**(-1\/11)*m)\/m) assuming m is positive.\nAnswer: m**(4\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1655392?\nAnswer: 2, 17, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 189030 - 114930393\/608. Let c = 1\/608 + g. What is the closest to 0.1 in 4, 2.2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 289 a factor of 693311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2065037 is divided by 4057?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1128 and 1210203?\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 249947 is divided by 124950.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -112562524 - -112562522.11000338. Let u = 0.48 - -1.41. Let a = u + z. What is a rounded to six dps?\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = -1320*v - 4012. Calculate h(-3).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -5, 2\/7, 2, 3, -0.209?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = -y**3 + 2*y**2 + y + 1. Suppose -8*d = -16 - 8. Determine l(d).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 9141324 to the power of 1\/4, to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -3 + -415?\nAnswer: -421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) be the second derivative of l**7\/1260 + l**6\/540 - 2*l**3\/3 - 17*l. Let h(k) be the second derivative of y(k). Factor h(s).\nAnswer: 2*s**2*(s + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = 53*g - 10. Let v be y(6). Let o = v + -113. Is o a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 PM and 5:01 AM?\nAnswer: 672","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the third derivative of 0*l**3 - 3\/70*l**7 + 0*l**5 + 0*l + 1\/24*l**4 + 0 + 0*l**6 + 7*l**2. Find the second derivative of g(y) wrt y.\nAnswer: -108*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -553 + 451 + 8 + 9 + -9?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3.0387 - -0.0387. Suppose -h - 33 = -4*h. Let j be 2\/h*(5 - 4). Which is the second biggest value?  (a) j  (b) -0.3  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -5, -20, 0, -921, 2.\nAnswer: -921, -20, -5, 0, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18288 + -18319. Is -23 bigger than o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 5469135950 to the nearest one million.\nAnswer: 5469000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = 7*p - 52. Let y be b(11). Let t = 7 + -5. Differentiate y*a**2 - 25*a**t + 3 - 4*a**3 with respect to a.\nAnswer: -12*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -2*n, 5*x - 10*n = -6*n + 15. Let s be (6 - 1)*(x - 6). Suppose -b - 460 = -s*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12488699 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 7\/15 and 57\/119?\nAnswer: 1785","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -6.715 - -7.015. Suppose 4*i - 5*o - 4 = 3*i, 5*i + 1 = 4*o. What is the smallest value in -0.4, f, i, 0.4?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -43*x - 8. Is l(-9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uau when three letters picked without replacement from ausub.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3.97 + -0.03. Let l = -0.0051 - -4.9351. Let k = 0.07 + l. What is the third biggest value in k, 0.3, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w = -4*g + 9*g + 13, 0 = -5*w + 3*g - 121. Let a = w + 4216. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 524332 or 524306?\nAnswer: 524332","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 140\/63*((-7245)\/(-1225))\/69?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -168.8 + 169. Put 3, -1, 54, 1, p in ascending order.\nAnswer: -1, p, 1, 3, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 + 1 = b. Suppose 2*p + 4*g - 244 = 0, p - 114 = -5*g + b. Does 28 divide p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + sqrt(2))*-2 + (sqrt(22)\/(2*sqrt(11) + sqrt(11)))**2 - (sqrt(1800) + 2).\nAnswer: -32*sqrt(2) - 16\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -117\/2320 and -11\/50?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.5 in 0.4, -9\/4, -5?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-36)\/(-24)*(3*2 + 0). What is the units digit of 446\/6 + (-12)\/m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify x**(-1\/5)*x**14*(x*x\/x**(-3\/4)*x)\/(x**(-9)*x*x) assuming x is positive.\nAnswer: x**(491\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 192 take away -24.9?\nAnswer: 216.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-98*n**3 - 117*n**3 - 37*n**3)*(0*n + n + n).\nAnswer: -504*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of l**8\/33600 + l**7\/1400 + l**6\/240 + l**5\/30 - 2*l**3 + 56*l**2. Let i(z) be the third derivative of f(z). Factor i(s).\nAnswer: 3*(s + 1)*(s + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24*-11.2.\nAnswer: -268.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 4741*f - 4742*f + 0*f**3 + 4*f**3 - 12*f**2 + 7. Let l be r(3). Solve -k + 1 = -4*v + 14, l*k - 8 = -4*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) = -2*c - 7. Let a = -9 - -3. Let t be x(a). Suppose t*v - 5*k - 26 = 4*v, 0 = 2*v - 5*k - 27. Solve 0 = 4*l - 19 - v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 10*q + 4. Let b(f) = f**3 - 22*f**2 + 22*f - 23. Let z be b(21). Determine j(z).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 25\/3 - 2\/6. Suppose 3*w - u = w. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29 a factor of 1427?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = 3*g**2 - 8*g + 20. Let q(l) = -2*l**2 + 5*l - 13. Let j(s) = s + 5. Let k be j(3). Let c(y) = k*q(y) + 5*n(y). Calculate c(5).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -45358*a*y**3 - 7*a + 2*y**4 - y + 22 wrt y?\nAnswer: -272148*a*y + 24*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 28\/347 - -34431\/7634. Find the common denominator of 40\/7 and z.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81589 a multiple of 103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -50\/11 and (24\/20)\/((-21)\/(-60))?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 20\/6*((-735)\/14)\/(-7).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + 2 + -7 + 8 + -4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 44*h. Let m(p) = -5*p. Let r(y) = 52*m(y) + 6*n(y). Let j(z) = -26*z**2 - 1. What is j(r(b))?\nAnswer: -416*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 39 - 29. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -44, 3 in decreasing order.\nAnswer: 3, -3, -44","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 170 = 5*b, 2*t + t - 146 = b. Suppose -c = 4*c - t. Solve 0 = 2*y - c for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) -37  (c) 3165  (d) -0.0413\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -5*v**3 + 5*v**2 + 4*v - 6. Let a(s) = s**3 - s**2 - s + 1. Suppose 21*m - 17*m = 20, -5 = -5*z - 2*m. Determine z*f(w) - 4*a(w).\nAnswer: w**3 - w**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 - 2*j - 11. Give k(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.2 + 0.3. Let u = 0.0299 + 0.1801. Which is greater: u or x?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-4 + 125\/35)*1. Which is the closest to 2?  (a) -2\/3  (b) 0  (c) s  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 113330296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**4\/9 - 32*d**3\/9 + 104*d**2\/9 - 32*d\/3.\nAnswer: 2*d*(d - 12)*(d - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 558*k - 70304 = 2755*k for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 518*f - 5425802 = 10921323 + 5208927. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*f + 132 = -2994*y + 2992*y, 4*f + 49 = 3*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 5.1 - 5. What is the third smallest value in 2\/25, -3, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = -8*c - 8. Suppose -p = -c*p. Suppose -2*k - 4*l + 410 = p, 3*k - 361 = 4*l + 254. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 20 and -6094542.\nAnswer: -121890840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 249134*g + 1494843. What is p(-6)?\nAnswer: 39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:15 PM and 10:50 PM?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 times -83\nAnswer: 6.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, r: 1, q: 3, d: 4, y: 1}. Give prob of sequence sqyd.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 6181 to the power of 1\/5, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u + 4*u = 2*f - 7*f - 43, -5*u = 9*f - 26 + 103 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = h - 0*z - z - 3, 3*z + 12 = 0 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 85 and 3077?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -773, -610, -339, 40?\nAnswer: 527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -7*s + 4. What is the remainder when v(-12) is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3d323 (base 15) in base 8?\nAnswer: -577552","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -11*n**2 - 1252*n - 35459. Give o(-61).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2, -3, 5\/11, 40?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*g = -9*g - 9*g. Solve -n = o - 6*o + 5, -4*n - 2*o - 20 = g for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 + 1. Let j be h(1). Suppose m + j*m = 24. Suppose 3*u - 2*u - 22 = -2*f, -3*f - 23 = -2*u. What is the remainder when u is divided by m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 216, 449, 678, 891, 1076, 1221?\n\"Answer: -2*w**3 + 10*w**2 + 217*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = x**3 - 7*x**2 + 6*x + 2. Let p be v(6). Let i be ((-3)\/63)\/(p\/4). Is 1 > i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35831 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 3*n + 4*f + 64, 2*n - f + 26 = 0. Let c = n + 26. Does 4 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -6013, -5970, -5855, -5632, -5265, -4718?\n\"Answer: 6*b**3 + b - 6020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.0082 + -0.0082. What is the nearest to o in -4\/13, -1, 0.5, -4?\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a kilometer in centimeters?\nAnswer: 10000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8855643km in micrometers?\nAnswer: 885564300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -417 + 409 = 4*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the second derivative of -v**4\/4 - 3*v**3 - 18*v. Suppose t(g) = 0. What is g?\nAnswer: -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of ((-2)\/5 + 0)*(-2529 - -59)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 31\/114318 and -79\/144777396.\nAnswer: 1302996564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42*c + 219 = -3*a, 5 = 1021*c - 1020*c for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*g**3\/21 - 2566126*g**2\/21 - 823118915632*g\/21 + 4115658731560\/21 = 0 for g.\nAnswer: -641534, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:03 AM and 5:35 AM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1157 is divided by 192?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a gram in milligrams?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 0.12  (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x - 2 + 9. What is the remainder when x is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = -243*a**2 - 23*a + 20. Let q be -6*((-1)\/2 + -2). Let i be h(q). What is i rounded to the nearest 10000?\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -1368, -2750, -4136, -5526, -6920?\n\"Answer: -2*a**2 - 1376*a + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 599, 631, 653, 659, 643?\n\"Answer: -o**3 + o**2 + 36*o + 563","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32348 is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -z**2. Let g(w) be the second derivative of -1\/4*w**4 + 0 - 3\/2*w**3 + 26*w + 0*w**2. Determine t(g(o)).\nAnswer: -9*o**4 - 54*o**3 - 81*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - i = -36, 3*i + 5 = y - 17. Calculate the highest common factor of 1144 and y.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from nnsnrnnornrrononrr?\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 5*t - 2. Let g = -46 + 55. Suppose -g*j + 26 = 71. What is n(j)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1859*b - 2998*b - 59680 = 859*b + 203256 for b.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 97162?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-4)\/(-24)*-3*(-19 - 1). Suppose -3*m = 4 - t. Suppose r - 20 = -2*k, m*k + 7 = 2*r - 45. Calculate the highest common divisor of 3 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -78 (base 12) in base 11?\nAnswer: -84","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 + -4414298050?\nAnswer: -4414298040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 496 greater than 3482\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -57 + 10. Find the common denominator of (w\/4)\/(2\/8) and (-94)\/(-39)*(930\/100 + (-5 - 4)).\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -z**3 - 4*z**2 - 2*z - 6. Let h be m(-4). Let r = h + 0. Suppose -r*n - 88 = -4*n. Calculate the greatest common factor of n and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 12 + -40. List the prime factors of 5\/((1 - -1) + 49\/f).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((y**(1\/2))**(2\/21))**(-3\/35))**(-3\/11) assuming y is positive.\nAnswer: y**(3\/2695)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -119*l + 2220 = -116*l. Suppose -l = -2*s - w, 5 + 3 = -2*w. Is s a multiple of 62?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 44 - 70 = 0. Let t be q\/(-9) - 4\/6. Suppose -3*k + 87 = -t. What is the remainder when k is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**2 - 2515*y - 15126 = 0. What is y?\nAnswer: -6, 2521","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -241 divided by -6\nAnswer: 241\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) be the first derivative of -4*t**3\/3 - 355. Let x(c) = -20*c**2. What is x(j(w))?\nAnswer: -320*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) be the second derivative of a**4\/12 + a**2\/2 + 9*a. Let y(r) = -12*r**2 + 1. Let p(o) = 5*c(o) - y(o). Does 18 divide p(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-2)\/(-4))\/((-1)\/(-10)). Suppose -b + v = 3. Let o(j) = -j**2 + b*j**2 - 2*j**2. Let l(r) = r. Determine o(l(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-4 + (6*sqrt(275)*-2)**2*3*3 + 0).\nAnswer: 1069188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -7*c. Let q(j) = -5*j - 150. Calculate q(y(l)).\nAnswer: 35*l - 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 190 - -436. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1213843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sl when two letters picked without replacement from {e: 3, s: 1, j: 3, l: 5, a: 1}?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d\/(d**(-2)\/d)*d)**8*d**(-6)\/d**(-2\/7)*((d**(-2)\/d)**(-27))**(-46) assuming d is positive.\nAnswer: d**(-25842\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*d - 26*d**2 - 31*d**2 + 6*d - 27*d wrt d?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*2\/(-2) + 67\/(-1). Let d = j - -72. Suppose 11*n = d*n + 128. Calculate the remainder when 28 is divided by n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 3*w. Let o(x) = 16*x**2. Let q(u) = -5*u**2. Let h(a) = -2*o(a) - 7*q(a). Give z(h(d)).\nAnswer: 9*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 314 - -1?\nAnswer: 315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-59 + 0)\/((-4)\/(-1)) and (-157)\/(-24) - ((12 - 1) + -10).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (11 + -8 - (3 - 5)) - -12.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 1, i: 4, j: 3, e: 6, l: 1}. What is prob of sequence lw?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) be the second derivative of -37*t**4\/12 + t. Let d(x) be the second derivative of -5*x**3\/6 - 790*x - 1. Determine n(d(h)).\nAnswer: -925*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*sqrt(84)*-1 - (2*sqrt(84)*1 + sqrt(84)))\/(sqrt(72)\/(sqrt(864)*1)).\nAnswer: 12*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 t when two letters picked without replacement from {v: 5, n: 7, t: 1, k: 1, x: 2}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.3 + -4.3. Let x = -6 - k. Let s = 281 - 281. Which is the nearest to 0.1?  (a) 3  (b) x  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -1295137244 - -586416912. Let y = -708720396.0000102 - k. Let w = y + 64. What is w rounded to six decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -46*x**3 + 2*x**2 - 968*x wrt x?\nAnswer: -276*x + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 k when four letters picked without replacement from {u: 15, k: 4}?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 4*c - 12. Let l be ((-15)\/(-6))\/(2\/c). Suppose -l*n - 38 = -2*w, 0 + 13 = w - n. What is the remainder when 15 is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i - 14 = i. Let k = 53 + -79. Let c = i - k. Solve 4*n = -a - c, 6 = 3*a - a - 2*n for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve j**5 + 67*j**4 + 291*j**3 - 28679*j**2 + 133300*j - 155316 = 0.\nAnswer: -43, 2, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-8)\/(-36) - 212\/(-18). Let b be (12\/(-3))\/((-10)\/t). Factor b*g + 16\/5 + 2\/5*g**3 + 12\/5*g**2.\nAnswer: 2*(g + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70450181.\nAnswer: 61, 509, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 13341222 (base 6) to base 14\nAnswer: b9754","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -40*p**2 - 29851. Let s(y) = -47*y**2. What is b(s(n))?\nAnswer: -88360*n**4 - 29851","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -297617\/43130 + 2\/4313. Suppose 2*h = 3*g - 54, g + 2*h - 1 = 17. Calculate the common denominator of i and 3\/g*(1 - 108).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -5*s - 6. Let a be g(-2). Let k be -1 - -2*2*30\/a. Let r(z) = 28 + 2*z - k + 0*z. Determine r(-6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1688.6 - 1688.63. Which is greater: -32\/11 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) be the first derivative of -h**5\/40 + h**4\/24 - 133*h**3\/3 + 57. Let u(t) be the third derivative of b(t). Give u(3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1345?  (a) -3\/2  (b) 0.5  (c) 5\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 276 - 277 - ((-1)\/4 - 1).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round 376.62645 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*q - 4*w - 16, q = 4*w - 1392 + 1373 for q.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 79667 a multiple of 320?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 353*b**2*h + 159*b - 26108*h wrt b.\nAnswer: 706*b*h + 159","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 430692 and 228.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1463 - 655. Let v = h - 668. Is v a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5444042922?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 1737039225 to the power of 1\/2, to the nearest integer?\nAnswer: 41678","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-82)\/16 - (-27 + 20)\/56 - -2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 505\/13 - ((-6)\/39 + 0). What is the greatest common divisor of 78 and a?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 36797453 is divided by 238?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find i such that -2*i**4 - 22138*i**3 - 44170*i**2 + 1084762*i + 2169132 = 0.\nAnswer: -11067, -7, -2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 257*f - 4536 + 6849 for f.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -22 - (-24 + 61 + 14 + -35).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide (20056\/(-16))\/(-3 - (-5)\/2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*p**2 + 2640*p**3 - 2 + 1201248*p + 13*p**2 - 1201246*p to the form b*p**3 + m + g*p + y*p**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -d**2 + 2*d + 19. Let f be w(6). Put -0.3, f, 0.8 in decreasing order.\nAnswer: 0.8, -0.3, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9*g**2 - g**3 + g**2 + 4*g**2 + (-1 + 6 - 4)*(1 - g**3 - 1) - 3*g + 3*g - 4*g**3 to i*g + s*g**2 + f*g**3 + h and give f.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-132)\/440)\/((-6)\/10).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*n**2 + 41*n**2 - 42*n**2 - n**2.\nAnswer: -2*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1248688, 1248690, 1248690, 1248688, 1248684?\nAnswer: 1248678","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 6049 is divided by 217.\nAnswer: 190","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) be the third derivative of -u**8\/6720 - u**7\/504 - u**6\/240 - u**5\/40 + u**4\/3 + 5*u**2. Let b(m) be the second derivative of n(m). Calculate b(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -843 = 190*i - 4*i - 906 + 8433 for i.\nAnswer: -45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -458 divided by 87.\nAnswer: -458\/87","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14473946 divided by -24?\nAnswer: -7236973\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 5, o: 4, p: 8}. Give prob of sequence io.\nAnswer: 5\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -487606*c**5 + 12*c**4 - 48*c**2 + 126*c + 267 wrt c.\nAnswer: -29256360*c**2 + 288*c","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - n + 56 = 0, 45 + 12 = 3*p - 3*n. Suppose -3*g - 531 = -15*g + 3*g. Calculate the remainder when g is divided by p.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -0.6. Let l be (-3)\/(-9)*3\/4. Let d = -10\/27 + 28\/27. Which is the nearest to l?  (a) 5  (b) q  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -3097 - -3152. What is the remainder when 174 is divided by g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 106025 is divided by 671?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-5)\/2*(-12)\/(-6). Let t(w) = -w**2 - 5*w + 3. Let i be t(n). Let z = 11 - i. What is the smallest common multiple of 12 and z?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 960\/330 + (-3)\/(-33). Which is the nearest to -1?  (a) 2\/61  (b) 0  (c) 2\/9  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 56649 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((2\/5)\/(8\/10))\/((-80)\/32). Let h = 0.21 - -2.79. Put -2\/23, -5, k, h in decreasing order.\nAnswer: h, -2\/23, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*k**4 + k**6 - 9*k**2 + 3*k**4 + 11*k**6 wrt k?\nAnswer: 1440*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, -17, -77, -193, -383, -665, -1057, -1577?\nAnswer: -2243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -f - 21. Let a be (-1625)\/(-2275) + 9\/7. Let h(g) = g + 11. What is a*u(w) + 5*h(w)?\nAnswer: 3*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 405860\/(-25) + (-10)\/(-25). Is o at most as big as -16235?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/119 and 1\/272?\nAnswer: 1904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*s + 2 - 27. Let p(q) = -1 - q + s + 0*q. Suppose -n = 2*c - 5*c + 7, -c + 3*n - 3 = 0. Determine p(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 + 4. Let m = 77\/5 + -519\/35. Let i = 3\/2 - 7\/6. Sort i, m, a.\nAnswer: a, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the first derivative of q**6\/33 + 6*q**5\/55 - q**4\/2 - 2*q**3\/11 + 10*q**2\/11 - 841. Determine l so that n(l) = 0.\nAnswer: -5, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**1*l\/(l*l**(-4\/9))*l)\/(l**(-2)\/(l\/l**(5\/3))) assuming l is positive.\nAnswer: l**(34\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 48 - 49. Let i be (6\/(-12))\/(2 + g). Do -0.036 and i have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14911.6 + -14912. Sort b, -7, -4, -3\/4.\nAnswer: -7, -4, -3\/4, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**3 - 2*r**2 - 4*r + 3. Suppose -18 = -5*v + 2. Suppose -3*z = -v*j - 16, -z + 5*z = 5*j + 23. Let m be ((-2)\/(-16))\/((-1)\/(-2))*z. Determine n(m).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1123430202 (base 5) to base 2.\nAnswer: -1001110001010100010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = -2*t**2. Let o(n) = 4*n - 5. Let v(d) = -3*d + 4. Let u = 5 + 0. Let p(m) = u*v(m) + 4*o(m). Give p(w(f)).\nAnswer: -2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 2\/(-28)*-2*(15 + -13). Is 0.01 at most a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115679 is divided by 491?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-1)\/(-4*12\/528). Solve u - 9 = -f for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.0844 + -122546139.\nAnswer: -122546138.9156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*g + 11*g - 1141 = 0. Suppose 5*z - 538 = -g. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence woly when four letters picked without replacement from wwwywolww?\nAnswer: 1\/504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*j + 28*j = -13 - 67 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the first derivative of -3*r**2\/2 - 24*r - 2. Let m be y(-8). Suppose -5*n + 9*n - 3548 = m. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 324 + 11510?\nAnswer: 12134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(b) = 19 - 11*b - 33*b - 115 - 161. What are the prime factors of i(-22)?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 55651960?\nAnswer: 2, 5, 7, 13, 15289","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the first derivative of 0*u - 1\/4*u**4 + 3 - 1\/2*u**2 + 2\/3*u**3. Let o(d) = 0. What is d?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -5, -0.5, 0.84, -38270?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2292.4282 rounded to the nearest ten?\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106457150?\nAnswer: 2, 5, 131, 16253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 23*-0.026\nAnswer: -0.598","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j*j**5*j*j\/(j**(2\/23)\/j)*(j\/(j*(j*(j\/(j\/j**0)*j)\/j)\/j))**26 assuming j is positive.\nAnswer: j**(205\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-364)\/(-84)*4\/26. Factor m*q - 4\/15 + 2\/15*q**3 - 8\/15*q**2.\nAnswer: 2*(q - 2)*(q - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2*((-72)\/(-4))\/(-9)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 + -14. Let a(t) = 8*t + 4 + 2093*t**2 - 2*t - 4203*t**2 + 2*t + 2111*t**2. Calculate a(y).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 6301946967?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = q. Let r(u) = 97*u. Let s(f) = -289*f. Let c(l) = 17*r(l) + 6*s(l). Calculate p(c(j)).\nAnswer: -85*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**1*w)\/(w*w**(8\/5)))\/((((w*w\/(w*w**(-1)))\/w*w)\/w)\/w)**(3\/40) assuming w is positive.\nAnswer: w**(-8\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes after 11:21 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n + 6 = 3*n - 3*z, 5*z = -n - 10. Suppose -17*m + 10*m + 38479 = n. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3712 - -775050.49?\nAnswer: 771338.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7149743?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 8, 7\/4, 3, 44?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 85720216161 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 8) to base 6\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 48, 102, 158, 216?\n\"Answer: z**2 + 51*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 207*g - 76*g + 3*g**2 + 108*g + 198*g - 5*g**2 to the form j + s*g + t*g**2 and give s.\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*k**5 - 329*k**3 - 290*k**2 - 7?\nAnswer: 180*k**2 - 1974","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.042 plus -1010536101.2?\nAnswer: -1010536101.158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/4 in 0, -2, -38, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -46 + 51. Suppose 0 = -5*h + 5*m - 480015, n*h + 23476 = 3*m - 456533. What is h rounded to the nearest ten thousand?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + -24 - -15 - (38 - -2)?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 479 a factor of 100194346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -22173 or -864797\/39?\nAnswer: -22173","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the first derivative of -7*y**6\/6 + 148*y**3\/3 - 490. What is the third derivative of r(i) wrt i?\nAnswer: -420*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 81 and 33?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.68 - 0.8. Let y = m - -0.2. Let b = y + -0.0799941. Round b to 6 dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13 + (192 + -191 + (1 - -2) - 7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = -9*i**3 - 15*i**2 - 4*i + 7. Let m(j) = -5*j**3 - 8*j**2 - 2*j + 4. Let b(v) = 6*a(v) - 11*m(v). What is b(4)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 13789 = -33*f + 35*f, 0 = 4*s - 5*f - 18383. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 492822 and 1085337.\nAnswer: 1881","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -2 and 3574.\nAnswer: -7148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1378028.2 and -0.41?\nAnswer: -564991.562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 19, 12, -1, -20?\n\"Answer: -3*f**2 + 2*f + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -16 - -53. Let o(l) = -33*l - 185. What is the remainder when o(-11) is divided by b?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(363)\/(sqrt(176) + sqrt(11)) - ((-2*sqrt(1617) - sqrt(1617)) + sqrt(1617)))\/((-4*sqrt(704) + sqrt(704))*2 - sqrt(704)).\nAnswer: -5 - 71*sqrt(3)\/280","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4*r**3 + 30138*r**2 - 260*r - 310 wrt r.\nAnswer: -24*r + 60276","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9494279 is divided by 78465.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -138546*k**2 - 85855*k?\nAnswer: -277092","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = 3*b**2 + 15*b + 17. Let o be m(-4). Solve -o*a = -2*r + 10, -8 + 3 = -r - a for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -74 - -91. Let q = b + -55. Is (q\/(-6))\/(10\/120) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11.7643417 rounded to 1 dp?\nAnswer: 11.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 4*x + 8 = 0, -3 + 6 = x. Do -1\/3 and v have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = w**2 + 1. Let r(g) = -2*g**2 + 5*g - 5. Calculate -5*k(y) - r(y).\nAnswer: -3*y**2 - 5*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 5\/21682, -0.3, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*m + 8611 = 9521. Solve 0 = y - 2*l + m, l - 25 = y + 4*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((o + 3*o - 2*o)*(-1 - 2 + 4) + 6*o - 9 + 9)*(0 + 2 - 1).\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x - 49309135582 + 49309135582 - 8*x.\nAnswer: -3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -39*b + 41. Does 56 divide f(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 160993\/60 - 13469\/5. What is the common denominator of 67\/34 and h?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssscssscccposs. What is prob of sequence pso?\nAnswer: 3\/910","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*k - 3 + 3)*(-3*k + 4*k + k) - 17*k**2 + 2*k**2 - k**2 + 2*k**2 - k + k in the form u*k + i + y*k**2 and give y.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -619 - -2169. What is k rounded to the nearest one hundred?\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2532452652?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 80 and 469520?\nAnswer: 469520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11362?\nAnswer: 2, 13, 19, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4051140?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 105.1 and -154.\nAnswer: -48.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.6?  (a) 2  (b) -0.225  (c) -203  (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5324*l*m*s**2 + 2*l*s**2 - 3018*l*s - 2*s**2 wrt m?\nAnswer: 5324*l*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -19289594*a + 11764 + 2798 + 19284711*a wrt a?\nAnswer: -4883","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 8825*r + 11189?\nAnswer: 8825","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -15. Let w = -5 - -2. Let r(c) = -3*c - 1. Calculate the smallest common multiple of r(w) and m.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -1\/93, -18.8 in descending order.\nAnswer: 2, -1\/93, -18.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 + 21*x**2 - 25*x + 132. Let w be z(-12). Sort -5, -2, 326, w, -3 in decreasing order.\nAnswer: 326, w, -2, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3767 divided by -6?\nAnswer: -3767\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*u + 706 = -36. Let l(w) = -w**2 + 13*w + 23. What is l(u)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 89.5 + -0.5. Let f = b - 90. What is the nearest to -1 in 2\/7, f, -2?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1288 divided by -46.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uqj when three letters picked without replacement from {j: 4, y: 2, u: 1, a: 10, q: 1}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 129, 7, -3, -0.4, 4, 26 in decreasing order.\nAnswer: 129, 26, 7, 4, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1)\/((-4)\/6*(-15)\/40).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 419900 - 171322. Suppose 31*o - 9*o = g. Is o prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -48*n - 55 + 12*n**3 + 44*n + 55 - 123*n**2 to the form d + k*n**2 + h*n + g*n**3 and give k.\nAnswer: -123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-68)\/(-12) - 4)\/((-3)\/(-18)). Suppose 5*c + t = l - 7, -23 = -2*l - c. Calculate the highest common divisor of l and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1\/422 - 319\/1055. Put -1\/3, w, -73 in decreasing order.\nAnswer: w, -1\/3, -73","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2755, -5510, -8265, -11020?\n\"Answer: -2755*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -157*i + 1. Let v(m) = -m**2 + 6*m + 54. Let y(x) = x + 9. Let p(k) = v(k) - 6*y(k). Give p(z(a)).\nAnswer: -24649*a**2 + 314*a - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 259.\nAnswer: 4\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - a - c = -2, -c = -2*a. Suppose a*s + 53 = -5*u + 6*u, -4*u - s = -257. What is the units digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 287?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5*g + 302 = 0, -9*g = -3*f - 4*g + 916. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l**2 - 2*l - 13. List the prime factors of w(9).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(p) = 244*p**3 + 2*p**2 + 46*p - 159. What is the remainder when q(3) is divided by 178?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qjzz when four letters picked without replacement from zqtzjiz.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -4. Let l(o) = 15 + 29*o + 10 - 24. Is l(f) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 117968 - 117987. Suppose -b + 4 = 3*m + 54, -3*b = -m - 10. Is m equal to a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 53.9014 - -0.0986. Is z bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61825 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 4 and 136.5.\nAnswer: 546","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 721\/5 + -145. Let h = 0.1 - -0.3. Let m = h + -0.8. Which is the closest to -1?  (a) m  (b) v  (c) -5\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -6  (b) -81.76  (c) -4  (d) -0.3  (e) -9\/35\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 581 - 569. What is the greatest common divisor of d and 708?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 166212 to the nearest 100.\nAnswer: 166200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 105 and -4637?\nAnswer: -486885","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 184 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 2 = -5*v + 3, 5*v = -3*r + 4. Let t = v - -2. What is the units digit of ((-2)\/(-5))\/(t\/15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -i - 559. Determine x(-15).\nAnswer: -544","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**2\/7 - 921*g\/7.\nAnswer: -g*(4*g + 921)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 988\/10 - (-2)\/10. Let w be (-2)\/6 + (-168)\/(-18). Calculate the greatest common factor of w and m.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14965?\nAnswer: 5, 41, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -7, 48, -3\/215, 4, 0, 5, -2\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3982889 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -237 + 1070 = n. Let d be (-3)\/(-12) + n\/12. Let a = d + -69. Which is smaller: -1\/4 or a?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 357163334?\nAnswer: 2, 11, 599, 27103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1162 by 166.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2598247 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 9077456?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -166?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.002039333 to four dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 + 30*p**2 + 30*p - 68. What are the prime factors of k(19)?\nAnswer: 3, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * 215256.\nAnswer: 430512","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ss when two letters picked without replacement from {s: 2, i: 6}?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 303335 and 465.\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide -279 by -3.\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*w + 10 = -150. Suppose 8*o - 4*o = -w, 3*n = -4*o + 797. What is the tens digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 230*f - 85 = 235*f + 5*g, 11*f + 7*g = 16*f + 49 for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 691 minutes before 3:53 AM?\nAnswer: 4:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -0.15, 0, -2, 19.\nAnswer: -2, -0.4, -0.15, 0, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2495*o**3 + 13981*o**3 - 4333*o**3.\nAnswer: 12143*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -h**4\/3 + 5560396*h**3 - 30917986995610*h**2 + 171915787447736142772*h\/3 + 515749866704208603597 = 0. What is h?\nAnswer: -9, 5560399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Work out 148 + 4.96.\nAnswer: 152.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f = n - 11, -n - 136*f = -140*f + 5. Let b = -4\/17 + 46\/51. Determine k, given that -5\/3*k**n + 1\/3*k**2 + 2\/3*k + b*k**4 + 0 = 0.\nAnswer: -1\/2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (-1*-3*sqrt(17) + 6*sqrt(17)*3 - (6*sqrt(119)\/sqrt(7) - sqrt(68)*-4))**2.\nAnswer: 833","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 15.8 + -15.5. Suppose 5*c - 4 + 29 = 0. What is the fourth smallest value in 2\/61, c, r, -0.2?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -42670*x**4 - 33*x**3 + 35*x**2 - 431*x + 10?\nAnswer: -1024080*x - 198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 24608 and 64?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 204 minutes after 10:40 AM?\nAnswer: 2:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.673335 rounded to 2 dps?\nAnswer: 0.67","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 9 and 22.\nAnswer: 198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 9.994 to one dp.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 52 + -52. Solve 5*r - k + 12 = 0, -2*k = -q*k + 6 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 3*o - 20, 7*o = 4*x + 4*o - 44. Suppose x*l = 5*l + 174. Calculate the remainder when l is divided by 18.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -63 + 253\/4. What is the biggest value in 3\/2, w, -1.1?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215 is divided by 12?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108729022.\nAnswer: 2, 54364511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -78508*g + 78538*g - 2040 = 0. Solve 82*f = g*f - 14 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = -9*g - 347. Give p(-38).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11 = 3*i + 6*o - o, -2*i + 26 = -5*o. Let d = i - 7\/2. Put -4, d, -3\/2 in descending order.\nAnswer: d, -3\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when (-115)\/460 + 2586\/8 is divided by 69?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -8829624 by -6.\nAnswer: 1471604","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (-784)\/(-1176) - (-16)\/(-42)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p, 1 y, 1 k, and 1 m when four letters picked without replacement from kkpypmeyemkkkekpy.\nAnswer: 27\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-6)\/(-12) + 2\/(-4). Suppose c = -b - b. Suppose -y + 1 = -b. Sort 4, y, 2 in descending order.\nAnswer: 4, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-3)\/3 - -737) + -1. Suppose p = 8*p - m. Is p a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -102574694 + 102574587.9999918. Let b = 106 + a. Round b to 6 decimal places.\nAnswer: -0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 3*i**2 - 4*i - 4. Let h be t(-4). Let n be 3\/(-2)*h\/(-3). Which is the third biggest value?  (a) -5  (b) 0.3  (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x + 10 = 5*r, -4*x - 18 = -x - 3*r. Let n be (3\/6)\/(x\/(-20)). Solve h - 30 = -0*h + 5*i, 0 = n*i + 25 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q + 0*q + 0*q + (1 - 2 + 3)*(-q + 0*q + 0*q) + (-6*q - q + 0*q)*(1 - 1 + 1).\nAnswer: -11*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4814\/14451 + 1\/4817. Which is bigger: m or 17\/47?\nAnswer: 17\/47","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 92 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**3 + 2580*y**2 + 1023000*y + 114950000 = 0.\nAnswer: -550, -190","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11*-2 + (-3 - 1). Let z be (k\/4 - 2)*(-16)\/4. What is the highest common factor of z and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 236652?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -4, 4, -3, 1, 29 in decreasing order.\nAnswer: 29, 4, 1, -1, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 347*n - 432*n + 255. Solve 5*o + 30 = 2*d, -n*o = -3*d + 2*d + 17 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -168238, -168239, -168240, -168241, -168242?\nAnswer: -168243","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**4*j*j)\/(j\/j**3)*j**(-1\/2)*j**(5\/3) assuming j is positive.\nAnswer: j**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 350 and 17675.\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 5 - 15 = -2*k, 0 = 5*k - 2*j - 26. Calculate the common denominator of -43\/12 and (-3)\/k*27\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -123 + 52. Suppose -18*k + 2*d = -13*k - 439, 2*d = -k + 95. Let g = k + h. What is the highest common factor of 36 and g?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccccbobbochfhb. Give prob of picking 2 o and 2 b.\nAnswer: 6\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/(-4))\/((-8)\/6*975\/2340).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15628, 31267, 46914, 62569?\nAnswer: 78232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -3*s - 7. Suppose 1 = 3*r + 7, 11 = a - 3*r. Let q(c) = 6*c + 12. Let p(i) = a*q(i) + 9*x(i). Determine p(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 6399 and 33?\nAnswer: 70389","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = 0, -b = 2*g + g - 7. Is b at least as big as 8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) be the first derivative of 1\/3*g**6 + 0*g**5 - g**4 - 2 + 0*g + g**2 + 0*g**3. What is s in y(s) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*d - d - 7 = 3 for d.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 25\/39 and 31\/213?\nAnswer: 2769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the first derivative of -r**6\/2 - 3*r**2 - 5. What is the second derivative of d(w) wrt w?\nAnswer: -60*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 187 and 579832.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.4  (b) 0.2  (c) -0.02  (d) -3\/212\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) be the first derivative of -14*i**5\/5 + 14*i - 14. Differentiate g(r) wrt r.\nAnswer: -56*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.262 and 225.\nAnswer: 58.95","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) be the third derivative of -8*j**7\/105 + 7*j**6\/40 - 137*j**5\/30 + j**4\/8 + 2273*j**2. What is the third derivative of a(i) wrt i?\nAnswer: -384*i + 126","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -179286 by 674.\nAnswer: -89643\/337","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 320.548326  (b) 2\/9  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 778*t**2 - 12*t + 4. Let u(i) = -780*i**2 + 10*i - 6. Let r(z) = -2*s(z) - 3*u(z). Find the second derivative of r(y) wrt y.\nAnswer: 1568","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6265 - 6265. Factor 1\/3*m**2 + y - 2\/3*m.\nAnswer: m*(m - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-160)\/(-6) + (14\/(-3))\/(399\/228).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (5 - (1 - -10))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -21.137598067 and 28.2?\nAnswer: 49.337598067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0\/((-2)\/1)*-1)\/(-2). Suppose 0 = -2*r - i*r + 8254. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1334, -1346, -1358, -1370, -1382, -1394?\nAnswer: -1406","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 61595555?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 8371 - 8356. Let a(o) = -o**3 + 14*o**2 + 19*o + 4. Calculate a(w).\nAnswer: 64","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 2*u + 36, 5*m + 0*u + u = -207. Does 11 divide 14\/(-3)*108\/m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -12 - -10.5. Let r = x - 18.5. Let p = -20.03 - r. Is p smaller than 1\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = -i**2 - 43 + 7*i - 46 + 91. Determine s(4).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4809933?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 147 + 28*s**2 + 104 - 251 - 1446*s**4 wrt s.\nAnswer: -34704*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w**3 - 6*w**4 + 11*w**2 - w**4 + w**2 + 3*w**4 = 0 for w.\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.3637684 litres in millilitres?\nAnswer: 363.7684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 308*h**5*v - 5*h**4*v**2 - 47963*h**2 - v**2 wrt h.\nAnswer: 18480*h**2*v - 120*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -27 plus 2496584169?\nAnswer: 2496584142","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21*-1359.\nAnswer: 28539","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-23)\/161 - 30\/(-14). List the prime factors of 56\/s + 5 + -9.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2017 divided by -40\nAnswer: -2017\/40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 683.7939 nanograms?\nAnswer: 0.0006837939","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.8659 + 0.3659. What is the biggest value in -0.1, s, -1\/27, -2?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-30695)\/(-3430) + -9)\/(126\/49 + -4)\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 w when two letters picked without replacement from ffffwlxflrwirff?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -17134*i**2\/7 + 4560092*i - 3726\/7.\nAnswer: -2*(i - 1863)*(8567*i - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 17445 >= 17444?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*((sqrt(45) - (sqrt(180)\/sqrt(4) + -2)) + sqrt(405) + -2*(0 + sqrt(405))))**2*5.\nAnswer: -4500*sqrt(5) + 51125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1*3)\/(-11*(-5229)\/(-462))?\nAnswer: 2\/83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -20*t**4 + 266105*t**3 - 3*t**2 - 82779738*t?\nAnswer: -240*t**2 + 1596630*t - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17695 is divided by 807?\nAnswer: 748","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 4 = -3*y, 5*y + 30 = 5*f. Solve -w - 2*k - 3 = -6*k, 5 = -w + f*k for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 121863 to the power of 1\/3, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7034?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000703 rounded to 5 decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -110111220010 (base 3) to base 8\nAnswer: -741064","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 522, 521, 520, 519, 518, 517?\n\"Answer: -z + 523","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -320601000 to the nearest one million.\nAnswer: -321000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -4*t**3 - 5561472*t**2 - 11122932*t - 5561464 = 0.\nAnswer: -1390366, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -29*s**5 - 6*s**3 - 9*s**3 + 15*s**3 + 24*s wrt s.\nAnswer: -580*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 - 111*d + 1587. Calculate t(17).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 5 + 27 = -4*o, 0 = 5*y - 4*o - 92. Let x(l) = -l**3 - l**2 - 1. Let d be ((-4)\/10)\/(1\/5). Let z be x(d). Solve 0 = 2*g + z*g - y for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -51 + (0 - -1) - 2. Let l = -26 - b. Calculate the smallest common multiple of 4 and l.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*q**4\/3 + 232*q**3\/3 + 2164*q**2 - 13688*q\/3 + 6962\/3 = 0.\nAnswer: -59, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*f + 2*y - 281 = 0, -y - 21 + 114 = f. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(2\/7))**(-3))**(-38) assuming c is positive.\nAnswer: c**(228\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9088 divided by 2272.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 369, 376, 371, 354, 325, 284, 231?\n\"Answer: -6*y**2 + 25*y + 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -17528, -34427, -51328, -68231?\n\"Answer: -o**2 - 16896*o - 631","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2314 + 1175 + 1224)*(3 - 3 - 1)*(-3*s - s + s).\nAnswer: 255*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 598549 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10679.\nAnswer: 59, 181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/((-36)\/(-42))*(-6633)\/737.\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*q**2 + 5*q**2 - 17 - 22 + 39.\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = w**3 - 15*w**2 + 12*w + 17. Let r be q(12). Let f = r + 482. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, 10, 5, -1 in increasing order.\nAnswer: -1, 5, 8, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.67 and -2656318621.\nAnswer: -2656318621.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) -19  (b) 5  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(1 + sqrt(700) + 1).\nAnswer: -30*sqrt(7) - 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 14 = 1. Suppose 3*i - 2*i = -2*t + v, -5*t = -2*i - 30. Sort -1, t, 2\/3.\nAnswer: -1, 2\/3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 81 + -44. Let z = -26 + 98. What is the remainder when z is divided by v?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 24490, -2, -19, 2, -1, 2\/21 in increasing order.\nAnswer: -19, -2, -1, 2\/21, 2, 24490","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from wpwuqmfm.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000017622717 to 5 decimal places.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10\/10 - (-4)\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 427095 and 765.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k**5 + 229748*k**4 + 459480*k**3 = 0. Calculate k.\nAnswer: -57435, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 907*b**2 - 299*b - 1769. What is the ten thousands digit of c(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2386 is divided by 227.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18648151799 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 598 + -347. Let w = -2261\/9 + m. Sort -0.01, -0.4, w in decreasing order.\nAnswer: -0.01, w, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4334 (base 5) in base 11?\nAnswer: 4a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = 8*l + 72. Calculate p(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 54, 74, -5, 1645 in decreasing order.\nAnswer: 1645, 74, 54, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f**2 + 14*f - 748. Let v be i(-36). Is v at most 35?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -31, -60, -99, -142, -183, -216, -235?\n\"Answer: s**3 - 11*s**2 - 3*s - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 2503 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-y + y + 2*y)*(0 + 3 - 2) + y - 14 + 14 + (4 - 4 + 1)*(-3*y + 3*y + 2*y))*(2*y**4 + 2*y**4 - 3*y**4).\nAnswer: 5*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 1 + 3 - 60*d**3.\nAnswer: -60*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -3*z - 3. Let y(r) = -4. Let l(j) = -j + 4. Let q(o) = 4*l(o) + 5*y(o). Determine -5*q(u) + 6*s(u).\nAnswer: 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 7 - (-2 + (7 + 3 - 0))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2656 and 1494.\nAnswer: 23904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 48090 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 8*u**2 - 3*u - 6. Let z be w(-1). What is the nearest to 2\/7 in -5, 0, 1\/9, z?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -23846*b**3*d**2 - 3*b*d**2 - 19924*b*d + 1 wrt b?\nAnswer: -143076*b*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, o: 3, w: 1}. Give prob of picking 1 y and 1 w.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 5*o + 146 = -19, 3*o = 5*l + 141. What are the prime factors of (5300\/(-125))\/(2\/l)?\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 32929, 55733, 78537, 101341?\nAnswer: 124145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(68) + sqrt(68)*-2)*5 + sqrt(68) + sqrt(68)*-1*-3 + sqrt(68) + sqrt(68))\/(sqrt(256)*-1 + (sqrt(128) - sqrt(8))\/sqrt(2)).\nAnswer: 3*sqrt(17)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 4 - 3)*(-117*r**3 - 161*r**2 + 161*r**2 - 194*r**3).\nAnswer: 622*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 greater than or equal to -1\/14683557?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 59\/48 and -2\/7.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 47907252563 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 3 - -18 - 27 - -13\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/10 of a day?\nAnswer: 1584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f\/f**(1\/2))\/f)**(2\/7)*((f\/f**(-4)*f*f)\/f)**(-5\/7))**12 assuming f is positive.\nAnswer: f**(-372\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 47411423?\nAnswer: 2081, 22783","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.028 less than or equal to 17317288?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 4 = 2*m + o, -2*o = -4*m - 2. Suppose -2*b = -m - 5. Solve 0 = 3*d + d - n + 11, -3*d = n + b for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -253, 3, -4, 4, -2 in decreasing order.\nAnswer: 4, 3, -2, -4, -253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = 2*s + 10. Suppose 0 = 3*z - 4*j + 6, s*z - 19 = 3*z - 5*j. List the prime factors of z.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/1088*68)\/(2\/112).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*f + 2*i + 25 = 0, -343*f - 2*i + 25 = -348*f for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.64589 plus -1730?\nAnswer: -1728.35411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/82317?  (a) -0.17  (b) -0.1  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*p**4 - 2*p + 4*p**4 + 4*p)*(-9*p + 88*p + 10*p) - 2*p**3 + p**5 + 2*p**3.\nAnswer: -177*p**5 + 178*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-4)\/(-16) - (-1)\/4)*24. Let r be (-3)\/u + 100\/16. What is the greatest common divisor of 24 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 2240589911?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n = 4*c - 35, -c = -4*c - 5*n + 22. Let f be 86\/18 + 2\/c. Suppose -2*o = 6, 5*l - f*o - 15 = 15. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) be the third derivative of -s**5\/60 + 3*s**2. Let h(d) = -9*d. Determine h(n(r)).\nAnswer: 9*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -5755 + 5754. What is the fourth smallest value in -5, x, -3, -19, -1\/9?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 24*b - 569 = -5*o + 152 + 253, 3*o + 3*b = 117 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 408, 443, 494, 555, 620, 683, 738, 779?\n\"Answer: -i**3 + 14*i**2 + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*k = 2*w + 13, -4*w + 2*k + 0*k - 18 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 101 + -47. Suppose 0 = -5*f + 11 + w. Calculate the remainder when 89 is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(288)*-2 + sqrt(288))*-1)**2 + -4.\nAnswer: 284","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -13299 - -0.331?\nAnswer: -13298.669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:12 PM and 2:16 AM?\nAnswer: 184","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -18*z - 702. Let u be b(-32). Let k(q) = -q - 126. Let x be k(0). Is x > u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -315652*g**2 - 45008.\nAnswer: -631304*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12013 - 12017. Which is the closest to 0?  (a) -1\/2  (b) u  (c) -29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 24057?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 113437548.\nAnswer: 2, 3, 7, 107, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -39, -35, -25, -3, 37, 101?\nAnswer: 195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (15\/(-18))\/5 - (-13 - -13)?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101a (base 13) to base 8.\nAnswer: -4254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 411540005*o**2 - 629983500?\nAnswer: 823080010*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -102 = -a - 3*a - 2*s, -73 = -3*a + 2*s. What is the least common multiple of a and 90?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1 + 0)*(-3 + 0). Suppose 0*s = d*s. Suppose s = -0*h - 5*h + 115. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 5694*i**3*n**2 + 62*i**3 + i**2*n - 10*n wrt n.\nAnswer: 11388*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77 = -5*m + 277. Suppose 2*n - 3*n = -m. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 625895, 625897, 625899, 625901, 625903?\nAnswer: 625905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 35031\/(-6)*(11 + -13) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4584 + -4589. Which is the fourth biggest value?  (a) 0.2  (b) -1\/8  (c) x  (d) -3  (e) 0.37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 66*f**3*h - 254998*f**3 + 629249*f**2*h + 57*f with respect to h.\nAnswer: 66*f**3 + 629249*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 9 + -17 + 4 + (-4 - -21) - 6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 6*o + 3*y - 10 = 0, -y = -2*o + 4. Suppose 0 = 5*b, -114 = -3*t + o*b - 7*b. Let s(z) = -3*z + 2. What is the remainder when t is divided by s(-3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22959776 and 1792.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.03116 and -34603?\nAnswer: 34602.96884","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2574*b = -2584*b. Solve 3*o + 2 + b = 4*m, 0 = 4*m + 5*o + 14 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 14, -266, -1, -3 in increasing order.\nAnswer: -266, -3, -1, 3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -3493, -6891, -10149, -13267, -16245?\n\"Answer: 70*s**2 - 3608*s + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -26?  (a) -45  (b) 0.2  (c) 3  (d) -1  (e) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: -65187936 divided by -90288\nAnswer: 722","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -24, -0.6, -5, -0.4 in descending order.\nAnswer: 1\/7, -0.4, -0.6, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 13 divide 7166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -1404511 - -102?\nAnswer: -1404405","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine b, given that -2*b**3 + 422*b + 420 = 0.\nAnswer: -14, -1, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 141596 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -6*d + 38. Calculate the least common multiple of 26 and u(6).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 46899235?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -468ab5 (base 15) to base 6.\nAnswer: -200124542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**2 + 32*i - 271. What is v(-30)?\nAnswer: -331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 4792 or -5085?\nAnswer: 4792","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-117)\/(-115) + -1 - (-19031418)\/3580065?\nAnswer: 16\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -1 + -b35197?\nAnswer: -b35198","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) = -w**2 - 10*w - 15. Let c = -8 - -12. Suppose 13 = -c*b - 15. Calculate the remainder when 21 is divided by q(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -260, -466, -674, -884, -1096, -1310, -1526?\nAnswer: -1744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 13\/319 and (49\/116)\/(-7)*(-5508)\/765?\nAnswer: 1595","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3040 (base 5) to base 11\nAnswer: -32a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 8. Suppose -4*q + r = 6*r - 12, 0 = 4*q + 2*r - 12. Suppose -q*t = 4*f - 15, -4*t = -x - 3. Let g(w) = -w**3 + 3*w**2 + 2*w - 4. What is g(f)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*p + 54 - 42 = -4*j, -4*p = -4*j + 44 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -3*d**3 + 18*d**2 - 17*d + 2. Let n(u) = -u**3 + 6*u**2 - 6*u + 1. Let s(i) = 17*n(i) - 6*w(i). List the prime factors of s(6).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(v*v\/((v*v\/((v*v*v*v*(v\/v**(-2))\/v)\/v)*v)\/v)))**45*(v\/(v\/((v*v*v\/v**17)\/v)))\/(v**8\/v))**(-43) assuming v is positive.\nAnswer: v**8686","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 583820649?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = 2*a**2 + 37*a - 15. Let u be n(-19). Suppose -5*l = -5*x - 515, -3*x - 142 = -u*l + 272. Is 21 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 33627*i**2 + 6252*i - 4141*i**4 - 1719*i**4 + 48630*i**3 - 6383*i**4 - 2646*i**5 + 252 = 0. Calculate i.\nAnswer: -7, -2\/7, -1\/18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2. Let r(j) be the second derivative of -j**4\/4 + 4*j. Determine i(r(g)).\nAnswer: -18*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 0.041 and 74322064187?\nAnswer: 74322064186.959","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9324\/(-60))\/(357\/255).\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -137 at least as big as -138?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 24498000 rounded to the nearest 1000000?\nAnswer: 24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 188470, 376930, 565390, 753850, 942310?\n\"Answer: 188460*l + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -59*a**5 + 48039*a**4*j**3 - a*j**3 - 7*a + 141*j**3 - 239*j**2 - 16*j wrt a?\nAnswer: -1180*a**3 + 576468*a**2*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -51 - -55. Suppose -5*o - s + 6*s + 140 = 0, -o + 28 = v*s. Calculate the highest common factor of o and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n and 1 u when two letters picked without replacement from nndupaaz.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 53242 divided by 7606?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3052365\/46 or 66355?\nAnswer: 66355","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(200) - ((sqrt(200)*-1 - sqrt(200))**2 + -1)).\nAnswer: -2397 + 30*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9208928 is divided by 473.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 18.1 to the nearest 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of 17*g**6 + 281*g**3\/3 - 1303*g - 2. What is the second derivative of b(h) wrt h?\nAnswer: 6120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -10 - -2.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 7*d - 1. Let m be r(1). Let v = 0 - m. Let l = v + 11. Solve n + 3*z = 4*z + 10, 15 = l*n + 2*z for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.04 < -4133038?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Solve -471*h + 2304 - 7608 = -323*h - 44*h for h.\nAnswer: -51","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -5*p**2. Let b(g) = -g - 1. Suppose -2*a + 0*a = 8. Let m be b(a). Let n(y) = -7*y - y + m*y - y. Determine r(n(k)).\nAnswer: -180*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r = 129 - 49. What is the smallest common multiple of r and 134?\nAnswer: 1072","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -613*y**2 - 31265*y - 116. What is v(-51)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = -10*c + 39. Let a(m) = -46 + 16 + 144*m - 10 - 134*m. Let z(v) = 3*a(v) + 2*p(v). What is the remainder when z(8) is divided by 21?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-75)\/30*2\/4*-4. Solve -r - 13 = g*k, 3*k + r + 7 = -2 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 27*k**2 + 143*k - 110. What is q(31)?\nAnswer: 479","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5 and 10477.\nAnswer: 52385","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -110352, -220700, -331038, -441360, -551660, -661932, -772170?\n\"Answer: k**3 - k**2 - 110352*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*d - 2*d - 7*d)*(-6*d**3 + 14*d**3 + 5*d**3).\nAnswer: -52*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*t + 85 = 3*p, -2*p - 4*t - 9 = -63. What is the remainder when 146 is divided by p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 1205538?\nAnswer: -1205538","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = -3 + 4 + 1 - 7*h - h. Let i be f(-3). Calculate the highest common divisor of 78 and i.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*s = -5*s. Is 28 a factor of (-5544)\/(-18)*(2 - s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -84557*v**4 - 331*v**2 - 548*v wrt v?\nAnswer: -2029368*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = -d**3 + 9*d**2 - 2*d + 9. List the prime factors of t(6).\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ggzg when four letters picked without replacement from zggggggzggg.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -279*i**3 - 8*i**2 + 11*i + 6. Let b(q) = -q**3 - 5*q**2 + 2*q - 2. Let j(h) = b(h) - x(h). Find the second derivative of j(g) wrt g.\nAnswer: 1668*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 20, -0.2, -0.4, -0.6, 1\/31 in descending order.\nAnswer: 20, 1\/31, -0.2, -0.4, -0.6, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -14.51 + 14.5962. Round f to two decimal places.\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 2*n + 5. Let p = 75 + -227\/3. Which is the nearest to -1\/2?  (a) n  (b) -2  (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 23 - 11. What is the second biggest value in v, 4\/5, -5, -1?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/((-30)\/8))\/(-1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 782921992?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -213 - -218. Solve -c*l - 14 = -12*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 305.3 - 293. Let o = h + -12.300089. What is o rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find q, given that 2*q**2 + 435804*q + 5665114 = 0.\nAnswer: -217889, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 3 = -2*u, 23 = 5*b + 3*u. Solve -6*z - 11 = b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (0 - (0 - 2))*1. What is the third derivative of 2*m**3 - m**2 + m**2 - 5*m**j + 3*m**2 wrt m?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = 926*g. Let q(i) = -2730736 + 2730736 - 6*i. Give m(q(o)).\nAnswer: -5556*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00301229196 to seven decimal places.\nAnswer: 0.0030123","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that p**2\/4 - 24735*p + 611820225 = 0.\nAnswer: 49470","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 5*h - 2*h)*(5010*h + 10 + 31 + 28 - 71).\nAnswer: 10020*h**2 - 4*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-132)\/(-28) - 3\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 277, 3, 1, 12 in increasing order.\nAnswer: 1, 3, 12, 277","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = -n**2 - 3*n + 9. Let m be (18\/(-45))\/(1\/(-10)). Suppose -m*a - 2*a = 30. Let g(d) = -2*d**2 - 5*d + 14. Determine a*g(h) + 8*c(h).\nAnswer: 2*h**2 + h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**2 + 15*i - 6. Let s be t(4). Let p(w) = -17*w - 7. Let j be p(-6). What is the highest common divisor of s and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 10*m + 56*m**3 + 3*m**4 + 13 - 8*m - 62*m**3 as v*m + x*m**3 + a*m**2 + g + c*m**4 and give g.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2112)*-1)\/(sqrt(66)\/(-1*sqrt(6) - sqrt(6))) + -4.\nAnswer: -4 + 16*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 5 + ((1 + sqrt(637))*-2)**2.\nAnswer: 56*sqrt(13) + 2554","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.7 in 0, -0.11, -1, 2\/9?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -2*j**4 - 5*j**2 - 7. Let k = 5 + -7. Let y(q) = 9*q - 9*q - 2*q**2 - 4 + 1 - q**4. Let l(m) = k*r(m) + 5*y(m). Differentiate l(z) wrt z.\nAnswer: -4*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (104*m**2 + 86*m**2 - 3*m**2)*(-3*m**3 - m**3 + 2*m**3) + (-m**5 + 0*m**5 + 0*m**5)*(-2 - 5 + 4).\nAnswer: -371*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 7*x**2 + 7*x - 2. Suppose 0 = -2*h + h + 5*s + 9, 135 = 5*h + 5*s. Suppose -h + 0 = 3*l. What are the prime factors of q(l)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -3*a + 3*a - 7 + a**2. Let k = 2753 + -2753. Give j(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -50*y**4 + 0*y**3 + 2*y**2 - 18*y**3 + 20*y**3 to q*y**2 + n*y**3 + k*y**4 + z*y + h and give k.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from wwsss. What is prob of sequence wss?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 33533 - 31870. Calculate the remainder when s is divided by 87.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 5, j: 8}. Give prob of picking 1 j and 1 c.\nAnswer: 20\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 220093 is divided by 1572.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 90 and 705?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((7\/(-21))\/((-3)\/(-9)))\/(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/22 and 113\/170.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1419 and 344?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:55 PM and 12:37 AM?\nAnswer: 342","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 21011 (base 3) to base 6\nAnswer: 521","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -5*y - 12, 0 = 5*y - 2*k + 5*k + 4. Let w be ((-30)\/(-25))\/(y\/(-20)*3). Solve 3*r = 5*r + w for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 87\/395500 and 13\/280.\nAnswer: 791000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o + 3*i = -1, 0*o + 3*o + 3 = 3*i. Suppose s = -3*q + q - 5, 0 = -4*q - 8. Let n be (4\/(-2))\/((-2)\/s). Is n greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -16. Let t be 10\/(-4)*b\/(14\/4). Is 1\/6 equal to t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 236\/87, -0.3, -14, 0.3 in decreasing order.\nAnswer: 236\/87, 0.3, -0.3, -3, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (47 - 0) + 1*4?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7030 rounded to the nearest ten thousand?\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 divided by 11918?\nAnswer: -3\/5959","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n**4 - 4*n**2 - 13*n + 5*n**2 - n**3 - 1 + 0*n**2 + 2 to u*n**3 + d + r*n**2 + q*n**4 + z*n and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10 - 11101110110000000011001100?\nAnswer: -11101110110000000011001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c = -135 - 45. Let f be (27\/c)\/((-1)\/(-173648)). Let g = f + 77236. Round g to the nearest ten thousand.\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:31 PM and 11:15 PM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -196 - -296. Which is smaller: r or 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*b + 10 = -0*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 36276, 36548, 36804, 37038, 37244?\nAnswer: 37416","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 + 17 + 3222\/(-90) - 107\/(-140)?\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2 - 44*z - 158. Let h be x(-40). Let f(i) = -3*i**3 + 4*i**2 + 2*i - 4. Let y(p) = 12*p**3 - 17*p**2 - 9*p + 17. Determine h*y(l) + 9*f(l).\nAnswer: -3*l**3 + 2*l**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -3  (b) 2\/473  (c) 0.2  (d) 0.035\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/1647 less than -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 117745 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:26 AM and 6:41 PM?\nAnswer: 435","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*o**2 - 6*o**2 + 0*o**2 - 2 + 14*o**2 - 3*o**2 + 183*o**3 to the form q*o**2 + w*o**3 + t + f*o and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d - l - 462 = 0, -d + 3*l + 190 = d. Let g = d - 25. Differentiate -31 + 32*b**4 + 67*b**2 - g*b**2 wrt b.\nAnswer: 128*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6855 (base 14) to base 9.\nAnswer: 26748","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 28\/8*((-182)\/7)\/(-13) + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = j**2 - 6*j + 2. Suppose -3*h = -2 - 7. Suppose -n = h - 9. Let t be q(n). Sort -3, 4, t in decreasing order.\nAnswer: 4, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1320.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor 1\/3*f**5 + 0*f**4 + 0 - 9*f**3 - 18*f**2 + 0*f.\nAnswer: f**2*(f - 6)*(f + 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -273 by -1.\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 7099 - 85111\/12. Find the common denominator of t and 37\/2.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.388 and -0.178772.\nAnswer: -0.069363536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j - 3*l - 8 = 4*j, -3*l = 2*j - 8. Solve -25 = -5*y - 5*a, -j*y + 8 = -0*y + a for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 16 = -36. Let v = 28 + o. Is v at least as big as 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 68982?  (a) -2\/5  (b) -2\/9  (c) 0.04  (d) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 divided by -10.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -689 + 1276. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*i + 2 = 3*h, 4*i - 37106*h = -37110*h + 16 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -33, 45, 175, 357, 591?\n\"Answer: 26*n**2 - 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 26038 (base 14) to base 16\nAnswer: 16ca2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -60 - 1. Let z = j - -71. Which is the third biggest value?  (a) -0.2  (b) z  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-62)\/21 + (-2)\/4*-6. What is the second biggest value in o, -0.5, -3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1907979647 is divided by 848.\nAnswer: 847","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/455 and 83\/12220?\nAnswer: 85540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1.522 * -84\nAnswer: 127.848","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put 330, 4, 3 in decreasing order.\nAnswer: 330, 4, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10.211*-23.\nAnswer: -234.853","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -820, -837, -854, -871?\n\"Answer: -17*w - 803","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve h**3\/6 + 74*h**2\/3 + 1982*h\/3 + 4872 = 0.\nAnswer: -116, -18, -14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2 + -6 - -4) + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(4*(2*sqrt(128) + -2 + sqrt(128) + 0 + 3))**2*-6 + -2.\nAnswer: 4608*sqrt(2) + 110686","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 152 is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**3 + 14*d**2 + 39*d - 25. Determine k(-10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2121 is divided by 870.\nAnswer: 381","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 306456 divided by 8\nAnswer: 38307","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1077263137 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + (sqrt(180) + sqrt(180) + -3 + sqrt(180) - sqrt(180)) + -4*(sqrt(5) - (sqrt(80) - (sqrt(80) + 3))))**2*-3*3 + -1.\nAnswer: -5482 + 2448*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 6663.4 + -7435. Round k to the nearest 100.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 + i**2 + i + 47. Let j be m(0). Let k = j - 29. Is k a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 101.10496 to zero decimal places.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -24 + 27. Suppose 3*g + i*t = -2*g + 23, 4*t + 2 = -2*g. Solve -g - 3 = 5*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-10)\/4)\/(2\/12). Let r = -12 - v. Suppose 0*i = -r*i + 117. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5059671 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2178115 is divided by 47?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22169127?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express -119 + 116 - h**3 + 2*h - h**2 - h**3 in the form b + g*h + m*h**3 + q*h**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10 = -3*b + 8*b + 2*j, b + 29 = 5*j for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*p + 123*p - 41*p.\nAnswer: 69*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 530140254 (base 6) to base 5.\nAnswer: 4332012304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 809 a factor of 2793710785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = 2*a**2 - 4*a + 4. Let c be f(2). Suppose 0 = -10*p + 9*p + c. Find the common denominator of -119\/12 and 242\/48 - p\/1.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -774*u - 16912. What is o(-22)?\nAnswer: 116","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 104 minutes after 4:44 PM?\nAnswer: 6:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) be the third derivative of v**8\/560 + v**7\/350 - v**6\/50 - v**5\/25 + 154*v**2. Determine o so that t(o) = 0.\nAnswer: -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 + 3*h + 0)*(2*h**2 - h + h) - 15*h**3 + 3*h**3 - 12*h**3 + (3*h - h - h)*(-2*h**2 - 2*h**2 + 2*h**2) + 0*h**2 + 0*h**2 - h**3.\nAnswer: -21*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 10.3927 in -0.1, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -26*f**2 + 0 - 8 + 23*f**2 - 31*f**2 wrt f?\nAnswer: -68*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -301837, -301836, -301833, -301828, -301821, -301812?\nAnswer: -301801","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 2585412 and 5328?\nAnswer: 1332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-10)\/16*(-26)\/(-65). Which is the fourth biggest value?  (a) -0.1  (b) 14  (c) 5  (d) -1\/3  (e) v\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/574736364 and 107\/126?\nAnswer: 4023154548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -255 * 2.5.\nAnswer: -637.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 454, 947, 1442, 1939, 2438, 2939, 3442?\n\"Answer: y**2 + 490*y - 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g**(-1)*g))**(-2\/41)*g\/g**(-3\/8)*g*g**(6\/5) assuming g is positive.\nAnswer: g**(5783\/1640)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 459 and 2210.\nAnswer: 59670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*j**5\/5 + 38*j**4\/5 - 174*j**3\/5 + 242*j**2\/5 - 104*j\/5 = 0. What is j?\nAnswer: 0, 1, 4, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-d**3 + 5*d - 5*d)*(5*d - 2*d - 2*d + (-2 + 1 - 1)*(1 - 1 + 2*d) + 2*d + 0 + 0 - 2*d - 1 + 1) - 2*d**2 + 2*d**2 + d**4.\nAnswer: 4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -z. Suppose -4*w = -10*w - 270. Let c = 56 + w. Let h(u) = c*u**2 - 4*u**2 + 18*u**2. What is h(y(d))?\nAnswer: 25*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -43454.4724 - -0.3.\nAnswer: -43454.1724","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 15633.8 + -15634. What is the third smallest value in -1\/4, -0.42, u, -1\/2?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16317 = 17*m - 38*m. Calculate the highest common factor of 42 and m.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**2 + 3*c - 65. Suppose -10*j + 27 = -7*j. Let q be b(j). Which is smaller: 42 or q?\nAnswer: 42","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.238 - -153.238. Let n = t - 158. Which is the nearest to -2\/5?  (a) 2\/9  (b) n  (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0\/((-6)\/(-2) + -5). Let h = x + 2. Solve h*u + 3 = 11 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (23*b - 23*b - 22*b**2)*(-20374 + 8952 + 7446)*(-b - b + 0*b) to the form n*b**2 + s*b**3 + w + r*b and give s.\nAnswer: -174944","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -17.9 + 18. What is the closest to -0.2 in 2\/15, i, 3\/10?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**3 + 9*l**2 - 9*l + 6. Let u be q(8). Let r = 4 + u. Suppose z + i = 12, -r*z + 5*i = 2*i - 39. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 - 24*u**2 - 6*u - 23. Determine v(-24).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a microgram in nanograms?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 29*b + 3. Let p be k(0). Put 6, p, 9 in increasing order.\nAnswer: p, 6, 9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 17764 + -17761. Put -0.2, 6, -27, j in ascending order.\nAnswer: -27, -0.2, j, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 233598*x - 467231*x + 233648*x.\nAnswer: 15*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 8*y**2 + 2*y - 4. Let l be o(4). Suppose 2*n + 30 = p, 3*p + p + 4*n - l = 0. Suppose -3*q + g = -14, 0*q = -2*q - 5*g + p. Does 5 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*g = -143 - 256 - 393 for g.\nAnswer: -132","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 51120977 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 352269455 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-10))\/(-9 - (-440)\/50).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (66\/(-44))\/((-1)\/2). What is the second derivative of 10*n - 15*n - 1 - 39*n**3 - 15*n**c wrt n?\nAnswer: -324*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 3, 4, -6, -17046?\nAnswer: -17046","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3966882902?\nAnswer: 2, 89, 22285859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = -7*b - 17. Let p(x) = -4*x - 9. Let d be 3 - 6*3\/(-6)*1. Give d*c(w) - 11*p(w).\nAnswer: 2*w - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 143760107 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/4  (b) -15  (c) 1\/7  (d) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put 73, -3, 18, 5 in increasing order.\nAnswer: -3, 5, 18, 73","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00181299 rounded to four decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 27 = -h, -3*u + h = -32 + 3. Let a = u - 5. Let o = 35 + -30. What is the smallest common multiple of a and o?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3541*k**5*l + 3*k**4*l**2*m + 3*k**2*l**2*m + 261*k**2*l + 2*l**2 + l wrt k.\nAnswer: -212460*k**2*l + 72*k*l**2*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 2323 - 3?\nAnswer: 2320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:38 AM and 6:42 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -15 - -12. Let g(w) = -w**2 - 2*w + 4. Let o be g(j). Let u = -459.8 - -440.8. Which is the third smallest value?  (a) -4  (b) o  (c) -5  (d) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*z**5 - 2*z**5 - z**5 + (-z**2 + 2 - 2)*(14*z**3 - 4*z**3 + 3*z**3) - 5*z**5 + 111*z**2 - 111*z**2.\nAnswer: -19*z**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1.1 * 0.0006.\nAnswer: 0.00066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -46*h + 2. Give i(-2).\nAnswer: 94","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is seven halves of a litre in millilitres?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 40334363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 1636 and 9536?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 0  (c) -0.03  (d) 5  (e) -1\/34\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*d**3 - 1 - 6*d - 7*d + 13*d to the form r + q*d**2 + h*d**3 + m*d and give h.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sum -9909 and 18408645.\nAnswer: 18398736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*y - 7 = 1 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -57 (base 11) to base 8.\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y - 6. Let w be b(-8). Suppose -w*m + 44 = -4. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 29713 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 6*n - 58. Let p be o(11). Suppose 14 = p*g - 10. Solve -2*q = -6*q - 4*h + 32, 0 = 4*q - g*h - 4 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*z + 35 = -2*z. Suppose -4*w + 5 = -z. What is the units digit of (0 + w + -2)*1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**2. Let i(o) = 3*o + 17. Give j(i(a)).\nAnswer: 9*a**2 + 102*a + 289","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 39*i**2 - 4*i - 63. Let r(b) = -196*b**2 + 22*b + 316. Let l(h) = 2*r(h) + 11*u(h). Differentiate l(t) with respect to t.\nAnswer: 74*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -15, -6, 3, 12?\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -0.096 - -5.096. Let r(z) = z**2 + 7*z + 7. Let x be -4 - 0 - (-4)\/(-2). Let p be r(x). Which is the second biggest value?  (a) p  (b) h  (c) -2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -303287 - 0?\nAnswer: -303287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((4\/6)\/((-10)\/33))\/((-24)\/3960). Solve -k*n = -383*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 6 = -2. Let h = l + 6. Let n be h\/13 - (-328)\/104. Solve 4*q + 3*j + 7 = 0, -2*q + j + n = -6 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d - 6*d + 0*d. Let l(o) = 8*o**2 + 2 - 7*o**2 - 2. Give v(l(a)).\nAnswer: -5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 + -1. Let b(z) = 3*z - 22. Let o(r) = 7*r - 45. Let s(n) = -5*b(n) + 2*o(n). Let k be s(11). Solve 5*c - 2*x - 11 = 0, -5*c - f*x = -5*x - k for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 627121800 by 20904060.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(6) + sqrt(150) + sqrt(150) + sqrt(150)*2)\/(sqrt(2)*1*-3)*-6.\nAnswer: 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -4925509.668 rounded to the nearest one hundred?\nAnswer: -4925500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 253, 261, 283, 325, 393, 493, 631, 813?\n\"Answer: k**3 + k**2 - 2*k + 253","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 445 a factor of 920572985?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = 4*b - 115. Let s be p(27). Let g(x) = -x**3 - 6*x**2 + 5*x - 9. Calculate the remainder when g(s) is divided by ((-4)\/10)\/(2\/(-10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 22 = 3*i, 3*y + 33 = -136*i + 118*i for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 2 v when three letters picked without replacement from rvgvfho?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10a62 (base 15) to base 10.\nAnswer: 52967","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1169.7779 rounded to the nearest ten?\nAnswer: -1170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 times -0.0824?\nAnswer: -3.296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*c = 12*c - 3*t - 10516, t = 8. Which is smaller: -14754\/7 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -402449 + 2?\nAnswer: -402447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -44\/149335?  (a) 1\/4  (b) -1\/3  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = -5*k - 4*a - 2, 3*a = -2*k + 9 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/(s\/s**(1\/4)))\/(s*s**22))\/(s**(-2\/21)*s)**2 assuming s is positive.\nAnswer: s**(-2063\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -579353 + -1?\nAnswer: -579354","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14921?\nAnswer: 43, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2*4\/32)\/((-21)\/(-14))?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 1\/5  (b) 2  (c) -5  (d) 11.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*d + 4 - 4)*(2*d - 3*d + 0*d) - d**2 + 0*d**2 + 0*d**2 + (4 - 6*d - 4)*(2*d - 1 + 1).\nAnswer: -15*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 80035412 is divided by 40017703?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 12 + 4*r**3 + r**2 - 12 + 0*r**2 to d + g*r + x*r**3 + h*r**2 and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2409, 7705, 16197, 27885, 42769?\nAnswer: 60849","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -313033223 (base 4) in base 12?\nAnswer: -aab4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**(-2\/3)*h\/h**(-3))\/(h**(-1\/2))**(-7))\/((h**(-1\/4)*h*h)**(1\/47)*h**(-5)\/(h\/(h**(-1\/3)\/h))) assuming h is positive.\nAnswer: h**(4021\/564)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 718.58 + 0.42. Let m = 718.99647 - v. Round m to 4 decimal places.\nAnswer: -0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 2 + 16\/(-22) + 47972\/11814.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -35*l + 37. Let h be f(-13). Suppose -8 = -h*g + 490*g. Find w, given that -4*w**3 + 33\/5*w**2 - 4*w + 4\/5 + 4\/5*w**g = 0.\nAnswer: 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence io when two letters picked without replacement from odoiw?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -7, -4, -53, 0, -14 in increasing order.\nAnswer: -53, -14, -7, -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.272 - -1.848. Let h = 2.25 - g. Let w = 0.42 + -0.02. Put w, h, -0.4 in decreasing order.\nAnswer: w, h, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 145 - 145.1. Which is the smallest value?  (a) -1\/2  (b) i  (c) 9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49220388169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 168?\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -521*b = -458*b + 1386 for b.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 6521 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -27*r**2 + 3. Let a be q(2). Let m be (-1)\/(5\/a + 0). Calculate the greatest common divisor of m and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -153 = -32*v + 103. Solve 10*y - 2*y = -v for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1 + -10001?\nAnswer: -10002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -1 + 2 - 2*o**3 + 3*o**3 + 2*o**2 - 2*o. Let m(k) = 5*k + 2. Let p be m(-1). What is f(p)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 325946494 to the nearest integer?\nAnswer: 688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 863721 a multiple of 156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 506 and 23437?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, 5, -9, 3.\nAnswer: -9, -5, 2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1100542 (base 6) in base 2?\nAnswer: 1101010101101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -304, -592, -878, -1162?\nAnswer: -1444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/324 and -73\/7583814.\nAnswer: 45502884","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -690*o - 1514 = -629*o - 294 for o.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 793 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Work out 25 - -9300843.\nAnswer: 9300868","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + -3 + -4 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 188684*a + 263 + 606 - 187600*a wrt a.\nAnswer: 1084","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 6, p: 3, a: 8}. What is prob of picking 1 z, 1 a, and 2 p?\nAnswer: 36\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -134*i - 79. What is the tens digit of y(-7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -7405921*l**4 + 3400033*l**2.\nAnswer: -177742104*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = -2*o + 1. Let u(z) = 12*z - 4. Let m(g) = -4*q(g) - u(g). Let s = -11 - -14. Let x(i) = 2*i - s*i + 4*i - i. Give m(x(h)).\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 252\/2821 - (-18)\/279?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t and 1 j when three letters picked without replacement from {w: 1, t: 4, j: 1, x: 4}?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 670158276 to the nearest integer?\nAnswer: 25887","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 22 - 75?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 86193*l**3*n - 58*l**2 + 74*n wrt l.\nAnswer: 517158*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + ((sqrt(441) + sqrt(441) + ((sqrt(441) - (sqrt(441) + sqrt(441)*1) - sqrt(441))*5 - sqrt(441)))\/sqrt(7))\/(sqrt(72)\/(sqrt(32)*4)).\nAnswer: -72*sqrt(7) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 289872 to the power of 1\/3, to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13770678 is divided by 399.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Do -24 and -777 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the third derivative of -17*n**6\/120 - n**4\/24 + n**2. Suppose -4*x + 2*u = 2 - 6, 12 = -3*u. What are the prime factors of p(x)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 8:49 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 j, and 2 q when four letters picked without replacement from hqjqjhcqhqcjc.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 46571 is divided by 675.\nAnswer: 671","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -60*t**2*x**3 - 306*t**2 - 12*t*x**2 - t - 2*x**3 + 224*x wrt t?\nAnswer: -120*x**3 - 612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, l: 7, s: 2, o: 1, y: 6}. Give prob of picking 1 o and 1 l.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 72 divide 11\/275*5 + 15836\/20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*a + 10*a + 9. Let b(w) = -w**3 - 4*w**2 - 2*w - 2. What is b(a)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21\/4 + 323\/60. Sort 0.03, -2\/9, -1, q in decreasing order.\nAnswer: q, 0.03, -2\/9, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 175 divided by -35\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one tenth of a centimeter?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (sqrt(17) + 2 + -2)**2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 747131*d**2 + 4*d**3 - 747131*d**2.\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*z - 2*z - 3*d - 117, 0 = 2*z - 3*d - 57. What is the remainder when z is divided by 210\/18 - (-2 - 24\/(-9))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -n - 2. Let m be g(0). Let p(k) be the third derivative of 83*k**5\/20 - k**4\/12 - k**3\/2 - 113*k**2. Is p(m) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 37538?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 250 minutes before 3:00 AM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 6075222 or 0?\nAnswer: 6075222","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, 1, 501, 0, 0.023 in decreasing order.\nAnswer: 501, 1, 0.5, 0.023, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -390*n**2 - 179 + 179 + 2*n**3.\nAnswer: 2*n**3 - 390*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = 5*l + 2299999, 2*o + 0*l - 3*l = 1150001. Suppose 0 = j + 2*g + 575008, 0*j + g = j + o. Round j to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 3\/((-21)\/(-174433)) - (0 - -1). Let l be 2\/5 + (o\/30 - 8). Let a = -559 + l. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 5*z - 28300, -c + 3*z - 2*z + 9444 = 0. What is c rounded to the nearest one hundred?\nAnswer: 9400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 167449606 is divided by 41?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) be the third derivative of 0 + 1\/120*s**5 + 0*s**3 - 5*s**2 + 0*s - 1\/16*s**4. Factor r(m).\nAnswer: m*(m - 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from uqqeb. Give prob of sequence eqqb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1399 is divided by 459?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -q**3 + 4*q**2 - q. Let b be s(2). Find the third derivative of 3*c**3 + 2*c - c - c + b*c**2 wrt c.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26490007 - 26490116.99997. Let v = t + 110. Round v to 5 dps.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2305 (base 14) in base 15?\nAnswer: -1c06","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 19567 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-8)\/(-2))\/(7\/(-406)). Let y = -216 - i. What is the smallest common multiple of y and (1\/(-2))\/(2\/(-16))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 63\/10 and 39\/13898.\nAnswer: 69490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 664 minutes before 1:54 AM?\nAnswer: 2:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 810, -2, 2\/5, 2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 15 = -29. Calculate the remainder when 25 is divided by c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(50) + -4)**2.\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3)\/(-945)*18\/12. Let t(c) be the third derivative of -c**2 + 4\/21*c**3 + j*c**5 + 1\/21*c**4 + 0*c + 0. Let t(g) = 0. Calculate g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 355 and 20945?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, 7, -4, 3 in descending order.\nAnswer: 7, 3, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -29\/4422 and 11\/1159368.\nAnswer: 12753048","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 1387, 11135, 37589, 89101, 174023, 300707?\n\"Answer: 1392*p**3 + p**2 + p - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8\/(-2))\/((-4)\/(-2)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -r**3 - 10*r**2 - 6*r - 25. Let q be u(-10). Which is smaller: 34 or q?\nAnswer: 34","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 70.4 + -395.4. Let l = f + 323.51. Let x = -0.49 - l. Which is bigger: x or 0?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11882?\nAnswer: 2, 13, 457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 o, 1 q, and 2 b when four letters picked without replacement from qddqoqqoqqqcqbqdby?\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 1726*b**2. Let n(m) = 0*m**2 - 2*m**2 - 117140 + 117140. Determine n(g(q)).\nAnswer: -5958152*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 5623 or 5624?\nAnswer: 5623","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -1769*b**2 + 17684*b + 29. Calculate a(10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 609*r - 300*r = 308*r + 22, -2*r - 40 = 8*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (7\/(-84))\/((-15)\/(-80))\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of 2*s**6\/3 - 2*s**2 + 2. Find the second derivative of l(f) wrt f.\nAnswer: 80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20649361 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 83 + -78.64. What is u rounded to one dp?\nAnswer: 4.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 41*x**5 - 2*x**4 - 7*x**3 + 165*x**2 - 35.\nAnswer: 2460*x**2 - 48*x - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.173 + 147.827. Let w = z + -143. Let v = -0.1 - 0.1. Which is the nearest to -1?  (a) 3  (b) w  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) be the third derivative of 17\/40*r**6 + 0*r**4 - 7*r - 6*r**3 + 1\/30*r**5 - 3*r**2 + 0. Find the first derivative of z(d) wrt d.\nAnswer: 153*d**2 + 4*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 392 less than -1538.18717?\nAnswer: -1930.18717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13795 = 35*x - 20925. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v**3 - v**2 - 55*v + 130. What is the remainder when 249 is divided by y(0)?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 799858 and 23686.\nAnswer: 1822","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + s = -3*k - 706, 2*k = 5*s - 718. Let g be k\/(-11) - 2\/11. Suppose 5*f - g = 8. What is the highest common divisor of 24 and f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -35964752612.489941 + 35964930527.1. Let o = 177913.5 - m. Let v = o + 1.11. Round v to 5 decimal places.\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-44)\/12)\/(2\/30). Suppose -3*r + 45 = 3*z, -2*r - r = -2*z - 45. Let o be (-2)\/3 - l\/r. Solve -12 = -0*h - o*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 - -1. Which is the closest to -0.5?  (a) -5  (b) h  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 925097801 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**2 + 5*j - 2. Suppose a - 5 = 7*b - 3*b, -3*a - 5*b - 19 = 0. Let u = 2 - 0. Let k be (-1)\/((-2)\/(a*u)). What is v(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -3\/41  (b) 0  (c) 3288\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*h - 5*h + 6. Suppose 3*f = h*f + t - 30, 0 = -4*f + t + 47. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-69 + 618 + 192)*(1 + 0 + 0)*(-4 - z + 4).\nAnswer: -741*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -41.967 + 1.757. Let j = a + 40. Let w = j - -0.20999955. Round w to seven dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = 2*o - 6. Let x be k(6). Let n be x\/21 - 19\/(-7). Suppose -p = -3*i - n, -4*p + i = -5*p + 7. Solve -2*f - 2*t + p = 0, -2*f - 4*t + 16 = 3*f for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) = -z**3 + 77*z**2 - 122*z + 32. Let a be l(75). Solve a*v + 32 = 2128*v for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*p + 3 + 26 = 7. Put 112, 4, 5, -3, p in descending order.\nAnswer: 112, 5, 4, p, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*u - 876*f + 878*f - 23 = 0, -33 = -5*u - 2*f for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.17 - 0.67. Let f = z - 2.3. Which is the closest to f?  (a) -5  (b) -2  (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -57*j + 5. Let v(a) = -1196*a + 104. Let w = 3395 + -3499. Calculate w*u(k) + 5*v(k).\nAnswer: -52*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00129 rounded to four dps?\nAnswer: 0.0013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from kzjkyyykkk.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = j**2 + 58*j + 85. What is s(-56)?\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2 of a decade in years?\nAnswer: 55","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**5 + 1 - 1 + (17*w**2 - 2*w**4 - 17*w**2)*(-5*w - 8*w + 9*w).\nAnswer: 7*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 51612663?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 5*i + 12 = -19, 0 = -2*n - 3*i - 11. Let p(h) be the second derivative of 0 + 1\/2*h**n + h + 1\/3*h**3. Differentiate p(a) with respect to a.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 24\/(-408) - (-95)\/(-119).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 1044*u**2 - 219*u + 8. Is p(5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 81150 - 41449. Suppose 7*k + 508 = u. Is k composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -85*z + 436. Calculate c(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = -y**3 + 40*y**2 - 39*y + 4. Let i be o(39). Suppose -2*q = -4*l - 6*q + 1228, q = -i*l + 1231. List the prime factors of l.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 AM and 6:59 AM?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4740 + 4745. Which is the smallest value?  (a) k  (b) -3\/7  (c) -4  (d) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -c**2 + 8*c + 33. What is the tens digit of b(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 4*x - 5*y - 3, 3*y + 14 = -x. Let h = 25 + -20. Sort -3, h, x.\nAnswer: x, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0006613 to 3 dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (19 + 11 - 8)*(17 - 4 + 10)*(-6 - u**4 + 6).\nAnswer: -506*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 185*o**2. Let d(s) = -5*s. Give f(d(c)).\nAnswer: 4625*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:02 AM and 8:19 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -403 (base 11) to base 9.\nAnswer: -601","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0\/(-4) - (0 + 0 + -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.323 - 8.645. Let f = -0.06 - 10.94. Let n = f - i. Round n to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1351?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 51100 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 0.36  (b) -5  (c) -3\/4  (d) 0.1379\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i - 5 - 5. Let k = 0 + 4. What is the greatest common divisor of k and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 317264 - 317264 + 64*c.\nAnswer: 64*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9.177851 micrograms to kilograms.\nAnswer: 0.000000009177851","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3353498493?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*k**4 + 29*k**3 + 61*k**2 - 275155.\nAnswer: 8*k**3 + 87*k**2 + 122*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2054265?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 25138 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 277372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69 - 2*q**2 - 460*q + 185 + 38 + 173 - 3*q**2 = 0. What is q?\nAnswer: -93, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4 + (144116\/98)\/(2\/7).\nAnswer: 3, 17, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -11 - 114\/(-9) - 2. What is the second smallest value in z, 2.5, -3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, b: 2, w: 1, n: 1, m: 1, c: 1}. What is prob of sequence cn?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 961\/5 less than or equal to 191?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = -5*z + 26288, -3*z = 2*z + 4*h - 26296. Is z a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + 2*sqrt(720) + sqrt(5) + sqrt(5))**2 + -3.\nAnswer: 7217","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 173796884?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 291 = -56. List the prime factors of n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6.734221 + 6.773. Round h to 3 dps.\nAnswer: 0.039","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 183 and -0.2?\nAnswer: 183.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i = -5 - 5. Suppose -6 - 2 = -2*m. Find the first derivative of 0 + 2*o**m - i + o**4 wrt o.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -20*x. Let q(c) = -10*c**2. What is q(i(a))?\nAnswer: -4000*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 6 and 100216.\nAnswer: 300648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) be the second derivative of v**8\/1680 - v**4\/24 - v**3\/2 - 2*v. Let b(k) be the second derivative of q(k). Differentiate b(m) wrt m.\nAnswer: 4*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1442912202?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -14244.48908 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 27401, 27400, 27399, 27398, 27397?\nAnswer: 27396","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((-12)\/9)*4\/(-3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -258676, -517368, -776060, -1034752, -1293444, -1552136?\n\"Answer: -258692*a + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 113, 104, 83, 44, -19, -112?\n\"Answer: -y**3 - 2*y + 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 10 - 4 = 0. Suppose -i*q + 40 + 17 = 0. Calculate the highest common divisor of 95 and q.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 divided by -9871331\nAnswer: -7\/9871331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:48 PM and 7:21 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -8 - -19. Let a(d) = -d**3 - 39*d**2 - 34*d + 207. Let q be a(-38). What is the highest common divisor of q and w?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = -k**3 + 9*k**2 + 8*k + 8. Let j be q(10). Let x = 17 + j. Suppose 0*c = -x*c + 25. Solve c = 5*b, -b + 3*b = -5*d - 8 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 2, v: 4}. Give prob of picking 3 v.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 7, j: 2}. What is prob of sequence jp?\nAnswer: 7\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/3 in 1\/3, 1, 0, -8?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find h such that 2*h**2\/15 - 6\/5 = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1937036 (base 10) to base 2.\nAnswer: -111011000111010001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f + 9 = 1. Which is the closest to 4\/15?  (a) f  (b) 1\/5  (c) 1\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 13\/4 of a gram?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -249741576*c**2*i**2 - 2609299*c**2 + 3*i wrt i?\nAnswer: -499483152*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 4*y = -36, -11*y + 51 = 4*o - 10*y. Solve -b + 12 = 4*l, 8*l - 36 = 7*b - o*b for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h**7*h)\/(h\/(h\/h**(-1\/15))))\/(h**(1\/4))**8 assuming h is positive.\nAnswer: h**(91\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -9076 divided by 4538\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 3 + 4?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*s + 40*s - 10208. Calculate the greatest common divisor of 33 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k + 5 = 4*k, -4*y + 140 = 4*k. Let f be (-2)\/(-22)*32\/y. Let c = f - -18385\/1496. What is the common denominator of 21 and c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -261, -1037, -2321, -4107, -6389, -9161, -12417?\nAnswer: -16151","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -3, -90, 4, 6 in decreasing order.\nAnswer: 6, 4, 3, -3, -90","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 60 - 47. Suppose -177 = -s*j - 47. Solve x - j = -x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 21408?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -l**2 - 15 - 35*l - 4 + 19*l. List the prime factors of p(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = -3*u - 6. What is the third derivative of 3*k**2 - 5 + 1 - 4*k**u + 4 wrt k?\nAnswer: -24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of f**2*r**3 - 13*f**2 + 4*f*r**2 + 16555*r**4 - 113*r wrt r.\nAnswer: 6*f**2 + 397320*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y - 2 = -y. Let g = 21 + y. Suppose 4*k - 42 = -3*b, b = -2*k - b + g. List the prime factors of k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**2 - 12*z - 18. Let f = -151 + 89. Let w be f\/8 + (-1)\/4. Let r be q(w). What is the highest common divisor of r and 98?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*s - s + 0*s)*(2837*s - 1431*s - 39*s**3 - 1420*s).\nAnswer: 39*s**4 + 14*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -897975, -897979, -897983, -897987, -897991?\n\"Answer: -4*w - 897971","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 5*x + 24 = 3*u, -2*u + 10 = 0. Solve 0 + 9 = x*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = p**3 - 18*p**2 - 19*p + 1. Let f be i(19). Which is bigger: f or -23?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*w**2\/5 - 968*w + 585640 = 0. Calculate w.\nAnswer: 1210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 8*(2\/(-4))\/(-1). Suppose 0 = -g*x - 17 + 5. Let t(s) = 4*s - 5. Let a(r) = r - 1. Let n = 73 + -72. Calculate n*t(v) + x*a(v).\nAnswer: v - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = 13*n**2 + 5. Let w(u) = -7*u**2 - 3. Let y(h) = -2*b(h) - 5*w(h). What is the derivative of y(x) wrt x?\nAnswer: 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 z when four letters picked without replacement from {x: 4, z: 5, g: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 882.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 234 and 82?\nAnswer: 9594","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:51 PM and 12:50 AM?\nAnswer: 359","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-156)\/(-91)*(-1 + 8). Let q(p) = -p**2 + 9*p - 5. Let i be q(7). Suppose 0 = -i*s + u*s - 3. Let l(y) = -2*y - 1. Determine l(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 326319?\nAnswer: 3, 7, 41, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -16.555*0.01.\nAnswer: -0.16555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zr when two letters picked without replacement from rzn?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-2\/11))**43\/(t\/(t\/(t\/t**(1\/12)))*t*t\/(t\/(t**(-4)*t*t))) assuming t is positive.\nAnswer: t**(-1021\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -1, -29\/110, -5?\nAnswer: -29\/110","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.5096 < 6923?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -317, -635, -953, -1271?\n\"Answer: -318*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 784712 a multiple of 33?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 432631.6 millilitres in litres?\nAnswer: 432.6316","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 743.16305 - 859.163083. Let r = -116 - t. What is r rounded to six dps?\nAnswer: 0.000033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2.5663 and -0.05.\nAnswer: -0.128315","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-37)\/2 + 6630\/1020)\/((-9)\/30*-1)?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 4 divided by -94928\nAnswer: -1\/23732","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -199 - -86. Let s = q - -116. Which is the third smallest value?  (a) -1  (b) s  (c) 3\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -1582*d - 145558. Give l(-92).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*u + 10 = 2*u - 2*w, -w = -5*u - 10. Let y = u - -8. What is the remainder when 113 is divided by y\/(-15) - (-294)\/10?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -5278, -8142, -11006, -13870, -16734, -19598?\n\"Answer: -2864*j - 2414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out -47309140356 + 1.\nAnswer: -47309140355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of j**6\/60 - j**5\/20 + j**3\/3 + 11*j**2. Give t(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20423603 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 35, 54, 85, 128, 183, 250?\n\"Answer: 6*k**2 + k + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = t**3 - 6*t**2 - 5*t - 5. Suppose -5*b + 26 = -3*b + 4*u, -3*u + 44 = 5*b. Determine h(b).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -7*t - 29. Let n(a) = -a - 1. Determine -4*n(q) + y(q).\nAnswer: -3*q - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(h) = -22*h**3 - 1078*h**2 + 12*h + 207. Give u(-49).\nAnswer: -381","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.22 + 6.22. Which is bigger: 1\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*s + 9 = -2*o, 0 = -2*s - 107 + 117 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 13 - 6. Let x(s) = s**3 - 6*s**2 - 5*s + 8. Let o be x(a). What is the greatest common factor of 11 and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5015884 and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 383, 203, -279, -1213, -2749?\nAnswer: -5037","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10 - -8. Let b be (2 - 2)*(-2)\/a. Suppose 3*n - 5*w - 63 = b, 8*n + w - 105 = 3*n. Is 21 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0*t - 6*t + 29*t**4 + 11*t wrt t.\nAnswer: 348*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (((-4)\/24)\/(-1))\/(12\/(-54)). Which is the third smallest value?  (a) -1  (b) h  (c) 5  (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 83031950 to the nearest one hundred thousand.\nAnswer: 83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {k: 2, w: 4}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 20 - 20.27. Let r = -0.269993 - j. Round r to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 375 - 381. What is the common denominator of -85\/36 and l + 1496\/128 + -1?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10655 - -10657. What is the fifth biggest value in -4, g, 3, -1\/3, -30?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2336*w - 2335*w = -o + 25624, 3*o - 128124 = -5*w. List the prime factors of w.\nAnswer: 2, 3, 4271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 47 or 424\/9?\nAnswer: 424\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 6 = 2. Suppose 1 = y - 0*y. Calculate the highest common divisor of y and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (7\/2 + -3)*2. Let q = -25 + c. Let a = q + 36. What is the units digit of a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = 18*u - 190. Let z(n) = -n**3 - 25*n**2 + 23*n - 67. Let s be z(-26). Let t be r(s). Solve 3*b = -t*b + 33 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1005?\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1871606067 rounded to three decimal places?\nAnswer: -0.187","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/t**(-3))\/t*t\/t**(-4))**(-3\/4)\/((t**1*t)**(-33))**36 assuming t is positive.\nAnswer: t**(9477\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -7. Suppose t = 2*q - 4. Let l(x) = -2*x + 9. Let b be l(q). Which is smaller: -4\/3 or b?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 + 11 = b. Let i = -14 + b. Suppose i = -3*s + 6*s. Solve 0 = -y - v - 3*v - 17, v = -4*y + s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -0.7 + 1. Let h = p - 1.3. Let n = 12 + -10. Is n not equal to h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s**4 + 85585*s**3 + 0*s**4 - 87115*s**3 - 1533*s**2 = 0. What is s?\nAnswer: -1, 0, 511","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/80 and 5\/152096272.\nAnswer: 760481360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*i - 87 = 21. Suppose 44 = i*m - 34. Calculate the lowest common multiple of m and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**2*u**2*v**2 - 35*o**2*u*v**2 + 2*o**2*v**2 + 2*o*u*v + 59*u**2*v + 2*u*v**2 wrt u?\nAnswer: -2*o**2*v**2 + 118*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = f**2 - 19*f - 11. Calculate the remainder when 53 is divided by o(20).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 881562 is divided by 90.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 56\/2*17 + 2. Let s = f + -476. Let y(a) = a**3 - 2*a**2 - 3*a + 3. Calculate y(s).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(51) - -3*sqrt(255)\/sqrt(5))\/(2*sqrt(192)).\nAnswer: sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xnxxxxxxxxnxvvxznxx. Give prob of picking 1 n and 1 v.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + y + 28 - 11 = 0, 4*y = -m - 5. Let a(l) = -l**2 - l - 3. Let q be a(0). Let h = q - -12. Is h greater than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**2. Let b(k) = -2*k**2 - 8141362*k + 1. What is b(p(n))?\nAnswer: -2*n**4 - 8141362*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = q - 2. Let a be g(2). Let l be 1 + a - (4 + -5). What is the third derivative of -3*u**5 - u + u**l + u + u**5 wrt u?\nAnswer: -120*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -2*f**3 + 46*f**2 - 52*f + 55. Calculate m(22).\nAnswer: -121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 26573862, 53147721, 79721580?\n\"Answer: 26573859*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -10*x**3 - 3*x**2 + 6*x. Let v(j) = 19*j**3 + 5*j**2 - 12*j. Let r(h) = -5*i(h) - 3*v(h). Let y(d) = -20*d**3 + 17*d. Calculate 11*r(s) - 4*y(s).\nAnswer: 3*s**3 - 2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/5  (b) 0  (c) 6\/73  (d) 2\/3  (e) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2388737?\nAnswer: 13, 19, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 203664 and 72?\nAnswer: 610992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*t**2\/9 - 9128*t\/9 + 3044\/3 = 0.\nAnswer: -2283, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 72954?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2882764*x**3 + 416075*x wrt x.\nAnswer: 17296584*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from ooyyooyyfoyyyyyyyy.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 2*k - 164. Let t = -39 + k. Suppose -3*z**2 - 4*z**2 - 3*z**t - 24*z - 4 - z**2 = 0. What is z?\nAnswer: -2, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 49, -1, -153, -401, -739, -1161?\n\"Answer: c**3 - 57*c**2 + 114*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = -2*s - 9*s + s + 13 + 4. Is 12 a factor of o(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 5, 4, 101, -5 in increasing order.\nAnswer: -5, -0.1, 4, 5, 101","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (140\/7)\/10 + -7?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -43  (b) -2\/19  (c) 0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 + 10*u**2 - 5*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1*(-1 + 3 - 0). Let k(u) = -9*u**2 + 6*u - 5. Let t(j) = -4*j**2 + 3*j - 2. Let a(m) = r*k(m) + 5*t(m). Find the second derivative of a(w) wrt w.\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -8 smaller than -166619?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-three fifths of a litre in millilitres?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-2 - -1)\/(-1) - -1. Let w(a) = a + 2. Let p be w(1). Suppose -23 = l + 5*s, -3*l = -0*l - p*s - 21. Solve l = j*k - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:56 AM and 1:51 PM?\nAnswer: 295","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -10, 558, 1492, 2780, 4410, 6370, 8648?\nAnswer: 11232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4 + (4*(sqrt(91) - (sqrt(91) + -1*sqrt(91) - sqrt(91))) + sqrt(91) - sqrt(91) - sqrt(91))\/((sqrt(49)*1)\/sqrt(7)).\nAnswer: 4 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 213, -14, 273 in decreasing order.\nAnswer: 273, 213, -1, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) be the third derivative of -r**8\/112 - 4*r**7\/105 + 9*r**6\/20 + 5*r**5\/3 + 7*r**4\/8 - 10*r**3\/3 + 556*r**2 + 3. Solve i(q) = 0 for q.\nAnswer: -5, -1, 1\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 6*b. Let z(r) be the second derivative of -2*r**3\/3 + 35*r - 1. Let h(x) = -2*x. Let f(w) = -3*h(w) + 2*z(w). Determine f(c(o)).\nAnswer: -12*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-11)\/(-8)*(-15204)\/(-65703)\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 4*u + 468 = 2*y, -4*u - 332 = -2*y. Suppose -3*v = 2*d - 128 + 19, 0 = 3*d + v - y. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1338 - -3775. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -934\/9 - -104. Let n(l) = -2*l + 4. Let r be n(5). Let a be ((-5)\/15)\/(4\/r). Sort 0.3, t, a in decreasing order.\nAnswer: a, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 706212254?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -233*c + 1932 = -141*c. What is the lowest common multiple of 48 and c?\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 42056 and 120911?\nAnswer: 967288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 104*o - 1241. Let n be z(12). Let y(j) = j**2 - 6*j - 16. What is y(n)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/r**(-2))**(-2\/133))**(-27\/5)\/(r**(2\/13)*r**(1\/10)*r*r*(r*((r*r**0)\/r)\/r)\/r**(2\/23)) assuming r is positive.\nAnswer: r**(-764831\/397670)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4.06 + 0.06. Let o be (-1)\/4*16\/(-18). Let t = 35\/4 + -8. Which is the third smallest value?  (a) x  (b) t  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v = -4*h + 54, -h = -5*v - 115 - 2. Let a = v + 8. Is a greater than -15?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 2994, 11982, 26962, 47934, 74898?\n\"Answer: 2996*c**2 - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -30432155, -30432145, -30432121, -30432077, -30432007?\n\"Answer: g**3 + g**2 - 30432157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 6\/11, 2, 4\/99?\nAnswer: 4\/99","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) be the third derivative of 7*r**5\/30 - 2*r**2 - 251*r. Let x(p) = -5*p + 3*p + 3*p. Calculate q(x(m)).\nAnswer: 14*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-8))**17*(r**(-16\/7)\/r)\/r**(-7) assuming r is positive.\nAnswer: r**(-926\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 2166528.33 to the nearest one hundred.\nAnswer: 2166500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -129*y**3 - 21*y. Let t(k) = -26*k**3 - 4*k. Calculate 11*t(u) - 2*z(u).\nAnswer: -28*u**3 - 2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -10*l - 7. Let v be r(2). Let b = 49 + v. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110101 + 10010001?\nAnswer: -100100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -132 + -3055?\nAnswer: -3187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c + 6072 = 6080 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-3 - 2) - (9 - 16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.008391 rounded to four dps?\nAnswer: 0.0084","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 328792946\/11 or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10 is divided by 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((u + 4*u - 4*u)*(-2 - 4 + 4) - 4*u + 3*u + 4*u)*(140 - 52 + 12).\nAnswer: 100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4 - 7. Let l(z) = z**2 + 10*z - 26. Let k be l(2). Let x be (k + 3 + -2)\/(-4). Which is the closest to x?  (a) -0.5  (b) 0.5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34*i = -19*i - 1395. Calculate the remainder when 940 is divided by i.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = -2*l**2. Let f(c) be the second derivative of c**3\/6 - 5*c. What is f(n(m))?\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -67. Suppose 4*l - d = 2*l. Determine y so that l*y**2 - 10*y**2 - 10*y**2 = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69644117.\nAnswer: 41, 73, 23269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10 - 6*j**2 + 10 + (3*j**2 - 2*j**2 + 0*j**2)*(-2 + 5 - 1) to y*j + i*j**2 + f and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -4*n - 9. Solve 2*j - n = -i, 3*j - 2*i = -4*i + 6 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 604363 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -136*s**3 - s**2 + 23*s + 63. What is the thousands digit of i(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 192.087862 - -0.3.\nAnswer: 192.387862","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1247781 is divided by 24?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -252 divided by 252.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3200223 + 0?\nAnswer: 3200223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54*g - 6896 + 942 - 364 = 0. Solve g*q = 66*q + 61*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 2212.0000011592 - 2212. What is c rounded to 7 decimal places?\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 4*n. Let w be f(1). Suppose w*s - 7 + 19 = 0. Let h be (-6 + 6)\/8 - 4. Put s, -5, h in descending order.\nAnswer: s, h, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240*m = 58*m + 13953940. What is m rounded to the nearest 1000?\nAnswer: 77000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.7828583l to millilitres.\nAnswer: 782.8583","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (9 - 8 - 4)*(4*h - 2*h + 3*h)*(-14 - 2 + 7)*(2*h**2 - 2*h**2 - 2*h**2) to a*h**3 + u*h + c + z*h**2 and give a.\nAnswer: -270","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - 264 = -3*t - s, 4*t = -2*s + 264. Let l = t - 7. Calculate the remainder when l is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwkk when four letters picked without replacement from {k: 15, w: 3}?\nAnswer: 7\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -192*p**3 - 117*p**3 - 25*p**3.\nAnswer: -334*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, v: 1, k: 1}. What is prob of sequence vk?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*p**2\/5 + 194980*p + 28275464\/5.\nAnswer: -4*(p - 243754)*(p + 29)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.24 - -0.01. Let j = -1.55 + x. Let z = 1.2999999 + j. What is z rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 9. Let x = -4 - f. What is the nearest to x in -5, -0.1, -3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -25*z + 184 + 191 for z.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 31 + -34. What is the hundreds digit of 169 + (u - (-2)\/6*3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*m = -10. Let i(f) = f**2 + f + 6. Let g be i(0). Calculate the highest common divisor of m and g.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence naan when four letters picked without replacement from {a: 2, n: 18}?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 120169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 5\/1584 and -151\/1056.\nAnswer: 3168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 7, w: 5}. What is prob of sequence wnnw?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28.45 - -342.65. Let s = 314 - u. Which is the nearest to -1\/3?  (a) 3\/2  (b) -0.4  (c) 2  (d) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(245) - (-1 + sqrt(245))) + 3)**2 - (-5*sqrt(320) - sqrt(20))\/sqrt(4).\nAnswer: 16 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6980?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.1 take away -54.3120069?\nAnswer: 54.4120069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -181 - 1?\nAnswer: -182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 34463 and 841516?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 20986083.96 to the nearest 1000000.\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -197 + 316. Let b = -117314 - -469257\/4. Sort x, b, 2\/19.\nAnswer: 2\/19, b, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((1188\/(-33))\/(-216))\/(((-4)\/6)\/2)\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.2 + 0.8. Let k = -153.12 + 158. Let f = -0.12 - k. Which is the smallest value?  (a) i  (b) f  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 23053709292146873\/57698 + -399558204642. Let a = d + -1\/3394. Is a less than 11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-2)\/(-1) - -2) + -1. What are the prime factors of 2 + p + 2\/(-1) - -78?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**4\/5 + 3612*u**3\/5 + 1350018*u**2\/5 - 50712480*u + 1971216000.\nAnswer: 2*(u - 72)**2*(u + 975)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 + (-6 - (3 + -9)) + (-25 - 47).\nAnswer: -93","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (374\/1870)\/(8\/6 + -1).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from brrroiboiiii. Give prob of picking 2 b and 2 i.\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 10, 3188, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z**2 - 14*z - 24. Give d(7).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 18346.03ml in litres?\nAnswer: 18.34603","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = 17*r**2 - 23*r + 22. Let g be z(1). Let x(q) = 25*q**2 - 13*q - 61. Is x(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 111380 is divided by 158?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 AM and 3:37 PM?\nAnswer: 430","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 3. Let b be 58\/10 - 4\/(-20) - 0. What is the smallest value in 1\/2, v, b?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 30019.034 to the nearest ten thousand.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 222773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 32444 divided by 127?\nAnswer: 32444\/127","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 0*i + 4*d + 14 = 0, 3*d = -15. Let y be ((2 - (-4)\/(-3))*i)\/1. Solve -2*r - 8 = -4*k, 2*k - 2 = -r + y for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -83, -182, -293, -422, -575, -758, -977, -1238?\n\"Answer: -c**3 - 92*c + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 13175 (base 10) to base 11.\nAnswer: 9998","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((12 - (19 + 8)) + 8)\/(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-420)\/(-495))\/((-50)\/275)*(-78)\/7.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n**2 - 3*n + 2. Let h be i(3). Which is the closest to -3\/2?  (a) h  (b) -1  (c) -2\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 5 - 2 - 42*c + 40*c. Let q be (14 + -15)*(-8 - 0). Let x(g) = g - 1. Let v(d) = 5*d - 7. Let y(w) = -v(w) + 2*x(w). What is q*z(p) - 5*y(p)?\nAnswer: -p - 1","meta":{"dup_signals":{},"source":"polynomials__add_test"},"subset":"dm_maths"}
{"text":"Question: Express -u**2 - 9*u**3 + 7*u**3 - 15*u - 7*u**3 - 37 + 21 + 14 in the form y*u**2 + i*u + j + v*u**3 and give v.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*c*g*r - 38*c*g*u + c*r + 2*c + 35*g*u + 2*r**2 - 335*r*u with respect to r.\nAnswer: 4*c*g + c + 4*r - 335*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {k: 7, y: 2, h: 11}. Give prob of sequence kkyk.\nAnswer: 7\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -79 + 193. Suppose k = 6*g - 30. Suppose 3*m - g = -5*m. Is m < 22\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 182.82 rounded to 0 dps?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 4*y - 3*y)*(6 - 1 + 0)*(0 - y + 0).\nAnswer: -10*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -92*b - 122*b = 1070 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4 and 939332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*s**2 + 18995*s - 343530.\nAnswer: 5*(s - 18)*(s + 3817)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1771, 3539, 5311, 7087, 8867?\n\"Answer: 2*k**2 + 1762*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 0.6058549*0.06\nAnswer: 0.036351294","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = -1 - 10*m**2 - 2*m - 4 + 6*m**2. Let d(t) = 5*t**2 + 3*t + 5. Let b(y) = -6*a(y) - 5*d(y). What is b(-5)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.1 and -96.\nAnswer: 201.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 7066000 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 22\/5491 and -56\/2496093?\nAnswer: 47425767","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 + 0)*(31 + -301). What is the highest common divisor of 162 and y?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2\/13 - 1340*l\/13 + 1338\/13.\nAnswer: 2*(l - 669)*(l - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = r**2 + 1. Let b(f) = 5*f**2 + 20. What is 3*b(u) - 60*d(u)?\nAnswer: -45*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/(-18) + ((-28)\/36 - -1). Solve m*b - 5*b + 10 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3542054102.\nAnswer: 2, 1409, 1256939","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 323*n + 513*n**3 + 482*n**3 - 323*n.\nAnswer: 995*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 88503.25 millennia in decades?\nAnswer: 8850325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q**4 + 4*q**3\/11 + 6*q**2 + 32*q\/11 - 8\/11 = 0. Calculate q.\nAnswer: -1, 2\/11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.2 + -5.2. Let j = d + 3. Let x be -4 + (-264)\/(-68) + (0\/(-6))\/10. What is the closest to 1\/3 in x, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in l - l + 140 + 5*l**3 - 140.\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 g when two letters picked without replacement from zxvgxxxvgxggxvgx?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 366434173 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = 2*f - 9, 2*o - 2 = 2*f - 10. Suppose 5*d - 56 = 3*g - 5*g, 0 = f*d + 5*g - 26. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 x and 1 m when two letters picked without replacement from {x: 13, m: 3, d: 2}?\nAnswer: 13\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 345 + -152. Let v = c + -193. Solve 5*m + v*m = -20 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 3, 243, -2909 in increasing order.\nAnswer: -2909, -3, 3, 243","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r + 3. Let f be (1\/((-2)\/4))\/(-1). What is c(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 3*s + 300 = 0. Suppose 5 = 5*z - s. Suppose -4*v + 32 = 5*a, 2*a - 3 = v + 2. What is the smallest common multiple of v and z?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 10 = 2*b, -6*b - 2*i - 186 = 36*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -5. Let j be (1 + (-14)\/18)*9. Let o(n) = j - n - 13 + 10. Give 4*o(f) - w(f).\nAnswer: -4*f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c when three letters picked without replacement from {g: 6, c: 12}?\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**4 - w**3 + 1. Let r(t) = 2*t**4 + 3*t**3 + t**2 - 6. Let y(n) = -6*o(n) - r(n). Factor y(z).\nAnswer: z**2*(z + 1)*(4*z - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 2 e when three letters picked without replacement from pppzzpepppzzppzpepp.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -10*c**2 - 110*c + 11. Let t be r(-11). Sort 0, 4, t in decreasing order.\nAnswer: t, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 192?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 46171159?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2\/6569 - 558373\/26276. Calculate the common denominator of 11\/20 and a.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35419 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -5288000 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -3 - z + 10*z**3 - 15*z**3 + 4*z + 3*z**2. Let j(i) = -38*i**2 - 2 + 5*i**3 - 9*i**3 + 3*i + 40*i**2. Determine 3*j(g) - 2*k(g).\nAnswer: -2*g**3 + 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 73 + 121*v - 50 - 33.\nAnswer: 121*v - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6937*d**6 + 4*d**4 + 616*d**2 + 1999.\nAnswer: 832440*d**3 + 96*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-728)\/21)\/(344\/(-387))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2156 divided by -7\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10219, 10237, 10249, 10249, 10231?\nAnswer: 10189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.14 - 0.06. Let z = -56.36 + 56. Let c = z + 0.26. Sort -1, r, c, -0.06 in ascending order.\nAnswer: -1, r, c, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*l - 7 + 23. Let v = l + -4. What is the second derivative of v*g + 0*g**5 + 2*g**5 + 2*g wrt g?\nAnswer: 40*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 73 + -70 + -2 + 0 + -2?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 1 o when two letters picked without replacement from ooooooojoooooooooo.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = o**3 + o**2 - 2*o + 8. Give x(0).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -10 - -4143?\nAnswer: 4133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*o**3 - 9*o**3 - 15*o**3 + 4*o**3 + 8*o**3.\nAnswer: 9*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 2996407230 + -0.00998?\nAnswer: 2996407229.99002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s\/s**0)\/((s**(3\/5)*s)\/s) assuming s is positive.\nAnswer: s**(2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2 - 333599*u + 667202*u - u**2 - 333603*u.\nAnswer: -u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -594654 or 0.695?\nAnswer: 0.695","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*w = -3*w + 1320. Is w a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -6*q - 4. Give k(8).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 5265, 534, -7351, -18390, -32583?\n\"Answer: -1577*z**2 + 6842","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tds when three letters picked without replacement from uhtyshhthhtd?\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 22130569957 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12*(-3)\/189*-3.\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1345619544 a multiple of 2252?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1754 is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2\/(((-30)\/(-117))\/5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 4, -4, -60545, -5, -2 in descending order.\nAnswer: 4, 0, -2, -4, -5, -60545","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -411506.79 to the nearest one hundred.\nAnswer: -411500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -220*a**4*r*y + a**2*r**2*y + 6*a*y + a + r**2*y + 5*r*y wrt a.\nAnswer: -2640*a**2*r*y + 2*r**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:14 PM and 2:51 AM?\nAnswer: 517","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 95 = -2*v, -3*m - 60 = -0*v - v. Is v a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4*5\/(-480)*(-138)\/(-92)?\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 4*y + 26, -o + 6*y = y - 28. Suppose 4*m - 5 - o = 0. Solve u - 2*u + 7 = m*t, 0 = -3*u + 3 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ncocnocepcn. What is prob of picking 1 c and 1 o?\nAnswer: 8\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(s) = -19*s**5 - 66*s**4 - 59*s**3 + 19*s**2 - 5*s - 5. Let h(p) = 9*p**5 + 33*p**4 + 30*p**3 - 10*p**2 + 2*p + 2. Let m(j) = 5*h(j) + 2*v(j). Factor m(y).\nAnswer: y**2*(y + 2)*(y + 3)*(7*y - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -391*m - 346*m - 333*m - m**2 - 304*m + 1374*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -68573, -274340, -617295, -1097438, -1714769, -2469288?\n\"Answer: -68594*d**2 + 15*d + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1110101011010000010 - 101?\nAnswer: -1110101011010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 13*u + 2. Let t be ((-2)\/(-3))\/((-885)\/(-45) + -19). Determine m(t).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 467 + -234. List the prime factors of i.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 528 minutes before 7:44 AM?\nAnswer: 10:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -m*r - 333782590*m - 92456592*r**2 wrt r?\nAnswer: -m - 184913184*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 0 - 30*d + 22*d - 1 + 7*d.\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5)\/((-1460)\/(-12))*(-3)\/2*184\/(-414)?\nAnswer: -2\/73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 67149, 67604, 68841, 71250, 75221, 81144, 89409, 100406?\nAnswer: 114525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/(w*w**(-17)\/w)*w*w\/((w**3*w)\/w*w)*(w\/w**(3\/2))\/(w\/((w\/w**(2\/17))\/w)) assuming w is positive.\nAnswer: w**(489\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1681.975443 + -1685.975443212. Let r = u + 4. Round r to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -102, -153, -238, -357, -510, -697?\nAnswer: -918","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-3)\/6 - 18\/(-21)*77\/44. Is x greater than or equal to -3\/2021?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z + 189 - 221 = 0. Suppose 4*j - 392 = 4*r, 6*r - z*r - 496 = -5*j. Calculate the highest common factor of j and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 602*o + 61769 = -927*o - 205*o - 96025 for o.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Determine d so that -1\/6*d**2 + 5*d - 75\/2 = 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -176035, -175262, -174489?\nAnswer: -173716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 1, n: 1, k: 2, e: 1}. Give prob of picking 1 n and 1 k.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes before 2:19 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 16 = -6. Let z be 0\/(1\/2*c). Which is smaller: z or -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (25 - 25 - c**3)*(2*c - 2*c**2 - 2*c) - 2*c**5 + 5*c**5 - 2*c**5 - 7*c**5 + 6*c**5 + 10*c**5.\nAnswer: 12*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 11*r + 1. Let l(m) = 22*m + 2. What is -10*k(f) + 6*l(f)?\nAnswer: 22*f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -2*s + 7. Suppose 0 = -s*a + 18 + 6. Suppose 3*b - 12 = a. Solve 4*g = -u - 20, -g + b*u + 5 = -2*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 19283162 - 0?\nAnswer: 19283162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*z - 6*z + 3*i + 162, -4*z = -3*i - 318. What is the common denominator of -77\/18 and z\/28 - (3 - 1)?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = 6*g - 14. Let w(r) = r**2 - 7*r + 8. What is the lowest common multiple of w(7) and c(6)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 341892328?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 10 = -4*h + 6*u, 0 = -2*h - 3*u - 25 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 21083066 to the nearest integer?\nAnswer: 276","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 4\/2 + 6*1. Suppose 0 = r + 2, -3*g - 4*r = -s*g + 28. Which is the third smallest value?  (a) 3  (b) g  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = 2*p. Let x be n(1). Let q = x + 0. Suppose q*u + 8 = 20. Calculate the highest common divisor of u and 18.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15.9313 * -3779\nAnswer: 60204.3827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5949 divided by 3.\nAnswer: 1983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - -1 - (-2 + (-9 - -2))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1065811577 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**3 + 12*u**2 + u + 40. Let c be 28\/21*-9*1. Let b be m(c). Suppose 0 = -j + 102 + b. Is j a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2364131 plus 537.41?\nAnswer: 2364668.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*x - 125 = -11*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 48\/(-4) + 90694\/7613 + 3998\/(-46).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3977.6 + -3959.6984. Round o to 0 decimal places.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-4*m**3 + 0*m**3 + 2*m**3)*(-15*m - 6 + 6) + (-m**2 + 0*m**2 + 3*m**2)*(-2*m**2 + 1 - 1) in the form z*m**2 + k + v*m + o*m**4 + j*m**3 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -308 = 4*a - 0*t + 4*t, 3*t = 2*a + 179. Let c = -167 - a. Let r = -80 - c. Solve 0 - 5 = -u + 3*j, -5*j + 5 = -r*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -1062, -3819, -8278, -14427, -22254, -31747, -42894, -55683?\n\"Answer: 2*x**3 - 863*x**2 - 182*x - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {b: 7, t: 4}. Give prob of sequence bb.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 20 = -2*k, 4*k - 1 = o. Let h = -285 - -322. Suppose -o = -4*j + h. Which is bigger: 12 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4341453 * 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 388034 divided by -2\nAnswer: -194017","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4184.\nAnswer: 2, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5321761, 5321767, 5321777, 5321791?\n\"Answer: 2*p**2 + 5321759","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -112 - -62. Let z = -49.77 - y. Let b = z - 0.03. Round b to zero decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-190 - -12)\/(2\/(-4))*1. Calculate the highest common factor of d and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-5*sqrt(198))\/(sqrt(44) + sqrt(1100))*-5.\nAnswer: 125*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 98 at most 108?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 65*n - 17*n**3 - 249*n + 124*n + 60*n - 15*n**3.\nAnswer: -32*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 48.11121 centimeters to nanometers.\nAnswer: 481112100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 414 - 490. Let b(o) = -o**2 + 39*o - 32. Determine b(n).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -1366 + 1364. Which is the closest to 2?  (a) 0.3  (b) -1  (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = 7 - 7 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-15)\/(-6)*320\/400?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -8, 2\/11, 0, 0.4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 109\/3600 and -139\/120?\nAnswer: 3600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -35 + 37. Suppose 0 = -2*w + 2*y + 2, b*w - y = -w + 5. Let g(j) = j + 4. Let x(s) = -3*s - 9. Calculate w*x(p) + 5*g(p).\nAnswer: -p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2 - 27*c + 50.\nAnswer: (c - 25)*(c - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((sqrt(475) + 2 - sqrt(475))*6)**2 - sqrt(475)) + sqrt(475) - sqrt(475) - (5 + sqrt(475) + 1)**2)*-5.\nAnswer: 325*sqrt(19) + 1835","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 u, 2 x, and 1 m when four letters picked without replacement from {u: 2, k: 1, m: 2, x: 8, f: 2}.\nAnswer: 16\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -4 - 2*h + 3 + 5 + 13 + 4*h. Let f be x(-7). Let j(b) = 4*b**3 + b**2. Let s be j(1). Solve r + c = -f*c - 25, -s*r - c - 30 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = p**3 - p**2 - 3*p + 9. Let a be j(3). Let c be 0 + a\/15 + -1. Factor -1\/5 - 2\/5*s - c*s**2.\nAnswer: -(s + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1677562.536 to the nearest 1000.\nAnswer: -1678000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 42197 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 840 is divided by 111.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1791580 is divided by 447860?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 164691123?\nAnswer: 3, 54897041","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 7354 + -7429. Sort 2, o, -14.\nAnswer: o, -14, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/413 and 21\/34810.\nAnswer: 243670","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -119 + 278. What is the remainder when k is divided by 60?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 492 and 80084152.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -29 + 20 + 5*l**3 + 19 wrt l.\nAnswer: 15*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -6 + 8. Let w(j) = j - 1. Let r be w(1). Suppose -2*b + 12 = b. Solve -d*k = -r*k - b for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one twentieth of a centimeter?\nAnswer: 500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((243\/90)\/27)\/((-1)\/(-2))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1418 rounded to two dps?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x + 7*x = -2*f + 180, 2 = x. Suppose 0 = -2*l - u + 45, -6*u = 3*l - u - f. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7367299 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -24.3 - 23.5\nAnswer: -47.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:31 PM and 9:22 PM?\nAnswer: 111","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -9798 divided by -1633?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1802, 3595, 5388, 7181?\nAnswer: 8974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4*-2*8\/16.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = 2*j**2 + 3*j. Let t(r) = 7*r**2 - 27*r + 23*r - 10*r**2. Suppose v - 14 = -3*b, 2*v - 5 + 1 = 0. Determine b*g(y) + 3*t(y).\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1 - -79135) + -2 - 1. Suppose -s - 216869 = -2*z. Round z to the nearest ten thousand.\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 4*f - 2. Suppose -4*r + 4 = 0, -4*w + 3 = -3*r + 74. Let j = -11 - w. What is the remainder when 65 is divided by z(j)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1765 is divided by 52?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -13882.3442*-4\nAnswer: 55529.3768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 2*f**2 - 45*f + 34. Let p(t) = t**2 - 24*t + 18. Let b(m) = 11*p(m) - 6*s(m). Give b(3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -245914 and -245882 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v - 5*v + 5*v - 5*v.\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*w + 20*a = 22*a - 10, -3*w = 3*a for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, -3, 0, -10, 154, -0.31, 0.5 in descending order.\nAnswer: 154, 4, 0.5, 0, -0.31, -3, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2 + 4. Suppose -l = x*l. Suppose l = p - 22 - 13. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 4*i + 2. Give o(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10022021 - 10221?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h = -2*x - 4, -2*x + 40 = -7*h + 39 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 982542?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 123, 0, 12, 17 in increasing order.\nAnswer: 0, 4, 12, 17, 123","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11679*o**2 - 3*o - 48 + 3*o + 11745*o**2 - 23427*o**2.\nAnswer: -3*o**2 - 48","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 372 and 791771.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -882797, -882812, -882827, -882842, -882857, -882872?\nAnswer: -882887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4\/3*j**3 + 19\/3*j**2 + 0 + 5\/3*j.\nAnswer: -j*(j - 5)*(4*j + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m*m*(m**(2\/89)\/m)\/m)\/m*m*m)**(21\/5)\/(m**(-42)\/m)**7 assuming m is positive.\nAnswer: m**(135856\/445)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -w - 13. Let u be v(-9). Suppose l - j = -39, 3*l - j + 111 = -0*j. What is the units digit of (-46)\/u*l\/(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2480 (base 16) to base 7.\nAnswer: 36146","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 8225793337 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.04772 - 0.04769233. What is p rounded to six decimal places?\nAnswer: 0.000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 4, w: 2, s: 2, e: 4}. Give prob of picking 1 s and 1 w.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 363307 is divided by 54.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Convert -989 (base 10) to base 8.\nAnswer: -1735","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 376038272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 11000101101111011 (base 2) to base 15\nAnswer: 1eee8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u\/u**(-6)*u\/(u\/(u*u**(5\/2)*u))*(u\/(u**(-7)*u))\/u*(u\/(u\/(u*u*u\/(u**(1\/2)*u*u))))\/u assuming u is positive.\nAnswer: u**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 2878.809 millennia?\nAnswer: 2878809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -23 + -23 + 85 + -3.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) be the second derivative of -3*m**5\/40 - 7*m**4\/4 - 25*m**3\/4 - 9*m**2 + m + 5. Factor w(p).\nAnswer: -3*(p + 1)**2*(p + 12)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 56936.39km in centimeters?\nAnswer: 5693639000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -134, 1, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 164*m + 29316 - 24724 for m.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -6324963, -6324968, -6324973, -6324978, -6324983, -6324988?\n\"Answer: -5*c - 6324958","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6 a factor of 1875?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -18 - -18. Factor 0 + a*y**2 + 0*y + 1\/3*y**3 - 1\/3*y**4.\nAnswer: -y**3*(y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -42 - -83. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 4 - -4. Let d be -10*(1 - w\/4). Is 1946\/d + (-18)\/30 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6 - 45*d + 4 - 1 - 8 - 14*d.\nAnswer: -59*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(931))**2 + 2*sqrt(19)*1 + -3.\nAnswer: 2*sqrt(19) + 8376","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.5 and 0.35624782.\nAnswer: 0.85624782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 4. Suppose 0*n = -n - 3. Let t be p(n). Let i = -56.84 - -56.54. Put i, -3, t in descending order.\nAnswer: t, i, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1625157?\nAnswer: 3, 23, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 442?\nAnswer: 2, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.45 + -0.05. Let b = j - -0.1. Let p = 5890 - 5886. What is the second smallest value in p, 2, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 126 and 164262.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vtd when three letters picked without replacement from vdtdddmmdccmmtvtt?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-9)\/(27\/4)*66\/45 and 23\/145?\nAnswer: 1305","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c*c**(2\/5))\/(c\/((c*((c**6\/c*c)\/c)\/c*c)\/c)))\/((c*c**(-2\/3)\/c)\/c*c)**41)**13 assuming c is positive.\nAnswer: c**(6383\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -11?  (a) -1  (b) 2\/17  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-54)\/18)\/((-6)\/142). Find the second derivative of -6 - 17*l + 35*l + u*l**2 - 1 - 11*l wrt l.\nAnswer: 142","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -42 - -43. Suppose -34*t = 4*z - 32*t - 34, -12 = -2*z - 2*t. Solve 0 = 6*i + u + z for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 10165 and 642.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -24 - (-13 + -6) - (11 + -1)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 24*f**2 + 95. Let h(i) = 2*i. Calculate c(h(l)).\nAnswer: 96*l**2 + 95","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 22.4 and 0.37?\nAnswer: 8.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -416 = -12*a + 8*a. Suppose -985 - a = -3*d. What is the units digit of d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -82*x + 3999. Give i(47).\nAnswer: 145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 920 or 0.0741?\nAnswer: 0.0741","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2392947, 4785870, 7178793, 9571716, 11964639?\n\"Answer: 2392923*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -218 - -276.5. Let b = g - 50.1. What is b rounded to 0 decimal places?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3114 and 438?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4911812.\nAnswer: 2, 1009, 1217","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -89, -159, -245, -347, -465, -599?\n\"Answer: -8*y**2 - 46*y - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence sj when two letters picked without replacement from {a: 1, j: 1, r: 2, s: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 + 84*j**2 - 83*j + 179. Give m(-85).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 302 minutes before 1:32 AM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence wmwo when four letters picked without replacement from {w: 2, o: 1, m: 1, x: 4, r: 2, h: 4}.\nAnswer: 1\/12012","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 342 = -1804*y - 19502 for y.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 - -1 - ((3 - 2) + -12).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence er when two letters picked without replacement from {e: 6, r: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (12\/20)\/((-27)\/(-90)). Suppose -5*t = 15, x + 7*t - c*t = 1. Does 4 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 7*c**2 + 8*c + 4. Let a(h) = 15*h**2 + 18*h + 10. Let f(k) = -2*a(k) + 5*s(k). Let j(q) = -9*q**2 - 9*q. Determine 9*f(o) + 4*j(o).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2 - (-84 + -6)) + -88 + 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1\/59 - -55\/236. Let o(s) = s**2 - s - 2. Let r be o(2). Suppose 4*h = -5*q - 22 - 10, -2*q - 5*h - 23 = r. Sort z, -4\/7, q in increasing order.\nAnswer: q, -4\/7, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160860?\nAnswer: 2, 3, 5, 7, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -0.1, 2\/5, -11, 147, 3, 0.15?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) be the third derivative of -f**8\/252 + 4*f**7\/315 - f**6\/90 - 2*f**2 + 34*f. Determine u so that a(u) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7801.667539 - 2.9403?\nAnswer: 7798.727239","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -83*c - 13 = a - 47*c - 40*c, 0 = -3*a - c for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (476\/245 + -2)*5 + (-962)\/(-2730).\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 29 - (-2 + (-12)\/(-3)). Suppose 0*s - 9 = -s. Calculate the greatest common divisor of s and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -408 + 383. What is the thousands digit of y\/((-75)\/1662)*5\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-108)\/396*11*18\/9.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -64 + 0*v - v + 64. Let j(a) = 157*a**2. Calculate j(l(x)).\nAnswer: 157*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:08 AM and 4:07 PM?\nAnswer: 419","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p + 24 = -66. Let f = 36 + 9. What is the greatest common factor of f and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the second derivative of -3*x**4\/2 - 11*x**2\/2 + 7*x. What is the first derivative of p(z) wrt z?\nAnswer: -36*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1 or 5642842.46?\nAnswer: 5642842.46","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a milligram in micrograms?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2012 + 2042. Suppose -13 - 12 = 5*q. Let a be (-1)\/q*y\/(-12). Sort 2, a, -4 in increasing order.\nAnswer: -4, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1425 is divided by 294?\nAnswer: 249","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = -v**3 + 138*v**2 + 539*v + 3540. What is t(142)?\nAnswer: -578","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.04, 1\/64, 4 in descending order.\nAnswer: 4, 0.04, 1\/64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.1505, 1, -14, -5, -3\/4?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 117491118, 117491115, 117491112, 117491109, 117491106, 117491103?\nAnswer: 117491100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l**(4\/11)\/l)*l))\/(l*l**(2\/31)\/l*l) assuming l is positive.\nAnswer: l**(-921\/341)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 20631 and 39.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 3\/(((-18)\/4)\/(195\/(-26)))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of 0*g**4 - 7\/3*g**3 + 0*g - 1 + 0*g**2 + 17\/5*g**5. Find the third derivative of k(q) wrt q.\nAnswer: 408*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b + b**4 - 5 + 5 + 3*b**2 to r*b + m*b**4 + z*b**2 + t*b**3 + f and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1573?\nAnswer: 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*x + 9*x + 11*x - 7*x - 328*x**2.\nAnswer: -328*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -116 + 119. Suppose -i + 125 = 3*n, -n - c*i + 63 = -8*i. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1795 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 362279201?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 701011 (base 8) in base 9?\nAnswer: 380321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*n*v**2*z**2 - 2*n*v**2 - 612*n*v + 245*v**2*z - v*z - 2*z**2 wrt v.\nAnswer: -6*n*z**2 - 4*n + 490*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*sqrt(68)*-3 + (sqrt(68) - ((3*sqrt(68) - sqrt(68)) + sqrt(68))*-6))\/((sqrt(20)*-2)\/sqrt(5)*2).\nAnswer: -11*sqrt(17)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = -y**2 + 56*y + 75. What is the units digit of c(25)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 30588 - 153484\/5. Which is bigger: -110 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -186.5 + 209. Let g = 23.5 - n. What is the second biggest value in -62, -0.4, g?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -109387793 bigger than -109387793?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 - 1 - 12*l + 8.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 39277246?\nAnswer: 2, 2237, 8779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17383472 is divided by 17383445?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1990 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -17, -1\/4, 28, 258 in decreasing order.\nAnswer: 258, 28, -1\/4, -4, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6171) + 2*sqrt(6171)*-3)\/(2*sqrt(3)*1*-4).\nAnswer: 55*sqrt(17)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 8874?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -5*w**2 - 1201*w - 4729. What is c(-4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -24 + 2c4?\nAnswer: 2a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (39\/15 - 42\/70)*-1. Which is the closest to -15?  (a) z  (b) 1  (c) -4  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 11 - 5. Suppose -l + 9 = -4*b, -3*l + b + t = -10. Solve -l*w + 25 = -0*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**29)**(2\/15) assuming h is positive.\nAnswer: h**(58\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -22941.19826 + 22941. Let s = j - -0.2. Round s to four dps.\nAnswer: 0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1)\/1*89)\/1. Let z = -137 - d. Let q = -44 - z. Solve l + 3 = q*l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51792028 a multiple of 2226?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 489\/6 - (-7)\/(-56)*-4. Put i, -1, 3 in decreasing order.\nAnswer: i, 3, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 - 88*s**2 + 28*s + 5157. Give f(87).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*z**3 - 88251*z**2 - 81000480*z + 233606400 = 0. What is z?\nAnswer: -1840, 23\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c + 24 = c. Let m be 50\/40*-4*6. Let j = m - c. Let k(s) = 4*s - 4. Let q(o) = -3*o + 3. Calculate j*q(n) - 5*k(n).\nAnswer: -2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*o - 1380 + 288 = 0. Let m = o + 545\/3. Let u = -0.1 + 0. Put u, 2, m, 2\/5 in descending order.\nAnswer: 2, 2\/5, u, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 67\/12120 and -79\/10.\nAnswer: 12120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 2641949 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 3*o = 299979, 7*b - 299987 = 4*b - 5*o. Suppose -i + s = 100002, -b = -2*i + 3*i + 3*s. Round i to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.065 + -2.965. Let q = x - -6.3. Let l = -2 + q. Round l to 1 decimal place.\nAnswer: 1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (5\/3)\/((-1883)\/189 + 10) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*j**2 - 4*j**2 + 0 + 64*j**4 - 62*j**4 - 1 + 3*j to c*j + f*j**4 + l*j**3 + r + q*j**2 and give r.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 18 + (-4 + -3 - 12) + 1 + -14?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 12284697 to the nearest integer?\nAnswer: 231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 22. Suppose 11*f = 10*f + w. Solve 0 = o + 4*z + 19, 4*o - f = -2*z + 6*z for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1255338996 to the nearest integer?\nAnswer: 35431","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put -190, -5, 1.7, 0 in increasing order.\nAnswer: -190, -5, 0, 1.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c = 2, -48 = 5*x - x + 4*c. Let i be ((-1)\/(-2))\/(1\/x). Let h(j) = 6*j - 2 - 2 + 5 + j**2. Determine h(i).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19 a factor of 20704?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 182 divide 1\/(2\/(-4500))*45\/(1710\/(-551))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 757757 is divided by 153?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02770374 to 3 dps.\nAnswer: 0.028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) be the first derivative of -x**4\/4 - 5*x**3\/3 + 3*x**2 - 3*x + 3. Calculate u(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -96700 to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 9 = -444*j + 449*j, -4*j = 4*i + 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -b**4\/2 - 97*b**3 - 6336*b**2 - 143360*b - 262144.\nAnswer: -(b + 2)*(b + 64)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*z - 2*i = 33*z - 117, z + 357*i - 355*i - 63 = 0 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -6*l**2 + l**2 - 4*l - 3*l**2 - 4*l**3 + 0*l.\nAnswer: -4*l*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2763?\nAnswer: 3, 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 36 times 0.2?\nAnswer: 7.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 553 minutes after 3:21 PM?\nAnswer: 12:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 37*i**2 + 1148*i + 6724. Let v(r) = 144*r**2 + 4592*r + 26896. Let l(n) = -26*s(n) + 6*v(n). Let l(a) = 0. Calculate a.\nAnswer: -82\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, 2, -4, -3, -3504 in decreasing order.\nAnswer: 2, -1, -2, -3, -4, -3504","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 108 + -103. Suppose 5*u + 4*b = 1 - 9, n*b - 11 = -u. Let v(o) = o**3 + 4*o**2 - 5*o. What is v(u)?\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 2 + 32*c**2 - 22 + 4.\nAnswer: 32*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w**3 + 5*w**2 - w - 3. Let f be y(3). What is the tens digit of 2\/(-2 - f\/(-58))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 348607*k**4 + 15*k + 25721022 wrt k.\nAnswer: 1394428*k**3 + 15","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = j + 5*l + 20, 0 = -5*j - 4*l - 16 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1261484, 2 in decreasing order.\nAnswer: 1261484, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.02871 plus -126?\nAnswer: -126.02871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*t**3 + t**3 - 18461 + 18461.\nAnswer: -3*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(-1\/3))**(-25))**(-7) assuming q is positive.\nAnswer: q**(-175\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3525663322?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 8, l: 2}. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4, 13, 58, 143, 280, 481, 758?\nAnswer: 1123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Add together -5 and -8.439189.\nAnswer: -13.439189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1208159 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 128682199 a multiple of 4309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = -5*l**2 + 2 + l**2 + 0*l**3 - l**2 - l**3. Let o be y(-5). Suppose -3*w + 65 = o*w. Solve 0*h - 2*q = 3*h + w, -4*q = -5*h + 15 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/3 - 40\/(-6). Let j = c + -4. Suppose -3*q + 0*q = v - 25, -j*v - 9 = -3*q. What is the units digit of q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = 59*l**2 + 255*l - 497. What is v(-5)?\nAnswer: -297","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (12\/9)\/(72\/(-9))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10219.\nAnswer: 11, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -6, 3, -96\/11?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 1864011 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5947.48 millilitres in litres?\nAnswer: 5.94748","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.10715 + -35.89285. Which is smaller: 6\/19 or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 26000 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 30865325?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 14839?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/(-25)*-1)\/((-6)\/(-15)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -218473 - -1968343\/9. Let m = 232 - s. Suppose -8 = 2*l - 0*a + 4*a, 5*a + 15 = 0. Sort l, -2, m in ascending order.\nAnswer: -2, m, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6.4, 1\/6, 20964, 0.02 in increasing order.\nAnswer: -6.4, 0.02, 1\/6, 20964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 5 = 0, -5*j = 3*u - u. Is 5 a factor of (-847)\/(-49) + j\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) be the second derivative of d**8\/3360 + d**7\/420 + d**6\/144 + d**5\/120 + 9*d**3\/2 - 5*d. Let a(b) be the second derivative of t(b). Factor a(g).\nAnswer: g*(g + 1)**2*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -150.47 - -150.47. Let k = -4.4 + 2. Let f = k + 2. Which is the second smallest value?  (a) f  (b) 1\/4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 160484693?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 13235 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b\/((b**(3\/2)*b)\/b)*b*b)\/b*b\/((b*b\/(b*b**(2\/3)))\/b)*b**(-2)\/b**(1\/2) assuming b is positive.\nAnswer: b**(2\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*f + 30. Let d(y) = -11*y**3 - 9. Suppose 5*j + 20 = 0, t - j + 46 = 6*t. Let v(h) = 4 + t*h**2 - 10*h**2 + 5*h**3. What is f*v(a) - 4*d(a)?\nAnswer: -a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i - 332 = -7*i. Let n be 1 - -3 - -1 - 57. What is the remainder when i is divided by (-39)\/n*(28 + 2 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23 - 2259 - 3071 = -87*p for p.\nAnswer: 61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3282 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 163 - 127 - (-2 + 1 + 4 + (-13 - -1)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 45 + 622775?\nAnswer: 623042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00142003 to four dps.\nAnswer: 0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 15 = 6*b. Let r be -2*(-3 + b\/(-1)). Suppose r*f = -3*h + 123, -2*h - 2*f + 82 = f. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let p(z) be the third derivative of 53\/15*z**5 + 7 - 2\/5*z**7 + 1\/60*z**6 + z**2 + 0*z + 1\/3*z**3 + 0*z**4. Find the third derivative of p(k) wrt k.\nAnswer: -2016*k + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 446 or 444?\nAnswer: 446","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-13)\/(-2) - 145\/174 - (33 + -28)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g - 2*q - 8 = -18, 24 = -4*g + 5*q for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 950?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 31a (base 13) to base 5\nAnswer: 4110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 57, 51, 35, 3, -51?\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11*n - 281 + 281)*(0*n**4 + n**4 - n**3 + 0*n**4) - 38*n**5 + 4*n**5 + n**5.\nAnswer: -22*n**5 - 11*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = -h**2 + 3*h + 158. Calculate l(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -32 + 17. Let x be 58\/6 + (-5)\/r. Let l be (0 + (-2)\/(-4))*x. Let z(p) = p**3 - 6*p**2 + 3*p + 4. Determine z(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r = -2*o - 8, 3*r = 3*o - 2*o + 6. Suppose 0*s - 15 = -3*s. Suppose 0 = -2*f - 2*a + 8, -3*f - s*a + 13 = -1. Solve f*u = r - 10 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -27741 + 28019.62. Round u to the nearest integer.\nAnswer: 279","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -820579\/210 - -19517\/5. What is the common denominator of x and 11\/10?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -1  (b) -3  (c) -7\/8  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 58 - 65 - (1 + -3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 5*v - 4*v = 3215, 2*v - 3215 = -5*d. Suppose 2*q - 963 = -d. Let m = -21 + 43. What is the least common multiple of m and q?\nAnswer: 1760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 27181648?\nAnswer: 2, 13, 130681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 578166981 and 63?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - (2 + (-5 - -6)) - -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (4\/16 - (-47)\/4)\/(-1). Let r = 63 - p. Is 14 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 34 - 30.2. Let f = 0.2 + j. Let p be (-6)\/15 - (-16)\/(-60). What is the third biggest value in -0.2, f, p, -5?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 17 + -11. Let t be -50*(1*3 + 54\/(-12)). Let l = t - 72. Calculate the greatest common divisor of w and l.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2948656 is divided by 194.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/(x**(-2\/35)\/x))**(10\/11) assuming x is positive.\nAnswer: x**(144\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -110334 - -2001?\nAnswer: -103333","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 481755322 to the nearest integer?\nAnswer: 21949","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 109609 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2496 = 8*x - 56*x. Calculate the lowest common multiple of x and 12.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -10 + 134. What are the prime factors of f?\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38398740 divided by 3?\nAnswer: 12799580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-114)\/234 + (-4)\/(-26). Let b = -85\/2 - -44. What is the nearest to c in b, -5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (3\/2)\/(6\/136). Suppose b = 5*y - 26. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of g**7\/10 - 8*g**6\/25 - 27*g**5\/20 - 7*g**4\/10 + 4*g**3\/5 - 4*g. Determine q, given that u(q) = 0.\nAnswer: -1, 0, 2\/7, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 60 - 96. Let w be 4\/(-6)*q\/(-96). Sort -1\/11, -0.5, w, 1\/3 in ascending order.\nAnswer: -0.5, w, -1\/11, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dcdddddcdddcddd. What is prob of sequence dcdc?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 31221001030 (base 4) in base 7?\nAnswer: 42252214","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -5805b0 + 20?\nAnswer: -580590","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24582 is divided by 738.\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4*10\/24*6. Suppose -13*f + h*f = -3843. Let c = -25281 + f. Round c to the nearest ten thousand.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 1, o: 2, w: 4, c: 1, t: 2}. What is prob of picking 3 w?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -521*k - 4*l - 11 = -524*k, -2*k - 4*l = -14 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 341 minutes after 4:01 AM?\nAnswer: 9:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 17597088 divided by 70956.\nAnswer: 248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (10\/(-14))\/((56304\/483)\/68)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in 5, -100, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*r + 32 = 2*w, 2*w - 3*r - 38 = -3*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -9 + 8. Suppose m = -3*m + 8. Suppose -3*h = 3*z - z + 13, z = -5*h - 10. Put z, m, d in decreasing order.\nAnswer: m, d, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = 223*z - 21852. Let o be b(98). Let k = -32 - -65\/2. Which is smaller: o or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11235)\/357 - -4) + (-16 - -44).\nAnswer: 9\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 16 + -79\/5. Factor 0 + 1\/5*l - 1\/5*l**3 + g*l**2 - 1\/5*l**4.\nAnswer: -l*(l - 1)*(l + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -6364 - -6365. Put 3, -261, b, 3\/8 in descending order.\nAnswer: 3, b, 3\/8, -261","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*a - 517458 = 1965542. Round a to the nearest ten thousand.\nAnswer: 190000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 17 and -2367.\nAnswer: -40239","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*f - 14 = -13*f. Which is bigger: -1 or f?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 46028 by -3744.\nAnswer: -11507\/936","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -410, 1, 4, 32 in ascending order.\nAnswer: -410, 1, 4, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -x**2 + 2589*x + 725220 = 0.\nAnswer: -255, 2844","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9*p - 7583184 - 7583203 + 15166390.\nAnswer: 9*p + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(4\/3)*m)\/((m**4\/m)\/m) assuming m is positive.\nAnswer: m**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 8 = -2*t. Suppose -2*d = -t*d + 6. Solve d*s = s - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2791 + j + 2791 + 0*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(sqrt(68)*-1 + sqrt(68)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 - 8 + 9)*(0*m - 3*m + 2*m)*(9 - 8 + 25) in the form r*m + q and give r.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = -1 - 4 + 2*n - 3. Let f be g(4). Solve 2*q + 2 - 6 = f for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or -1\/27990035?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 38190 and 58290?\nAnswer: 1107510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 65 divide 1477999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00216489 to three decimal places.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -100.9 + 97. Let q = -4 - i. What is the smallest value in q, 2, 12\/7?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -588*x = -624*x + 108. Solve 3*k = 2*j - 2, k = j - 4*j + x for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 0 + (-2 - -2) + 1. Let i = -592 - -596. What is the closest to 1\/3 in x, -4\/5, i?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 299241.8 rounded to the nearest 10000?\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2 - 5*x**2 - 2*x**6 + 0 + 2 wrt x.\nAnswer: -240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -57 - -39. Calculate the remainder when 46 is divided by 1\/1*-2 - l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -32 + 142. What is the units digit of c?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.5, -3, -1\/5, 25, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.35 + -0.45. Suppose -4*w - 44 + 0 = 0. Let j = w - -7. Which is the nearest to f?  (a) -4\/3  (b) j  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -4*j**2\/5 - 68*j\/5 = 0?\nAnswer: -17, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4\/7 of a week in minutes?\nAnswer: 5760","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1523227443?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Are -436331 and -1745321\/4 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve 438 = 33*q - 426 + 336 for q.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 5*v + 8 = 0, 2*w + 4*v + 4 = 3*v. Let t be (1 - 0) + 4 + w. Suppose 53 = -t*o + 2*f + 149, 5*o - 5*f = 120. Is 12 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 20*i + 60. Calculate the remainder when 958 is divided by y(3).\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 884525 to the nearest integer?\nAnswer: 940","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 511.8, 3, -5\/7, 0.3, -0.5?\nAnswer: 511.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 327553 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*m - 5*m + 3383895 = 3385136 for m.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -46\/147 and (8 + (-2 - (-1278)\/(-56)))\/((-36)\/(-1))?\nAnswer: 2352","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 19\/7 - 81\/35. Let q = 85 + -87. Which is the third smallest value?  (a) -0.19  (b) q  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8607846, 8607848, 8607848, 8607846, 8607842?\nAnswer: 8607836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f**2 + 4*f + 2. Let w be b(-2). Let h be -2 + 1 + w + 3. Let u = -1 - -1. What is the nearest to u in -1\/3, h, 4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 303387753?\nAnswer: 3, 37, 1279, 2137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 258*x - 13*x - 56*x + 136*x.\nAnswer: 325*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 6 - 3)*(3*f**2 + 3*f**2 - 7*f**2)*(-5*f + 3*f + 3*f) to w*f**3 + n*f**2 + z*f + u and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1352 - 1352. Is -645 greater than or equal to i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 2 m when three letters picked without replacement from {s: 4, m: 2, k: 6}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000001710323 rounded to 7 dps?\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56 = -2*c + 4*a, -5*c = -4*c + 3*a + 23. Let r = c - -31. Solve -r*p + 3*j - 6*j - 14 = 0, -5*j = -5*p - 30 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 560958*m - 328064?\nAnswer: 560958","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 0 + ((-42)\/224)\/(204\/16). What is the second biggest value in 5, t, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -117037, -115300, -113563, -111826, -110089, -108352?\n\"Answer: 1737*l - 118774","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2174 (base 8) in base 5?\nAnswer: 14043","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -10604, -21185, -31750, -42293, -52808?\n\"Answer: b**3 + 2*b**2 - 10594*b - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -4  (b) 176  (c) -2\/11  (d) 3  (e) -379\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/4)\/((-9)\/(-7) - (-6164)\/(-1876))?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*v**3 + 2*v**3 - 2*v**3 + v**3 - 588*v + 217*v**4 + 727*v wrt v.\nAnswer: 2604*v**2 - 6*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 50 = -3*w + 10, -2*w - 80 = -4*b. Let k = b + -7. Calculate the remainder when 43 is divided by k.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 370.0119 - 0.0119. Let g = c - 351.7. Let a = g - 17.53. Round a to 1 decimal place.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -310 + 5?\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 87*l**2 + 8*l**3 + 81*l**2 - 166*l**2 + 5*l**3 - 3*l**3 + 0*l**3 + (4*l - l - 4*l)*(4*l - 2*l**2 - 4*l) as k*l**3 + s*l + u + r*l**2 and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify t**(-20)\/t**(-11) assuming t is positive.\nAnswer: t**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/5 in 4, 2\/5, 0.03223, -38?\nAnswer: 0.03223","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -510*h = -503*h - 6575*h + 329*h - 199648 for h.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1633 + 1616. Let y(n) be the first derivative of n**3\/3 + 6*n**2 + 5*n - 2. List the prime factors of y(x).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 86305166*w**2 - 5446980 wrt w?\nAnswer: 172610332*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -147, -195, -273, -381, -519?\n\"Answer: -15*g**2 - 3*g - 129","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -5*(-2 + 55\/25). Let y(f) = 88*f**2 + f + 2. What is the tens digit of y(m)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*l - 30*l = -1111. What are the prime factors of l?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 14993 - 14785. Calculate the least common multiple of b and 1184.\nAnswer: 15392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 25 - 92. Is h\/2*(-10)\/5 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*n + 188*n - 21774 = -242*n + 44*n for n.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 797427, -3\/4, -0.9 in descending order.\nAnswer: 797427, -3\/4, -0.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 400?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2604133818 to the nearest integer?\nAnswer: 1376","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*s - 2 + 2)*(-1 - 3 + 2 + (1 - 2 - 1)*(-1 + 1 + 1))*(26 - 4*s - 26).\nAnswer: -80*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*o + 2 = -33. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6016.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 7, i: 6}. Give prob of picking 4 i.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = m**2 + 4*m + 3. Let g be t(-2). Let p = g + 10. Suppose q = -2*d + 41, p*d - 35 = -q + 4*d. Does 16 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1030 = -14*p + 146. Is p a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19 + -17. Suppose -26 = -o*c + 16. What are the prime factors of c?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -r + r**2 + 121661713*r**3 - 121661713*r**3 - 3032*r**4 in the form p + d*r + f*r**4 + n*r**2 + m*r**3 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 10, y: 4}. Give prob of sequence oyo.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -235 (base 9) to base 4\nAnswer: -3002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the second derivative of 7*o**6\/30 + o**3\/6 + 27*o**2\/2 - 129*o. What is the derivative of y(g) wrt g?\nAnswer: 28*g**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4*sqrt(204) + sqrt(204)) - 2*sqrt(204)*2)\/((2*(sqrt(144) - sqrt(144)*2) + sqrt(144))\/(2*(1*sqrt(12) + sqrt(12)))).\nAnswer: -44*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -14 - -16. Suppose 0 = -b*g - 8 - 18. Is -14 equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -w + 8. Let o be y(5). Suppose 66 = 3*x + 2*f, -4*x + 81 = -0*x + 5*f. Suppose x = 7*t - 9*t. Sort 2, o, t in increasing order.\nAnswer: t, 2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -7*d + 43 - 8. Suppose -d*s + 10783 = -1582. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -80861, -161728, -242595, -323462, -404329, -485196?\n\"Answer: -80867*o + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (7*(-2760)\/322)\/(-27)\nAnswer: 20\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 46601 greater than 46597?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2\/5, 3, 0.2 in descending order.\nAnswer: 3, 0.2, -2\/5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8353\/1122 + 280\/51. Let l = k + -647\/198. Calculate the common denominator of l and 31\/3.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (1*sqrt(171) + sqrt(171))**2.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4*(-31)\/744)\/(8\/12)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -10*u**3 - 2*u**2 - 3*u - 2. Let f(r) = -9*r**3 - 2*r**2 - 2*r - 2. Let j(c) = -6*f(c) + 5*g(c). Is 12 a factor of j(2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -11. Suppose 8 = -i + d*i. Suppose 0*w + 4 = -3*q - w, -4*w = -i*q - 16. Let s(f) = f**3 + 3*f**2. Calculate s(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 890.608mg?\nAnswer: 0.000000890608","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 47 = 2*w, w = f + 2*w - 15. Suppose 0 = -f*a + 10*a + 28. Calculate the least common multiple of a and 5.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*n**2*w**4 - 2*n**2*w**2 - 346*w**5 + 189*w**2 wrt w?\nAnswer: 72*n**2*w - 20760*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6204174?\nAnswer: 2, 3, 1034029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 4, -z + 0*x + 4*x = -10. Is 12 at least as big as z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence txt when three letters picked without replacement from mttqtxm.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 969 and 323.\nAnswer: 969","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 6\/526481  (c) 1\/19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 354 is divided by 71.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 18011221726 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the third derivative of 38*d**7\/21 + 821*d**3\/6 - 210*d**2. Find the first derivative of y(q) wrt q.\nAnswer: 1520*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.6541661 kilometers to millimeters.\nAnswer: 654166.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 311*r**2 - 16*r + 11*r - 671*r**2 + 5*r + 364*r**2.\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 949*f = 935*f - 98. Let v(u) be the first derivative of u**2\/2 + 4*u - 7. Calculate v(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4488 divided by 1496?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 1097880 a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -f - 3*o - 31, -5*f + 5*o = 15. Let w(j) = -252*j**2 + 322*j - 59. Calculate the lowest common multiple of w(1) and 2\/f - (-282)\/8.\nAnswer: 385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-2)*-7*1170\/(-945)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -51, -104, -157, -210?\nAnswer: -263","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + sqrt(2))*-5 + sqrt(500)\/sqrt(10))*-1 + (sqrt(108)\/sqrt(6) - sqrt(2) - (-1 + sqrt(18))).\nAnswer: -sqrt(2) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 189965109 to the power of 1\/2, to the nearest integer?\nAnswer: 13783","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62 - 121 - 13640*x + 59.\nAnswer: -13640*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 598500 rounded to the nearest ten thousand?\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 340129462 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -3*n + 4. Let o(u) be the first derivative of 2*u**2 - 6*u - 45. What is 7*d(w) + 5*o(w)?\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = -37*r + 5. Let x(t) = 110*t - 14. Give -11*m(p) - 4*x(p).\nAnswer: -33*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 230732.3 rounded to the nearest one thousand?\nAnswer: 231000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2)*(4*z**2 - 2*z**4 - 4*z**2) + z**4 + 3*z**4 - 5*z**4 - 5*z**4 + 13*z**4 - 2*z**4 to the form s*z**3 + o*z**4 + y*z + n + l*z**2 and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(225)*-3 - (sqrt(2025) + -2*sqrt(2025) - sqrt(25)))\/(sqrt(125) + 1*sqrt(125) - -3*sqrt(605)).\nAnswer: sqrt(5)\/43","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 20510215, 41020430, 61530645?\n\"Answer: 20510215*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1226\/145  (b) 3  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -31*a - 63. Let r be k(10). Let d = 4403\/12 + r. Calculate the common denominator of 101\/186 and d.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 at least as big as 762?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together -26 and 0.036107.\nAnswer: -25.963893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (9 - 9 + 3*z**2)*(0*z - z - 4*z) as k*z**2 + p*z**3 + x + t*z and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*w + 0*f = -3*f - 2126, -12 = -4*f. Let t = -21341\/2 - -10253. Let s = t + w. Find the common denominator of 15\/8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 11492\/20 + 1 - (-36)\/90. Calculate the greatest common factor of k and 1008.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -n**2 - 3*n. Let s be h(-3). Solve s = -2*y + 4*y + 6 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178627064137 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-162)\/(-12)*2*171. Suppose -66 = -3*j + q. Suppose 81 = -5*k + j. What is the hundreds digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 135*c**3 - 92*c**2 + 3. Let n(b) = 403*b**3 - 277*b**2 + 8. Let g(l) = 3*n(l) - 8*y(l). What is the third derivative of g(s) wrt s?\nAnswer: 774","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 16161.7g?\nAnswer: 16.1617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/5 in 1\/8, 1.2, -1\/4?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of -5*l**6\/2 + 13*l**5 + 115*l**4\/2 - 360*l**3 + 80*l**2 + 640*l - 328. Suppose t(f) = 0. Calculate f.\nAnswer: -4, -2\/3, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of i*l*z**2 - 99*i*z**5 - 2*i - 3*l**2*z**6 - 2*l**2 + 88*z wrt z.\nAnswer: -5940*i*z**2 - 360*l**2*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40 + 68 + 38 + 26*v - 35 - 36 + 110*v.\nAnswer: 136*v - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -2312, -2280, -2224, -2138, -2016?\n\"Answer: g**3 + 6*g**2 + 7*g - 2326","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -72*d - 46*d + 282 - 1344 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out -136037 + -340.827.\nAnswer: -136377.827","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -80*g - 3899. Give i(-49).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -191066\/3 - -62981. Let z = 708 + h. Solve 2\/3*j - 1\/2 + z*j**2 - 2\/3*j**3 + 1\/6*j**4 = 0.\nAnswer: -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -162 + 81. Suppose -5*n + 4*x = 162, -2*x + 24 = -n + 3*x. Let k = n - v. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -8*i**3*n - 13*i**3 - 2*i*n**2 - 3*n + 3 wrt n.\nAnswer: -8*i**3 - 4*i*n - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -4\/37  (b) 1  (c) 0.08  (d) 18\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*g + 3*g - g)*(-23 - 17 + 111)*(-1 + 3 + 0)*(7 + 19 - 12) to n*g + x and give n.\nAnswer: 3976","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -2*d**2 - 11*d - 8. Let t be o(-6). Which is greater: t or -15?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 206*d**2*j**3 + 41*d**2 - 51*d*j**3 - 421*d wrt j.\nAnswer: 618*d**2*j**2 - 153*d*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = r - 4, 2*r = -5*t - 17063 + 129946. Is 80 a factor of 4\/16 - (t\/20)\/(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 72\/15*(20 + -5). What is the greatest common divisor of 8 and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 3 - 0. Sort 5, v, -48, -4 in increasing order.\nAnswer: -48, -4, v, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zt when two letters picked without replacement from {d: 1, t: 1, z: 7}.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = x**3 + 52*x**2 + 169*x + 172. What is s(-48)?\nAnswer: 1276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 41*v + 1196 = 7*v - 874 + 302 for v.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.302 + -1.7908. Let s = w - 0.0112. What is the biggest value in s, -1, 77?\nAnswer: 77","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.3, 2\/5, -3, 13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 0\/(4\/4) + -10. Let c = -16 - q. Calculate the remainder when 10 + (c\/(-3))\/(-1) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 - 6*o**2 + 23*o + 25. Let d be y(-8). Let g(r) = 2*r**3 + 63*r**2 + 29*r - 20. Let j be g(d). Solve -44*b - 4 = -j*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 86 - 88 - (3 + -2 + 5 + -6)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Are 2 and 130\/119 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - s = s - 12, 3*g + 9 = 3*s. Suppose -g*j = -54 - 68. Does 26 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find p such that -p**4\/2 - 39397*p**3\/2 + 945951*p**2\/2 - 6031283*p\/2 + 2562365 = 0.\nAnswer: -39421, 1, 10, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 3*y**2 + 3*y - 5. Let g(t) = -t**2 - 9 + 16*t**2 + 5*t - 2*t**2 - 7*t**2. Determine 4*g(c) - 7*i(c).\nAnswer: 3*c**2 - c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.40789 to one dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*c + 4 = 4*c. Is c*(-4)\/(4\/35) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 13 = -2*z, 4*c + 0*z = -3*z - 32. Suppose -l + 4 = 3. Sort -2, c, l, 4 in decreasing order.\nAnswer: 4, l, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*s - 156 = -4. Sort -1, 0, -2, s in descending order.\nAnswer: 0, -1, -2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*f + 40 + 36. What is the remainder when f is divided by 20?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 76182 = x, -67*c - 25381 = -68*c + 4*x. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 4 = 4*r - 10, 2*u = -4. Let a be -40 + (-3)\/((-3)\/2). What are the prime factors of -4 + a\/r*-3?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 778b6 - 27?\nAnswer: 7788c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-30)\/(-27))\/(6*4\/(-18))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -127\/3969196 and -29\/463932?\nAnswer: 35722764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*q - 13 - 43 = 0. Suppose 0*o - 13 = -q*k - 3*o, -o = 3*k - 11. Let y(b) = b**3 - b. Let f(z) = -8*z**3 + 11*z. Calculate k*f(l) + 44*y(l).\nAnswer: 12*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 39064 is divided by 325.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 804046 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 300 by -15.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*u = 10*u + 211600000. Round u to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -16*n**3 - 2*n**2 + n + 1. Let w be o(1). Let t be (5\/2*w\/(-20))\/2. Let s = 13 + t. Calculate the greatest common divisor of 21 and s.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = y**2 - 3*y + 4. Let s be c(0). Suppose -3*u - 14 = -s*u. Solve z + 4*h + u = -z, 13 = -z - 4*h for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 779088?\nAnswer: 2, 3, 16231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 18.8 and -12.3.\nAnswer: -231.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = 4*n - 6. Let t be c(3). Solve -4*a = t + 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-11077)\/(-689) + (-4)\/52?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 41 + 3*m**3 - 11*m**3 - 43 + (0 - m**2 + 0)*(-2*m - 4*m + 4*m).\nAnswer: -6*m**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 810*y + 380*y - 2685*y + 2317*y**2 - 1557*y + 4029*y**2 wrt y.\nAnswer: 12692","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17323150 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.5*-0.335037\nAnswer: -0.1675185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10931 + -7?\nAnswer: 10925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t + 5*p = -49 + 70, -p + 3 = 0 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t + k = 32, -2*k + 29 = -2*t - 15 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) be the second derivative of 1\/12*t**4 - 3\/2*t**2 + 0 + 0*t**3 - 20*t. Determine f(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -13*i + 12*i - 5 = -5*p, 0 = 3*i + 15 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -4, 1, 3 in decreasing order.\nAnswer: 3, 1, -0.4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 371*c - 1023*c + 280*c + 371*c.\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 22\/6 + 1 + -4 + -1?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = -6*f**3 + 5*f**2 + 5*f + 5. Let k(t) = -t**3 + t + 1. Let r(q) = h(q) - 5*k(q). What is r(5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 17, 1398, 2, 86, -2 in descending order.\nAnswer: 1398, 86, 17, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 - 2.6. Let j = q - -4.6. Let i = -0.05 + -3.95. What is the closest to 0.1 in i, j, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 31 and -112.35651?\nAnswer: -3483.05181","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12289 a multiple of 45?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2542 - a59?\nAnswer: -34a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -15 + 19. Suppose 14 = f*n - 2*g, -5*g = n - 11 - 9. Let o(k) = 498*k + k**2 + n - 3 - 496*k. Determine o(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -20 + 12. Let u(i) = -10*i + 17. Is u(q) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 40 + 8. Find the first derivative of t*h**4 + 6 - 96*h**4 + 17 wrt h.\nAnswer: -192*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = 2*u + 2*u. Calculate the remainder when u\/(-6) - 275\/(-15) is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*n - 143*d + 146*d - 7895, 3*n - 2*d - 5934 = 0. Is 38 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4*p - 71 = -13, 2*z - 96 = 3*p. Suppose -4*f + 21 = -3*h, 0*f - 4*h = f - 10. Calculate the highest common factor of z and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 26117*y**3 - 44*y**2 + 8215194 wrt y?\nAnswer: 78351*y**2 - 88*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2387 + 59*b**3 + 94*b**3 - b**2 + 2387.\nAnswer: 153*b**3 - b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-53)\/(-180) - 4\/16)\/((-13)\/(-325))?\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -h**2 - 2*h + 5. Let d be g(-4). Let v = 4 + d. Solve 4*u + 21 = v for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes before 9:32 PM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6*3*(-12)\/162*3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9535 is divided by 502?\nAnswer: 499","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/(-33))\/((-1)\/(-11) - 106\/(-106))?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -849 by -983.\nAnswer: 849\/983","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -4\/2337 in 0.1, 1\/4, 8\/3?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 186264 and 1045944?\nAnswer: 13597272","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 s and 1 x when two letters picked without replacement from {a: 2, x: 14, s: 1}?\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 338 a factor of 5621?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/9?  (a) 2\/17  (b) 0.45  (c) -3\/4  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.5 and -974.32.\nAnswer: -487.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence xcb when three letters picked without replacement from {k: 2, b: 1, q: 1, x: 1, g: 1, c: 1}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16*d - 14*d**2 + 0*d - 3*d - 14*d.\nAnswer: -14*d**2 - d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*q**2\/7 + 254*q\/7 + 516\/7.\nAnswer: -2*(q - 129)*(q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 1\/4, -1\/2, 1, -1, -2\/15?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5048 and 26072.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 0.01 + -0.11. Let o be (-115)\/25 + (-4)\/10. Which is the closest to -0.1?  (a) -2\/11  (b) j  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (21\/(-49))\/(11\/((-770)\/18))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 637 and 91?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4*1 + 1435\/(-420). Let n(a) be the first derivative of -3\/2*a**2 - a - 6 + u*a**3. Factor n(d).\nAnswer: (d - 2)*(7*d + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 377*x - 1280 + 420*x**2 - 1545*x**2 - 1196*x - 366*x - 1215*x.\nAnswer: -5*(15*x + 16)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((sqrt(684) - (sqrt(684) + -1 + sqrt(684) - sqrt(684)) - sqrt(684)) + (sqrt(228)\/(sqrt(24)\/sqrt(2)))**2 + ((-1*sqrt(209))\/sqrt(11)*4)**2).\nAnswer: -1620 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 6024974?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = t**3 + 2*t**2 - 243*t + 273. What is y(14)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22950 and 810.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -g**3 + 7*g**2 - 6*g - 2. Let n be 7\/14*10*1. Let v(w) = 3*w - 44. What is the remainder when t(n) is divided by v(17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 942, 920, 898, 876?\n\"Answer: -22*i + 964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000002813500287 to 7 decimal places.\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, i: 2, z: 2, f: 1, t: 1}. What is prob of sequence tf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = -3*m + 65. Let s be n(14). Suppose -s*w + 467 = -1856. What is the smallest common multiple of w and 8?\nAnswer: 808","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10887 minus 823799.894?\nAnswer: -834686.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -1, 16, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 44219.\nAnswer: 7, 6317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 12755 to the power of 1\/2, to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = 10*y - 4. Let c be s(1). Let m(r) = 0 + c*r - 4*r + 1 + 7. What is the least common multiple of m(6) and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 4672 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a litre in millilitres?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is three fifths of a kilometer in meters?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 760 is divided by 680?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*x - 552 = 3*y, 3*y - 164 + 716 = 5*x. Let p = -90 - y. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**2 + 12*i - 7. Calculate l(8).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-20 + (-3 - -28) - (1 + -3 - -72)) + 5?\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.4438119 rounded to 3 dps?\nAnswer: -3.444","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -19, 21\/2, -0.18, 0.4?\nAnswer: -0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -7133 (base 9) in base 13?\nAnswer: -24b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + n + 3)*(-4*n + 40*n**2 + 4*n) + (-3 + 3 - 2)*(4*n**3 - 3*n**3 - 2*n**3) - 110*n**3 - 123*n**3 + 69*n**3.\nAnswer: -122*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17 a factor of 1572187703?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 45777 to the nearest integer?\nAnswer: 214","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 627*f**2. Let l(d) = 2*d**2. What is l(j(g))?\nAnswer: 786258*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 102 and 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 793, 1557, 2321, 3085, 3849, 4613?\nAnswer: 5377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = z - 8. Let v be (1 + 2)*2\/1. Calculate g(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 5  (b) 2\/5  (c) -5  (d) 26  (e) 0.03  (f) 0.08\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4\/7, -260, -5.5 in decreasing order.\nAnswer: 4\/7, -5.5, -260","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2834*d**3*g**2 + 225*d**3*g + 2*d**3 - 2*g wrt g.\nAnswer: 5668*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 239.2805m in kilometers?\nAnswer: 0.2392805","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(30)\/(sqrt(10)*-1*-2 - sqrt(10))*-4 - (sqrt(6)\/sqrt(2) + -4 + 3)*-1))**2.\nAnswer: 30*sqrt(3) + 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -24, -70, -182, -390, -724, -1214?\n\"Answer: -5*w**3 - 3*w**2 - 2*w - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1 - 0 - (4 + -1). Suppose 27 - 72 = -5*q + 5*r, -2 = 2*q + 2*r. Let z be 4\/6 + 3 + -4. What is the nearest to -1 in q, z, y?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = -89*m - 5268. Let r be d(-187). Calculate the highest common factor of r and 546.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 4658.236 + 0.764. Let z = u + -4659.02917. What is z rounded to 3 decimal places?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -5\/2  (b) -1\/4  (c) -0.01252  (d) -6\/7  (e) -3  (f) -0.08\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = 7*p - 5*p. Which is the smallest value?  (a) p  (b) -2\/11  (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -43, 0, 3 in descending order.\nAnswer: 3, 0, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34973*i**3 + 44509*i**3 + 15907*i**3.\nAnswer: 95389*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = 8*r - 12. Let m be (3197\/(-207) - -16)*27. What is o(m)?\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25687234873 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*d - 30 = 4. Let p = d - -17. Let o be 52\/28 - 2 - 9\/(-112). What is the biggest value in p, o, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t - 5*w + 120 = 0, -2*t - 5*t + 6*w + 197 = -4*t + 432 - 46 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find n, given that 14*n**5\/17 - 346*n**4\/17 - 15458*n**3\/17 + 175162*n**2\/17 + 4781844*n\/17 + 1351584\/17 = 0.\nAnswer: -19, -2\/7, 24, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 1, s: 4, j: 4, a: 1, l: 9, o: 1}. What is prob of sequence ossa?\nAnswer: 1\/9690","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = -135*z**2 - 27*z - 225. Let s(v) = 2*v**2 - v - 1. Let x(d) = a(d) - 27*s(d). What is the derivative of x(b) wrt b?\nAnswer: -378*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1181 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uhttlttlhtttuhutt. Give prob of sequence lhu.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 85650 and 975.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 368.3006 kilometers in meters?\nAnswer: 368300.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-9)\/3 - -5)\/(1 - 0). Let v(z) = 6*z**2 - 2. Give v(c).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = 18*t**2 + t - 9. Give m(4).\nAnswer: 283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 42 minutes after 5:39 PM?\nAnswer: 6:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 10218279 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -18*l**5 + 4*l**2 + 24*l + 4. Let d(s) = 18*s**5 - 3*s**2 - 25*s - 3. Let o(y) = -4*d(y) - 3*u(y). What is the second derivative of o(r) wrt r?\nAnswer: -360*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*sqrt(153) + 5 + sqrt(17)*2 + -6*(-1*sqrt(51)*2 + sqrt(51) + sqrt(51))\/sqrt(3).\nAnswer: 5 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - -15 - -4 - (-87 - -172)?\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) be the second derivative of -3\/2*o**2 - 83\/12*o**4 + 0*o**3 - 6*o + 6 - 123\/20*o**5. Find the third derivative of f(r) wrt r.\nAnswer: -738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-44)\/(-16))\/(-11))\/(1\/(-2))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*3*sqrt(19) - -3*sqrt(19)*-6.\nAnswer: -27*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 12659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28452 divided by -6.\nAnswer: 4742","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 631 minutes after 9:07 PM?\nAnswer: 7:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -6*q + 3*q**2 - 4*q - 5*q**2 + 3*q**2 + 3. Determine c(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9801*p**2 + 1126*p**2 + 12 + 685 + 482 wrt p?\nAnswer: -17350*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -250 - -418. Calculate the greatest common factor of o and 24.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - g + 20468, l - 3420 = 2*g + 3391. What is the tens digit of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 164 - 212?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**2. Let a(w) = -19*w**2 + 5*w + 1. Determine a(b(c)).\nAnswer: -19*c**4 + 5*c**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -82\/21 and -149\/42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 95 - 34 = 0. Let k = p - 38. Suppose -v + 2 = 2*c - 0, 4*v = k*c - 18. Sort v, 3, 4 in descending order.\nAnswer: 4, 3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11\/51 greater than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q**3 + 4*q**2 - 10*q + 12. Does 57 divide b(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the first derivative of 192*k**2 + 10 - 193*k**2 - 4 - 2*k. Find the first derivative of v(f) wrt f.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 + 20. Let r be a\/(-42) - 8\/(-28). What is the biggest value in 3\/5, r, -2\/7?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((12*n + 2*n + 0*n)*(2*n + 4 - 4) + 4*n**2 + 2*n**2 - 5*n**2)*(-3*n + 2*n - n).\nAnswer: -58*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37 is divided by (-576)\/(-30) + 1*1\/(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(77) + 4*sqrt(77)*-1 - sqrt(77))\/sqrt(7) - sqrt(132)\/(sqrt(1452)*2))**2 + (sqrt(66) - sqrt(66)*1*4)\/(1*sqrt(96)).\nAnswer: -3*sqrt(11)\/4 + 7921\/44","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.1  (b) 34.82  (c) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the third derivative of -23\/6*c**3 + 0*c**5 + 0*c**4 + 0*c - 11\/60*c**6 + 0 - 13*c**2. Differentiate n(k) with respect to k.\nAnswer: -66*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(5 + ((sqrt(72)*-2 - sqrt(72))**2 - sqrt(10)\/(-2*sqrt(5) + sqrt(5))) + (sqrt(16) - sqrt(32)\/sqrt(2)*-5)\/sqrt(8)).\nAnswer: -653 - 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 33*a**3\/2 + 105*a**2\/2 + 42*a + 6 = 0.\nAnswer: -2, -1, -2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 120 and 49821840?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x. Let n(q) = -q**2 + 13*q + 34. Let d be n(15). Let w(b) = 2*b + 91. Let c(f) = 5*f + 183. Let j(y) = d*c(y) - 9*w(y). Determine v(j(z)).\nAnswer: -2*z + 87","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -8 - (-1 - 12\/(2 + 2))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 4*x - 2 + 3*x + 0*x - 5*x + (-2 + 0 + 4)*(-2*x + 5*x + 0*x) + 2*x + 2 - 2.\nAnswer: 2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-6 + 1 + 101493\/405)*20. Which is bigger: 4913 or o?\nAnswer: 4913","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 349 + 91)*(5*p - p + 0*p).\nAnswer: 1788*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = f**2 - f - 17. Let v(n) = n**3 - 4*n**2 + 4*n + 1. Let l be v(3). Let z be j(l). Let m(x) = -5*x + 2*x - 1 + x. Calculate m(z).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 627 divided by 19\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k + 10 = 2*a, -2*a - 2 + 8 = 2*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 4*j = 15 + 13, -j - 22 = -4*i. Suppose 5*h - i*r + 39 - 4 = 0, 2*r - 8 = 0. Is ((-20424)\/36)\/(2\/h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6012, 6050, 6100, 6168, 6260, 6382, 6540, 6740?\nAnswer: 6988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/(t*t**(-6)))*t**4\/t*t*(t*((t*t**4*t)\/t)\/t)\/(t**(-5)*t))\/((t**(-3\/4)*t**(1\/2))\/(t\/t**0)**(-2\/9)) assuming t is positive.\nAnswer: t**(289\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a**3 - 889*a**2 + 889*a**2.\nAnswer: -12*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*v = r, -4*v = -r + v - 2265 + 1130 + 1134 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9186498 = -194*j + 20841404. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*x + 5*f = -34, 4*x = 9*x - 4*f - 5 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 1161, 1162, 1163?\n\"Answer: l + 1160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.8?  (a) -4  (b) -1\/3  (c) -3\/2  (d) -12  (e) -1403\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.4?  (a) 1\/2  (b) 21  (c) 4  (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*z + 421 = 1501. What is the remainder when 234 is divided by z?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a microsecond in nanoseconds?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -3864, -3865, -3868, -3873, -3880, -3889, -3900?\n\"Answer: -n**2 + 2*n - 3865","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 89279\/50853 + 3\/1541. What is the common denominator of 39\/4 and i?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.4?  (a) 4  (b) -1\/2  (c) -0.378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x**3 + 3*x**2 - 2*x + 3. Suppose 0 = -5*b + 3*g - 120, -3*g = -2*b - 0*g - 57. Let d = 18 + b. Determine m(d).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 87982537 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 29166445757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1595393943 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 3*c**2 - c + 1. Let y be w(1). What is the second derivative of x**2 + 6 - y - 3 - 3*x wrt x?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1691251*a - 2959244*a - 224687*a.\nAnswer: -4875182*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 2183277 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 5170.\nAnswer: 2, 5, 11, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in nineteen quarters of a litre?\nAnswer: 4750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -32 - -37. Suppose 3 = -t*k + 18. Suppose 4*n + 194 = 2*p, -k*n - 75 = 3*p - 330. What is the units digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 10356 by 3452.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**4\/5 - 8*x**3 - 448*x**2\/5 - 1536*x\/5.\nAnswer: -x*(x + 8)**2*(x + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15847*g**2 + 6*g - 117185.\nAnswer: 31694*g + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/70 and -109\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 19906451 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand o**4 + 2*o**4 - 2*o**4 + (o**3 - 3*o + 3*o)*(-o + 2*o + o) - o**4 + 0 + 0 + (2 + 3 - 3)*(-2*o + o + 2*o)*(6*o + o**3 - 6*o).\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*v - 18*v + 3 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 35433 to the nearest integer?\nAnswer: 188","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 451470.\nAnswer: 902940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -87 + (-44 - -68 - 8)\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -1.38 from -0.33.\nAnswer: 1.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 312 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -6 + 3. Let c = -2\/55 - 206\/385. What is the nearest to 1 in 4\/7, j, c?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1 and 37558.5?\nAnswer: -37558.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = 0*f**2 - 1 + 39*f - 90*f - f**2 + 48*f. Let r(o) be the first derivative of 0*o - 15 + 1\/2*o**2. What is r(a) + y(a)?\nAnswer: -a**2 - 2*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round -2630 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 100 and 68350?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 19097.4 and -1391815056?\nAnswer: 1391834153.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 149?  (a) -0.5  (b) 2.4  (c) -0.3  (d) 529\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3\/7 - 220032*o**2\/7 - 15642436*o\/7.\nAnswer: 4*o*(o - 55079)*(o + 71)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -74d8d006 + 4?\nAnswer: -74d8d002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 68450 + -39323. List the prime factors of i.\nAnswer: 3, 7, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 957*b**2 + 200*b - 200*b.\nAnswer: 957*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-186)\/465*(-715)\/(-22).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-18)\/(-10) - 3\/(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -t**3\/4 + 259*t**2\/4 + 3212*t + 36663 = 0. Calculate t.\nAnswer: -22, 303","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 26\/123  (b) 4  (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 - 2 - ((22 - 48) + 20).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d + 2*k = 4*k + 5, 4*d = -3*k - 19. Let u = 2.9829 + 0.0071. Let r = -2.99 + u. What is the closest to r in -1\/5, d, 3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -39*y**3 + 600*y**2 - 2112*y - 1536.\nAnswer: -3*(y - 8)**2*(13*y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f - r - 23 = -0*r, -5*r + 35 = -5*f. Suppose 20 + 16 = 3*o. Is 58\/o - f\/60 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 537220\/17 + -31599. Let f(v) = v**3 + 4*v**2 - 3*v - 3. Let t be f(-4). What is the common denominator of (t\/24)\/(1\/31) and c?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005650155 - -3360?\nAnswer: 3360.005650155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 54\/10741625 and 19\/8593300.\nAnswer: 42966500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -579*b**2 + 288*b**2 + 12772 + 10056 + 290*b**2.\nAnswer: -b**2 + 22828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -467 - 362*p**2 + 235 + 232 to l*p**2 + n + u*p and give l.\nAnswer: -362","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-6\/5)*v*v\/(v**(1\/21)*v)*v)\/((v\/(v\/((v\/v**(-13))\/v)))\/v*v\/(v\/v**(-2\/27))) assuming v is positive.\nAnswer: v**(-10559\/945)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) -2\/25  (b) -0.09  (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence exv when three letters picked without replacement from yvvvxyxyvxxvvecxxy?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*s**2\/9 - 22*s - 200\/9.\nAnswer: 2*(s - 100)*(s + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the third derivative of -5\/3*f**3 + 0 - 1\/8*f**4 - 105*f**2 + 0*f - 4\/15*f**5. Differentiate i(v) with respect to v.\nAnswer: -32*v - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, v: 1, f: 1, y: 2, a: 1}. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 687 minutes after 1:15 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.1, 28, -1\/2, -4, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16986827.\nAnswer: 11, 13, 10799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 347641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by -128989543.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -4, -21, -52, -103, -180, -289, -436, -627?\n\"Answer: -f**3 - f**2 - 7*f + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -z + 3*z. Let w(p) = -p + 2*p + 2*p - 7 - z*p. Let n be w(8). Solve 7 = 2*s + n for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.4?  (a) 0.9  (b) 4\/695  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r - 8*r + r)*(-470 - 314 + 47) + 2*r + 4*r - 3*r as o + v*r and give v.\nAnswer: 5162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 568 + -567.8. Which is the biggest value?  (a) 9  (b) -3  (c) r  (d) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -85 - -131. Suppose 0 = -4*l + 34 + z. Suppose -4*m + l = 2*c - 0*c, 5*m = 4*c - 79. What is the units digit of c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -4*b - 56. Let v be w(0). Let g be (9\/8)\/3*112\/v. Let m = 48 + -52. What is the second smallest value in m, g, -0.02, -2\/5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -77*j**2 - 10*j - 13 wrt j.\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -78 - -84. Let i(b) = 14*b + 9. What are the prime factors of i(j)?\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4150583 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) be the first derivative of -37 - 3*b**2 - 6*b + 4\/3*b**3. Let u(y) = -4*y**2 + 5*y + 5. What is -5*r(t) - 6*u(t)?\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-255)\/289)\/5)\/(-3).\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4.1 + -0.1. Let w = d + -3.9. Put w, 2, -3 in ascending order.\nAnswer: -3, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-23 + 36 - -90) + (9 + -16 - 8)\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 54\/1555 and -15\/8.\nAnswer: 12440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 + 1 - 4)*(-2 + 6 + 0)*(-m + 4*m - 2*m)*(4 + 2 - 4) to l*m + k and give l.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*m**2*t**3 - 6*m**2*t**2 + 3*m**2 + 3*m*t**3 - 7 wrt t.\nAnswer: -18*m**2 + 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3 + 0 + (1 - 3).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) = -n**2 - 142*n - 908. Determine r(-118).\nAnswer: 1924","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (30\/20)\/(1\/(-2)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1)\/l)**(-20)\/((l**3\/l*l)\/(l*l\/l**(-3\/2)*l)) assuming l is positive.\nAnswer: l**(83\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = 445*h**2. Let c(l) = 3*l**2. Give f(c(y)).\nAnswer: 4005*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*a + 2*a - 2*a)*(5 - 2 - 4) + (-3 + 3 - 1)*(4 + a - 4) in the form d*a + p and give d.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (32 + (6 - (34 - 10)) - 76) + -14.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 5, 0.04, 0, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -eda4 + -4e3?\nAnswer: -f287","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8733*c = -8739*c + 48 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r + 90 = 5*w, 0 = -2*w - 9*r + 8*r + 35. Solve w*h = 35 + 45 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**2 + 6*r + 2. Let p be i(6). Let m(u) = -3 + u + u**2 + 2*u**2 + 0 + u**p. Let g be m(-3). What is the greatest common factor of 20 and g?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-12))\/((89\/(-1068))\/(13\/(-9)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 24\/(-9)*-5*(-108)\/120*1\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1078)*5 + (sqrt(22) - (sqrt(1078) + (sqrt(1078) + sqrt(1078)*-5 - sqrt(1078)))))\/(3*sqrt(22)\/(-3*sqrt(176))).\nAnswer: -256*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 295*n**2 + 48*n**2 - 74*n**2 + (-2*n + 3*n + n)*(3*n - n - 4*n) + n**2 + 0*n**2 + 0*n**2.\nAnswer: 266*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -8*k**2 - 5*k + 5. Let i(s) = 7*s**2 + 5*s - 6 + 2*s**2 + s. Determine -6*f(w) - 5*i(w).\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o - 55 = 4*q, 5*q + 7*o = 9*o - 44. Let p(z) = z**3 + 10*z**2 + 4*z + 42. Let l be p(q). Solve -2*g + 10 = 2*y, -10 = -g + 4*g - l*y for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3 - (-19)\/5)*190\/(-57). Which is the closest to 4\/3?  (a) -2  (b) r  (c) -0.8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1.1 - 0.1. Suppose 0 = 25*i - 17*i + 896. Let p be 6\/4 - i\/(-160). Which is the second biggest value?  (a) -0.3  (b) p  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 391 minutes before 7:36 PM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:18 PM and 8:43 PM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 59 = -5*b, 39 = -3*x + 1194*b - 1191*b for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1282 + 3*d**2 - 5*d**2 - 1282.\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together 15 and 904706.\nAnswer: 904721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v - 7 = 3*g, -3*v = -3*g - g - 26. Solve -4*p = -2*q + 22, -p - 2 = -v*q + 5 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1157 + 1162. Suppose 4*q - 15 - 1 = 0. Suppose 0*m - 4*m = q*k - 32, 5*m - 25 = -2*k. Solve k*r + o*p = p - 22, -5*p = 15 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 12833 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-72)\/84*21\/6. Let y(q) be the third derivative of -q**6\/120 - q**5\/20 - q**4\/8 + q**3\/2 + 129*q**2. What is y(u)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - l**2 + 2*l - 1. What is t(-3)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.13 in 54, 0.4, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10 and 189.\nAnswer: 1890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-111)\/(-6) - 3\/(-6). Let q(r) = -2*r + 15. Let v be q(-15). Suppose v = 4*b - 27. Is a at most b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 2*a + 46 = 0, -6*i + 4*a - 108 = -4*i. Let h = 143 - i. List the prime factors of h.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b + 6*b + 10, 0 = -3*t + 3*b + 54. Suppose -208 - 480 = -t*s. Let y(p) = 23*p. Calculate the remainder when s is divided by y(1).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 825658870 to the power of 1\/6, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -i**2 + 2. Let s be f(0). Let v(t) = -3*t**2 - 5*t**2 - 3*t**s + 17*t**2. Let c(o) = 2*o**2. Determine v(c(p)).\nAnswer: 24*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -111.24 in 44, 0.3, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5311?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 58*v**2 - 62*v**3 + 70*v**3 - 58*v**2.\nAnswer: 8*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 69015?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -68259*w**3 + 9*w - 4060 wrt w.\nAnswer: -409554*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = 3*i - 18. Let y(a) = -2*a - 17. What is the remainder when 29 is divided by y(i)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = m**2 - 5*m + 5. Let b(p) = -2*p**2 + 8*p - 8. Suppose -1 - 31 = -4*h. Give h*n(x) + 5*b(x).\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 524707624 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 50592 and 192.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-21)\/252 - 17403127\/(-84). What is x rounded to the nearest one thousand?\nAnswer: 207000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-17724)\/(-12027))\/(((-30)\/57)\/(-5))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*k - 1086 - 480. What is the least common multiple of k and 319?\nAnswer: 2871","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3859*-133\nAnswer: 513247","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*i**3\/5 + 56*i**2\/5 - 106*i\/5 + 52\/5.\nAnswer: -2*(i - 26)*(i - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qu when two letters picked without replacement from {x: 7, u: 1, q: 2}?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4\/9, 1\/5, -2\/15, 4, 71?\nAnswer: 71","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -326*y + 1045 + 5801 = 0 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 322 minutes before 8:57 PM?\nAnswer: 3:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 5\/8 in 3\/82, 0.2, 37, 2\/9, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 3*p - 20 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(252) + sqrt(252) + (2 + sqrt(252))**2 + 5 + -1 + 2.\nAnswer: 36*sqrt(7) + 262","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 24 - 19.6. Let t = r + -0.4. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1000111 (base 2) to base 11.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 - 2. Let j = x + 13. What is the units digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-182)\/312 + (0 - (-3)\/9).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -35 - -36. Let n(o) = -o**3 - o + 1. Let l(p) = 2*p**3 + p**2 + 3*p - 4. What is c*l(r) + 4*n(r)?\nAnswer: -2*r**3 + r**2 - r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 3.5 - 4. Let r = 8 - 3. Let b = -0.34 - -0.04. What is the closest to -0.1 in r, b, g?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -283 - -6515\/23. Let o = 28\/69 + q. Let c = 0.5 + -1. Sort 2, c, o.\nAnswer: c, o, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((5 - 0)\/5)\/5 + 57684\/30?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 3, z: 3, m: 1, c: 3, j: 1, t: 2}. Give prob of sequence mztz.\nAnswer: 1\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 107472 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = -m**3 + m**2 - 1. Let r be b(2). What is the remainder when 46 is divided by (-2 - r - (1 - -1))*7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qg when two letters picked without replacement from {q: 3, k: 2, g: 9, b: 2}?\nAnswer: 9\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -365 - -1?\nAnswer: -364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 78013 and 2?\nAnswer: 156026","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 21\/4 - 12\/(-16). Suppose 48 - 48 = a*d. Suppose -2*n = 3*q - 6, -2*n + 6*n - 12 = 3*q. Solve c + n = -d*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 637*h**6 - 3*h**2 + 33.\nAnswer: 76440*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -2*s. Let g(i) = 5*i**3 - 2*i**2 + 2*i - 1. Let z be g(1). Let c(v) = -3*v - 9*v - z*v. Determine k(c(o)).\nAnswer: 32*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-2)*c*c\/c**(2\/3)*(c*c\/(c\/c**5)*c)\/((c**(-8)*c)\/c*c))**(-8) assuming c is positive.\nAnswer: c**(-320\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, -0.4, -5, -1\/2, -2.7 in decreasing order.\nAnswer: -0.4, -1\/2, -2.7, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -4*r**3 - 28*r**2 - 71*r - 48. Let j(b) = -4*b**3 - 28*b**2 - 70*b - 48. Let a(k) = 6*i(k) - 7*j(k). Factor a(l).\nAnswer: 4*(l + 2)**2*(l + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -138 + 68 + 10*i - 2*i**2 + 69 to y + t*i + x*i**2 and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -1 - 10651\/4896 - (-776)\/1746. Let v = -1044932\/51 + 20490. Let m = v + j. Find the common denominator of m and 55\/16.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -267472 or 1\/34?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 18*3\/12*4\/(-42)\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 886 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -157*r = -551 + 1920 + 4911 for r.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of -x**4\/8 + 176*x**2. Let t(k) be the third derivative of 19*k**4\/24 + k**2. Give v(t(w)).\nAnswer: -57*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 2*m. Let u(w) = -639614*w. What is v(u(s))?\nAnswer: -1279228*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(1\/4))**(-2\/23)*(b*((b\/(b\/(b\/(b**2\/b*b*b))))\/b)\/b*b*b)\/((b**(2\/5)*b)\/b) assuming b is positive.\nAnswer: b**(-327\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*f + 16 = 3*c, -6 = -3*c + 6*f - 9*f for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + -20. Suppose -3*z + 10 = -3*w + 4*w, -m = -2*w - 5*z. Solve -p + w = p for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*n**2 + 312*n + 8112 = 0 for n.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -3024024431 - -2?\nAnswer: -3024024425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*r**2 + 102070*r - 7374960.\nAnswer: 5*(r - 72)*(r + 20486)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) be the first derivative of 2*c**3\/3 + 4*c**2 + 8*c - 4. Factor n(x).\nAnswer: 2*(x + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83.72123 minutes to nanoseconds.\nAnswer: 5023273800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 57 - (19 + 5 + -11) and 200?\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2900 and 180?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 2*s)*(-2 + 0 + 7) + (5 - 1 - 3)*(4*s - 2*s - 3*s) + 24*s + 0*s + 6*s.\nAnswer: 19*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 5657 at most 5660?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = 0 - 10 - 1 - 1 + 17 + 5*s. Suppose -2 - 7 = -3*d. Let u be b(d). Calculate the highest common divisor of 140 and u.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34727 rounded to the nearest one thousand?\nAnswer: 35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 64445 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -61 divided by 1261200?\nAnswer: -61\/1261200","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 308381?\nAnswer: 359, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.109 and 16.\nAnswer: -1.744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3\/6)\/((-2)\/17520*-10). Which is smaller: 439 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -116202 divided by 31.\nAnswer: -116202\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3203 + -3028. Which is the third smallest value?  (a) t  (b) -4  (c) 2\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((6*(sqrt(208) + sqrt(13))*2*-2)**2 - (sqrt(156)\/(-3*sqrt(12)) + 4 + (sqrt(13) - (sqrt(13)*-2 + sqrt(13))))**2) + 3.\nAnswer: -40*sqrt(13)\/3 + 1684358\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = 129*h + 393. Give z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-24)\/(-66) - 234\/99. Let z be s\/(-22) - 94815\/(-539). Calculate the greatest common factor of 128 and z.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0 - 2*i + 0)*(-322*i - 5 + 678*i - 339*i) to the form g + r*i + p*i**2 and give r.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 134330 (base 5) to base 13\nAnswer: 2710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a**3 + 15990864*a**2 - 95945103*a + 143917614 = 0. What is a?\nAnswer: 3, 5330282","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*b**2 + b**2 - 4*b**2)*(0*b + 2*b**3 + 0*b) - 937*b**2 - 53*b**5 + 937*b**2.\nAnswer: -51*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1062031.\nAnswer: 1062031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (15\/(-1))\/(333\/36 + -10) - 7.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 47506183 is divided by 4459.\nAnswer: 4456","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6*h**3*o + 411*h**2*o**3 - 13*h*o**3 - 6*h*o + 3*o**3 wrt h.\nAnswer: 36*h*o + 822*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fnnrrrr. What is prob of sequence nr?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 13043382?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, -2, 2, 3\/4, 10, -639?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 73 = -17*d - 80 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence klk when three letters picked without replacement from {l: 1, k: 2, h: 2}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 287643463 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 5*s = 766 + 186. Calculate the remainder when 10335 is divided by s.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 4*g**2. Let h(s) = -54*s**3 - 5*s**2 - 10*s + 15. Let d be h(-9). Let z(v) = -20*v**2 - d + 39066. Determine z(f(m)).\nAnswer: -320*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2310081 or -2310072?\nAnswer: -2310081","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (2370\/12)\/((-14)\/156). Let i = 2205 + u. What is the common denominator of -13\/4 and i?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -99 + 157. Let m = -57 + t. Suppose 3*s + p - 5 = -m, -5*p = -20. Solve -5 + s = -v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 771379?\nAnswer: 7, 263, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.03692337 - 0.03695. Round x to 6 dps.\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of -17*k**3\/3 - 11*k. Let a(h) = h. Give y(a(x)).\nAnswer: -34*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7882495.1 or 2\/7?\nAnswer: -7882495.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) be the third derivative of -q**8\/3360 + q**7\/1260 + q**6\/360 - q**5\/60 - q**4\/24 + 3*q**2. Let d(l) be the second derivative of o(l). Factor d(k).\nAnswer: -2*(k - 1)**2*(k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 135956795 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 1\/4?  (a) -1\/3  (b) 0.1  (c) -3  (d) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o - 2*o = -12. Let s(r) = -16*r - 21. Let z(q) = 3*q + 4. Let l(k) = 2*s(k) + 11*z(k). Give l(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584)*-2*3 + sqrt(1584) + -1 + 3 - -2*(sqrt(1584) + -4 + 3))**2.\nAnswer: 14256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r = 2*o - 16, 4*o - r = r + 22. Suppose 4 = -2*d, -2*p = o*d - 2 + 4. Find n, given that 0 - 2\/3*n + 2\/3*n**p = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(s) = s**3 + 4*s**2 - 2*s - 5. Let v be f(-4). Solve v = -0*x + 3*x for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - 4*h**2 - h + 10. Calculate d(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 63 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b + 27 = 2*r, -580*b = -581*b - 2*r + 7 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(3*sqrt(637)*2)**2 - (sqrt(91)\/(sqrt(49)\/(sqrt(56)\/sqrt(8))))**2*6.\nAnswer: -137670","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (1\/(-3))\/(9\/(-27)). Suppose 19 = 4*w - h. Suppose 0 = w*v + 15 - 5. Is -1 greater than v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 189 + -85. Suppose -5*r + r = -b. What are the prime factors of r?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3393591 = 149*j + 94*j - 1701147. What is the units digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 2137 + 11469. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 702913 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -12*p + 7*p + 7*p**2 + 3*p as r + l*p + o*p**2 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uu when two letters picked without replacement from yummiiumiimimmmiim?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 105 and 7052235.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r + 4*i + 244 - 672 = 0, 0 = -r + i + 205. Let c(g) = 199 + 9*g - g - g**2 - r. Let p be c(6). What is the greatest common divisor of p and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 divided by 74366?\nAnswer: 5\/74366","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2509.3 - -2509. Which is the second smallest value?  (a) -4  (b) -1\/5  (c) s  (d) -45\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-96 + 0)*(-9)\/(-9). Let x = 23 - d. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 5\/2  (b) -9  (c) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -397*d**4*v**2 + 7*d**4*v + 5*d**4 + 470*d**2 + d*v**2 + 4*v wrt d?\nAnswer: -9528*d*v**2 + 168*d*v + 120*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 48 + -34. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1333 (base 8) to base 14.\nAnswer: 3a3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 3*p - 2. Suppose -12*i + 155 = 227. Let h(j) = -48*j + 33. Calculate i*h(m) - 99*d(m).\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -45*h + 5 + 46*h + 0 - 1. Determine q(4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + 150. Let r = -73 + y. List the prime factors of r.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(3\/11)\/x*x)**22\/(((x\/x**(-7))\/x*x*x)\/x*x\/x**(2\/35)*x) assuming x is positive.\nAnswer: x**(-138\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -345*u**3 + 1335830*u**2 - 1293054400*u - 37480960 = 0.\nAnswer: -2\/69, 1936","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 702 is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1475169138 to the nearest integer?\nAnswer: 38408","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 5, -1996 in ascending order.\nAnswer: -1996, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (-32 + -126 - -109) + 52\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) = -20*l + 12. Let x(u) = -u - 2. Give -j(k) - 4*x(k).\nAnswer: 24*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = f**2 + 25*f - 365. Give q(10).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6968\/234 + 2\/9. Suppose -62 = 2*f - 4*f. Which is greater: f or w?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4.6 - -1.3. Let f = 8 - 5. Let l = i + f. Which is the closest to l?  (a) 2\/7  (b) 1\/2  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 99 times 0.26971\nAnswer: 26.70129","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Total of -95.09561 and -0.3.\nAnswer: -95.39561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k\/(k*k**(-2\/7))*k**(-8)\/k*(k**(1\/3))**(-12\/11)*(k**(-8)*(k**(2\/11)\/k)\/k)\/(k**(-3)*k**(-9)) assuming k is positive.\nAnswer: k**(-531\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*y = -2*p - 3, 3*p + 2*p - 2*y = 21. Let v(c) = -3*c + 2 - c**p - 8*c**2 - 1 + c - 2. Calculate the least common multiple of 6 and v(-8).\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find f, given that 72*f**2 - 96477*f - 4020 = 0.\nAnswer: -1\/24, 1340","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3*v**2 - 13*v - 609 + 503 + 13*v to a*v + q*v**2 + n and give n.\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 1918414 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kuusugkskgsskkoygg. What is prob of sequence guo?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 323 - 181. Suppose -2*f - 3*a = -94, 0 = -4*f - a + 36 + l. Calculate the remainder when f is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 841\/1155 + 2\/385. Suppose 3*i = 6*x - 4*x, -i + 5*x = 0. What is the common denominator of (-83)\/(-4) + i\/(-1) and r?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/3*(12 - 9). Let x be (-9)\/6 - 22\/i. Let d(j) = -10*j**2 - 3. Let n(h) = -7*h**2 - 2. Calculate x*n(u) + 5*d(u).\nAnswer: -u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 1\/((-2)\/4) - 640\/(-6144)*48. Let p = -18.09 - -18. Let z = -89\/3 + 30. Which is the nearest to 2\/5?  (a) z  (b) o  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49 - 48.963. Let i = 0.237 - n. Put i, -1, 1\/3, -4 in increasing order.\nAnswer: -4, -1, i, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -4081 or -8163\/2?\nAnswer: -8163\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000974173 rounded to six dps?\nAnswer: -0.000097","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 222031 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 d when two letters picked without replacement from fhhwffffffdffdff.\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = 2*r**2 - 6*r - 116. Let w be g(-11). Let u = w - 190. Calculate the remainder when 86 is divided by u.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*s - 4*t - 94180, s - 27*t + 32*t = 23533. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence uhh when three letters picked without replacement from {h: 7, u: 5}.\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -922 + 919. Let a = -8 - -1. Is j at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1561 = -15*m + 7366. Let d = m - -12. Is 21 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r. Let l(a) = -2*a. Let v be ((-30)\/(-3) - 2)\/(-2). Let p(u) = v*m(u) - 3*l(u). Let g(j) = -j + 4*j - 2*j. Give g(p(q)).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bqqq when four letters picked without replacement from qqqqnqqqbnqqqq?\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 153\/36 - (2 + 2). Suppose -4*p + 18 = 2*l, 3*l - 6 - 7 = -4*p. Suppose 0 = 5*g + 3 + p. Which is smaller: i or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 50 is divided by 14?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -113 divided by 1.\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 76*g**2 + 5 - 2*g**2 + 1 + 5*g**2 + 4*g. Let s(r) = -r. Let j(u) = p(u) - 2*s(u). What is the tens digit of j(-1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1078 divided by 1?\nAnswer: -1078","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-32)\/6*(1 - 16). Calculate the greatest common divisor of 10 and d.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*x**5 + 83976*x**4 + 167280*x**3 - 13767200*x**2 + 74558976*x - 96731136 = 0. Calculate x.\nAnswer: -20992, -16, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (-4*sqrt(35)\/sqrt(5))**2 + -4 + 4.\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.044032 to 4 dps.\nAnswer: -0.044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 368394193 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 15, 101, 253, 465, 731, 1045, 1401?\nAnswer: 1793","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 408 and 17.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) be the second derivative of q**3\/3 - 2*q**2 + 454*q. Let n(w) = -5*w + 12. Determine 11*i(m) + 4*n(m).\nAnswer: 2*m + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -5*b**4*l*r + b**4*r + 746*b**3*r + 5600*b**2*l*r + b**2 - l - 2*r wrt b?\nAnswer: -120*b*l*r + 24*b*r + 4476*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hhbebhbbbhhhbhhbhbbh. What is prob of sequence ehh?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 38035 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 - 19 = -3*n. Let g(v) = 3*v + n*v + 5*v - 11*v. Let c(a) = a**3 + 3*a**2 + 3*a. Let k be c(-2). Let r(f) = -2*f. Determine k*r(y) - g(y).\nAnswer: 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1015, -2014, -3011, -4006, -4999, -5990?\n\"Answer: m**2 - 1002*m - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -186*j**2 - 7*j**3 + 231*j**2 + 3*j**3.\nAnswer: -4*j**3 + 45*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hkr when three letters picked without replacement from lkywryh?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -n**3 + 10*n**2 + n - 14. Give s(10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -54975 or -6322197\/115?\nAnswer: -6322197\/115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 14 + 7. Let i(p) = -2 - 17*p - z*p + 57*p - 21*p. Determine i(-4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 31*w*z**4 - 24*w + 3198*z**3 - 715242 wrt z?\nAnswer: 124*w*z**3 + 9594*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -602*a = -600*a - 3120. What is the thousands digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 9463 + -2864. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x**2 - 208209*x - 208210 = 0. What is x?\nAnswer: -1, 208210","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*v + 8*v - 192. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-3 + 7)\/(-2) - -38. Suppose 5*w - 3*w - p = 0. Is 9 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 123 minutes after 10:21 AM?\nAnswer: 12:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -1\/29, 0.2.\nAnswer: -15, -1\/29, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.32 + 0.38. Sort -0.3, 2, k.\nAnswer: -0.3, k, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c - 60 = -10*c. Calculate the least common multiple of c and 5.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -7, -21, -45, -85, -147, -237?\n\"Answer: -m**3 + m**2 - 10*m + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: e9c5d (base 16) to base 11\nAnswer: 5a4455","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 2, 5, -5\/9, -1\/3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -40*(9\/42)\/(216\/504).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3707 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 13671 divided by 26\nAnswer: 13671\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 2 - 62*z + 59*z - 2.\nAnswer: -3*z - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:47 AM and 12:50 PM?\nAnswer: 543","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -4\/135  (b) 0.2  (c) 0.1  (d) -5  (e) 0.02  (f) -23\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) 187  (c) 0.03  (d) 1  (e) 1\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.4172439 to 1 decimal place.\nAnswer: -3.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -x + 6 = 3*a, 6*x + a - 6 = 7*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7 and 8071.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 + -63 + (888 - 778)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/12)\/(71448\/(-149760)*40)?\nAnswer: -2\/229","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -13 - -15. Let k = -200 - -209. Which is the second biggest value?  (a) 4  (b) g  (c) k  (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0, 31\/2, -0.2, -0.4, 10?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 199738?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 233.0755 millilitres to litres.\nAnswer: 0.2330755","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 68 in -1\/3, -1\/5, 1\/25, 80?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8 - -10. Let o = 23 + g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 1403754, 1403774, 1403794?\n\"Answer: 20*x + 1403734","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in a**3 + 147*a + 2*a**2 - 9 - 73*a - 74*a.\nAnswer: a**3 + 2*a**2 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/7*-5)\/(2\/7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 14 + -6. Let x = 176 + -85. Let q = -35 + x. Calculate the highest common factor of q and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -44 - (-65 - -66)?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = r**3 - 38*r**2 + 22*r + 36. What are the prime factors of w(41)?\nAnswer: 5981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 divided by -97.\nAnswer: 13\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -215 - -216. Let c = 197 + -178. Calculate the greatest common divisor of j and c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {z: 4, w: 4, q: 1, i: 1}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 326746.\nAnswer: 2, 7, 23339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2546*s - 3972?\nAnswer: -2546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(525) + (sqrt(525) - sqrt(525)*2) + sqrt(525) + sqrt(525))\/((1*sqrt(12))\/sqrt(4)).\nAnswer: 10*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -2*u**3 + 3*u**2 + u - 4. Suppose 4*l - 4*r + 13 = 3*l, 4*l - 3*r = -39. Let s(a) = -4*a**3 + 7*a**2 + 2*a - 9. Determine l*n(o) + 4*s(o).\nAnswer: 2*o**3 + o**2 - o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 + -5 + (12 - (21 + -10))?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1.1 + 1. Let g = 0.4 - a. Let h = -0.4 + g. What is the third smallest value in -1\/5, -1\/4, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 20685 and 1902429.\nAnswer: 591","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:23 AM and 8:07 AM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 138553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l. Let n be (8\/(-3))\/(4\/(-6)). Let a(v) = 2*v + v + n - 4. Give a(x(j)).\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 2*y = 6*y, -4*y = -4*a + 20. Suppose -6 = a*x - 34. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 times -110229\nAnswer: 220458","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 5*m**2 - m - 7. Let q be l(4). Let p be ((-9)\/6)\/(q\/(-10)). Factor -r**4 - 3*r**5 - 280*r**p + 284*r**3 - r**4 + r**5.\nAnswer: -2*r**3*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c - z = 2*c - 6, 3*c = 2*z - 1. Is 65\/2 + c\/(-2) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -53*l = -48*l - 5*a + 51600, -2*l - 20649 = a. Round l to the nearest one hundred.\nAnswer: -10300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1854 + -1268. What is the remainder when d is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 12222 (base 3) to base 6\nAnswer: 425","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*m + 3101 - 53501 = 0. Suppose 0 = 5*n + 7*n - m. What is the greatest common divisor of n and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 - 1 + l**2)*(-370 - 388 + 940)*(4 + 2 - 3) as o*l**2 + c + z*l and give o.\nAnswer: 546","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -290 + 139 - 13*f + 161.\nAnswer: -13*f + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -9 - (-15 + 42\/6). What is the lowest common multiple of ((-2)\/10)\/(k\/15) and 79?\nAnswer: 237","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 17 and -886.2.\nAnswer: -869.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 2*q + 331 = 3*n, 0 = 2*q + 4. What are the prime factors of n?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -855 divided by -78\nAnswer: 285\/26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of 5*t**2\/2 - 6*t + 1. Let a be q(4). Let j be ((-7)\/a)\/(2\/(-320000)). Round j to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 113\/80190 and 7\/594.\nAnswer: 80190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 50\/187 and 7\/10.\nAnswer: 1870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 180.8782mg?\nAnswer: 0.1808782","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1421133?\nAnswer: 3, 7, 31, 37, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 487439911 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 3\/40 of a minute?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*d - 289675 + 289493 = 0 for d.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.04 + 33.976071713553?\nAnswer: 33.936071713553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 11*l**2 - 132*l**2 + 37*l**2 + 26*l - 2.\nAnswer: -106*l**2 + 26*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -80284\/1133 or -72?\nAnswer: -72","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 822.9227 grams?\nAnswer: 0.8229227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put together 31070031.212 and -0.2.\nAnswer: 31070031.012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.9459191 nanometers in kilometers?\nAnswer: 0.0000000000009459191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*g - 4*g - 6. Find the second derivative of -u - 2*u + u**3 - 2*u**g + 5*u**3 wrt u.\nAnswer: 24*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together -85435 and 0.108.\nAnswer: -85434.892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) -0.5  (c) 6  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(80) + -2 + sqrt(80) + -4 + (sqrt(80) - (1 + sqrt(80))) + -1)*6)**2 + 2)*-2 + -3.\nAnswer: -27655 + 9216*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.92 - 0.08. Suppose 0*h - 6 = -3*h. What is the nearest to 0 in h, i, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 918 divide 20887897?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ccclllzcllxlcl. What is prob of sequence zx?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -229*l = -228*l - 2*d + 4, 5*l - 16 = d. Solve -l*n + 8 = c, c = -4*n + 7*n - 6 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 53 + -37. Suppose -3*k - 2*c = -14, -5*c + c + f = 0. Find the third derivative of 3*x**2 + 2 - 2 - 4*x**3 + k*x**3 wrt x.\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 88\/9 + 8*(-4)\/(-144). Find the common denominator of (1\/c*1)\/((-14)\/47) and -3*(177\/(-54) - 3).\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1.384 + -0.496. Let o = -0.788 + j. Which is the second smallest value?  (a) o  (b) 2  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of -c**5\/20 + 7*c**4\/12 + c**3\/2 - 7*c**2\/2 - c. Let t be 9\/(-10 + 7) - -10. List the prime factors of q(t).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -x**2 + 93*x + 10. List the prime factors of d(40).\nAnswer: 2, 3, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11647 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -64.45 - -62. Let o = 3.05 + x. Is -4\/3 greater than o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = n**3 - 9*n**2 + 20*n - 20. Let h be p(6). Let m be h\/(-18)*(4 - (-119)\/(-28)). Are m and -2\/17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 4 - q**2)*(-3*q + 4*q + 5*q + (-2 + 1 + 4)*(2 - 2 + q)).\nAnswer: -9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2025 - -2040 - (1 - -5 - -1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3\/5?  (a) -4\/79  (b) 1008  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4577 - 1440. Does 8 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -0.0185122, -2\/9, 0?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7424.9 - -7424.9000032167. Round d to six dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence on when two letters picked without replacement from anwnwo?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 41\/7963704 and -67\/32016.\nAnswer: 461894832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = -22 - 44 - 28 + 9 - 17*w. Let i be y(-5). Factor 1\/2*x**2 + x - 1\/2*x**3 + i.\nAnswer: -x*(x - 2)*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 915 + -899. Suppose 9*v = -n*v + v. Solve p - 2 - 3 = v for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -3\/2, -3, -1\/5, -12868, -16\/5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -3  (b) -2\/33  (c) 33\/10  (d) -2  (e) 69\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 4680*g*o*t*w - 4*g*o*t - 459*g*o*w - g*o + 194*g*t*w - 2*g*w - 187*o*w + o + 2 wrt t?\nAnswer: 4680*g*o*w - 4*g*o + 194*g*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes after 6:15 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 3569710*c**2*g**2 - 16*c*g - 151002*g**2 wrt c?\nAnswer: 7139420*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -21973392 divided by -348784\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -415, -823, -1241, -1675, -2131?\n\"Answer: -t**3 + t**2 - 404*t - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-21 - (7 + -15) - 14) + 12?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -3568 bigger than -3567?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -995\/2 + 20891\/42. What is the closest to 0.3 in l, 5, -5, 4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(252\/(-54)*3))\/(-3*14\/3)?\nAnswer: 2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 (base 16) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, z: 1}. What is prob of picking 2 c?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence tjvb when four letters picked without replacement from vvcbpvcpjcct.\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tttttfftffttttttft. What is prob of picking 2 t?\nAnswer: 26\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine o so that -3*o**3 + 6*o**2 - 3*o = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 2383\/7 + -341. Suppose -3*z = 2*w + 22, 2*z + 2*w = -0*w - 16. Let j be ((-30)\/(-8))\/(z\/4). Which is the third biggest value?  (a) 2  (b) j  (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4.9, 5, 111 in decreasing order.\nAnswer: 111, 5, 4.9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 6 - 3. Let y = -20 + 20. Suppose -5*d + 20 = 5*a, -3*a = -y*a - p*d - 42. Solve -4*m = -a*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.709882 tonnes in nanograms?\nAnswer: 3709882000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2753 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12*c*h**5 + 5*c*h**3 + 3*c*h**2 - 2*c*h + 2*h**5 + 4*h**2 wrt h.\nAnswer: -720*c*h**2 + 30*c + 120*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide 2665380?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 183*s - 352*s + 166*s - 54*s**3 + (-s**2 + 2*s**2 + 0*s**2)*(2*s - 5*s + s) to the form f*s**3 + c*s**2 + a*s + g and give f.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (24\/20)\/(2\/15). Let q = 42 + -88. Let g = -43 - q. Solve 0 = 4*w - f - g for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 228 - 222. Solve -5*n = 4*q - 20, -4 = 3*n - 2*q + w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 14*u**5\/11 + 176*u**4 + 56658*u**3\/11 - 726680*u**2\/11 + 668072*u\/11 = 0. What is u?\nAnswer: -74, 0, 1, 61\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.7 - -3.7. Let q = -10 + 16. Let f = q - 7. Is f != n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 33584 - 18182. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -196, -195, -194, -193, -192?\nAnswer: -191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 5  (b) -152  (c) 0.1  (d) 8.7  (e) 2\/5  (f) -0.02\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-9 - (-931)\/95)*(-15)\/(-2). Solve 10*x - 4*p - 12 = l*x, 0 = -2*p for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -14*n**3 - 10*n**4 + 15 + 5*n**5 + 40*n**2 - 15 - 6*n**3 = 0.\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7837 by -5.\nAnswer: -7837\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-four fifths of a gram in milligrams?\nAnswer: 10800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 55057676 a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7880\/(-40)*(-2 + (-6)\/(-1)). Let x = 1159 + v. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 3804 and 12 + (-8 + 6 - -22)?\nAnswer: 30432","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 132 and 2079.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*t + 3*p + 156, -2*t = 5*p - 57 - 75. What is the tens digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = -q**3 - 5*q**2 + 12*q + 32. Determine a(-8).\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*x - b = 5*x + 3*b - 6, 154 + 436 = 2*x + 69*b + 129*b for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -46*u + 1107 - 969 = 0. Let a(i) = -14*i + 60. Let n(h) = 5*h - 20. Determine u*a(d) + 8*n(d).\nAnswer: -2*d + 20","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -91, -257, -701, -1561, -2975, -5081?\nAnswer: -8017","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -288 - -654. List the prime factors of x.\nAnswer: 2, 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -35b + 3167?\nAnswer: 2b09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 4*n + 3 = 0. Let m be 2*(-6)\/(-3) + -2. Suppose -3 = m*t - 11. Is t < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-3)*j)**(-41) assuming j is positive.\nAnswer: j**82","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = 3, y - 3*y + 4*w = 6. Suppose -560 = -2*s - y*s. Calculate the greatest common factor of 14 and s.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = c**3 + 27*c**2 + 46*c - 243. Let i be y(-24). What is the greatest common divisor of i and 3175?\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 44 minutes after 6:09 AM?\nAnswer: 6:53 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*r - 27*r - 13*r + 10*r.\nAnswer: -37*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i + 5*o - 3 = 15, 5*o + 10 = 5*i. Suppose -3*y - i*l + 133 + 46 = 0, -144 = -3*y + 3*l. Does 12 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2457 + -1?\nAnswer: -2460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2313 is divided by 334?\nAnswer: 309","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3112 is divided by 192.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that -2*y**3\/7 - 5592*y**2\/7 - 3840840*y\/7 + 95428800\/7 = 0.\nAnswer: -1410, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -40, -152, 9 in decreasing order.\nAnswer: 9, 2, -4, -40, -152","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 14.77728 litres to millilitres.\nAnswer: 14777.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 2143 a factor of 1272942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -2*f**3 - f**2 - 2*f - 1. Let c be d(-1). Suppose -7*u = -c*u. Suppose -2*t - 27 = -33. Solve z - 3*o = 8, 0 = -z - t*o - u + 2 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes before 4:42 AM?\nAnswer: 3:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 19\/16 and 133\/30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, j: 1, r: 8, w: 1, g: 2, y: 2}. What is prob of picking 1 r and 1 j?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Express -42*p - 18*p + 13 - p + 125*p as q*p + r and give r.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) be the third derivative of -q**6\/60 + 11*q**5\/15 - 3*q**4\/2 + 2*q**3\/3 + 3*q**2 - 4. What is the second derivative of c(p) wrt p?\nAnswer: -12*p + 88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 16 = -3*r. Let y(t) = t**3 + 5*t**2 + 5*t + 6. Let w be y(r). Let j = -1 + w. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from olllof. Give prob of picking 1 f, 1 o, and 1 l.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"}
{"text":"Question: Evaluate 177 - 178 - (-32 - 1) - 14.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = b**2 + 26*b + 82. Give c(-22).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 266, -300, 0.5, -4, -2\/9 in decreasing order.\nAnswer: 266, 0.5, -2\/9, -1, -4, -300","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 1 = -q. Let u = q + 27. Suppose 0 = -k + 2*l + 7, 3*l + 12 = 2*k. Solve 0 = -3*c - 4*r - u, k*r = 6*r + 9 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify f**(-8)*f*f**(6\/17) assuming f is positive.\nAnswer: f**(-113\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 16269.\nAnswer: 3, 11, 17, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1*(0 - 1)*5. Suppose -10 = -5*a + 10. Sort a, 0, t in ascending order.\nAnswer: t, 0, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 7*o**3 + 9*o**2 - 5*o - 6. Let m(v) = v**3 + v**2 - v - 2. Give i(x) - 4*m(x).\nAnswer: 3*x**3 + 5*x**2 - x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 3*h + 12 = 0. Let y = 1.4 + -0.6. Let g = y + -0.5. Which is the closest to -0.1?  (a) 0  (b) g  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1275)*4 - sqrt(1275))*5)\/(-3*(sqrt(27)*-4)\/sqrt(9)).\nAnswer: 25*sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Product of -90.3 and 1339.\nAnswer: -120911.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -8375, -16750, -25125, -33500?\n\"Answer: -8375*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 376 minutes after 7:50 PM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -m**2 - 1707*m + 469468.\nAnswer: -(m - 241)*(m + 1948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/27 of a day in seconds?\nAnswer: 3200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 251287 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the first derivative of i**5\/40 + i**4\/8 + i**3\/6 + i - 4. Let z(y) be the first derivative of h(y). Factor z(g).\nAnswer: g*(g + 1)*(g + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 310 and 3830.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1062 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 3967 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = k**2 - k - 12. Let q be d(4). Suppose 3*c = -q*c + 1038. List the prime factors of c.\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = q**3 - q**2 + 2*q - 1. Let c be m(1). Let i(r) = 5*r - 1 - 2 - 1 + 2*r**2 + c. Is 2 a factor of i(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 756?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4361, -8732, -13111, -17498, -21893, -26296?\nAnswer: -30707","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -337736140 divided by -530.\nAnswer: 637238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-3)\/2*(-264)\/99. Suppose 12 = r*u + j, 4*u - 6*u + 12 = -j. Solve -20 = 5*s, -5*o + s = -3*s + u for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 16) to base 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**2 - 10*d - 11. Let o be w(12). Let v(m) = 2*m**2 - 20*m + 36. Does 9 divide v(o)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = -38*w**3 + 72*w**2 + 43*w - 81. Give m(2).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1813\/5*t + 1\/5*t**4 + 31\/5*t**3 + 357\/5*t**2 + 686 = 0. What is t?\nAnswer: -10, -7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-7 + 4)*16\/6. Let q = 1 - h. What is the least common multiple of q and 32?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -44*y**2 - 3163 + 3163.\nAnswer: -44*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 45*b - 3*c - 25 = 46*b, 0 = -2*c - 18 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1, -0.05, -1\/9, 3?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -25bf637 - e?\nAnswer: -25bf645","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pppnpnppp. Give prob of sequence nppp.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: ((-10)\/7)\/(6*8\/(-56))\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 9945?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -2*g - 3. Let o = g - 0. Let n be ((o - 1) + 4)*-2. Sort 4, n, 0 in decreasing order.\nAnswer: 4, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 53*s**2 - 40*s - 161. Is c(-10) a multiple of 163?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 + 0 - 4 - 2 + 3*b**3 - b**4 + 3*b in the form x*b**3 + j*b**4 + k*b + d + z*b**2 and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6\/(11 + -8) + 4\/6?\nAnswer: 8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 5*q**2 + 81*q + 160. Let f be k(-14). Let d(j) = 20*j + 49. Let a(r) = -39*r - 98. Let u(m) = -4*a(m) - 7*d(m). What is the hundreds digit of u(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 56 + 33.288\nAnswer: 89.288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 + (8 - (0 + 17)) + 13?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 10 + (0 - 0)\/(-2). Which is bigger: m or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ssssssssassssassss. What is prob of sequence ssas?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b**4 + 3*b**4 + 0*b**4)*(-2*b + 3*b + b) - 244 - 201 + 3*b**2 + 90*b - 15*b**5 + 451.\nAnswer: -13*b**5 + 3*b**2 + 90*b + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = 0 + 2 + 13*j + 20. Calculate the lowest common multiple of 8 and a(8).\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 0*n = -54. Solve -n = -6*b + 12 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54\/17 + 827\/255. Let f(p) be the second derivative of -2\/45*p**6 + 1\/9*p**4 + 4*p + g*p**5 + 0*p**2 - 2\/9*p**3 + 0. Solve f(y) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -14 + 7 - 3*v**2 + 7. Let c(u) = 11*u**2. What is c(l(p))?\nAnswer: 99*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 469 - 811. Does 16 divide (-4)\/14 - p\/21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 548483445 by -123.\nAnswer: -4459215","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 58, 185, 398, 697, 1082?\nAnswer: 1553","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:19 AM and 12:17 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dkf when three letters picked without replacement from nzkznnkkznzfdd?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 12772?\nAnswer: 2, 31, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 252 and 13086668.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 529484558 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 72\/63*(11 - (-585)\/(-52)). Which is the closest to 3?  (a) -1\/26  (b) 2  (c) z  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -3203.036099 and 0.1.\nAnswer: -3202.936099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*n + 3*n + 38 = 0. Let s = n - -5. Suppose -3*i + s = -39. Calculate the greatest common divisor of i and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.0358 + 0.0363332. Round i to four dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.02*-16.5\nAnswer: -0.33","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) be the first derivative of b**3 - 9\/2*b**2 + 0*b + 29. What are the prime factors of v(5)?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -3  (b) -0.5  (c) 5328  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w**(-3\/4)*w*w))**(-15\/7)*((w\/w**2)\/w)**(-14) assuming w is positive.\nAnswer: w**(859\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 3\/2  (b) -2\/5  (c) 0.1  (d) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2 - 2)\/(7 - 6). Let n(w) = w - 5. What is n(x)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 47627 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1024*q + 2779*q + 4856*q - 234*q - 1587*q)*(-q - 2*q**2 + q).\nAnswer: -13676*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, l: 3}. Give prob of picking 2 l.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 51 + -39. Suppose -r*c + 4*c = -16. Solve 0 = -7*o + c*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2 + -46. Suppose 0 = 6*d - d + 320. Let n = h - d. Is n a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qw when two letters picked without replacement from {s: 1, t: 1, q: 1, w: 12, j: 2}.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 16\/7, 0.3, -2\/7, 2565 in descending order.\nAnswer: 2565, 3, 16\/7, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4723023 to the power of 1\/2, to the nearest integer?\nAnswer: 2173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 263004 and 372.\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/(-196)*(-21)\/(-4)*40\/3?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -85\/202 and 89\/71382?\nAnswer: 7209582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -16*y**4 - 94*y**3 - 2056*y + 7. Let a(n) = 11*n**4 + 63*n**3 + 1371*n - 5. Let v(w) = 7*a(w) + 5*m(w). What is the second derivative of v(g) wrt g?\nAnswer: -36*g**2 - 174*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 131298361 to the power of 1\/4, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*t - 13 = -4*a - 5*t, -2*t - 2 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 201134 (base 5) to base 10\nAnswer: 6419","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 220 = -o. Suppose 0 = -5*z - o - 150. Let p = -29 - z. Solve -5*b + 2*b = p for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (9 - 65\/5) + -399*1. Round o to the nearest 10.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20\/9 of a week in minutes?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 2554 divide 15709654?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 260 - 260.00053. What is h rounded to three dps?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 258982 = -5*f, f + 252*m - 254*m = 51791. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 26 + -1 + -107 + 126 + 11?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1223031 (base 4) in base 11?\nAnswer: 5178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q + 13. Suppose 0 = z - 5*z + 164. Calculate the remainder when z is divided by f(8).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38795, 38796, 38797, 38798?\nAnswer: 38799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n + 1 = 2*b - 5*b, 0 = -2*b - 6. Let w be n + -1 + -7 - 2. Is (-194)\/3*(w + (-18)\/12) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (19 - (-33 - -187)) + (-14 - -32)?\nAnswer: -117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3\/((-72)\/20)*(-6)\/30\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 190513 and 15451237.\nAnswer: 703","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 17, 9 in increasing order.\nAnswer: 0, 9, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = -2 + 10. Let j be 13\/117*2*x. Which is smaller: j or -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -19 - (9 + (-87)\/3). Let y(m) = -m**2 + 1. Let d(i) = -2*i**2 + 2*i + 3. Give n*d(l) - 4*y(l).\nAnswer: 2*l**2 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 h when four letters picked without replacement from ihhiihhh.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 24769, 24848, 25031, 25360, 25877, 26624, 27643?\nAnswer: 28976","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 689736 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1944)\/(-45)*30\/9. What is the greatest common divisor of y and 792?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/4 + 1347\/6 + 0 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 35810 + 1?\nAnswer: 35811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 8\/(-12) - (-17313801)\/(-99). Let u = z + 175039. Let c = 32539\/220 - u. Find the common denominator of c and -81\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:19 AM and 2:08 PM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1011351079 to the nearest integer?\nAnswer: 31802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 55980 and 720.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand 14*s + 22*s + s + 5*s - 7 + 7 + (-11*s + 14*s - 8*s)*(5 + 2 - 4).\nAnswer: 27*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -40875, -3, 5, 3 in decreasing order.\nAnswer: 5, 3, 1, -3, -40875","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 4*x**2 - 8*x + 13. Let m(r) = 11*r**2 - 24*r + 40. Let p(w) = -8*g(w) + 3*m(w). Factor p(u).\nAnswer: (u - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2138872 and 1088.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: 5 times -0.32\nAnswer: -1.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*b = -3 - 7. What is the remainder when 2*b*(-3)\/(-12) is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 115483, 115505, 115527, 115549, 115571, 115593?\n\"Answer: 22*z + 115461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 48884, 97641, 146398, 195155, 243912, 292669?\nAnswer: 341426","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*d = -8*d. Suppose -3*o = -2*r + 3, 1 = r - 2*o - d. Suppose 0*v - 236 = -4*t - r*v, -5*v + 236 = 4*t. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -126*p + 818*p**2 - 78*p + 205*p to a*p**2 + n*p + l and give a.\nAnswer: 818","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 142 divide 588164?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -0.0496*-4.089\nAnswer: 0.2028144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*a + 6 = -4*q, a - 5*q - 4 = 2. Let s(l) = -l. Let o = 22 + -26. Let j be (-51)\/(-9) - o\/(-6). Let x(m) = -m**2 + 4*m + 2. Calculate a*x(v) + j*s(v).\nAnswer: -v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8546934.\nAnswer: 2, 3, 11, 129499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7.5 + 1.5. What is the second smallest value in -1\/6, 5, x?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 7 + (-9 + 1 - -1)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) be the third derivative of -79*u**6\/60 + 2*u**4 + 53*u**2. Find the second derivative of d(h) wrt h.\nAnswer: -948*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = 3*i**2 + 8*i + 19. Let q(t) = -2*t**2 - 4*t - 10. Let f(w) = 3*p(w) + 5*q(w). Let z be f(5). Factor 1 + x**z + x - 6*x**2 + 3*x**2.\nAnswer: -(x - 1)*(2*x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6825 + d**3 - 6825 + 11*d**3.\nAnswer: 12*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - g + 6 = 0. Let r be (-4)\/(g + -7) + 403. Suppose 5*i + 49 = r. Is 22 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 7.853 - 9.853. Which is the smallest value?  (a) s  (b) 100  (c) 15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 14*u**2 + 34*u + 960. Let l(s) = 20*s**2 + 50*s + 1440. Let d(i) = -5*l(i) + 7*p(i). What is the derivative of d(x) wrt x?\nAnswer: -4*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 12 = -q. What is the closest to -0.3 in q, -0.5, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-2)\/((-540)\/75))\/(139\/(-417))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q*q\/(q*q**1*q))\/q)**(-2\/15)*q*q**(-2\/3)*q**(1\/9) assuming q is positive.\nAnswer: q**(32\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -8\/47, 6, -4, 3, 2 in ascending order.\nAnswer: -4, -8\/47, 2, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -69 + (-10992)\/(-160) - (-1)\/5.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(w) = w**3 + 4*w**2 + w - 2. Let i be (-63)\/36 + (-2)\/8. Let s be r(i). Solve 0 = d + s - 8 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*797\nAnswer: 239.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 14292 and 4950?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 5095?\nAnswer: -1\/5095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -242 - -242. Suppose n + c*n = 11. Let j = 18 + 26. What is the greatest common divisor of n and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dl when two letters picked without replacement from {w: 1, l: 3, k: 2, d: 4}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.4683 + 0.0317. Let z = 0.8 - 0.4. Sort -2\/21, m, z.\nAnswer: -2\/21, z, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 11\/8 of a hour?\nAnswer: 4950","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - 10) + (32 - 18)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -53464*x - 160231. What is k(-3)?\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-3) - (-3)\/7.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 178973 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -r - 1. Let m(j) be the first derivative of -j - 440 - 3\/2*j**2. Suppose -2 = 3*o + 4. What is o*m(a) + 5*b(a)?\nAnswer: a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*o**3 + 17076*o**2 - 4131124*o + 35794044.\nAnswer: 4*(o - 221)*(o - 9)*(o + 4499)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 41595, 3, 13 in decreasing order.\nAnswer: 41595, 13, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 23*y**4 - 24469*y**2 - 1873752?\nAnswer: 92*y**3 - 48938*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 42 + -169\/4. Let k = -11 + 10.3. Let h = k + 0.4. Which is the closest to h?  (a) 4  (b) q  (c) 4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k*k**(5\/4)\/k)\/k*k**(-1\/7))\/((((k**(-2\/25)\/k)\/k)\/k)\/k*k*k**(3\/7)\/k*k) assuming k is positive.\nAnswer: k**(1931\/700)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l + 8, 3*l - 8*l - 20 = 4*p. Suppose 5*o + 2 = -v, -3*v - 3*o + p*o + 6 = 0. Solve 9\/5*w**v - 3\/5*w**4 + 0 + 0*w**2 - 12\/5*w = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(285)\/(sqrt(10)\/sqrt(2)))\/sqrt(3) - (-2 + sqrt(1216)*2))**2.\nAnswer: -60*sqrt(19) + 4279","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -25*s**2 + 7 - 10*s - 7 + 12*s.\nAnswer: -25*s**2 + 2*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.0522*5\nAnswer: -0.261","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10084674.\nAnswer: 2, 3, 1680779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -5, -272, -0.05, -2\/17?\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v - 63. Let r(l) = -l + 31. Let u(x) = 4*h(x) + 7*r(x). Let c be u(-12). Which is bigger: c or -1\/21?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 3*h - 29 = 0, h + 4 = -3*m - 24. Suppose -22 = r + 3*o, -2*r - 2*o = -6*o + 24. Let d = m - r. Solve -4*l = -d*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*f - 4*t + 86, 8 + 39 = f + 5*t. Let j = 25 - f. Calculate the remainder when 6 is divided by j.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the third derivative of q**6\/120 + 3*q**5\/20 - q**3 + 23*q**2. Calculate v(-9).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -307, 4\/195, -2?\nAnswer: 4\/195","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -948 (base 14) to base 7.\nAnswer: -5221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 10297 - 6086. Is 46 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4770613674.\nAnswer: 2, 3, 265034093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15\/25*(-18400)\/(-690).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 82*j**2 + 78*j**2 - 162*j**2.\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of -2769*x**6\/10 - 37*x**4\/3 + 15*x**2\/2 - 6093*x. What is the third derivative of i(l) wrt l?\nAnswer: -199368*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(495) - 5*-1*sqrt(495) - sqrt(495))\/((sqrt(11) + -2*sqrt(11))*4))\/((sqrt(54)\/sqrt(150) + sqrt(675)\/sqrt(3))*3).\nAnswer: -25*sqrt(5)\/312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -i**3 + 11*i**2 - 29*i + 3. Let j be v(5). Suppose 0 = -8*p - j + 40. Solve 0 = -p*h + h - 6, l + 3*h + 1 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22869165?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8750*w + 4430*w + 4295*w.\nAnswer: -25*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 7151 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6 + 5.76. Let x = 0.06 - p. Which is the third biggest value?  (a) 2\/9  (b) -4  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*t**5 + 908*t**4 + 1770*t**3 - 17216*t**2 - 18080*t = 0. What is t?\nAnswer: -452, -5, -1, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -4349010 divided by 2?\nAnswer: -2174505","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.2 and -163.5?\nAnswer: 359.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Are 103364 and 103366 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 - -30. Suppose 2*d - v*j = -3*d + 12, -16 = -4*j. Suppose 0 = -2*a - 0*a + 14. Calculate the remainder when a is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = 61*w**2 - 169*w - 732. What is d(-4)?\nAnswer: 920","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -1673562, -1673845, -1674132, -1674423?\n\"Answer: -2*m**2 - 277*m - 1673283","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/100)\/((-17)\/21760*-8).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 7633296?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 2002217, 2002212, 2002195, 2002160, 2002101, 2002012?\n\"Answer: -h**3 + 2*h + 2002216","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 5 - 0 - ((44 - 15) + -32)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 4*u + 3. Let q(c) be the third derivative of 13\/6*c**3 + 0*c + 0 - 2*c**2 + 17\/24*c**4. Determine -9*h(l) + 2*q(l).\nAnswer: -2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 110655, 442709, 996119, 1770873, 2766959, 3984365, 5423079?\nAnswer: 7083089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a gram in micrograms?\nAnswer: 60000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 20212 (base 8) to base 9\nAnswer: 12375","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Add 7 and 3016821.\nAnswer: 3016828","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -53 - -114 - (45 - 15).\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the third derivative of -a**5\/60 - a**4\/6 - a**3\/2 - 7*a**2. Let v be m(-3). Solve v = -5*r + 10, d + 2 + 0 = r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1225 and 5575.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 4*g**3 + 2*g**2 - 5*g + 4. Determine v(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -456\/25, 0.2, 39841 in decreasing order.\nAnswer: 39841, 0.2, -456\/25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63429017.\nAnswer: 63429017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/(210\/156) + 2\/7. Let u be -9 + p - (-4)\/(16\/(-12)). What are the prime factors of 235 + 1 - (-7 - u)?\nAnswer: 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uub when three letters picked without replacement from buuuuuuuuuubu?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of n**3\/3 + 19*n**2\/2 - 25*n - 16. Let r be a(-20). What is the tens digit of (0 + r - 232)\/(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -2088891*j**2 - 4*j + 7. Let c be u(-3). Round c to the nearest one million.\nAnswer: -19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of 3\/4*b**4 + 0*b + b**3 + 1 + 0*b**2. Find the third derivative of p(l) wrt l.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 5 - 14 = 0. Let y be 16\/h + 5\/15. What is the closest to -1 in 1, -3\/5, y?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 14.836 * 0.331.\nAnswer: 4.910716","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 2 = -5*s, -4*s - 4 = -2*n - 0*n for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(1\/2)\/x**(2\/15))\/(x**(-1\/4))**(10\/13) assuming x is positive.\nAnswer: x**(109\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 + 6 - 4)*(2*f + f - f) + 0*f + f - 2*f - 5 + 5 + 5*f)*(5*f + 17*f**3 - 5*f).\nAnswer: 34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2 - 30*w + 386. Determine a(10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3366538 and 12.\nAnswer: 20199228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 11316125 = 11316124?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 4 + -5. Is (-1)\/1 + i + 201 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 5134599 * 1.\nAnswer: 5134599","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 48720\/21315*35\/3. Factor 8\/3 - 12*v**3 + i*v**2 - 52\/3*v.\nAnswer: -4*(v - 1)**2*(9*v - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -11 - -10. Let q be (-282264)\/(-30) - (-8)\/(-10). Let o(b) = -16*b + 9408 - q. What is o(c)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = -5*z**2. Let m(p) = -2800532*p**2. What is b(m(c))?\nAnswer: -39214897415120*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -0.5  (b) -84  (c) 3  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*c + 16 = 4*c. Suppose -c = -3*a - 5*f + 3, -5*f = -2*a + 21. What is the remainder when 14 is divided by a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -11596324 - 2.8.\nAnswer: -11596326.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1123146*u**4 + 1039516*u**2 wrt u.\nAnswer: -26955504*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -25157, -50311, -75465, -100619, -125773?\nAnswer: -150927","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -11958 - -3695018\/309. What is the common denominator of 62\/9 and r?\nAnswer: 927","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -6*u + 6. Let o be c(2). Sort 0, 4, o in decreasing order.\nAnswer: 4, 0, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) - (((-2*(-2 + sqrt(432)) - sqrt(432)) + sqrt(432))**2 + sqrt(432)) - (sqrt(432) + 0)*-1) + 2.\nAnswer: -1742 + 204*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 35 - -1a6?\nAnswer: 20b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -32 + 97?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 509895.\nAnswer: 3, 5, 1259","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 24648564 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -127 - -199. Is t a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15 + 30 + -51 - (38 + 0)\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*i - 0 + 10. Suppose x = 2*d + 1, 0 = -3*x - x - i*d - 22. Let c(w) = 5*w - 2. What is c(x)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = 18*q - 38*q + 8*q + 13*q - 6. Calculate d(-6).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 3, -1004, 1, 2, 8 in descending order.\nAnswer: 8, 3, 2, 1, -4, -1004","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 45 - 412*r**2 - 3*r**3 + 6*r**3 - 4*r**3 + 491*r**2 wrt r?\nAnswer: -3*r**2 + 158*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 79, 112, 167, 250, 367, 524, 727, 982?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = 15*z**2 - 5*z - 2. Let u be g(-2). Suppose -5*o + 4*r + 116 = 0, -2*r - u = -4*o + o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h + 8. What are the prime factors of k(11)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 31?  (a) 13\/4  (b) 2  (c) -11\/5  (d) -17  (e) -1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**2 + 5*w - 35. Suppose -p = -0*p - 3. Calculate the remainder when p is divided by h(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 118*b**3 - 373 - 177*b**5 + 493 + 2*b - 118*b**3 wrt b.\nAnswer: -3540*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*((-5)\/15)\/(2\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.29 - -0.3. Let g = 0.11 - r. What is the nearest to 1 in 1, -0.5, g?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*t**2 - t**2 - t**2)*(-46 + 49 - 4 - 524*t) to the form s + q*t**2 + a*t + j*t**3 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 67 - 72 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 15244, 30483, 45722?\n\"Answer: 15239*k + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 35\/32 and 27\/160.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -54, -33, -0.5 in increasing order.\nAnswer: -54, -33, -3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = -z**2 - z + 2. Let s be d(2). Let f = s + 8. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*t = -55*t - 114*t - 6783 for t.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**21*z)\/(z**(1\/19)*z))**(2\/31) assuming z is positive.\nAnswer: z**(796\/589)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round -33403.9677 to the nearest 100.\nAnswer: -33400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*z = 11*z + 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q = 4*g - 80, 2*g - 60 = -g + q. Solve -l - g = -5*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/y**(5\/8))\/y**13*(y**(-9))**(3\/13))**(-7) assuming y is positive.\nAnswer: y**(10703\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.46 and 26.\nAnswer: 37.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 11 - 8.9. Let o = -0.9 - j. Let x = 6 + o. What is the smallest value in 0.4, x, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7464 and 2160?\nAnswer: 671760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -47*s + 97 + 70 = -162. Suppose -t = 2*d - 3*t - 18, -3*t - 17 = -2*d. What is the least common multiple of 66\/d + (-2)\/(-5) and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from iihiiihhhihhihhh?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*m**2 - 37 + 37)*(-2 + 4 - 10)*(-1 + 2 - 4).\nAnswer: 96*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the second derivative of -5*j**9\/504 - j**5\/20 - 3*j**2\/2 + 3*j. Let h(y) be the first derivative of m(y). Find the third derivative of h(n) wrt n.\nAnswer: -600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -6*t**2 + 311*t + 31. Calculate p(52).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -6, -33, -122, -303, -606?\n\"Answer: -5*h**3 - h**2 + 11*h - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -2355406832 plus -121?\nAnswer: -2355406953","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 2585.9 rounded to the nearest 10?\nAnswer: 2590","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23 + -45\/2. Sort 1\/5, -0.5, w in ascending order.\nAnswer: -0.5, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 493 minutes before 7:37 PM?\nAnswer: 11:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 84*f - 64*f for f.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 853?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 170 + -348. Let k = 892\/5 + q. Is k smaller than 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1085*o**4 - 2102*o**3 - 11*o**2 - 528316.\nAnswer: -26040*o - 12612","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h - 31 = -2*m, 2*h - 112 + 138 = 2*m for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -14, -16, -14, -8, 2, 16?\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(c) = 16*c. Let w(t) = 4*t. What is w(z(k))?\nAnswer: 64*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10519 and 511663?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-98)\/539 - (783\/11)\/(-1). Let w = -71 + r. Suppose l = -0*l + 2. Solve w*p = p + l for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -7 + 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {d: 3, c: 4}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-five quarters of a tonne in kilograms?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/(-9)*-3*4*(-18)\/(-288).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*f - 4*v + 26, -5*f + 25 = 2*v + 7 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 439 minutes after 10:42 AM?\nAnswer: 6:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -5938.48932 rounded to the nearest ten?\nAnswer: -5940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 PM and 1:30 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 52120817 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -902543, -1805053, -2707527, -3609971, -4512391, -5414793, -6317183?\nAnswer: -7219567","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (4\/(-10))\/(14\/70). Let f(g) = -g**3 - g - 3. Let u be f(0). Sort y, -4, u in descending order.\nAnswer: y, u, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = c. Let y = -11 - -11. Let d(x) = y*x**2 + 4*x**2 + 9 - 9. Determine d(g(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -f - 137 + 530 - 254 - 137.\nAnswer: -f + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -727*t + 721*t - 48 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15\/15571 + 3626708\/1385819. Which is smaller: z or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 568.906 to the nearest one hundred.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -300?  (a) -3  (b) -2\/15  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -88*b**2*t**2 + b**2*t + 27*b**2 + 33*b*t**2 + 12*b*t - 7*t**2 + 133*t wrt t.\nAnswer: -176*b**2 + 66*b - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**3\/5 - 789*h**2\/5 + 9069*h\/5 - 8283\/5 = 0. What is h?\nAnswer: 1, 11, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**2. Let v(w) = 68*w. Calculate x(v(d)).\nAnswer: -4624*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 6.098118 nanoseconds?\nAnswer: 0.000000006098118","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 820?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = -t**3 - t**2 - t - 1. Let n be p(-1). Suppose -3*b - 1 - 83 = n. What is the remainder when (-231)\/14*b\/6 is divided by 39?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) be the third derivative of -187*i**6\/120 + 137*i**3\/2 - 441*i**2. Find the first derivative of p(g) wrt g.\nAnswer: -561*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g, 1 b, and 1 x when three letters picked without replacement from {b: 2, v: 1, x: 8, h: 1, g: 1, p: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-106)\/(-10) - -21*(-1)\/35. Let w be (77\/14 - 4)*v. Calculate the highest common divisor of w and 80.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 3 + 5)*(-38*d**4 + 38*d**4 + 8*d**5 + (-3 - 1 + 5)*(85*d**2 - 85*d**2 - 9*d**5)).\nAnswer: -d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 - 6*o**2 - o. Let d be m(5). Calculate the lowest common multiple of 5 + -2 - (1 + 0) and (-1 + -9)*18\/d.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*u - 23. Let b be (u\/4)\/(-7 - 3015\/(-432)). What is the highest common factor of 48 and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*j = 4*j - 6. Let i(r) = r - 2. Let p(a) = a - 1. Let t(g) = j*i(g) + 4*p(g). Differentiate t(v) wrt v.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0021069 to three decimal places.\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.56 - 0.04. Let r = 24652 + -24654. What is the third biggest value in r, 4, 0, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3, 5, 14, -52?\nAnswer: -52","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 21323 + 12114?\nAnswer: 33441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -0.1106 - -729212.38\nAnswer: 729212.2694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l**2 + 151*l - 273. What is h(2)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*q + q + 0*q + (41653 - 126*q - 215*q - 41658)*(-1 + 2 + 0) to the form o + l*q and give o.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:05 AM and 5:35 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 n when two letters picked without replacement from {n: 2, v: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 4948258 and 1445.\nAnswer: 24741290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 5, 0.2, -6, -127?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f + 4. Let r be x(-5). Let o(h) be the first derivative of 11*h**3\/3 + h**2\/2 - 53. List the prime factors of o(r).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 20710, 20692, 20674?\n\"Answer: -18*d + 20728","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d + 5*w - 5 = 0, -36458*w = -5*d - 36461*w - 13 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 340 - 368. Let x = y - -33. Calculate the remainder when 13 is divided by x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1d + -2a0c?\nAnswer: -2a29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine n so that -2*n**5\/9 - 106*n**4\/3 - 70*n**3 - 314*n**2\/9 = 0.\nAnswer: -157, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((5*((sqrt(396) - (sqrt(396) + 0)) + sqrt(396)))**2 - (sqrt(2673)*-2)\/sqrt(3)).\nAnswer: 90*sqrt(11) + 49500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 120 and 15930.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -345*i - 119*i + 13366 + 4074 = 2592 for i.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/180)\/((-2)\/(-18)).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1238 is divided by 140.\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 2498571 and 912720.\nAnswer: 199885680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1060*h**6 + 3*h**5 - 32*h**4 - 6072*h**2 - h - 12.\nAnswer: 127200*h**3 + 180*h**2 - 768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 52*f - 12. Let p be b(1). Factor p*z**2 + 375 + 4*z - 375.\nAnswer: 4*z*(10*z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence dzm when three letters picked without replacement from {p: 1, m: 1, d: 5, z: 9}.\nAnswer: 3\/224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 188 and 77644.\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4 = -0, -5*r - 4*b = -115000008. Round r to the nearest 1000000.\nAnswer: 23000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 15*b*t**2*x**3 - 134*b*t**2*x - b*t**2 - 18*b*t*x + 81550*b*x**3 - 5*b - t**2*x**2 + 39*t**2 wrt x?\nAnswer: 90*b*t**2 + 489300*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = -176*b - 176. Let r(p) = -25*p - 25. Let q(o) = -6*h(o) + 44*r(o). Let v(w) = -w**2 - 88*w - 87. Let k(t) = -7*q(t) + 4*v(t). Solve k(z) = 0 for z.\nAnswer: -10, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 - 6\/(-9)*243\/18\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) be the first derivative of -5*n**2\/2 - 11. Let i(s) = 2*s**2 - 2*s. Let c(x) = -2*x**2 + 3*x. Let h(u) = -2*c(u) - 3*i(u). Give h(p(l)).\nAnswer: -50*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -0.4, -1\/4, 30\/11, -1?\nAnswer: 30\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (4 - (-1 + 4 + 3))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 8*t**2 - 42*t + 5. Let w be u(8). Suppose 5*z = -5*d + 2*z + 16, 14 = 4*d + 3*z. Suppose -5*j - w = -d*b - 2*b, 0 = 5*j + 5. Does 11 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -9 - -9.82. Let a = 0.834 - b. Round a to 2 decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = -z**3 + 10*z**2 - 9*z + 6. Let f be x(9). Suppose f + 9 = 5*g. Let n = 13 - 5. What is the smallest common multiple of g and n?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 101*c**2 - 65*c**5 - 200*c**2 + 102*c**2 + 5*c wrt c?\nAnswer: -3900*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300 is divided by 287.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 7, a: 7}. Give prob of picking 3 a and 1 f.\nAnswer: 35\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the first derivative of -d**3\/3 - 5. Let q(y) be the third derivative of 5*y**4\/24 + 2*y**2. Calculate q(v(n)).\nAnswer: -5*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put -2\/5, -877, 0, -0.13 in descending order.\nAnswer: 0, -0.13, -2\/5, -877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:22 AM and 11:49 AM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -188 (base 15) to base 7.\nAnswer: -1013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -35\/312 - -2\/13. Let i(k) be the third derivative of 1\/30*k**5 + 1\/120*k**6 + z*k**4 - 7*k**2 + 0*k + 0*k**3 + 0. Factor i(y).\nAnswer: y*(y + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 4749 - 3127. Does 30 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(1\/12)*v\/(v*v**17*v)*v**(1\/18)\/((v*(v\/v**(4\/7))\/v)\/v))**22 assuming v is positive.\nAnswer: v**(-47927\/126)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-33)\/(-9) + (-1)\/(-3). Let c(r) = 2*r**2 + 13*r + 8. Let g be c(-6). Solve g*v - 2*t = 6*v + 18, 0 = y*v - 2*t + 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-119)\/35 + 4)\/((-1)\/(-5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 105300 and 972.\nAnswer: 315900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vwll when four letters picked without replacement from {w: 1, v: 2, l: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k. Let o(w) = w**2 - w - 2. Let a be o(2). Suppose 4*m = -a*m. Let p(l) = 3*l + 2*l + m*l. Give c(p(b)).\nAnswer: 5*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.1, 837, 145, 0.3.\nAnswer: -0.1, 0.3, 145, 837","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 650?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -11288.2 + 11288. What is the fourth biggest value in -0.1, 1\/53, 3, -3\/4, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4744649461 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 1887 = c, -216*j + 5727 = 3*c - 220*j. Is c a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 520 + -448. Let d = q + -1510\/21. Sort d, 3, 2\/9, -2 in descending order.\nAnswer: 3, 2\/9, d, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -47\/210 and -155\/12636?\nAnswer: 442260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve g - 30384 + 30355 = d, g = -4*d - 106 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 161 divide 24025?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/10 and 41\/5222882.\nAnswer: 26114410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, -1.2, 2402, -4.\nAnswer: -4, -1.2, -0.5, 2402","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 11*n - 2884 + 387. Suppose -4*a = -t - 9 + 541, 3*t = -a - 146. Let d = n + a. List the prime factors of d.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express c**3 + c**2 + c**2 - 10*c**3 as k*c**2 + d*c**3 + h*c + z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -19 + 29*f + 20 + 2*f + (2 - 5 + 2)*(-2 + 2 + 2*f) + 0 + 0 - 2*f.\nAnswer: 27*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*j**4 + 4*j**3 + j**2 + 66*j - 82?\nAnswer: -24*j**2 + 24*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -128.9 in 2\/9, 0.1, -76, -0.2, 3\/8?\nAnswer: -76","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 40*o**2 + 0*o**3 + 39*o**2 - 3*o**3 - 79*o**2.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (20\/15)\/(40\/375*15\/(-66)).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = -7*n**2 + n + 5. Let z(g) = 21*g**2 - 3*g - 14. Calculate -17*a(s) - 6*z(s).\nAnswer: -7*s**2 + s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -311*h + 126*h = 7030 for h.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3)\/(((-12)\/8)\/1). Suppose -k - b = -3*k. Find the first derivative of -5 + 0 - 3*t**3 + t**3 - k wrt t.\nAnswer: -6*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o**3 + 205*o**2 - 2375*o + 5415 = 0. Calculate o.\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 166267 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) = -a**2 - 12*a + 145. Let k be f(7). Solve -36 + 6 = -2*y - 5*v, 0 = -3*v + k for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 182 is divided by 53.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.000066915 rounded to 6 decimal places?\nAnswer: -0.000067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**3\/11 - 22072*m**2\/11 + 1034058*m\/11 - 1090908 = 0. Calculate m.\nAnswer: 21, 26, 10989","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 81 + -88 + (1 - -22) - (-4 - -4).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (48\/28)\/(-1*(18\/21)\/3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 93425 is divided by 15560?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 7*z**2 - 7*z - 12. Let b(m) = -155*m**2 + 155*m + 265. Let g(c) = 2*b(c) + 45*y(c). Determine u, given that g(u) = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**3 - 7*b**2 + 11*b + 6. Let k be h(4). Let z(i) = -3*i**2 + 4*i - 3. Give z(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/24832776 and -7\/512016.\nAnswer: 49665552","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1550 - -16d?\nAnswer: 16bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) -3  (b) 0.5  (c) -267  (d) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the second derivative of -1\/24*t**3 - 1\/48*t**4 + 0*t**2 + 1\/120*t**6 + 1\/80*t**5 + 3*t + 0. Factor x(z).\nAnswer: z*(z - 1)*(z + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**3 + 11*j**2 + 9*j + 9. Let p be n(-10). Suppose 5*c - p - 1 = 0. What is l in 24\/5*l**2 - 12\/5*l + 2\/5 - c*l**3 + 6\/5*l**4 = 0?\nAnswer: 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0, -65.5, 4\/3, -2?\nAnswer: -65.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1372 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gz when two letters picked without replacement from {q: 1, z: 3, b: 1, o: 2, g: 5}.\nAnswer: 5\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -66*s - 140*s - 10 - 115*s.\nAnswer: -321*s - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 28089875 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: Two letters picked without replacement from {t: 3, n: 1, x: 1, w: 6, z: 2}. What is prob of sequence zx?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1090485577 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -21 + 26. What is the highest common divisor of k and 45?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 149 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g - 9 = 0, -3*n - 21 = -2*n - 5*g. Let z be (4 + 1 + -2)\/((-9)\/n). Let s(v) = 6*v**z - 15*v**2 - 2*v**2. Let o(m) = -3*m. Determine s(o(h)).\nAnswer: -99*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 245177?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d**2 - 6*d - 2382. Let n(x) = 11*x**2 + 21*x + 7166. Let k(m) = 7*i(m) + 2*n(m). Let g(u) = -2*u. Determine g(k(s)).\nAnswer: -2*s**2 + 4684","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1020 - -14110334?\nAnswer: 14104314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 205239, 410465, 615691?\nAnswer: 820917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -97 - -96.9. Sort 0.2, 4, -46, c.\nAnswer: -46, c, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 23\/(-2760)*-20*(-3)\/(-2)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((x**(-1)*x*x*x)\/x)\/x)**(4\/5)\/(x\/x**(1\/7)*x*x*x**(-3)*x))**49)**34 assuming x is positive.\nAnswer: x**(-1428)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*b**2 - 416*b - 414.\nAnswer: -2*(b + 1)*(b + 207)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the second derivative of 5*m**4\/4 + 7*m**2\/2 + 15*m. Find the first derivative of y(i) wrt i.\nAnswer: 30*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 82 - 148. Let t = 82 + g. What is the hundreds digit of t*(1 + (-33)\/(-4) - -2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 1 + 0 + -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2\/1119 - -79421\/15666. Suppose 41 - 39 = o. Find the common denominator of (-4)\/10 - o\/120 and z.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 130*t**2 + 133*t**2 + 6142*t**3 - 263*t**2.\nAnswer: 6142*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:07 PM and 2:46 AM?\nAnswer: 459","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -53*f**3 - 21*f**3 + 5*f**2 + 234 - 107 + 12*f**3 wrt f.\nAnswer: -186*f**2 + 10*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.0158 + -0.2158. What is the fourth biggest value in v, -2\/35, 0.5, 5?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*d + 4*d - 11*d + (3 - 4 + 3)*(-d - 4*d + 6*d))*(-1 + 0 + 3).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 2*m + m)*((-2 + 7 - 3)*(-2*m**2 + 2*m**2 + m**2) - 4*m**2 + 0*m**2 - m**2 - 21 + 21 - 104*m**2).\nAnswer: -107*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**1)**(2\/5)\/((y**(2\/11)\/y*y)\/(y\/(y\/y**(2\/13)))))\/((y**(-7)*y*(y**(-3)*y)\/y)\/(y**(-2)*y\/y**(-2))) assuming y is positive.\nAnswer: y**(7416\/715)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*w - 20 = -4 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 721\/21 + (-2)\/(-3). Suppose -4*z = -5*g + z + v, 0 = 5*g - z - 47. Does 4 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -5*q + 716, 4*q + 5*x - 595 = -0*q. What is the greatest common divisor of q and 40?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 196 is divided by 12?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7\/8 - (-151560)\/576. Suppose -33 = -2*g + g. What is the highest common divisor of g and v?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 i and 2 b when three letters picked without replacement from {a: 5, b: 3, i: 3, p: 4, n: 3}?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -24.3  (b) -3  (c) 215\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vdm when three letters picked without replacement from vemdevvvee?\nAnswer: 1\/180","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) 457  (b) 2\/13  (c) 2  (d) -3  (e) 0.14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -63\/202942 and 51\/35438.\nAnswer: 123997562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:34 AM and 4:05 PM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1192479 or 1192117?\nAnswer: 1192479","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 210*k**2 + 3*k**3 - 81*k**5 + 168*k**5 + 3*k**3 - 6*k**3 wrt k.\nAnswer: 5220*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = 4*n**2. Let b(o) = -o + 452 - 452. Determine s(b(a)).\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h - 793 = 4*g, -4*h = -3*h - 1. Let o = 203 + g. Solve f + w = -w + 13, -o*f = -2*w - 2 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 67566347*p**3 - 52*p**2 + 32*p + 11696?\nAnswer: 405398082","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find c such that 5*c**5 + 35*c**4 + 10*c**3 - 140*c**2 - 120*c = 0.\nAnswer: -6, -2, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/70208361 and -37\/11?\nAnswer: 772291971","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -35*t - 93960 + 483895. What is the ten thousands digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3 - 0. Suppose o*x + 27 = 63. Suppose 0*h - 3*h + x = 0. Solve h*k - 4 + 1 = -m, 2*k = 2*m + 4 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-4)\/11 + ((-18)\/152)\/(24384\/(-7424) - -3)?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (18\/1530*10)\/((-12)\/(-51))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -100.4 - 17.6. Let k = -113 - i. Which is the fourth biggest value?  (a) 1  (b) k  (c) 2  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 516342893?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -y**2 + 7*y. Let s(g) = g**2 - 6*g - 1. Let q(c) = 4*k(c) + 6*s(c). Let v be q(7). Calculate the greatest common factor of v and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-5 + 14\/4). Let w(n) = 4*n - n - y*n. Give w(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -3. Suppose -p*k - 15 = -5*l, -l + 5 = 2. Suppose 0 = 4*r + a - 5, -4*a + k = -r - 3. Calculate the greatest common factor of r and 8.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2633 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -3. Let t(g) = -16*g + 142. Let i(w) = 5*m(w) - t(w). Let d be i(10). Which is the closest to -0.19?  (a) d  (b) 2\/7  (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3590\/10571 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d + 24996 = -0*d. Suppose 2*c = -2*c + d. Let r = c - 1160. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*-6*((sqrt(200)*-1 - -3*sqrt(2)*2) + -1)**2.\nAnswer: -396 - 96*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -330 divided by 6\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1205*9\/(-4050) - 6\/2 and -3\/35?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k - 1. Let z be i(-6). Let n = z + 1. Find the third derivative of r**2 - 10*r**n - 5*r**2 - r**6 - 2*r**2 wrt r.\nAnswer: -1320*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 377469, 757233, 1136997, 1516761?\nAnswer: 1896525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the third derivative of -2*b**5\/105 + 31*b**4\/84 + 8*b**3\/21 - 5*b**2 + 32*b. Factor t(s).\nAnswer: -2*(s - 8)*(4*s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 486 and 38952.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1\/2  (b) -1\/8  (c) 2\/109  (d) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-15)\/((-12)\/(-4))*-34*(-26)\/4420\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 643026 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, t: 3, m: 4}. What is prob of sequence tmm?\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -41091.3 to the nearest ten thousand.\nAnswer: -40000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-3 + -1)\/(1\/2). Let g = b - -25. Let f(t) = -t + 50. Calculate the remainder when f(0) is divided by g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31097 to the power of 1\/4, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -15ee8e + 2?\nAnswer: -15ee8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 8*b + 14. Let x be f(-6). Let y be (-33)\/108 - x\/(-9). Which is bigger: y or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -21 - -21.4. Let d = 0.574 - s. Round d to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -3\/43  (b) 2\/23  (c) 2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 401 - 708 - 1079 = -63*j for j.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -6 - -8. Let n = 3967 + -3968. Let y(t) = 2*t + 1. Let x(d) = d**2 + d. Calculate a*x(h) + n*y(h).\nAnswer: 2*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -91*f**2*t**2 - 7*f**2*t - 3*f*t**2 + 51*f*t wrt t.\nAnswer: -182*f**2 - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 3*q**2 + 3*q. Calculate the remainder when 9 is divided by i(-4).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 14.126 + -13.726. Let d = 8.5 - 1.5. What is the third biggest value in d, 2, -5, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 15 = d. Let w = -0.254 + -0.046. Which is the second biggest value?  (a) d  (b) -0.1  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*s - s - 37*s + 126*s + 99*s + 4*s.\nAnswer: 216*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -543 - -547. Let i(y) be the second derivative of 0*y**3 + 0 - 5\/6*y**h + 5*y**2 - 7*y. Find the first derivative of i(m) wrt m.\nAnswer: -20*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 68220.39 nanograms in kilograms?\nAnswer: 0.00000006822039","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(192)*1 - (-4 + sqrt(48))**2.\nAnswer: -64 + 40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -1341, -1340, -1339?\n\"Answer: k - 1342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 149244237?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*n = 12 - 4. Let b be -1 + ((-16)\/n - -10). Let j(r) = 2*r**2 + r - 7. Does 24 divide j(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3320 (base 4) in base 8?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 3\/50 of a day?\nAnswer: 5184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1722?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1\/2 + -1\/6. Let g(x) = x - 4. Let t be g(3). Let d = t + 0. Do d and m have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 91 + ((-10)\/2 - -4). Suppose 0 = 2*o - 0*o + 10. Let y(d) = -2*d. Let s be y(o). What is the greatest common factor of s and w?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + -7 - -67 - ((23 - 38) + 23)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 204, 9, -23 in increasing order.\nAnswer: -23, 9, 204","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -118 = -5*f + 32. Suppose -19*r - f = -25*r. What is the third derivative of -21*v**6 - 24*v**r + 24*v**5 + 8*v**2 + 15*v**2 wrt v?\nAnswer: -2520*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from rrvrfvffvrdvrrsvsv.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = 735*p - 4. Let g be h(-6). Let j = 14057 + g. Suppose -j = -4*o - 43. What is o rounded to the nearest 1000?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 1787*t + 36*t**2 + 39*t**2 - 1774*t - 76*t**2 - 3. Calculate v(13).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 692\/42099 bigger than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -122*g - 84 + 937*g**2 - 1930*g**2 + 957*g**2 + 2*g**3.\nAnswer: 2*(g - 21)*(g + 1)*(g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1670 + 1669 = -3*b. Let x = -634 - b. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2156 divided by 7.\nAnswer: -308","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*u + 4*u + 78 = 0. What is the tens digit of -1 + 6\/u + 446?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 12584750800 to the nearest one million.\nAnswer: 12585000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t - 11 = 2*t. Let p(z) = -z + 15. Let k be p(13). Let q be 18 - (-6 - k\/(-1)). Calculate the greatest common factor of q and t.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 735120 divided by 5\nAnswer: 147024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 14.12 - 2.62. Which is smaller: o or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) be the third derivative of d**6\/120 - d**5\/10 - 7*d**4\/24 - 2*d**3\/3 - 547*d**2. Determine q(7).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 26*g - 76 = 0, 4*b + 258 = -2*g + 256 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -84282850*a - 43840540.\nAnswer: -84282850","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 - ((-5 - (3 - 6)) + -3).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -325692152 rounded to the nearest one hundred thousand?\nAnswer: -325700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7.5 - 2.5. Suppose 19 = 7*c - 2. What is the nearest to 1 in -4\/5, c, q?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 187266808 is divided by 62422269?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -7*f + 2. Let g(w) = -3*w + 1. Let s = -406 + 403. Determine s*l(i) + 5*g(i).\nAnswer: 6*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*y = -0*p + 2*p - 4, 5*y = p - 6. Let z be 12\/18*p*-3. Let s be 2\/((45\/18)\/(-5)). Which is smaller: s or z?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = s**3 + 6*s**2 + 5*s - 4. Let d be p(-4). Suppose -3*x + d*x = 110. Is x a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 - 4 - (-2 + -13 + 15).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/((-245)\/35))\/(12\/876)?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 23679656 a multiple of 91?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -347 + 347. Solve -3*l + 16 = -j*p + 5*p, 0 = -2*l - 6 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/14 - 36\/(-28). Let h = 6 - p. Let q be h + 0 - 2*1. Sort 2, 1, q in decreasing order.\nAnswer: q, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) = z**2 - 4*z - 271. What is x(-15)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = o**3 - 4*o**2 + 4. Let m(q) = -3*q**3 + 8*q**2 - 9. Let y(g) = 2*m(g) + 5*p(g). Give y(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6873.06 and 0.29.\nAnswer: 6873.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - v. Let s(n) = 11*n**2 + 2*n + 6. Let y(d) = 23*d**2 + 5*d + 13. Let z(u) = 13*s(u) - 6*y(u). Determine 4*g(w) - z(w).\nAnswer: -w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -5, -1, 1\/3, -10\/9 in descending order.\nAnswer: 1\/3, -0.4, -1, -10\/9, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 19902887?\nAnswer: 19902887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -571.89103 rounded to zero decimal places?\nAnswer: -572","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -2567*q**2 + 734163*q - 354. Calculate b(286).\nAnswer: -68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1061?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5.729479cm to meters.\nAnswer: 0.05729479","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-l + l - 2*l**4 + (7 - 3 - 3)*(-3*l**2 + 3*l**2 + l**4) + 46*l**4 - 48*l**4 + 36*l**4)*(11 - 3 - 9).\nAnswer: -33*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -11*w + 2 - 44*w + 1 + 1. Let x be p(1). Let i = x - -201. Does 30 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k, given that k**5\/3 - 13*k**4\/6 - 3*k**3\/2 + 13*k**2\/6 + 7*k\/6 = 0.\nAnswer: -1, -1\/2, 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c = 4*w + 28, 3*c - 5*w - 75 = -2*w. What is the tens digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5940.7 rounded to the nearest one hundred?\nAnswer: 5900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5424, 21736, 48924, 86988, 135928?\n\"Answer: 5438*p**2 - 2*p - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -0*j. Let u(z) = -8*z**2 + 3*z - 4 + z**3 + j - z. What are the prime factors of u(8)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = 6*z**2 + 41 - 79 + 35 + 21*z. What are the prime factors of v(-7)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:20 PM and 1:09 AM?\nAnswer: 709","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 18 - 30 - 21 - 5*q - 28. Calculate the smallest common multiple of u(-17) and 12.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -5 + (sqrt(13) - (0 + sqrt(832))) + 0)**2.\nAnswer: 42*sqrt(13) + 646","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 10 + -9.5. Suppose 2*u - 3 = -3*i, 2*i + 1 = i. Which is the nearest to 0.1?  (a) u  (b) 2  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.08 * 535920\nAnswer: -42873.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 275 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 4*o - 293 = 0, 3*o + 240 = 3*p - 39. Is p > 95?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12509074\/867 - -14428. Let j = l - -1724\/4335. Solve -7\/5*x + 1\/5*x**4 + 9\/5*x**2 + j - x**3 = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let i be 36\/(-90) + (4 - 102\/30). What is the nearest to 96 in 0.4, -0.2, i, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -331 (base 4) to base 12.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 45*s**2 + 52484*s + 104959. What is a(-2)?\nAnswer: 171","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*y + 27 + 25. Suppose 3*j + j = 12. Sort j, y, -1 in increasing order.\nAnswer: -1, j, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3790aa - -665?\nAnswer: -378545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 43 and 2537?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (1521\/(-63) - -24) + 184\/14\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*p**2 + 9*p**2 - 3*p**2 + 8*p**2.\nAnswer: 20*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 450 = 13*u - 4*u. Let m = u + -40. Let c be (3 - (m + -4)) + -11. Let y(l) = 2*l + 2. Let v(h) = -5*h - 5. Calculate c*y(n) - 6*v(n).\nAnswer: 2*n + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -18*b - 1. Let p(m) = -m**2 + 8*m - 9. Let d be p(7). Let q be a(d). Suppose 0*v = -v + q. What is the remainder when v is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.850582 + -2.04934. Let q = 0.199 + m. Round q to four decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the second derivative of k**3\/6 + 3*k**2\/2 + 2*k. What is the units digit of z(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -25*g + 934. Calculate k(37).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 562132 is divided by 57.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3668251*k**3*w + 19*k**2*w - 290635404*w wrt k.\nAnswer: -11004753*k**2*w + 38*k*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -149, -299, -447, -593, -737, -879, -1019?\nAnswer: -1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express l + 3*l - 3*l**2 - 13*l as g*l**2 + b + o*l and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -235*s**6 - s**5 - 15640*s**3 - 2413966*s**2 - 3*s?\nAnswer: -28200*s**3 - 60*s**2 - 93840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = h + 2. Let g be -5 + (3 - (1 - -2)). Let y be 33\/g + 3\/5. Let b(m) = 6*m + 11. Let r(p) = y*b(p) + 33*s(p). Let x(c) = -2*c**2. Give x(r(d)).\nAnswer: -18*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 85, 1, -1, 5.\nAnswer: -1, 1, 2, 5, 85","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 21656 divided by -773.\nAnswer: -21656\/773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1441062?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-5))\/((-10)\/(-15)*(-3465)\/2100)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes after 10:28 AM?\nAnswer: 9:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 638734 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1\/7, 5, -2, -2\/19?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2787, 2788, 2787, 2784, 2779, 2772?\nAnswer: 2763","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 18*b**2 - 3*b - 1. Suppose a + 94 = 4*m, -3*a - 2*a + 130 = 5*m. What is the remainder when m is divided by q(1)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 12:42 PM?\nAnswer: 11:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = -2*y**2 + 18478*y - 147719. What is i(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 16486115?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -94 + 13 = -27*c. Suppose v - 24 = 2*d, -v + 5*v - 41 = -c*d. What is the greatest common factor of v and 126?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18 (base 13) in base 16?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -438600944*j**3 - 19*j**2 + 2462*j + 774.\nAnswer: -2631605664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -27b1 (base 16) to base 2.\nAnswer: -10011110110001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is thirteen fifths of a litre in millilitres?\nAnswer: 2600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 2176 and 8092.\nAnswer: 258944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1149787\/695925 + -2044\/1031. Let y = 2\/675 - n. Which is the closest to -0.1?  (a) -0.1  (b) y  (c) -0.19\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -7*s + 17. Let v(i) = 4*i - 9. Let h(k) = -6*a(k) - 11*v(k). Is 3 a factor of h(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 6*o - 1. Let k(m) = 5*m - 2. Let a(j) = 5*k(j) - 4*l(j). Let v(i) = 3 - 1 - 3. Let t(g) = a(g) - 6*v(g). Let s(w) = 4*w**2. Calculate s(t(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y + 2*y - 1 = 0. Let k be (-1)\/y - -1 - 8. Let u = k - -12. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91 is divided by 43.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -49 + 9 = -5*n. What is the smallest common multiple of n and 2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 2*s**2. Let d(k) be the second derivative of 30*k**4 - k**2\/2 - 407*k. Determine y(d(u)).\nAnswer: 259200*u**4 - 1440*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 2, y: 1, m: 1, g: 1, f: 1, n: 1}. What is prob of sequence mf?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 331125 and 10125?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 111 divide 155400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes before 12:01 PM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1386 and 17959392?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1\/8 + 8\/((-1344)\/49).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Are 27\/83143 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**2 + 1322*q + 97032. Calculate i(-78).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0034630249 rounded to four dps?\nAnswer: 0.0035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -3, -35, -91, -171, -275?\n\"Answer: -12*a**2 + 4*a + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) be the third derivative of -g**5\/60 - 25*g**4\/24 + 38*g**3\/3 + 7*g**2 + 5. Calculate the remainder when v(-25) is divided by 27.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1037 a factor of 50775725?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.432513649 to two decimal places.\nAnswer: 0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((40781\/(-4420) - -8) + (-35)\/(-28))*(-4)\/(-16).\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 6, b: 4, r: 4}. Give prob of picking 2 b and 1 s.\nAnswer: 9\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 174386589 to the power of 1\/5, to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -67, -1\/466 in decreasing order.\nAnswer: 5, -1\/466, -67","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -1020390 divided by 68026?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - -8)\/(-3 - 19\/(-6)). What is the highest common factor of v and 609?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4 divided by -42332.\nAnswer: 1\/10583","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -88 - -88. Solve j + 10 = -5*h - s, 2 = -h + 2*s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 55820, 148, -4, 4 in increasing order.\nAnswer: -4, 4, 148, 55820","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k\/(((k\/k**(-2\/7))\/k)\/k))**(5\/18)\/(k**1\/(k\/(k*k**(-2\/21)*k))) assuming k is positive.\nAnswer: k**(-10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*w - 111*w**2 + 109*w**2 - 3*w**4 + 4*w**4 + 4*w**3 to l + c*w**3 + o*w**4 + t*w + m*w**2 and give m.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(108) + (1*sqrt(108) - sqrt(108))*-4 + sqrt(108)*-1*3 + 1.\nAnswer: -12*sqrt(3) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 64 + -63. Let i be (44\/(-880))\/(8\/30). Which is greater: m or i?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 q when two letters picked without replacement from {f: 3, q: 8, p: 6}.\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llg when three letters picked without replacement from lgllllgggglllglg?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 644903, 1289806, 1934711, 2579618, 3224527, 3869438?\nAnswer: 4514351","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from {u: 3, n: 2, r: 2, b: 4, g: 2}?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:05 AM and 1:39 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (2 - 4\/3)\/((-34)\/6)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:50 PM and 10:33 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1371600 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:26 PM and 11:13 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -5.9108257 to one dp.\nAnswer: -5.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 i and 1 l when two letters picked without replacement from {g: 1, l: 2, j: 2, y: 2, i: 1}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 653362?\nAnswer: 2, 326681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (12 - 9 - (12 - 8))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 2  (b) -35  (c) -2\/21\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -3*-1943424.4\nAnswer: 5830273.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = 7*q - 3. Let o(j) = 17*j + 6*j - 2*j - 6 - 3. Let h(n) = -2*o(n) + 7*s(n). What is the units digit of h(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -84417, -84140, -83863, -83586?\n\"Answer: 277*s - 84694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -69 - -55. Suppose -5 = -3*p + 7. Sort w, p, -0.2.\nAnswer: w, -0.2, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: -282 divided by 28\nAnswer: -141\/14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1930544?\nAnswer: 2, 7, 11, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23*x + 26 - 118 = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g - 61 + 164 - 9 + 129. What is the units digit of v(0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + sqrt(12)\/sqrt(6)*-4 + (sqrt(600)*-2 + sqrt(600) - sqrt(600) - sqrt(600))\/sqrt(12).\nAnswer: -19*sqrt(2) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2031, -2712, -3393, -4074, -4755, -5436?\nAnswer: -6117","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1609 by 1.\nAnswer: -1609","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 6) + (-4 - 30) + 33?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:36 PM and 11:59 PM?\nAnswer: 203","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r**2 + 17*r - 5. Let x be k(16). Let w(v) = -12 - x - 5*v + 8 + 8 + 3. Give w(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 301 + 531 = 0. Suppose -y = -3*n - 5*d, 5*n - d = 3*d + 359. What is the remainder when n is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18481*l + 18548*l = 0. Factor l - 1\/2*y**2 + 1\/4*y**3 - 15\/4*y.\nAnswer: y*(y - 5)*(y + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65, 296, 681, 1220, 1913, 2760, 3761?\nAnswer: 4916","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 728.6 - 842. Let g = a + 86. Round g to 0 decimal places.\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 2*n = 12, 3*n + n + 16 = 0. Let l(g) = -2 - 6*g + 8*g**p - 2*g**2 + 2. Let f(t) = -t**2 + t. Determine -11*f(s) - 2*l(s).\nAnswer: -s**2 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -346227, -346223, -346219, -346215?\nAnswer: -346211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 21 and 7581.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 4.8 - 4.800003. What is n rounded to 5 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 958486 less than -1?\nAnswer: -958487","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -116 + -205219902354?\nAnswer: -205219902470","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -46 + 74. Calculate the remainder when (-410)\/(-14) - 8\/v is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 650\/(-975)*(2\/14)\/1?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30 = -4*b + 622*z - 620*z, -3*z = -3*b - 18. Is b >= 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55289 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*w + 153 = -4*w - 135. Solve 0 = r + 4*a + 15, -r = -6*r - 3*a - w for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -0*q - q. Suppose 0 = k + 5, -x + 0 = -4*k - q. Suppose 2*d = -y - 6, -d + 3 = -2*y - 2*d. Solve -x*l + 2 = y, -3*u + 5*l - 5 = -0 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 10 - 2 = 0. Suppose -3*q = -1 + 10, 3*k + 2*q - l = 0. Suppose -5*s = -0*s - 35. Calculate the remainder when s is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 692053652?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 568 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 + 81246972*f**2 - 1 - 81248241*f**2.\nAnswer: -1269*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 128\/(-160)*(-6 - (-267)\/42).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the third derivative of -k**4\/12 - 2*k**2. Suppose -16 = -3*u - 2*a, -3*a + 2*a = 4*u - 13. Let i(o) = -o + 5*o**2 - 3*o**u + o. What is p(i(y))?\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -509071, -2036363, -4581875, -8145607, -12727559, -18327731?\nAnswer: -24946123","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = -b**3 + 44*b**2 - 295*b - 26. What is the remainder when a(35) is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 5*q = 146, 4*l - 63 = 2*q + 69. Let a be l\/(-6) + 2\/(-6). Let x = 2 - a. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1498 + 2506. Calculate the remainder when b is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (15\/4)\/((-30)\/(-1720)). Calculate the highest common divisor of b and 86.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4314 is divided by 154?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -840752629 and -1.3?\nAnswer: 840752627.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 186 - 185. Let x be (24 + u)\/(((-10)\/(-3))\/10). Does x = -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(13) + -2*sqrt(13) + sqrt(13))*-6 + 2 + sqrt(52)\/sqrt(4) + sqrt(13) + 4)**2*-1.\nAnswer: -528 - 144*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -3*j**2*z**3 - j**2*z**2 + 2*j**2 + 9573*j*z**3 + 612*j*z**2 - 4*z**3 + 7 wrt z?\nAnswer: -18*j**2 + 57438*j - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 3*k + 2*b, -k + 4 = -4*b - 2 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-65715)\/(-33363))\/(5\/165)?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -222*w + 11*w - 196*w - 1 - 53*w.\nAnswer: -460*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5267891 - 100*z**3 - 724*z**3 + 5267891.\nAnswer: -824*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 32403465 a multiple of 117?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92 divided by -4.\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = q**3 - 7*q**2 + 8*q - 12. Give y(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (130\/(-77376)*-32)\/((6\/(12\/(-10)))\/18)\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 119 + -112. Let p(u) = -14*u + 97. Let b be p(m). Let s(t) = -t**2 + 2*t. Calculate s(b).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 7 = 62. Solve i = -7*r + 2*r + 2*f, -5 = -5*r - 5*f for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -199\/2 + 105. Let b be (-66)\/(-15) - 3\/(-5). Let d = b - l. Which is smaller: d or 16?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 8*d**3 - 39*d**2 - 31*d + 2342. Let v(m) = 3*m**3 - 20*m**2 - 18*m + 1172. Let l(h) = -5*v(h) + 2*w(h). Factor l(u).\nAnswer: (u - 6)*(u + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.145473 rounded to 0 decimal places?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 2 x when three letters picked without replacement from {k: 7, x: 2}?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1197 and 9747.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 99852.26 years in centuries?\nAnswer: 998.5226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is seventeen halves of a kilogram in grams?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.133 take away -58945240?\nAnswer: 58945239.867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 0)*(-603 + 601 - 183*y**2 + 44*y**2).\nAnswer: -278*y**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 1\/12 - 1\/(-4). Let p = -3298 + 36280\/11. What is the closest to -2 in s, p, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 63 = -t - 9*q, 3*q - 9 = 0. What is the remainder when t is divided by 22?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2404 - -4563. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*w - w - 5*c + 359, 0 = -w - 3*c - 207. Let s be ((-240)\/w)\/(1\/4). Solve 3*x + 4 = s*x for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -3210, -3207, -3204, -3201?\n\"Answer: 3*y - 3213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -33.9  (b) 0.024  (c) -7  (d) -3  (e) -11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.512638 + 0.012638. Suppose 0 = -n - 5. Which is the nearest to n?  (a) z  (b) -0.2  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 16779 is divided by 244?\nAnswer: 187","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-14)\/3)\/(-7)*(5 - -1). Let q(i) = 370*i - 21. List the prime factors of q(u).\nAnswer: 1459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - 5*j = -9, j = -5*z + 6*j + 15. Let c = z + 0. Suppose -17 - 47 = -5*b + c*l, 2*l + 40 = 3*b. What is the lowest common multiple of b and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0 or 2\/30541?\nAnswer: 2\/30541","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = -13923*c**2. Let w(d) = -d. What is b(w(h))?\nAnswer: -13923*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 10329592, 20659179, 30988766, 41318353, 51647940?\nAnswer: 61977527","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 4*m + 3*x = 0, -4*m - 2*x + 18 = 0. What is the units digit of (5 - m) + (-1 - -25)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 132\/(-77) + (3\/(-63))\/((-9)\/(-54))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4049 - (-11 + 6 + 4\/(-1 - -3))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3810.987 centimeters in micrometers?\nAnswer: 38109870","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*z + 5, -2*c + 6*z - 3 = 3*z. Suppose c*r + 22 = 2*r. List the prime factors of r.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3386170 to the power of 1\/2, to the nearest integer?\nAnswer: 1840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.06 + -23.94. Let r = -24.000104 - y. What is r rounded to 5 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 33021?\nAnswer: 33030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 6183197?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 29909 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*h - 5 = 9*h. Let i(z) = -3*z**3 + 4*z - 6. Let a(n) = -2*n**3 + 3*n - 5. What is h*a(d) + 4*i(d)?\nAnswer: -2*d**3 + d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - 7. Let o = -6 - b. Is o not equal to -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16*m**2 - 12*m**2 + 28*m**2 - 3*m**3.\nAnswer: -3*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 84 divide 15120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 66 - 61. Suppose -5 = z - 6*z. What is the least common multiple of r and z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7)\/4*((-24)\/(-15))\/(27\/270)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x - 12. Suppose 0 = -3*q + 4*g + 19 + 17, 0 = -4*q - g + 29. Let v be n(q). Suppose 3*f = -4*w + 74, -v*f - 17 = -5*w + 60. Does 17 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 108150 a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23971\/12 + 2005. What is the common denominator of (44\/18 + -2)\/6 and i?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2804*p + 5 + 11002*p + 4 - 9.\nAnswer: 8198*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that 96 + 78*c**2 + 256*c - 64*c - 3*c**5 - 4*c**4 - 39*c**3 - 20*c**4 = 0.\nAnswer: -4, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 divided by 31486\nAnswer: -3\/31486","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 1809 divide 202339288?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 58006 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1\/43 + 47\/172. Let x = -806.4 + 746. Let l = x + 60. What is the nearest to 3 in o, l, -1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by -167.\nAnswer: -2\/167","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*m - 5 = -19. Suppose m*b + 10 = 0, 5*w - b - 4*b - 40 = 0. Solve -6 = -w*j + 9 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 1276132 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes after 8:00 AM?\nAnswer: 6:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 4596 and 34470?\nAnswer: 68940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 547a0 (base 15) in base 14?\nAnswer: 6db1c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -1 - 3 - 1*-8. Suppose -3*x = -4*l - z, x - 4 - 10 = -5*l. Suppose x*f - 8*f = -48. List the prime factors of f.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 393.778 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = 24*x**2 + x - 9. Is y(4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -2.3 - 4.3. Let m = -1.6 - n. What is the closest to 2\/5 in 1\/5, m, 1\/6?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = 10*i - 92. Let w(m) = 22*m - 184. Determine -9*t(f) + 4*w(f).\nAnswer: -2*f + 92","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -505*m + 3. Let o(r) = 338*r - 2. Let z(i) = 3*o(i) + 2*y(i). Let u(a) be the second derivative of -a**4 - a. What is z(u(f))?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-41125)\/24 + (8 - 7). Let o = m + 1709. Calculate the common denominator of -29\/18 and o.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -272 - -541. What is the units digit of q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor q**2 - 12096*q + 36279.\nAnswer: (q - 12093)*(q - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -434411*r**2 - 444*r**4 + 4 + 16 + 434414*r**2 wrt r?\nAnswer: -10656*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 822 - 12383 = 540*d - 221 for d.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((416\/(-52))\/4)\/((-8)\/90)\nAnswer: 45\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) be the third derivative of v**5\/60 - v**4\/2 - 5*v**3\/2 + 32*v**2. Let k be l(14). Calculate the highest common factor of 208 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = 4*f + 46. What is t(-15)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of 0*s**4 + 1\/120*s**6 - 6*s**2 + 0*s**5 + 0 + 4\/3*s**3 + 0*s. Find the first derivative of p(d) wrt d.\nAnswer: 3*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -134 + 102. Let s = o + 42. Calculate the common denominator of 15\/28 and ((-6)\/s)\/(-3)*(-178)\/4.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11111 + 1100010010?\nAnswer: 1100110001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5051 divided by 2901.\nAnswer: -5051\/2901","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert 5435.956ml to litres.\nAnswer: 5.435956","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 272 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-19*4)\/((80\/(-264))\/5).\nAnswer: 2, 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4429169*q**5 + q**2 - 3794*q + 5 wrt q?\nAnswer: -265750140*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3276 and 189.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c - 30 = -30 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 324 at most 332?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 24 + 6 = 3*g, -4*u - 8 = -4*g. Put -3, -5, u, 11, 5 in descending order.\nAnswer: 11, 5, u, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(112) - (sqrt(112) + -1*sqrt(112) + 1))**2 + -4 + (1*sqrt(7) + -4)**2.\nAnswer: -16*sqrt(7) + 135","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let -n**4\/9 + 9728*n**3\/9 - 7619054*n**2\/3 + 1756893672*n - 5247853029 = 0. Calculate n.\nAnswer: 3, 1539, 6647","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-5*(sqrt(78) + -2*sqrt(78))*6)\/(-3*-1*sqrt(216)).\nAnswer: 1 + 5*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 120\/53  (b) 1\/2  (c) -8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5 + 100339399334522?\nAnswer: 100339399334522.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-3\/4)\/c**(10\/13))\/((((c**(6\/19)\/c)\/c)\/c)\/(c\/(c\/(c*c**(-9\/2))*c))) assuming c is positive.\nAnswer: c**(-3295\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 93327552.\nAnswer: 2, 3, 17, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-8)\/(-20) + 13\/5. Is j\/(-1)*774\/(-18) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 240\/(-6 - -21) - (42 - -46)\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -110452, -441867, -994250, -1767607, -2761944, -3977267?\nAnswer: -5413582","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1316258412 rounded to the nearest one million?\nAnswer: 1316000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*s + 131*s + 2*i = 76, 6*s + 40*i - 35*i - 190 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15284 is divided by 2134.\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 1\/13, 1\/71, 0.5, -35\/3028?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -219 - -373. Let s be ((-36)\/(-15))\/(-1*1\/(-5)). Suppose 0 = 8*m + s - 124. What is the highest common factor of m and q?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -3*i**4 - i**2 - 9*i + 5. Let w = -115 - -66. Let x = -44 - w. Let k(t) = -2*t**4 - 2*t**2 - 8*t + 4. Let d(j) = x*k(j) - 4*n(j). Factor d(l).\nAnswer: 2*l*(l - 2)*(l + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 2:01 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -1761 < -140861\/80?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.007620208 to 4 dps.\nAnswer: -0.0076","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f**3 - 2*f**2 + 3. List the prime factors of a(4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p - 2. Let g be v(-3). Let j(o) be the first derivative of 4109*o**3\/3 + o**2\/2 - o - 3356. Is j(g) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 5\/5 + (-2)\/(-1). Let k(a) = -a**3 + 3*a**2 + 2*a + 3. Give k(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dipdplmmldxl. Give prob of sequence dppd.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(n) = -3*n - 11. Let w(a) = -a - 4. Let r(c) = -c**3 - 4*c**2 + 9*c + 5. Let x be r(-6). Let j = -40 + x. Let t(d) = j*w(d) + 6*z(d). Give t(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3632416 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -10*c**2 - 13799*c + 55377. Determine a(4).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0 + 0.1. Let w = 1\/382 - -755\/3438. Let k be ((-18)\/8)\/(-1) + -2. What is the closest to o in -1, k, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(25) - sqrt(225)*2)\/((sqrt(40)*2)\/sqrt(8)))**2*6.\nAnswer: 375\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find s, given that 2*s**2 - 2*s**3 + 5*s**3 - 3*s**2 - 2*s**3 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = 12*q. Let g(x) = -x**3 - 3*x**2 - 2*x - 7. Let f be g(-4). Let t(u) = -35*u + 20*u + f*u. Determine l(t(y)).\nAnswer: 24*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.001707877564 rounded to five decimal places?\nAnswer: 0.00171","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -31*c - 58 + 182. Find the third derivative of y**2 - 8*y**5 - y**3 - 2*y**3 - 101*y + 5*y**3 - 2*y**3 - 7*y**c wrt y.\nAnswer: -480*y**2 - 168*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 86 - 32. Suppose -1526 = -12*b + 2*l, 469 = 4*b + 5*l - 0*l. What is the highest common factor of b and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 95021216.\nAnswer: 2, 47, 63179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1637 is divided by 418?\nAnswer: 383","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5\/33?  (a) -5  (b) -4  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -673 + 693. Suppose 12*h + 158392 = l*h. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 47*b - 50*b = -2*p + 7, -13 = 3*b - 5*p for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*u - 223 + 175. What is the third smallest value in u, 7, -4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 445.300612 to zero dps.\nAnswer: 445","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*v - 17902 + 17902 = 0. Which is smaller: v or -251?\nAnswer: -251","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1\/173457  (b) -0.2  (c) -2\/25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10, 12, 14, 16, 18?\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cvmm when four letters picked without replacement from {z: 2, c: 1, f: 1, v: 3, m: 5}.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 122325031?\nAnswer: 122325031","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33524 and 275036.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 42*c - 3*c**2 - 43*c - 47*c + 48*c.\nAnswer: -3*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(1920) - (sqrt(1920) + (2*sqrt(1920) - sqrt(1920) - sqrt(1920)) + sqrt(1920)))*3*-5)\/(4*4*sqrt(150)*-1))**2.\nAnswer: 45\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 d, and 1 n when three letters picked without replacement from {y: 4, d: 1, p: 4, e: 1, n: 1}?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(832)*-4*1)**2 + ((sqrt(832) + -3)*-4)**2.\nAnswer: -768*sqrt(13) + 26768","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = 44*k - 19037. Calculate n(432).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**0)**25*t\/(t\/t**(-3\/4))*t*t**(-2\/9)*t assuming t is positive.\nAnswer: t**(37\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 384 - 189. Suppose 2*o - 134 = 3*g + x, 4*o = 5*g + 657. What is the tens digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*f - 2*f - 7*f**3 - 34*f**3.\nAnswer: -41*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -h + 1000. Suppose 5*p - h = 325. Suppose 3*a - 17 - p = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) be the second derivative of -11*h**4\/4 + 12*h. Let s(j) be the third derivative of -4*j**2 + 0*j**3 + 0*j + 0*j**4 + 1\/60*j**5 + 1. Give s(w(g)).\nAnswer: 1089*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.07 + -3.07. Let h = t - -4. What is the second biggest value in 0, 1\/2, h?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -3*q**3 + 9*q**2 - 9*q + 6. Let y be o(2). Let 6\/11*p + 0*p**3 + 12\/11*p**4 - 12\/11*p**2 - 6\/11*p**5 + y = 0. Calculate p.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 268367242.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -9 - (-22 + 5) - (5 - -2) - 13\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 2220333211 (base 4) to base 3\nAnswer: 1022011111221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*t**2 + 91*t - 296.\nAnswer: -4*t + 91","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 0 + -100200?\nAnswer: -100200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 c, 1 f, and 1 w when four letters picked without replacement from {w: 6, c: 3, f: 1, g: 2}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2, -3\/2, 68, 1\/6?\nAnswer: 68","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 166 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is six fifths of a kilometer in meters?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3335329 is divided by 364.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -u - 3 = -b, 3*b = 4061*u - 4059*u + 11 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*-2*(-3 + -3*sqrt(1900)*-4)*3*4 + 1)**2.\nAnswer: -3749760*sqrt(19) + 1418389489","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (sqrt(612) - (0 + sqrt(612) + sqrt(612))**2) + (2 + sqrt(612)*-2)**2 - ((2*sqrt(85) - sqrt(85))*5 - sqrt(85))\/(sqrt(25)\/(sqrt(20)\/sqrt(4)))) + -1.\nAnswer: -46*sqrt(17) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 536953000 to the nearest one million.\nAnswer: 537000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*z - 51 = -3*k, 0 = -66*z - 3*k + 334 + 851 for z.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -168 divided by -7.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 4*k + 48. Let s be y(-11). Solve -s = 4*p + 12 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -4, -1, 2?\n\"Answer: 3*i - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from aaapapappaa. What is prob of picking 3 p?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 904 (base 14) to base 10\nAnswer: 1768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 14*c - 4*c + 3630. What is c rounded to the nearest 10?\nAnswer: -360","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7411.4523 nanoseconds in hours?\nAnswer: 0.00000000205873675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 5007521?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 57*g - 43*g - 1778 = 0. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -14000 + 2*i + 2*i - 5*i. Let v be j(0). Round v to the nearest 1000.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) be the second derivative of -b**6\/180 - b**5\/20 + 11*b**3\/3 + 5*b. Let d(x) be the second derivative of z(x). Solve d(s) = 0 for s.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 20 and 298?\nAnswer: 2980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(t) = t. Let w(d) be the third derivative of d**5\/120 + d**3 - 14*d**2. Let h(l) be the first derivative of w(l). What is z(h(x))?\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -23.57 + 66.57. Are 1\/4 and i nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 51134 is divided by 34?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 1504 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = -5*h - 6. Suppose -3*w - 293 = -2*v, 186 = 4*w - h*w - v. Let k = w + 155. Calculate the greatest common factor of 20 and k.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -201 (base 4) to base 6.\nAnswer: -53","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -124000 rounded to the nearest one thousand?\nAnswer: -124000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*d + 79 = 3*d, 0 = -2*w - 5*d - 50. Calculate the remainder when ((-6)\/w)\/((-2)\/(-20)) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -71\/27 - 988\/189. Find the common denominator of 23\/232 and r.\nAnswer: 1624","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-10)\/(-3) + 8\/(-24). Suppose 0*v + l*v - 249 = 0. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1*2 + (-5 - (-2464082505)\/2478). Let m = -6960988\/7 + d. Let w = -13\/59 + m. Find the common denominator of -63\/5 and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 72 and 84 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -22 + 2. Let i = -11 - w. Suppose i*c = 8*c + 56. What is the greatest common factor of 14 and c?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = -43*p - 28 - 26*p + 30*p - 36*p - 50*p**2 - 19*p**3. Let b(r) = -12*r**3 - 33*r**2 - 50*r - 19. Let u(z) = 8*b(z) - 5*i(z). Factor u(w).\nAnswer: -(w + 1)**2*(w + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 38 - 27. Calculate the smallest common multiple of 6 and w.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 12\/259 and -19\/2499.\nAnswer: 92463","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*p + 4*h - 16, -p + 13 = 3*h + 2. Suppose -3*g = 4*f - f + 156, 214 = -4*f - p*g. Let b = -37 - f. Calculate the remainder when 53 is divided by b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 267776?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the first derivative of 46 - 2*c**2 - 9 + 14*c**2. Let f(g) = -4*g**2. Determine f(q(a)).\nAnswer: -2304*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1214280 by -202380.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = 2*b - 5, 3*b - 3*q = 19 - 4. Suppose -65 = -5*s + p, -2*s + 3*s - 4*p - 13 = b. List the prime factors of s.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -259095 divided by -5?\nAnswer: 51819","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13084044?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x + v - 4 = 0, -4 = -4*x - 5*v - 0 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 18 + -13. Let r = 5463 + -5461. Solve r*f + f = 4*b - 8, -2*b = -o*f - 18 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 1, s: 1, k: 2, z: 3}. Give prob of sequence zke.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2136 - q - 467 + 0*q**2 + q**2 + q.\nAnswer: q**2 + 1669","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*(sqrt(1300) + 1*(sqrt(1300) + -1) + -2 + (sqrt(1300)*1 - sqrt(1300)) + -1) + -3)*4.\nAnswer: -400*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*g**4 + 2*g**4 - g**4 + (27*g - 5 + 21*g - 47*g)*(-g**3 + 0*g**3 - g**3).\nAnswer: -3*g**4 + 10*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 3*n**3 + 37*n**2 - 2*n - 158. Let j be x(-12). Which is the fourth smallest value?  (a) 0.1  (b) 5  (c) 4  (d) j\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in 730.0747 micrometers?\nAnswer: 0.07300747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -4*d. Let c(q) = -q + 3 - 4*q + 3. Suppose 0 = -3*i + 5*i + 4*n - 28, -2*i = 2*n - 20. Let z(m) = m - 1. Let k(h) = i*z(h) + c(h). Calculate k(s(a)).\nAnswer: -4*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 58 + -51 + 13 + 27.\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -307 (base 8) to base 14.\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = -4*f + 22. Let q be s(5). Let n(v) = -v**2 + 19 - 22 - 6*v - q*v**3 + 3*v. Calculate n(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14068, -28112, -42146, -56164, -70160, -84128, -98062, -111956?\nAnswer: -125804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -494, -587, -680, -773?\nAnswer: -866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*l - 4*m + 2, l + 5*m - 13 = 14. Let f(i) be the first derivative of -5*i**2\/2 + 6*i + 24. Let b(s) = 9*s - 11. What is l*f(p) + 4*b(p)?\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3333 - -1312?\nAnswer: -2021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-9\/7)*y**(-2\/15)*y\/y**(-2\/5)*y**7 assuming y is positive.\nAnswer: y**(838\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9588 and 459.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = -291*f + 116. Does 16 divide u(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2561*s + 2170 = 2623*s for s.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/((m\/m**(-2\/15))\/m))\/(m**(-7)*m))\/((m*m**(-2\/7)*m)\/m**3) assuming m is positive.\nAnswer: m**(856\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2472*m + 1277*m + 2352 = -1293*m for m.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d when three letters picked without replacement from {d: 3, f: 11, r: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-5)\/115)\/((-64)\/(-11648)) + (-8)\/(-1)\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-36)\/(-30))\/(8\/5 - 1). Solve 3*h = -p + 5 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 4*v**2 + 5*v - 5. Let m be n(-5). Let z = -5 - m. Let y = -2 - -7. Which is the closest to z?  (a) y  (b) 0.3  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16\/10*(3 - 8))\/((-330)\/(-165)). Put v, 8, -29, 0 in increasing order.\nAnswer: -29, v, 0, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -2*j + 8, 5 = 2*x - j - 0. Calculate the common denominator of 23\/4 and (-1)\/(x - 3 - (-33)\/(-21)).\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = 5*g - 4*h - 24, -4*h = 5*g - 21. What is the nearest to -2 in -3, g, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 c and 1 u when four letters picked without replacement from ckccuuuccuk?\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 377 a factor of 113467?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2\/(-3) + 26\/156*5692 is divided by 192.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = z + 10*w, 2*z + z + 856*w - 426*w + 20 = 426*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j - 11 = 3*y, 5*y + 11 = 4*y - 4*j for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) be the first derivative of w**9\/504 - w**6\/30 - w**3\/3 - 17. Let o(m) be the third derivative of l(m). What is the third derivative of o(t) wrt t?\nAnswer: 360*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 3, -2, 0.02, -182 in decreasing order.\nAnswer: 3, 0.02, 0, -2, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 15640*j + 437900. Give m(-28).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -539*l + 15073. Calculate v(28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.1483 - 0.1047. Do h and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = 7 - 16 + 3*b - 4. Let r be q(6). Suppose r*v - 1091 = 374. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = 3*l - 10. Let a be x(1). Let s(h) = 8*h + 1. Let u(v) = -v**3 - 3*v**2 + v - 18. Let k be u(-4). Let j(t) = -7*t - 1. What is a*j(f) + k*s(f)?\nAnswer: f + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3248426*d**2 - 1 + 3252662*d**2 - 6501057*d**2.\nAnswer: 31*d**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 482*h**2 + 387*h**2 - 272*h**2.\nAnswer: 597*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/(-1) - (0 - 0). Suppose -y + 2*g = 0, -2*y + g = -2*g - 1. Let h = y - b. What is the lowest common multiple of h and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -749, -2994, -6743, -12002, -18777, -27074, -36899?\nAnswer: -48258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 10, b: 2}. Give prob of sequence jjb.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4737?\nAnswer: 3, 1579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d - 3 + 11 = 0. Suppose 8 = 2*o - d. Suppose o*c = 13 + 17. List the prime factors of c.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 1769*d**2 + 6. Let u(z) = z**2. What is u(a(c))?\nAnswer: 3129361*c**4 + 21228*c**2 + 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -4*g - 381 + 10, -5*d + 5*g + 1795 = 0. List the prime factors of d.\nAnswer: 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*x + 2*z = -17 + 1, -3*z - 12 = -3*x. Suppose -x*u + 15 = 5*h - 12, 5*u + 3*h = 24. Let p(t) = -t + 7. Let w be p(4). Solve -12 = u*l - w for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -8 in -3, -25.7, -9.2?\nAnswer: -9.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -198 - -214. Let p(z) = 22*z**2 + z - 1. What is the lowest common multiple of p(1) and v?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wf when two letters picked without replacement from {f: 1, u: 8, w: 4, z: 7}?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 144*w + 4 + 1 - 145*w + 1. Let h(z) = -z**2. Calculate h(t(j)).\nAnswer: -j**2 + 12*j - 36","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*g - 3*q + 18, 5918*g - 2*q = 5923*g - 45 for g.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) -5  (c) -2\/27  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 4*n - 1. Let f(b) = 10*b - 2. Let k(w) = w - 4. Let m be k(7). Let r = 2 + m. Give r*f(g) - 12*a(g).\nAnswer: 2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -13.7 + -4.3. Let p = v + 13. Let q = -3.94 + -0.06. Sort -3, p, q in decreasing order.\nAnswer: -3, q, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9757 + 14*i - 25*i + 18*i.\nAnswer: 7*i - 9757","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**2 + 1273*r - 10143. What is q(8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 21 + -31. Is 35\/i*(-48)\/14 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*i + 3*z = -3*i + 15, 4*i - 10 = -2*z. Let n = 580 - 576. Suppose i = n*u + 5*x + 7, 0*u = -3*u + 3*x + 15. Solve -3*f + f - u = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 110 - 110.1. Sort z, 5, -0.5, -5 in ascending order.\nAnswer: -5, -0.5, z, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = z - 10. Let u be h(12). Suppose -5*b - 3*j + 219 = -2*b, 3*b = u*j + 199. Let k = b + -16. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = -2*l - 222. Let o(j) = 47*j - 456. What is the remainder when l is divided by o(10)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 1)*(1 + 2 - 2)*(-2 + 4*t + 2).\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = 6*o**2 + 90*o - 69. What is g(-16)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 113231 and 569?\nAnswer: 569","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 260515 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = 44*f. Let p(b) = 2*b - 2. Give w(p(x)).\nAnswer: 88*x - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -863 + -76. Let h = j + 939.000001588. What is h rounded to seven dps?\nAnswer: 0.0000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -349457245 divided by -5\nAnswer: 69891449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 14389578 to the power of 1\/3, to the nearest integer?\nAnswer: 243","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -56.\nAnswer: 3\/56","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor 474 - 59*p**2 + 77*p**2 - 81 + 90*p - 138*p - 363*p.\nAnswer: 3*(p - 1)*(6*p - 131)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1953)\/(-252) - (-1 + 8) - (-7)\/(-20).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71 = -2*o + 2*j + 387, 5*j + 630 = 4*o. Is 10 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 17*d**2 - d - 4. Let z(c) = 7*c**2 - 2. Let g(n) = 2*o(n) - 5*z(n). Let s(j) = j**3 - 6*j**2 + 4. Let r be s(6). Suppose -r*k = -0*k + 8. Give g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -3*p. Let b(z) = 17*z - 270. Let x be b(16). Suppose -4*c - 200 = -9*c. Let s(n) = 44*n - 84*n + 11*n**x + c*n. What is j(s(y))?\nAnswer: -33*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 6*s - 21. Let l(u) be the first derivative of -12*u + s*u + 6*u**2 + u + 2. Differentiate l(j) wrt j.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = -7*m + 7, z - 1 = 3249*m - 3251*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t + 1 = -0*t. Let s be 4\/(-3 + t)*-2. Let i be 2\/(-2 - 0)*s. Let n(c) = -2*c + 2. What is n(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 23724595?\nAnswer: 5, 607, 7817","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of -d**6\/45 - d**5\/30 + d**3\/3 - 5. Let l(m) be the third derivative of y(m). Find the second derivative of l(h) wrt h.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*r - r - 5*r)*(31 - 19 + 10) + (0 + 3 - 1)*((-5*r + 4*r - r)*(-2 + 0 + 0) + 0*r - 2*r + 0*r + r + 4*r + 0*r).\nAnswer: -30*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = -5*h + 633, -7*m = -3*m - 12. What is the remainder when h is divided by 34?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -h**3 + 4*h**3 + h**3 - 7*h**3 + 3*h**3 + 3*h**3 + (h + 0 + 0)*(-3*h**2 + 6*h**2 - 4*h**2) + (30*h**2 - 18*h**2 + 7*h**2)*(-26 - 5*h + 26).\nAnswer: -93*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pl when two letters picked without replacement from hmpppppplpphppjj?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = 15*a - a - a + 27 + 2*a - 17*a. Let j be q(12). Solve -8 = j*f - 20, -5*b - 3*f + 22 = 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -21, -10, 13, 48?\n\"Answer: 6*a**2 - 7*a - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = 4*g + 2*g - 5*g. Let o(z) be the third derivative of z**5\/10 + 20355*z**2. Determine o(l(x)).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 11*l + 44. Let h be n(2). Put 4, 3, 0, h in descending order.\nAnswer: h, 4, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:45 PM and 5:57 AM?\nAnswer: 612","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 19.2 + -19. What is the third biggest value in -2, 4, o?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -1.43.\nAnswer: 0.715","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -11, 4, 3, -12, -4 in descending order.\nAnswer: 4, 3, -4, -11, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = m - 7. Let h = -11 - -21. Let a be q(h). Let l(r) = r**3 - 2*r**2 + 2*r + 5. Is l(a) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 15 and 1869645.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*c**2 - 2*c**2 - c**2)*(5 - 5 - 2)*(-4 + c + 4)*(-20*c - c - 8*c).\nAnswer: 58*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -188400085 + 13928.37\nAnswer: -188386156.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*d + 6 = 3*u + 4*d, 0 = d. Suppose -g = -19 - 9. Suppose t = 4*q + g, t + q = -2*q + 14. What is the least common multiple of t and u?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -3\/10  (b) 4  (c) -79  (d) 3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 4, -3\/8, -30.64, -3, -0.4, -2\/3?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m - 144 = m. Let w = -34 + m. Solve 5*l + 6 = -4*x, 3*x - w*x + 10 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2 + (40\/(-12))\/((-4)\/6). Solve -26 = -3*x + 5*c, 0 = -3*c + j*c + 16 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*w - 5 = 22*w. Let v be (-2)\/3 + 7\/(-3). Which is smaller: v or w?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a**3 - 336*a**2 - 991*a - 165. What is y(-165)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 - 111001010010101000?\nAnswer: -111001010010101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) = 2*j - 8. Let l be s(6). Suppose 160 = 16*n - 14*n. Let o be 64\/n*5\/2. Solve 7*i - 4*i = o*u + l, -i + 12 = 2*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*n**2 - 2*n**2 + 2*n**2)*(16 - 16 + 2*n + (-n - n + 4*n)*(2 + 0 - 3) + 2*n - 2*n - 6*n).\nAnswer: -12*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -45 + 42 + (5 - 2) + 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 214 divide 3638?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*h**2 + 14787*h + 0*h**2 - 15676*h in the form v*h + u*h**2 + q and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.62 - -0.73. Put 5, -2\/5, f, -4 in increasing order.\nAnswer: -4, -2\/5, f, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -277 = 37*w - 2372 - 347. Calculate the remainder when 252 is divided by w.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 133710 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 131585 (base 12) in base 8?\nAnswer: 1144365","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 111.4 and -13?\nAnswer: 124.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -1\/3  (b) -0.01  (c) -2\/11  (d) -0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 14 = u. Let v(d) = 32*d**2 + 10*d - 21. Let b(l) = 7*l**2 + 3*l - 5. Let m(p) = -9*b(p) + 2*v(p). Determine m(u).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**4 - 12*j**3 + 87*j**2 - 72*j.\nAnswer: -3*j*(j - 3)*(j - 1)*(j + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 + 7*p + p + 7*p**2 + 4*p**2 - 4. Let y be r(8). What is y rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -163, -166, -169, -172, -175, -178?\n\"Answer: -3*z - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*p - 85 - 1 - 89 - 2*p - 135.\nAnswer: p - 310","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that 5*x**2 - 53045*x + 3374400 = 0.\nAnswer: 64, 10545","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -226 - -235.8. Let k = s + -13.8. Are k and 2\/25 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 + 4*t + 1. Suppose 4*d - 37 = -5. Let f = -11 + d. Calculate y(f).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 117\/20 and -13\/330?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = -o - 1. Suppose o*t - 4*t - 201 = 0. Suppose -19 + t = 3*v. Is 15 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1252 - 1251.5. Let i = 1.5 + 0.5. Let w = -2.2 + i. Which is the smallest value?  (a) q  (b) 0.3  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.337 and 13861.\nAnswer: 4671.157","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*l = 147 - 91 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in one fifth of a microgram?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and -197555.\nAnswer: -79022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.0523 - -506.9477. Let p = 508 - g. Let w be ((-3)\/(-45))\/(1\/(-2)). Which is the third biggest value?  (a) w  (b) p  (c) -1\/3  (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 128\/221 - 6\/13. Suppose -2*b = -1 - 1. Is b greater than i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kzzr when four letters picked without replacement from {q: 1, z: 2, k: 2, f: 1, r: 2}?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/45)\/((2\/3)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 1. Suppose 386 = o + 388. Let u(h) = 15 - 30*h - 1 + 31. Let d(s) = o*r(s) + u(s). What is the first derivative of d(g) wrt g?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-56)\/84 - (-3670)\/6. Suppose -404 = -2*c + 4*k, -3*c - 5*k = -6*k - i. Is c a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) be the third derivative of -q**4\/8 + 2*q**3\/3 - q**2 - 2525. Let y(d) = -4*d + 4. Calculate 7*u(k) - 6*y(k).\nAnswer: 3*k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (10\/4)\/(2\/(-64)*-16)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 41744657, 83489307, 125233957?\n\"Answer: 41744650*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**4 + 661*w**3 + 107535*w**2 + 106875*w.\nAnswer: w*(w + 1)*(w + 285)*(w + 375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 367 = -18*u + 1105. What is the greatest common factor of 451 and u?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 374390441?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -564*m - 333*m + 168*m - 39509 + 3059 for m.\nAnswer: -50","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 101910 and 18318.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert 9735.809l to millilitres.\nAnswer: 9735809","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**3 + 9*z**2 + 2*z - 2. Let w be c(-8). Suppose -5*x = -146 + w. What is the units digit of x?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -18, -0.02128, 2, -3.\nAnswer: -18, -3, -0.02128, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s - 104 = -99 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -18*a + 71. Calculate u(3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 < 3.33?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 3380055?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2)\/(-4) - (-432)\/288. Let b(k) = k**3 - 2*k**2 - 2*k - 2. Let h(x) = -2*x**3 + 3*x**2 + 3*x + 3. Calculate y*h(g) + 3*b(g).\nAnswer: -g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 16*a**2 + 96*a + 15. What is p(-6)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 5682.751 weeks?\nAnswer: 3436927804.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 36 - 17. Suppose 3*b + 7*p + 14 = 3*p, 0 = -2*b + 3*p + l. Calculate the common denominator of 3 - b - (-72)\/(-10) and -31\/8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 357 divide 1494263127?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15193604?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q - 27 = -315. Let c = q - -13. What is the remainder when c is divided by ((-144)\/27)\/4*(0 + -21)?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*s = 2*s + 170. Let b = 33 + -33. Solve 2*t + 0*t - s = b for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 8.2525 and 0.2.\nAnswer: 1.6505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4240*j - 130298 = 1504*j + 99526 for j.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 249*m - 144*m + 630 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*g + 4113 = 27*g. Let d = g + -477. Suppose -297*k + d = -295*k. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 157.698666858 - 0.1.\nAnswer: 157.598666858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i**(1\/15)*i**(-19)*(i*i**(-7))\/i*i*i*i\/(i**29*i) assuming i is positive.\nAnswer: i**(-794\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (3\/(-3))\/((2809\/(-53))\/4823)\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (4*-7)\/(21\/28 + -1). Let g be ((-9)\/(-6))\/(12\/b). Let d be g\/(-8)*((-60)\/42)\/5. What is the closest to 0 in 5, -1\/5, d?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*g - 4*h + 28 = 15*g, -3*h = 2*g - 20. Solve -u + 12 = -g*u for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3308.3 - -3141. Let o = 167 + x. Which is the second smallest value?  (a) o  (b) 3  (c) 2\/5  (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -13 in -3, 2, -6\/5, -3\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 5, 4\/15, -0.1, 3?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - 2*-6) + 26418\/(-2023)?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p = -8*l - 55, 115464*l = 115467*l + 2*p + 18 for l.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -1 - -1 - 0 - (-3 - -87 - (-132 - -153))\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -28 - 32. Calculate the lowest common multiple of 14 and x.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2346*t + 222*t**2 - 2346*t.\nAnswer: 222*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 43 (base 16) to base 6\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1380 + 1382. Let v be 6*3\/(9\/2). Solve 0*w + 2*c - 23 = 3*w, -z*w - v*c + 6 = 0 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -8*r - 1. Let v be q(-6). Let l be 1 - (1 + v)\/3. Calculate the common denominator of 39\/10 and (-3)\/(-66)*l*-2.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -1\/3  (b) -6\/209  (c) 4  (d) 7135\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r = -39 + 75. Suppose 5*n = -3*z + 48, -r*n - 4*z = -n - 49. Solve -12 = -4*u + n*u + 3*k, 0 = -3*k - 12 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 12202, 68, 3 in ascending order.\nAnswer: 3, 68, 12202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 24 - 13. Suppose -q = 4*k - 43. Factor 8*f - 3*f**2 - k*f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*k**2 + 2*k**2 - 2*k + 5*k**2 + (-k + k - 2*k**2)*(2 + 1 - 5) + (5 - 2 - 1)*(-2 + 2 + k**2) - 1 + 1 + k**2.\nAnswer: 26*k**2 - 2*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 20*s + 85882 - 85362 for s.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 15*c + 73. Let t be b(-3). Suppose t*y - 3824 = 37476. Does 59 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -802644 >= -802644?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g**4 + g**4 - 5*g**4)*(1 - 2 - 1) - 2*g**3 - g**4 + 2*g**3 + 0*g**4 + 5*g**4 + 4*g**4 + (-g**4 + 4*g**4 - g**4)*(20 - 4 - 4).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 491 minutes before 2:58 PM?\nAnswer: 6:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b = 5*b + 22. Let m(c) = -c**2 - 5*c + 1. Let f(d) = -d**3 - 17*d**2 - 25*d - 6. Let w(g) = -f(g) + 7*m(g). Give w(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 181, 122, 23, -116, -295, -514, -773?\n\"Answer: -20*d**2 + d + 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2\/3 or 108?\nAnswer: 108","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:34 PM and 7:16 PM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2191*r - 8616.\nAnswer: 2191","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 54723925*d**3 - 75950214 wrt d.\nAnswer: 164171775*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 21 - (43 + -120 + 140)?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -y + 5*y + y - 28 = 2*y + 5*s, 4 = 5*y + 13*s for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from auuu. Give prob of picking 2 u and 1 a.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/((400\/(-480))\/((-10)\/(-3)))?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -36*v**3 - 2*v**2 + 2*v - 97. Let r(j) = 108*j**3 + 7*j**2 - 7*j + 292. Let n(m) = -7*a(m) - 2*r(m). Differentiate n(l) with respect to l.\nAnswer: 108*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 5 + 8 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 19840974 divided by 4353\nAnswer: 4558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -41 divided by 628166\nAnswer: -41\/628166","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -3*h**4 - 396*h**3 - 6741*h**2 - 1668*h + 76608 = 0.\nAnswer: -112, -19, -4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13604*b - 13604*b - 4 + 2*b**3 + 4.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 1 = -p, 4*u + 0 = -5*p - 1. Let t = p - 1. Suppose 0 = -t*b - 2*b + 12. Solve 3 = b*r - 9 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:49 PM and 6:25 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 263 in 11, -2, 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -6*a**2 + 3*a + 16. Let r(p) = 9*p**3 + 289*p**2 + 32*p - 1. Let s be r(-32). Let n(w) = -w**2 + w + 1. Determine s*l(z) + 5*n(z).\nAnswer: z**2 + 2*z - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 2 - 4 - 5*n + 3*n + 3. Let z be o(-1). List the prime factors of 4 - 1*(-7 + z).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 12:29 PM?\nAnswer: 12:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**3 - 6*b**2 - 3*b + 1. Let c be q(-5). Let g(s) = s**2 + 10*s + 10. Let k be g(c). Let l be (19 - 2) + 0 + k. Solve 5*j - 7 - l = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 186.25 + -81.25. Which is the smallest value?  (a) -4  (b) p  (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -113242 - -1?\nAnswer: -113241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) be the third derivative of -89*a**6\/720 - a**5\/30 - a**4\/24 + 3*a**2. Let n(q) be the second derivative of d(q). Is n(-3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.2 + 25.365055.\nAnswer: 25.165055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -88, -103, -122, -139, -148, -143, -118, -67?\n\"Answer: h**3 - 8*h**2 + 2*h - 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -53\/3 - -18. Let v = 46.1 - 46. What is the biggest value in a, 0.052, v?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -14*k**2*x**3 + 4*k**2*x**2 + 127*k*x**4 - 3*k*x**2 - 117*x wrt x?\nAnswer: -84*k**2 + 3048*k*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -3*b - 18. What is l(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7151 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/3?  (a) 0.5  (b) -6  (c) 3  (d) -0.24\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, 1, 19, -3\/2 in descending order.\nAnswer: 19, 1, 2\/7, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 32 and -0.9.\nAnswer: -28.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 130*n + 1948. Let l be q(-15). Which is the nearest to 2?  (a) -0.1  (b) -0.22  (c) l  (d) -5\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-10)\/(-6) + 7\/21. Calculate the highest common factor of n and 18.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 11*q**2 - 18*q**2 + 12*q**2 to the form f*q**2 + l + a*q and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 165369 is divided by 122?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -530948*s*v**3 + 270*s*v**2 - 3864*s*v + v**3 wrt v.\nAnswer: -3185688*s + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 3.3616761 to zero dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0 or -114\/1301?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 27*v**4 - 7*v**3 + 139*v - 1. Let u(p) = 52*p**4 - 12*p**3 + 279*p - 2. Let l(x) = -5*m(x) + 3*u(x). Find the second derivative of l(t) wrt t.\nAnswer: 252*t**2 - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2565\/(-216) - (-70)\/(-560)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2.2081971 + 8.20819666. Let f = -4.5 - 1.5. Let g = f + j. Round g to 7 decimal places.\nAnswer: -0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*i - 605 = 515. Does 16 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = t - 2*t - 2. Let c be 1\/(-2) - (-15)\/t. Let d = -1 - c. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (147\/(-1044))\/(3\/(-6)). Let s = -3\/58 - a. Let n = 0.72 + -0.6. Is s greater than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11888921 to the power of 1\/2, to the nearest integer?\nAnswer: 3448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**5 + g + 2. Let u(m) = 126*m**5 + 192*m - 10. Let l(j) = -u(j) - 5*w(j). What is the second derivative of l(x) wrt x?\nAnswer: -2420*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1657 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1.295 + -1.695. Put 0.3, r, -2\/9, 495 in increasing order.\nAnswer: r, -2\/9, 0.3, 495","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12a (base 12) to base 8.\nAnswer: -262","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in -3, 0.3, -0.1, -8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 164283 - 164283.1. Suppose 7*k = 2*k - 340. Let w = 206\/3 + k. What is the nearest to v in 0.1, 0, w?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 34 (base 12) to base 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1623833 rounded to one decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from phhphhhhhhhhh. Give prob of sequence hhp.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3*p - 4*p + 4*p - 29*p + 10 - 10 + (3*p + 0*p - 2*p)*(-2 + 6 - 2))*(77*p + 1 - 28*p - 11*p) in the form s*p**2 + g + j*p and give s.\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Express -f**2 + 2*f**4 + 3*f**3 - 19*f + 2*f**3 - 7*f**4 + 22*f in the form m*f**2 + n + p*f + d*f**4 + q*f**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -23 + (-38 - (-93 - 6)) - 4\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = y**2 + 3*y + 2. Let j be -9 + 5 - (-1)\/1. Calculate s(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 u, and 1 g when three letters picked without replacement from uuzgguugurduu.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Divide -11 by 3860.\nAnswer: -11\/3860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = -5*q + 10, j + 0 + 6 = -3*q. Let r = j + -4. Solve r*t = 3*t for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 18967856 and 1856?\nAnswer: 464","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/(-3) - (-26)\/6. Let j = 21\/4 + -9\/2. Which is the third biggest value?  (a) j  (b) 2\/3  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -161*s**2 - 233*s?\nAnswer: -322","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 2*z**3 + 7*z**2 - 45*z + 24. What is q(4)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1465015 = 5*l - 3*q, 20*l + q = 21*l + 293005. What is l rounded to the nearest ten thousand?\nAnswer: -290000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/s**18)\/(s**0*s)*s\/(s*s*s**(-26)\/s)*s**(-1\/15)\/s)**41 assuming s is positive.\nAnswer: s**(4879\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 8\/(-10) + 72\/15. Suppose j = 3*d + 16, 28 = 5*j - 5*d - 12. Solve p + 0 = -j*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify i*i**(-7)*i*((i**8\/i)\/i)\/i*i*i\/(i*i**(-2\/3)*i)*i\/((i*i**14\/i)\/i) assuming i is positive.\nAnswer: i**(-34\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 7*c**2 + 27*c + 5. Determine b(-4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange n - 4*n**2 - 8*n + 6*n**2 to p*n + r + h*n**2 and give h.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 20397511 to the power of 1\/3, to the nearest integer?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 134563384 to the nearest integer?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 6 + (-6 - -3) - -1. Suppose -7*r = -p*r + l - 64, 2*r - 3*l - 61 = 0. What are the prime factors of r?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154957 is divided by 241?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 4. Suppose 5*c - 67 = 4*b, h*c - 3*b = b + 45. What are the prime factors of c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 2\/11  (b) -22  (c) -19  (d) 2\/3  (e) -2\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) be the second derivative of b**3\/6 - 3*b**2 + 8*b. What is a(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/((-26)\/12)*-7*(-9)\/(-567).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 765 and 30447?\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = 112*c - 5. Solve 97*i - 87*i - 50 = c for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/((10580\/(-552))\/(-115)).\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 31179 a multiple of 270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 150.56 + -150.188. Which is greater: z or -6?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -746 + 1065. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*j = 28*j + 2*s + 5674, -j + 2855 = -4*s. List the prime factors of j.\nAnswer: 19, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(p) = -20*p + 6. Let k(j) be the first derivative of 7*j**2\/2 - 2*j - 1. Let i(m) = -11*k(m) - 4*y(m). Does 13 divide i(5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21*u**3 - 15*u**2 - 22*u**2 + 79*u**3.\nAnswer: 58*u**3 - 37*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m - 21. Let p be w(0). Let r be (-75)\/p - 6\/(-14). Suppose -6*v - r = 8. Which is the second smallest value?  (a) 1\/6  (b) v  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 435 a factor of 127890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.31 - 2802\nAnswer: -2801.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 1 + 8 + -13 + 116\/30. Which is the second smallest value?  (a) -40  (b) n  (c) -5  (d) 2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 77 divide (-20)\/(-30)*(-3069)\/(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7 times -1212869.7?\nAnswer: -849008.79","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*j**3\/2 + 32607*j**2 - 177170130*j - 354470700.\nAnswer: -3*(j - 10870)**2*(j + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 4824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 51926.396 to the nearest 10.\nAnswer: 51930","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10023169.\nAnswer: 13, 771013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - -9. Let w be (-8*2\/(-3))\/((-5)\/(-15)). Let m be ((180\/w)\/5)\/(6\/40). What is the highest common divisor of f and m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4879209945 to the power of 1\/3, to the nearest integer?\nAnswer: 1696","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 1\/6  (b) -13.3  (c) 0.1  (d) 2  (e) -0.03  (f) 3\/31\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 59, 101, 117, 95, 23?\n\"Answer: -2*i**3 - i**2 + 59*i + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 18090 + 27754. What are the prime factors of k?\nAnswer: 2, 73, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:34 PM and 5:50 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -36235*v**3 - 7*v**2 + 7*v + 7. Let x(m) = 234416293*m**3 + 45285*m**2 - 45285*m - 45285. What is 45285*a(w) + 7*x(w)?\nAnswer: 12076*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a**2\/3 + 5*a\/3 + 2 = 0 for a.\nAnswer: -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is l in l**2 + 442633*l = 0?\nAnswer: -442633, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 17*k**3 - 25*k**2 + 11. Let u(f) = 35*f**3 - 49*f**2 + 22. Let x(n) = -4*u(n) + 7*z(n). Let s(m) = -4*m**3 + 4*m**2 - 2. Give -11*s(c) + 2*x(c).\nAnswer: 2*c**3 - 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:40 PM and 10:31 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor 24*o**2 + 280*o - 208 - 76*o - 13*o**2 - 7*o**2.\nAnswer: 4*(o - 1)*(o + 52)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28686 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: (-49 - -46) + (2 - -2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 4*a**2. Let n(q) = -13*q - 6. Let l be n(-3). Let j(g) = -g**2 + l - 33. Determine t(j(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = d**3 - d**2 - d. Let x be w(0). Suppose x = 3*g + 3*s - 6, 4*g + 2*s - 1 = 5*s. Suppose -q - g = -4. List the prime factors of q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -16*j + 600. Give y(38).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - 1 - (-1 - 0). Suppose -4*y + 15 - 7 = n. Let r(b) = -14*b + 1. Let o be r(-1). Solve -y*p = p + o for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.1?  (a) -4\/3  (b) -1\/20  (c) -5  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*d**3 + 2*d**3 + d**3 + 5*d**3.\nAnswer: 10*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 1111  (b) -3  (c) 2  (d) 1  (e) -0.08  (f) -4  (g) -1\/40\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 4*o = 4*i - 98, -4*i = -5*o - 63. Suppose 0 = -3*u - 4*t + 110, -u + 5*t + 33 = 9. What is the greatest common divisor of i and u?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 666838?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s + 1. Let q be 7\/(-42) - (-306)\/(-108). Let o(a) = -2*a + 3. Calculate q*d(w) + o(w).\nAnswer: -5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (33*u**5 + 51*u**5 - 61*u**5)*(-15 - 2 + 3)*(-1 + 8 - 1).\nAnswer: -1932*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20504222 - 243?\nAnswer: -20504505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -3 - (3 - (3 + 2)). Let m(a) = 7*a**3 + 3*a**2 + a. Calculate m(i).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*h + 21*h = 6. Suppose 2*g - b = 9, -g - 2 = 2*b + h. Solve -3*c + g*j + j + 9 = 0, 3*c + j - 5 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.56472 + -2.1.\nAnswer: 2.46472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 28057.1ml to litres.\nAnswer: 28.0571","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000013874 to 7 dps.\nAnswer: -0.0000139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*h**3\/8 - 6000*h**2 - 48009*h\/2 - 24006.\nAnswer: 3*(h - 16004)*(h + 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 728801873 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 14, -9, -4 in decreasing order.\nAnswer: 14, -4, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -2.2  (b) 9  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 63*l**2. Let d(q) = 216*q**2 - 1. What is a(d(x))?\nAnswer: 2939328*x**4 - 27216*x**2 + 63","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g**(-7\/6)*g**1*g assuming g is positive.\nAnswer: g**(5\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -3 and -6.57?\nAnswer: 3.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = s**3 + 6*s**2 + 7*s + 62. Give m(-6).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express 0*s + 0*s + 3*s + 0 + 0 + s + (2*s - 3*s + 3*s)*(-4 + 2 + 3) + 2*s + 3*s - 3*s + 0*s - 2*s + 3*s as b*s + l and give b.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((d\/d**(8\/9))\/(d\/d**8*d))**(-1\/45))**15)**(12\/13) assuming d is positive.\nAnswer: d**(-220\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3470 = -3*q - 2*k, -17 = -5*k + 3. List the prime factors of q.\nAnswer: 2, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*u - 2*u + 0*u)*(36 - 25 - 21) to z + h*u and give h.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 bigger than -17351092\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 584.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = -9*h**2 - 136*h - 144. Calculate g(-14).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -33*c**2 - 332*c**2 - 15*c**2 in the form l*c**2 + p + w*c and give w.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lilillllll. What is prob of sequence ll?\nAnswer: 28\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/5?  (a) -4  (b) 30  (c) 4  (d) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 y and 1 h when four letters picked without replacement from hyhhhhhyhyhhyhhyhyh?\nAnswer: 65\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 18 = 3*n, -8 = -54*o + 52*o + n. Let -2\/9*y**5 + 0 - 2\/9*y**3 - 2\/3*y**4 + 4\/9*y + 2\/3*y**o = 0. What is y?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find c, given that -15*c**2 - 565*c + 86330 = 0.\nAnswer: -97, 178\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*(0 + sqrt(175) + 1 + sqrt(175) + sqrt(175) + sqrt(175) + sqrt(175)*-1*-5))**2.\nAnswer: 3240*sqrt(7) + 510336","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2757544 centuries in months?\nAnswer: 330.90528","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhxxxxhxxxxhxxxxxh?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 11113 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 25 + -224a?\nAnswer: -2225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14498 and 144980?\nAnswer: 144980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in 1\/4 of a gram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 23, -1478, -3985, -7498, -12017, -17542, -24073?\nAnswer: -31610","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 11\/6, 3 in increasing order.\nAnswer: 11\/6, 3, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 7650 less than 7?\nAnswer: -7643","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c + 105. Let x be w(0). Suppose 3*l - 2*s + 65 = 0, 0 = -7*l + 2*l + 4*s - x. Let o = l - -36. What is the remainder when 53 is divided by o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -108*x**3 - 106040*x**2 - 26021036*x + 3857296 = 0. Calculate x.\nAnswer: -491, 4\/27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 3302055 (base 6) in base 7?\nAnswer: 1251305","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*m = -3797 - 1711. Suppose -4*d = -2*l + m + 412, -4*d = -3*l + 1997. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 571331870 to the nearest integer?\nAnswer: 23903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 282695086 is divided by 78.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -1\/22879350 and -23\/1267164.\nAnswer: 411828300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18110389 is divided by 9742?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -9.7799 - 0.2201. Which is the second smallest value?  (a) 4\/5  (b) g  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = d**3 - 4*d**2 + 1. Let u be (-2)\/4 + (-435)\/10. Let j = u - -7. Let s = -33 - j. Determine a(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -4\/11, 10, -8, 259\/2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3406 (base 11) to base 10.\nAnswer: -4483","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (10\/(-40))\/((-4)\/(-80))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*r - r + 10 = -3*n, 0 = -5*r - 4*n + 12. Solve 5*i + r*w - 14 = 11, 18 = 3*i + 3*w for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9323 is divided by 74.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 44 divide 50883?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 120416531 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 4*k**3 - 2*k - 2. Let i(w) = -10*w**3 - 12*w - 25. What is 5*d(f) - i(f)?\nAnswer: 30*f**3 + 2*f + 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1\/(12\/2)*-10. Let c = 235.5 - 235. Let q(x) = x**3 - 5*x**2 + 1. Let k be q(5). What is the biggest value in k, c, b?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -118*d**2 - 355. Let b(w) = 8*w. Determine z(b(i)).\nAnswer: -7552*i**2 - 355","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"}
{"text":"Question: Simplify ((3 + 5 + (sqrt(448) - (0 + sqrt(448))) + -2*sqrt(448)*4)*2 + 4)**2*1.\nAnswer: -5120*sqrt(7) + 115088","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s = s - 60. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 53.75 + -54. Let z = n + 7.25. Let f = 2.54 + -2.54. Is z > f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 418 and 753863?\nAnswer: 209","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 5659, 11166, 16521, 21724?\nAnswer: 26775","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 2202.92 to the nearest 100.\nAnswer: 2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5017 - -3533. Let p = -1487 - z. Suppose 5*a + 3 = 8. Which is greater: p or a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 19*k - 15 = -16*k, -y = -4*k - 17 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 9 = 3. Suppose 36 + 2 = x*u. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.93 - 0.92. What is the biggest value in d, 0.3, 0.07?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 2 z when three letters picked without replacement from {x: 10, v: 5, z: 3, o: 2}.\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u = -78 + 93. Factor -2\/3 - 4\/3*a**u + 4\/3*a**4 - 1\/3*a**5 - 2\/3*a**2 + 5\/3*a.\nAnswer: -(a - 2)*(a - 1)**3*(a + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -335 = 2*f - 2*m + m, 2*f - 4*m = -332. Let y = 251 + f. Is y a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 5880.\nAnswer: 5880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -20*y - 37. Is z(-10) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -118 = 5*j + 23332*n - 23328*n, 3*n = -2*j - 43 for j.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 184*i**3 + 3*i**2 + 3*i - 3. Let x(y) = 367*y**3 + 5*y**2 + 5*y - 5. What is 5*w(a) - 3*x(a)?\nAnswer: -181*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**3 + v**2 - 2. Suppose -c - c = -10. Suppose -3 = -4*p + c. Determine r(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-4)\/(-18) - 55\/45. Let h = u + 3. Suppose 5*k - 145 = -3*y, y + 51 = h*y - k. Calculate the greatest common divisor of y and 20.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.2  (b) -2\/9  (c) 0.4  (d) 0.153\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1333102303 (base 4) in base 3?\nAnswer: -222111012221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*l + 3*l - 4*l)*(8*l**3 + 12*l**3 + 3*l**3).\nAnswer: 23*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 2110 divide 492324190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-58845*a + 17*a**2 + 59849*a + 0*a**2)*(2*a - 3*a + 2*a).\nAnswer: 17*a**3 + 1004*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence khx when three letters picked without replacement from kxcxxxhn?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2 + 3603992*h + 3247189584016.\nAnswer: (h + 1801996)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 1739 (base 10) to base 8\nAnswer: 3313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Are 1 and -1\/14658 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 3440 rounded to the nearest one hundred?\nAnswer: 3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -1, -4, -3, 15864, -2 in ascending order.\nAnswer: -7, -4, -3, -2, -1, 15864","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = -5*i**3 - 6*i**2 + 4*i + 91. Let h(l) = -4*l**3 - 5*l**2 + 2*l + 91. Let j(z) = -6*h(z) + 5*q(z). Differentiate j(r) with respect to r.\nAnswer: -3*r**2 + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -113*c - 3*m = -109*c + 21, 0 = 3*c - 2*m + 3 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 91338691 is divided by 123.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*t**3\/2 + 8244*t**2 - 11327256*t.\nAnswer: -3*t*(t - 2748)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 h and 1 c when two letters picked without replacement from whccrwhchrjcwhcjrh?\nAnswer: 25\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 206800.29 months in millennia?\nAnswer: 17.2333575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence de when two letters picked without replacement from hehd?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 63*w + 20*w = 775 + 387 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -2043, 1\/3, -5.\nAnswer: -2043, -5, 1\/3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = q + 1. Let r(t) = 8*t + 4. Let i be r(7). Suppose 7*p = 2*p + i. Suppose -4*x + 0 = -p. Give u(x).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) be the second derivative of -q**4\/12 + 4*q**3\/3 + 17*q**2\/2 + 8*q. Let o be v(7). Is 12 a factor of (o*(-5 - -3))\/(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 450282?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 452540 rounded to the nearest one million?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 14351523 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w = 3*w + 20, 3*w = -d - 10. Let k = -2 - -1. Let u = k - -3. What is the highest common divisor of d and u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 362*m - 56 = 360*m. What is the greatest common factor of 98 and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {h: 3, q: 12}. Give prob of picking 1 q and 3 h.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15 + 3*x - 54 - 46 - 51 + 212 - 47.\nAnswer: 3*x + 29","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 584699, 584701, 584703?\n\"Answer: 2*o + 584697","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {p: 5, k: 3}. Give prob of sequence ppkk.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -109?  (a) 3\/10  (b) -1\/6  (c) -0.8  (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1494 is divided by 390?\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 29221 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 129 + 114*k - 104*k + 33*k + 150*k + 92*k wrt k.\nAnswer: 285","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -74, 352, 1294, 2758, 4750, 7276?\nAnswer: 10342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 4 + -6. Let w = -3\/22 - 7\/110. Is v at most as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 5 and -13.68824.\nAnswer: -68.4412","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(2) + 6*-3*sqrt(2) - (3 + sqrt(4)\/sqrt(2)) - (sqrt(100)\/((sqrt(45) - sqrt(5)) + sqrt(5)))\/(2*sqrt(10)*-6).\nAnswer: -647*sqrt(2)\/36 - 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 197808 to the nearest integer?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 904.9482213 rounded to the nearest ten?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 427563 and 142521?\nAnswer: 427563","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1793\/335 + -30\/67. What is the common denominator of -95\/4 and f?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -2*n**2 + 190*n - 2141. Determine w(82).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 12 = 3. Let i = k + -3. Solve -5*l + 19 = -3*q + 2*q, i = 2*l + 2*q + 2 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 264 minutes after 3:47 PM?\nAnswer: 8:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = -f**3 - 8*f**2 - 9*f - 1. Let p = 5 - 12. Is x(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) 0.023  (b) -0.06  (c) -2  (d) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2336544230.76219 and -0.2.\nAnswer: -2336544230.96219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 43 = -333. Let w be (2\/(-14))\/(21\/8547). Let d = w - n. Which is the third smallest value?  (a) d  (b) 1\/2  (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 8.796336 years?\nAnswer: 0.08796336","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x + 1030 = -0*u - 2*u, 3*u - 4*x = -1544. Let p = 756 + u. What are the prime factors of p?\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(500) - (sqrt(500) + (sqrt(500)*2)**2 - sqrt(500)))*5 + (-1*sqrt(5))**2*-1 + (sqrt(5) - sqrt(50)\/(sqrt(40)\/sqrt(4))).\nAnswer: -10005 + 50*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 12*f + 30 = 2*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 5*q + 20 = 0, x + 4*q = -426 + 410 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2190 is divided by ((5\/2)\/(-5))\/(125\/(-1750)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 131662 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i**3*p**3 - 1009*i**2*p**3 + 4*i**2*p + 2*i*p**3 - 85*i*p - 137*p**3 wrt i.\nAnswer: -12*i*p**3 - 2018*p**3 + 8*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -2*(-3 + (-42)\/12)*1. Let k(t) = t**3 - 13*t**2 - t + 13. Let f be k(x). Let l(w) = -w**2 + w - 6. What is l(f)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:29 AM and 9:21 PM?\nAnswer: 592","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.1+-277471910.6635\nAnswer: -277471910.5635","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 109\/30 and 35\/243.\nAnswer: 2430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 20471196547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1120\/13 - -86. What is the nearest to -1 in 3, -10, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2.060191 litres to millilitres.\nAnswer: 2060.191","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 121\/6940 and -97\/52.\nAnswer: 90220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**2 + 15*t + 12. Let x be v(-19). Suppose -3*u - x = -2*k, 3*k + 53 + 55 = -3*u. Let a = u + 32. Which is bigger: a or 1\/10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7385 or 7413?\nAnswer: 7385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in 1\/6, -3, -68, -6\/11, 3\/2?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 + 0 + (-14 - -12) - -7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 249139.\nAnswer: 11, 29, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -29 - -49. Suppose o - 8 = 6*a. Solve 2\/11*t**a - 2\/11*t**3 + 0*t + 0 = 0 for t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -20.7 times -5.9\nAnswer: 122.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = -s**2. Let o(t) be the first derivative of -t**3\/3 - 75*t + 443. What is c(o(m))?\nAnswer: -m**4 - 150*m**2 - 5625","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 34\/9 - 145\/36. Which is the third biggest value?  (a) d  (b) -4  (c) -1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 86 divided by 43?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 2929 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -2*j**3 - 23*j**2 - 15*j - 39. Calculate p(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kpdd when four letters picked without replacement from {d: 1, p: 1, k: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*v, -2*z = -5*z + 4*v + 21. Let w(l) = l**2 - 202*l - 2*l**2 - 6 + 211*l. Give w(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 12503.022 - 12493. Round g to 1 decimal place.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(4 + ((5*(2 + sqrt(1008) - sqrt(1008)) - (sqrt(1008) + 3 + -3)) + -3)*-3)**2.\nAnswer: -28083 + 3672*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 54 and 14.\nAnswer: 378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -554, -1111, -1678, -2261, -2866, -3499, -4166?\nAnswer: -4873","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 8\/5 and 173\/72870.\nAnswer: 72870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -78 + 700\/9. Suppose -275*l + 128*l + 124*l = 115. Put 26, p, l in descending order.\nAnswer: 26, p, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1743, -3526, -5309?\n\"Answer: -1783*i + 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 249\/(-1953) + 116\/(-84)*5 + 7.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 2 - 6 - 2*j + 2. Calculate w(-5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-20))\/(21\/30*(-318)\/(-3339)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 138 - 2 - (-15 + (19 + -40 - -63) + -25).\nAnswer: 134","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 4  (b) -2  (c) -4  (d) -3\/2  (e) -42.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:10 AM and 1:04 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5455 is divided by 188.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 4 + 44?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of ((-9380)\/(-5))\/((-12)\/(-24))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2*(-1)\/2*1. Is (f + (-2)\/(-1))*59 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.827642 plus -27?\nAnswer: -22.172358","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*l - 112 = -77. Solve -9*g - 12 = -3*r - 12*g, -l*r + 3*g + 28 = 0 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = y + 3. Let i be (-3 - (-3 + 0))\/(-3). Let f be l(i). Suppose -f*u = u - s - 33, 4*s - 28 = -4*u. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1a (base 16) in base 3?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82*y + 84*y = 3*d - 14, 58 = 14*d - 2*y. Solve -d*i + 3*p + 8 = 23, p - 5 = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -636, -5, -6, 0, 4 in increasing order.\nAnswer: -636, -6, -5, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 312909, -4, 0.2 in descending order.\nAnswer: 312909, 0.2, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by (94\/4)\/(-3 + (-35)\/(-10))?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1411999789 to the nearest integer?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 758*v**3 + 1522*v**2 - 12*v - 48. Calculate h(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -1, -45, 0.07, -6\/11, 389?\nAnswer: 389","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 to the power of 1\/2, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*c = -3 - 97 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -54, -120, -228, -378, -570, -804, -1080?\n\"Answer: -21*k**2 - 3*k - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-134*r**2 - 62*r**2 + 17*r**2)*(4 - 5 + 7 + 9).\nAnswer: -2685*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -382 = 61*b + 4*r, b + 0 + 4 = r + 1 + 1 for b.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 93237060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:09 PM and 4:21 AM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 57*a**3*f*g + 46578*a**3 + a*f*g + 69*a*f + 2*g wrt f.\nAnswer: 57*a**3*g + a*g + 69*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 748 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5605?\nAnswer: 5, 19, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 37 = -4*g - 5*i, i - 1 = g. Suppose -g*u + 2*u + 2 = 0. Let l = 1036\/253 + -46\/11. Is l at least as big as u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 + 4*u - 12. Let m(h) = -h**2 + 2*h + 12. Let i be m(5). Let x be y(i). Is x\/((-375)\/2030) - 2\/10 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 244 a factor of 134004800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Are -0.3 and 17\/6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 p, and 1 i when three letters picked without replacement from yfyyyypiiyp?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 301, 263, 209, 139, 53?\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 minutes after 8:56 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 84 and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -12*((-2)\/2 - 2\/(-4)). Let z(w) = -w**3 + 7*w**2 - 7*w + 8. Let y be z(d). What are the prime factors of 119 + y\/((-3)\/3)?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.5  (b) 4  (c) 0.1  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c**3 - 3*c**2 + 2*c - 2. Give b(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in -129.2, -25, 0.8?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a century in months?\nAnswer: 8160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21974658 and 138?\nAnswer: 505417134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 265 minutes before 1:24 AM?\nAnswer: 8:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:32 AM and 2:05 PM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 105\/15 + -2 + 0. Suppose 0 = 4*m - l - 15, r = -m + 5*l - 15. Suppose -15*x + 230 = -m*x. Calculate the highest common factor of x and 161.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 157782, 160182, 162582?\nAnswer: 164982","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ggmg when four letters picked without replacement from mmiggmgmmimgmi?\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2268)*2 - sqrt(2268) - sqrt(280)\/(sqrt(70)\/sqrt(7)))\/(5*sqrt(484)*1 + (sqrt(484) - (2*sqrt(484)*2 - sqrt(484)))).\nAnswer: 8*sqrt(7)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (0*c + 3*c - 2*c)*(4*c - 3*c - 3*c) - 1 - 8*c**2 + 1 - 7457*c**2 + 7494*c**2 + 1 + 1 to g*c + i + p*c**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange -231*u + 481*u - 250*u - 18013*u**2 to g*u + v + k*u**2 and give k.\nAnswer: -18013","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.151 + 0.551. Let x = -4.97 + -0.03. What is the fourth smallest value in m, 1\/4, 0.1, x?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = 2*l**3 - 14*l**2 - 22108*l + 88571. What is a(4)?\nAnswer: 43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -70*g = 4*x - 69*g + 21, 2*x - g + 15 = 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, 5, 101 in decreasing order.\nAnswer: 101, 18, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 2158 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 16*g*o**2 - 324*g*o + g*t + o**2*t + 15*o**2 - o*t + t wrt o.\nAnswer: 32*g + 2*t + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 111\/21 - (26 - 21).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) be the first derivative of -v**4\/4 + 5*v**3\/3 - v**2 - 2*v - 9. Determine x(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:16 AM and 8:32 PM?\nAnswer: 616","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w - 20 = -4*y + 1, 4*y = -4*w + 12. Suppose y = -6*k - 12. Let h(j) = -2*j + 3. Let m(d) = 2*d - 4. Give k*m(i) - 4*h(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -98*r + 90*r = 8. Let g(t) = t**2 + t - 1. Let w(m) = 10*m**2 + m. Give r*g(l) + w(l).\nAnswer: 9*l**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -62, -148, -302, -524, -814, -1172?\n\"Answer: -34*h**2 + 16*h - 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d**(13\/4)*d**(-4)\/d*(d\/(d*d**1))\/(d*d*d*d\/d**(-8)) assuming d is positive.\nAnswer: d**(-59\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.17 + 0.1. Let m = -0.071 - b. Round m to 2 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 5.9 and 1896?\nAnswer: 1890.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = -l**3 + 14*l**2 - 4*l + 28. Suppose -3*a + 66 = -27. Suppose v - 11 = -g, 3*v + v - a = -3*g. Is r(g) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-1\/2)*j)\/j**(2\/13)*(j*j**(1\/6)*j)**2 assuming j is positive.\nAnswer: j**(365\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -10*f*u**6 + 10*f*u**4 - f*u**3 - 2*f + 1376*u**2 - 1 wrt u.\nAnswer: -1200*f*u**3 + 240*f*u - 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -12721174 and -12721174 have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(f) = 22*f**2 - f. Let w be u(-1). Let q = 32 - w. Suppose 5*h - 2*h - 51 = 0. Calculate the remainder when h is divided by q.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.819433 meters in micrometers?\nAnswer: 7819433","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 5784250007?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 4805.093 weeks?\nAnswer: 807255.624","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 169\/882 and -95\/154.\nAnswer: 9702","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2, 10, 42, 106, 214?\nAnswer: 378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*d - 1673 = -16*d. Calculate the remainder when d is divided by 81.\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*l - 26*l**3 - 28*l + 5*l**3.\nAnswer: -21*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -7*g - 6. Calculate the remainder when 24\/((-265)\/70 - g) is divided by 19.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*t**4 - 4135*t**3 + 86865*t**2 - 398385*t - 75330 = 0. Calculate t.\nAnswer: -93, -2\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1692.\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) be the second derivative of -u**4\/12 + u**3 + 9*u**2\/2 - u. Let i be a(7). What is the tens digit of 12*2\/i - -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 160 + -32. Suppose j = 7*x + x. Suppose -260 = -4*c - 4*w, 0*c + 3*w = c - 53. What is the remainder when c is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 359465 is divided by 362.\nAnswer: 361","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = w**3 + 2*w**2 - 1. Let h be p(-1). Suppose 4*i + h = j - 2, 2*i + 3*j + 8 = 0. Which is the smallest value?  (a) 0.2  (b) i  (c) -4\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 6545 + -6550. What is the closest to 0.1 in y, 110\/13, -4\/3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2878 (base 9) to base 7.\nAnswer: -6230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -40, -153, -2, 3 in decreasing order.\nAnswer: 3, -2, -40, -153","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 2\/75, 5, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1217, -1219, -1223, -1229, -1237, -1247, -1259?\nAnswer: -1273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 45966716?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00194463 to 5 dps.\nAnswer: -0.00194","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 4090927 to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 6*g**2 + 6*g + 16. What are the prime factors of v(-5)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) be the first derivative of -3*g**7\/28 - g**6\/20 + g**5\/5 + g**4\/6 + 6*g - 3. Let l(s) be the first derivative of p(s). Factor l(u).\nAnswer: -u**2*(u - 1)*(3*u + 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 7 + 2\/(-2) + (431 - (-6 - -8)) and 216?\nAnswer: 31320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4132 - 4130. What is the biggest value in -1.97, r, 1\/5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:37 AM and 9:32 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -55.2 + 9. Let o = z - -45.7. Put -0.1, o, -47 in increasing order.\nAnswer: -47, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -0.5, 5 in increasing order.\nAnswer: -2, -0.5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) be the first derivative of 23*x**2\/2 - 2. What is the units digit of y(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 44699.15 rounded to the nearest 100?\nAnswer: 44700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -213 (base 8) in base 14?\nAnswer: -9d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(176) - (sqrt(11) - sqrt(44)*5)) + 3)**2.\nAnswer: 102*sqrt(11) + 3188","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 5, -0.1, -17, 0.2, 4, -2\/239?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 10 - -15. Suppose -u + j + 12 = -5*m, m = 5*u - 281. What is the highest common divisor of 38 and u?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = -m + 2. Let y = 33 + -10. Let c = 25 - y. Suppose -3*n - 2*v + 9 = v, -c*v - 2 = 0. Give o(n).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2  (b) -1732  (c) 23.1  (d) -1  (e) 0.1  (f) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round 93173000 to the nearest 1000000.\nAnswer: 93000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -48 - 2869?\nAnswer: -2917","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*y + 38 = -2*o, -41*o - 44*o + 43 = -6*y - 86*o for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2069806608 rounded to two decimal places?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/2*(-17)\/((-2907)\/(-76)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 23739177.412 rounded to the nearest 10000?\nAnswer: 23740000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000336002 rounded to 7 dps?\nAnswer: -0.0000336","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 9*i - 1. Let r be k(4). Suppose 0 = -13*o + 6*o + r. Suppose o*g - 418 = -88. What are the prime factors of g?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1312 < 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -6*t + 2. Let u be h(-6). Suppose u = 5*f - 42. Suppose -3*w - w = -f. Solve g + g + w = 0 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-9*p**2 - 6*p + 6*p)*(58 + 77 - 11) + (-3 + 3 - p)*(-17 + 17 + 7*p) as s*p**2 + a + l*p and give s.\nAnswer: -1123","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 195789 and 33.\nAnswer: 195789","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(n) be the first derivative of -3*n**3 + 38. Let o(f) be the third derivative of -1\/12*f**4 + 0*f + 0 + 0*f**3 - 3*f**2. Determine o(r(j)).\nAnswer: 18*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*r = -61*r + 3*n + 2, 3*r + 3*n = 0 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 63 a factor of 74700?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -20*r + 21*r + 5*z + 46, 10 = 5*r + z for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f**2 + 6*f - 5. Let m be c(4). Suppose p + 4*s = -8, m*s + 5 = -2*s. Put 0, p, -3 in descending order.\nAnswer: 0, -3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 111 + -111. Suppose p = -0*n + n - 3. Determine l, given that 45*l**4 - 8*l**3 + 8*l**2 - 44*l**4 - 4*l + 3*l**n = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 395 - 380 - ((4 - 5) + 28) - -120.\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -994 = -4*y - 90. Suppose -4*o + 4*m - m = -434, 0 = 2*o + 3*m - y. Suppose 4*g = o - 10. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 846, 0.0522, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k = 3*t - 36, 142*k = 147*k - t - 28 for k.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 52658, 53445, 54766, 56627, 59034?\nAnswer: 61993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 176108\/33 + -16015\/3. Calculate the common denominator of v and 67\/292.\nAnswer: 3212","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 2*t**3 - 16*t**2 - 1. Let g(l) = -2*l**3 + 16*l**2. Give -3*g(u) - 4*y(u).\nAnswer: -2*u**3 + 16*u**2 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -285*q - 152. Is l(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1\/3)\/(79\/18012). Suppose a = 3*u + 133. Which is smaller: u or -121\/6?\nAnswer: -121\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 220*k**3 - 6*k**2 - 56*k - 5. Let o(s) = 221*s**3 - 5*s**2 - 45*s - 4. Calculate -5*o(b) + 4*y(b).\nAnswer: -225*b**3 + b**2 + b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*i**4 - 4*i**4 + 4*i**4 + (i**3 + 2 - 2)*(-2*i + 2*i - i) + 3*i**3 + 2*i**4 - 3*i**3.\nAnswer: -i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.046423 rounded to three decimal places?\nAnswer: -0.046","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 485, 1570, 3401, 5984, 9325, 13430, 18305?\n\"Answer: j**3 + 367*j**2 - 23*j + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 6*t**2 + 7*t**2 + t**2 - t**3 - 5*t**2 - 6 - 6*t. Calculate the remainder when n(8) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 + 22. Suppose 20 = -o*c, -2*f - 2*c - 239 = -5*f. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1980990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 10*g**3 + 1759*g**2 - 179*g - 520. Determine o(-176).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -346472*c**3 + 2 + 692915*c**3 - 346466*c**3 - 2.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/3 in -1\/5, 13, 5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 248, 9, 41, -10 in increasing order.\nAnswer: -10, 9, 41, 248","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2 + 10. Suppose -3*r + 1 = -y. Let z = r - 1. What is the units digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*y**2 + 2*y**3 - 2*y**2)*(20 + 29 - 58) - y**3 + 2*y**3 + 9*y**3 to the form u + s*y + m*y**2 + r*y**3 and give r.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 2*q**2 - 14*q + 13*q + 0*q**2 + q.\nAnswer: -2*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x, -x - 39 = -4*g + 25. Let n be (-8 + 1)*162\/(-9). Let d = n - -2. Calculate the greatest common factor of d and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + 35755 = 4*h, 4*z = -h + 4*h - 26835. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (0 - 3\/(-4))*84. Calculate the greatest common factor of i and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 22 times -437?\nAnswer: -9614","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1366 + -6?\nAnswer: -136c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 17805349\/160 + -111283. Find the common denominator of l and -71\/20.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -491 = 65*a - 1122 - 409 for a.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-1)*l*l)\/l)**(-38)\/(l\/l**(1\/2))**7*((l\/(l*l**(2\/11)))\/l**(1\/9))**49 assuming l is positive.\nAnswer: l**(-3535\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -120072010 rounded to the nearest ten thousand?\nAnswer: -120070000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/2*((-432)\/99)\/(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 26050 and 105242.\nAnswer: 1042","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q**2 + 54*q - 383. Let d be r(8). Let w(x) = -9*x - 112. Determine w(d).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 38958377?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -2 - -3 - 88\/9. Let r = g + 9. Factor 4\/9 + r*x**2 - 2\/3*x.\nAnswer: 2*(x - 2)*(x - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the first derivative of -5*j**4\/4 - 95*j**3 - 555*j**2\/2 + 116365*j - 2056. Suppose s(v) = 0. What is v?\nAnswer: -37, 17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -1387*s - 2763. Calculate k(-2).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 59922.\nAnswer: 2, 3, 3329","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the first derivative of -7*g**4\/2 - 3*g**2\/2 - 3*g - 5640. Let v(d) = -d**3 - d - 1. What is 2*j(p) - 6*v(p)?\nAnswer: -22*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -74*u = 200*u - 274 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = 4*b**2. Let c(w) be the third derivative of w**5\/10 - 16*w**2. Determine a(c(u)).\nAnswer: 144*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, 196, -859 in ascending order.\nAnswer: -859, 9, 196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 54 = -3*b + 3*t, -b + 20*t - 25 = 18*t. Let c(q) = q**3 + 14*q**2 + 36*q + 25. What is c(b)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*b - 12*x + 87672, -2*b + 5*x + 52398 = 8551. What is the ten thousands digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = 2*s - 0*s + c, s + c = 7. Solve -s*d - w + 24 = -6*w, 0 = -5*w - 20 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 2.5 and 2644.7?\nAnswer: 2642.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -1 - 1*-4 - 0. Let q = -11 - -10.6. Which is the nearest to -1\/2?  (a) q  (b) g  (c) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*u + 440 - 390 = 0 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = -38*c - 242. Give v(-5).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 808 + 1497 - 5*u - 3*u - 133.\nAnswer: -8*u + 2172","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b - 29?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*h + 11*h + 8 = 0. Suppose h*g + 5*y = -23, -2*g - 2*y - 8 = 6. What are the prime factors of ((-30)\/g)\/((-3)\/(-18))?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 156200 and 1540?\nAnswer: 1093400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 70 + -94. Let h be n\/(-8) + -3 + 0. Let l = -0.01 - 2.99. Which is the nearest to -1?  (a) 0.3  (b) l  (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/304 and 299\/(-78)*(30\/(-532))\/(-5).\nAnswer: 2128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6, -53, -112, -159, -170, -121?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide 20 by -1317513.\nAnswer: -20\/1317513","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -57*l. Let b be s(-1). What are the prime factors of (-8)\/44 + b\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -29, -56, -131, -278, -521, -884, -1391, -2066?\nAnswer: -2933","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7070 by -16.\nAnswer: 3535\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/136 and (-6)\/(-48) - 69\/(-40).\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 - -6) + (33 - (-12 - (-10 + -5)))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3.6 times 26058\nAnswer: 93808.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, 1.12779, -760 in ascending order.\nAnswer: -760, 1.12779, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -0.85 + 0.9. Which is the second smallest value?  (a) 1  (b) 0.2  (c) l  (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*k - 4*k + 4*k)*(-198 + 198 + 6*k**3).\nAnswer: 36*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(425)*2 + -2*-1*sqrt(17).\nAnswer: 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 3144283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:31 AM and 11:00 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 212*k**2. Let z(v) = 5*v**2 - 50*v. Calculate z(g(f)).\nAnswer: 224720*f**4 - 10600*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(l) = 4*l**3 - 2*l**2 - l + 5. Let f be (-1)\/(-3) - (-44)\/12 - 2. Let d be y(f). List the prime factors of (-3 + 0)*(-531)\/d.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 72*o + 71*o = 24024. What is the greatest common divisor of 5376 and o?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c - 7*c + 1784 = 0. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4467 is divided by 30.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -18729, 4, 1\/9, 2\/7?\nAnswer: -18729","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x - 4 = -4*p - 3*x, -x + 3 = 3*p. Suppose 0 = 5*h + 3*o - 41, 3*h + 4*o - p = 4*h. Let s = -156 - -158. Solve -b = -h + s for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-2)\/110 + 1 - 26\/143. Let w(f) = f + 1. Let u be w(0). Is u at least c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (-41 - -18) - 24?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Simplify s*s\/(s**(-17)\/s)*(s*s**(4\/19))\/s*s*(s*s**10)\/(s**(6\/11)\/s) assuming s is positive.\nAnswer: s**(6827\/209)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = 48*h**2 - 2*h. Let z(i) be the third derivative of i**5\/30 - 1540*i**2. What is s(z(r))?\nAnswer: 192*r**4 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 33 = -3. Suppose f = 2*d - 94. What is the tens digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + -2 - 885\/(-285)?\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*j - 112 + 43 = 0. Suppose -2*s + 173 = -j. Calculate the greatest common factor of 8 and s.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1002 + 21595. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6902079 is divided by 160?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = m**2 + 5*m + 4. Let s be k(-5). Suppose -s*n + 12 = -12. Suppose 2*i - 110 = -n*u + 3*u, -i - 40 = -u. Is u a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1*2)\/(102*1886\/9384).\nAnswer: 4\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of 4*z**2 + 17*z + 14. Let p(u) = -u. Let m(c) = j(c) + 6*p(c). Let i be m(-7). Solve -3*o = -0*o - i for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 3, j: 3, s: 4, b: 1, z: 2, x: 6}. What is prob of picking 2 x and 1 b?\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -292, -297, -304, -313, -324?\n\"Answer: -a**2 - 2*a - 289","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 2, d: 1, g: 1, h: 2, p: 1, w: 1}. Give prob of picking 1 d and 1 m.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*y + 2*y - 3*y)*(3*y - y - y)*(-218*y + 534*y + 283*y).\nAnswer: 599*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from {n: 2, k: 6, z: 5}?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 9568088 and 81344.\nAnswer: 76544704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*c**3 - c**5 + 3*c**4 - 6*c**2 - 4*c**3 + 3*c**3 - c + 3.\nAnswer: -(c - 3)*(c - 1)**2*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/(-6)*42\/3402*(243\/(-225))\/(-3)?\nAnswer: 2\/135","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/5 - (-42)\/(-20) - -3. Let i be (2\/6)\/((-4)\/(-18)). Which is the closest to q?  (a) i  (b) -1  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is h in -5*h**2 - 503275*h - 161536130 = 0?\nAnswer: -100333, -322","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -82*s - 5*o = -78*s + 15 - 35, 0 = -4*s - 3*o + 4 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*i = 5*v - 21, 458*v + 2*i - 14 = 452*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/17*r**2 + 0 + 4\/17*r.\nAnswer: 2*r*(r + 2)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -c + y - 1, 4*y - 4 = 2*c. Let a(l) = l**2 + 14*l - 2. Let z be a(-14). Let o = z + 7. Solve d + o*k + 20 = c, 11 = -d - 3*k + 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (21*52\/(-195))\/(((-9)\/3)\/15).\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -108446, -108364, -108282?\n\"Answer: 82*l - 108528","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = 3*j - 30. Suppose 5*w = w - j. Let k = -3 - w. What is the greatest common factor of k and 8?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 117 a factor of 224988309?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1714 = 10*a - 36456. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(1872) - 3*(sqrt(1872) + -1 + sqrt(1872)))*5)**2*4*4*-3.\nAnswer: -56169408 + 403200*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1754 + 178?\nAnswer: 2043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 141977, 284519, 427059, 569597, 712133, 854667, 997199?\nAnswer: 1139729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 77, 52, 7, -70, -191, -368?\n\"Answer: -2*u**3 + 2*u**2 - 17*u + 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = -3*l - 23, 3*l - 2*l - 2*a - 7 = 0. Let n be l\/(-3*9\/270). Calculate the greatest common factor of n and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -7*r**3 + 20*r**2 - 3. Let z(t) = 4*t**3 - 11*t**2 + 2. Let c(x) = -3*p(x) - 5*z(x). Give c(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1988 divided by -7\nAnswer: -284","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -113\/4026 and -3\/42944.\nAnswer: 128832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 33*q**2. Let n(t) = -5*t**2. Give n(h(l)).\nAnswer: -5445*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -31881, -30629, -28655, -25965, -22565?\nAnswer: -18461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -86\/3 - -29. Let o be (-1)\/(-22)*(-7 + 16 + -13). Which is the closest to 0.1?  (a) o  (b) j  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -50040.030417 + 50034.14. Let k = 5.89 + a. Round k to five dps.\nAnswer: -0.00042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 402 divided by -6.\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 41818 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 1896253 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: Let d = -9448874.4290251 - -9448874. Let a = -0.429 - d. Round a to six decimal places.\nAnswer: 0.000025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 108444.\nAnswer: 2, 3, 7, 1291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -74 (base 14) to base 5.\nAnswer: -402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -3*i + 5*c + 12, 5*i = 2*c + 80. What is the remainder when 46 is divided by i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 43 + 0. Suppose -4*d + 2*d + 3*m = -i, d - 2*m = 20. Solve -h = -5*k + 3*h - d, 3*k = 5*h - 26 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 172018 and 3374217?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(108) + 0)*6 + 5 + 3 - -4*(5*(-2 + sqrt(108))*-4)**2.\nAnswer: -38364*sqrt(3) + 179208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -10 - -7. Let i(y) = 2*y - 1. Let w(u) = 3*u + 7. Let z(g) = -i(g) + w(g). What is the units digit of z(m)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0118559124 rounded to 4 decimal places?\nAnswer: 0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*m**2 - 2*m**2 + m**2)*(2*m + 11*m**2 - 17*m**2 - 3*m) in the form p*m**2 + n*m**3 + q*m + l + c*m**4 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 204 and 476?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5351 + 17438. Is (3 - -1)*y\/36 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -2\/5*t**3 + 0 + 0*t + 0*t**2 + 0*t**4 + 2\/5*t**5 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1425 to the power of 1\/2, to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2)*(-332 - 14558*w + 332 - 21224*w).\nAnswer: -71564*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3465?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.04, 9, 4\/533?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -14250, -145, 14, -4 in ascending order.\nAnswer: -14250, -145, -4, -3, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 PM and 8:53 PM?\nAnswer: 71","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/7?  (a) -3\/16  (b) -139  (c) -0.04  (d) 0  (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -94*t**3 - 32*t**2 - 9*t**5 - t**5 - 3*t - 13*t**5 + 80*t**3 - 2*t wrt t?\nAnswer: -1380*t**2 - 84","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*r + 379 = 4*b, -340 = -5*b + r + 142. Find the common denominator of 41\/22 and ((-4)\/(-32))\/((-1)\/b).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (6 + 85\/(-10))*(3 + -1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in 0.112, -206, -0.5, 0.1, 0.3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 108, -40, -184, -324, -460?\nAnswer: -592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 22 and 6231775?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 329?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) be the third derivative of -o**7\/420 + 11*o**6\/240 + 17*o**5\/120 - 21*o**4\/16 + 3*o**3 + 2*o**2 + 14*o. Solve m(b) = 0.\nAnswer: -3, 1, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -9.95 rounded to the nearest integer?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 2\/(-3)*45\/6. Let z = 13 - 7. Which is the second biggest value?  (a) 0.5  (b) z  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -250875, -2007233, -6774487, -16058085, -31363475?\nAnswer: -54196105","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 7.2 - 12.2. Which is the nearest to 2?  (a) -0.2  (b) 3  (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 291 + d + 0*d - 165 - 126.\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 8*w**3 + 5)*(2*w + 0 + 0 + (0 + 3 - 5)*(0*w - w + 3*w)).\nAnswer: 16*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 343 (base 5) to base 8\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -87*b**3 - 1835*b**4 - 90*b**3 - 6378 - 32*b + 6389 + 177*b**3 wrt b.\nAnswer: -22020*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 662 - 662 - q**2.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -77433228*b + 113544686 with respect to b.\nAnswer: -77433228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 5833*l - 42. Is c(55) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 11 + -5 + (-6 - (35 - -3)) + -7\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the second derivative of 0 + 0*l**2 + 0*l**3 - 30*l + 1\/6*l**4. Let g(h) = -9*h**2. What is g(d(v))?\nAnswer: -36*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) be the third derivative of -c**5\/60 + c**4\/3 + 7*c**3\/6 + 253*c**2 - c + 3. Determine w(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -1171, -1580, -1987, -2392, -2795?\n\"Answer: i**2 - 412*i - 760","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 122, 493, 1110, 1973, 3082, 4437?\nAnswer: 6038","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -87*j - 117 + 117 + (8 + 13 - 12)*(-j + 2*j + 0*j) to the form w + a*j and give a.\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 10\/23, 20, -0.05982, 2\/19?\nAnswer: 10\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 6359, 25449, 57267, 101813, 159087, 229089, 311819?\n\"Answer: 6364*o**2 - 2*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 3 - 3*y)*(-3*y + 4*y - 2*y) + (5 + 0 - 4)*(-3*y + 3*y**2 + 3*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -8*a**3 + a**2 + 2. Let h be u(-3). Suppose -4*v + 5*f + 209 = 0, 4*v + 26 = -3*f + h. Is 16 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9*j**4 + 780*j**3 + 269*j**2 - 692*j - 348.\nAnswer: -(j - 87)*(j - 1)*(3*j + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 583 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 19*a**2\/10 - 345*a\/2 + 135.\nAnswer: (a - 90)*(19*a - 15)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z - 147 = -42. Find the common denominator of (-295)\/z + (-2)\/1 and 1\/(-2) + 5\/(-8).\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19173.35 less than 0.0703483?\nAnswer: -19173.2796517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1274155 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(240)\/sqrt(20)*2 + 1.\nAnswer: 1 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k + 1807 = -4*k - 2*b, 0 = -k + 5*b - 383. Let w = -242 - k. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -288671*a**3*w**2 + 202*a**3 + 377*a*w**2 - 677115*a wrt a?\nAnswer: -1732026*a*w**2 + 1212*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -10.228 - 0.772. Let g = -1.2 - -0.2. Sort t, g, 4 in descending order.\nAnswer: 4, g, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 197*r + 84 = 198*r. Calculate the lowest common multiple of r and 8.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 - -3. Let v = -411.6 - -28.8. Let k = v + 383. Which is the biggest value?  (a) k  (b) -1\/7  (c) -2  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 10362 + -10361.751. Sort 1\/3, 0.4, l in ascending order.\nAnswer: l, 1\/3, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -13\/1424596 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1282 + 40 = -6*c. Calculate the highest common divisor of 23 and c.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (4 - -1) + (0 - 5)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 157*j = 53*j - 0 - 0 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oeoe when four letters picked without replacement from oeeooooo.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 54889?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 14572 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 977 - 92841*n**2 + 92823*n**2 - 1957 + 980.\nAnswer: -18*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*i - 54082 + 6440 = 0. Does 82 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9*o**3 + 36 - 36 + (-2 + 5 + 8)*(o**3 + 7 - 4*o**3 - 10) in the form t + h*o**3 + b*o**2 + z*o and give t.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from {m: 5, t: 8}.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.611153*72.\nAnswer: 116.003016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -0.16 times 15\nAnswer: -2.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9184?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(5\/2))\/v**(-20))\/(v**(-19)*v*v\/v**(-24)*v*v) assuming v is positive.\nAnswer: v**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j = 5*w + 3*j - 28, 0 = 5*w + 4*j - 38. Sort -5, -4, 1, w in ascending order.\nAnswer: -5, -4, 1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (9 - 3)\/12*44. Suppose 25*i + f + 53 = 0. Which is the closest to -2\/3?  (a) i  (b) 10  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-12)\/27*(-171)\/19.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3984741?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -2 - (-2 - (-8)\/(-2)). Suppose -v*i - i = 0. Suppose 10*l - 7*l = -4*f + 5, 0 = 4*l - 2*f - 14. Put -7, l, -1, i in decreasing order.\nAnswer: l, i, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -2*q**3 + q**2 + q. Let a(k) = -7*k**3 + 3*k**2 + 5*k. What is a(y) - 3*t(y)?\nAnswer: -y**3 + 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand -9707*x**5 + 17909*x**5 - 8939*x**5 + (-2*x + 3*x - 3*x)*(0*x**4 + 0*x**4 - 3*x**4).\nAnswer: -731*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.031 - -3712.969. Let l = -3675.58 + s. What is l rounded to the nearest integer?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (3 - 450\/4)\/((-3)\/16). Suppose 5*q - m = -3*d + 4*d, 3*q - 344 = -d. List the prime factors of q.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89029 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 121857618?\nAnswer: 2, 3, 113, 191, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1 - 1. Suppose 2*w - 3*j = 20, -5*j = 9*w - 4*w. Factor -1\/6*q**3 - 2\/3*q**w - 1\/2*q**5 + r + 0*q**2 + 0*q.\nAnswer: -q**3*(q + 1)*(3*q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/1360 and -23\/80.\nAnswer: 1360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -1\/8, 0.5, -96?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -155*x**6 - 3*x**3 + 2034*x**2?\nAnswer: -18600*x**3 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z**5 - 102*z**4 + 1320*z**3 + 5600*z**2 - 144000*z = 0. What is z?\nAnswer: -9, 0, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 940?\nAnswer: 2, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (((-1320)\/(-18))\/(-5))\/(((-4305)\/(-1107))\/(15\/(-18))).\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = -4*d - 5*h + 7, -4*d + 2*h - 10 = 0 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 42340188 is divided by 897?\nAnswer: 891","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 575 and 75?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 119\/1170924 and 101\/2341848.\nAnswer: 2341848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 17478, 35593, 53708, 71823, 89938?\n\"Answer: 18115*a - 637","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3 = 6*i + 21 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(209) + 2*sqrt(209)*-6 + sqrt(209))*5)\/((sqrt(132)*-1*-4)\/sqrt(12)).\nAnswer: -25*sqrt(19)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 18779167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.04  (b) 0.3  (c) -0.3  (d) -3  (e) 8  (f) 0.00721\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -19*y**3 - 233*y - 16*y**2 - 1 + 26*y**3 + 233*y - 2*y**4 to the form k*y + l + g*y**2 + r*y**3 + u*y**4 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -39, -164, -327, -546, -839?\n\"Answer: -3*z**3 - z**2 - 101*z + 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (6 - 1404\/(-16))*3\/(-432) and -103\/36.\nAnswer: 576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = i**3 + 127*i**2 - 5088*i - 19. Calculate v(32).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 95d5 + -5d?\nAnswer: 9577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z = -98 - 62. Does 15 divide (3\/6)\/(2\/z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:47 AM and 7:10 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13522 is divided by 300.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -198008100 rounded to the nearest one hundred thousand?\nAnswer: -198000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 28 = 5*q - 3*q. Let m be (1*40\/q)\/2. Is 0 smaller than m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14886691301 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 117 divided by -9\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 335550037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**2. Suppose 2*t = -4*b - 6 + 18, 0 = -4*t - 4*b + 16. Let c(l) = 0*l**2 - l**2 - 6*l**2 + 0*l**t. Give c(r(d)).\nAnswer: -7*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -19 + 13. Let x = d + 23. Let c = -12 + x. What is the third biggest value in -5, 3, c?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/7 + 238\/196*2. Let x(f) be the second derivative of -f**5\/20 + f**3 - 5*f**2 + f. Let o be x(m). Which is greater: o or -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4436*t - 3 + 4512*t - 8821*t.\nAnswer: 127*t - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -13366, -13360, -13350, -13336, -13318, -13296?\n\"Answer: 2*q**2 - 13368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1143*d - 1304*d - 783 - 344 = 0 for d.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 + 10*a + 4. Let m be 15\/(-6)*(7 - 3). Let w be i(m). Suppose 4*p - 12 = w, p - 1 = z. Solve 0 = z*t - 4*d - 10, 18 = -4*t - d + 6 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22658128?\nAnswer: 2, 23, 2677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.29972103 rounded to 2 decimal places?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p + 11 = -7. Suppose -13*y + 8 = -p*y. Calculate the remainder when 4 is divided by y.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 109485941 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 16073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1 and 140347.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35859, 7, -9.\nAnswer: -35859, -9, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4053 - -45722?\nAnswer: 49775","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**3 + 4*i. Determine f(4).\nAnswer: -112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -79\/5 - -47\/3. Let k be (64 + -55)*(-2)\/24. Let g = 1069\/3 + -351. Which is the third biggest value?  (a) g  (b) d  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(133)\/(-3*sqrt(7)*6) - ((sqrt(475) + 1 - sqrt(475)) + 0).\nAnswer: -1 - sqrt(19)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53198?\nAnswer: 2, 67, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 131*(0 - (0 - -2)). Let l = -127 - s. Let d = l - 68. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 76\/9 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 633495, 633492, 633489, 633486, 633483, 633480?\n\"Answer: -3*o + 633498","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 59.8 - 60. What is the closest to 0.2 in c, 0.06, 1?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 37\/5 of a microgram?\nAnswer: 7400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 1747, 1483, 1135, 661, 19, -833, -1937?\n\"Answer: -7*r**3 - 215*r + 1969","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the second derivative of 13\/4*g**4 + 2*g + 0*g**3 - 57 + 1\/20*g**5 + 43\/2*g**2. What is the derivative of n(x) wrt x?\nAnswer: 3*x**2 + 78*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = -j - p + 2, -3*p + 9 = 5*j. Let r(f) = f**3 - f**2 - f - 2. Let x be r(2). Let h = -1 - x. Which is smaller: h or j?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find m, given that -6*m**3 - 6782*m**2 - 9034*m - 2258 = 0.\nAnswer: -1129, -1, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -5, -2013\/2, 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5 - -5) + (0 - -4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9714 + -9165. What is the remainder when a is divided by 174?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 325297 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.37452203 from -0.2.\nAnswer: 0.17452203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -2\/13, 4117.3, -0.2?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 86516\/21 + -4121. Calculate the common denominator of i and -38\/27.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 545\/218*64\/10\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 205 and 287.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00001027153138 to 7 dps.\nAnswer: 0.0000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 60057461451\/50 + -1201099343. Let q = 49884 - u. Find the common denominator of -77\/40 and q.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 54946 divided by -6\nAnswer: -27473\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 12  (b) -2\/19  (c) 11\/5  (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 221, 207, 183, 143, 81?\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = -s**2 + 9*s - 1. Calculate g(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(5*(-4 + (-6*sqrt(68)*1*1 - 5*(0 + sqrt(68) + 1))))**2.\nAnswer: 59400*sqrt(17) + 1246350","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 598799731.7 to the nearest 1000000.\nAnswer: 599000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06 minus -26475?\nAnswer: 26474.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -f**2 - 9*f + 3. Calculate m(-7).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*l = l + 65 - 45. Let u(t) = -t**3 + 3*t**2 + 10*t - 14. What is u(l)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 - -30496?\nAnswer: 30504","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 3*o - 28. Let h = o - 3. Is 4 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 19977.\nAnswer: 3, 6659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 361626697 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -10*h**2 + 5284*h - 48783. What is v(519)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 35 and 5315?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -13.6 + 41.6. What is the nearest to p in -0.4, -3, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -58, -110, -154, -190, -218?\n\"Answer: 4*r**2 - 64*r + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 4220 - 4215. Solve 17 = -2*c - 2*x + 13, -x = -a*c + 2 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**3 + 5*c**2 - 5*c + 9. Let q be m(-6). Let w be 0\/7 - -2*1. Solve -q + w = -s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.0474 - -101.9526. Let l = y + -101.8. Which is the biggest value?  (a) 2  (b) l  (c) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 424476 and 1638.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*y - 706 = 1023 for y.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -12*l**2 - 2. Let g(p) = 4*p**2 - 14*p + 110. Let v be g(9). Let r = v - 305. Let t(a) = 4*a**2 + 1. Calculate r*w(f) + 8*t(f).\nAnswer: -4*f**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(-2))*z*z*z\/(z\/z**(-2))*(z**(1\/2)*z)**(-36\/5))\/((z**1)**(6\/7)\/((z*z\/z**(1\/3)*z*z)\/(z\/(z*z*z**(-7)\/z)))) assuming z is positive.\nAnswer: z**(-1364\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(170)\/((sqrt(35) + sqrt(105)\/sqrt(3))\/sqrt(7) - sqrt(5)))\/(3*sqrt(128)*6).\nAnswer: sqrt(17)\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 >= 80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*n**2 + 5*n**2 - n**3 + 9*n**4 - 8 + 2106*n + 3*n**3 + 6*n**2 - 2104*n in the form k*n**4 + b*n**3 + z*n**2 + s + m*n and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k**4\/10 + 145846*k**3\/5 - 10635527858*k**2\/5 = 0.\nAnswer: 0, 145846","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -6299024487 - 112.035?\nAnswer: -6299024599.035","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -30*i**3 - 6601*i**2 - 218*i + 410. Give t(-220).\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 1889979371 to the power of 1\/3, to the nearest integer?\nAnswer: 1236","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) be the third derivative of -b**7\/3150 - b**6\/450 + 9*b**4\/8 + 24*b**2. Let l(k) be the second derivative of x(k). Solve l(r) = 0 for r.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 21335?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in r**3 - 3*r**3 - 1607 + 1607 + 0*r**3.\nAnswer: -2*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-31*u**2 + 14*u**3 + 31*u**2)*(0 - 2 + 4)*(-5 + 1 + 6) + 0*u**3 + 0*u**3 + 7*u**3.\nAnswer: 63*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (14*z - 13 + 13)*(238*z**2 + 28766 - 28766) + 4*z**3 - 3*z**3 + 0*z**3.\nAnswer: 3333*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of h*l**3*x**2 - 6*h*l**3 + h*l**2 + 2*h*x**2 - 87*l**4 - 79*l*x**2 + 146*l wrt l.\nAnswer: 6*h*x**2 - 36*h - 2088*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify o**(-4)\/(o\/o**(1\/6))*o*(o\/(o*o**(-2\/3)*o*o))\/o*o**(-5) assuming o is positive.\nAnswer: o**(-67\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -2*m**3 + m**2 - m - 5. Let h be -2 + 2\/1*-2. Let r(q) = -3*q**3 + q**2 - q - 6. Determine h*c(g) + 5*r(g).\nAnswer: -3*g**3 - g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 262\/14 + (-2)\/(-7). Let l = -31 - -95. Suppose -l = -5*n - m. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.196292 to 2 dps.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -124 divided by -31\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 56 and 320?\nAnswer: 2240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -110121332331 (base 4) to base 8.\nAnswer: -24317675","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 835 is divided by 335?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = -3*b + 25992, 5*i - 2786 + 11450 = b. List the prime factors of b.\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 1982879618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = x**2 - 76*x + 222. Let b be q(3). Suppose -2*c + 4 + 0 = 0. Let r be 6\/(-8) + c\/(-8). Sort r, b, 2 in ascending order.\nAnswer: r, 2, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -98 - -101. Suppose q = 3*t, 9*k = 10*k + 5*t - 16. What is the remainder when k is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 1:40 AM?\nAnswer: 12:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*20\/6*(-9)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 4599118231 to the power of 1\/2, to the nearest integer?\nAnswer: 67817","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 15*l. Let w(h) = 7*h - 5. Let y(c) = 4*c - 3. Let v(f) = 3*w(f) - 5*y(f). Calculate s(v(t)).\nAnswer: 15*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = -2*a**2. Let k(c) = 123*c**2 + 412216. Calculate k(p(z)).\nAnswer: 492*z**4 + 412216","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 433579959.\nAnswer: 3, 263, 20353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1280*m + 1281*m = 2563*m + 3 + 3, -2*m = -6*b - 66 for b.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 3993, 3454, 2917, 2382?\n\"Answer: t**2 - 542*t + 4534","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (405\/25)\/(891\/(-990)).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 73, 115, 145, 157, 145, 103, 25, -95?\n\"Answer: -z**3 + 49*z + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 186622140 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*j + 10 = 10*j. Suppose -4*c + 17 = 3*r, -2*c + 36 = j*r - 3*c. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2819, 2789, 2759?\nAnswer: 2729","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6553246 - 1538755. Let p = 29231612 + -42723613. Let f = u - p. Round f to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f + 2. Let q be x(-2). Suppose q*n - 35 = 5*n. Is (-36 - (-1 - -2))*n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 6*t + 11. Suppose 12*b - t*b - 4 = 0. Solve -i + b*h = -0*h - 2, 4*i + 4*h = 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 799043541?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand 50*b**4 + 38*b**2 - 38*b**2 + (b**3 + 9*b**3 + 0*b**3)*(b + 0*b - 2*b) + (-b**2 - b**3 + b**2)*(2 - 2*b - 2).\nAnswer: 42*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/5*i**4 + 109512\/5*i - 118638\/5 + 232\/5*i**3 + 8892\/5*i**2.\nAnswer: 2*(i - 1)*(i + 39)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 593 = u + 2*f, 2*f = 4*u - 0*f - 2372. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 334, 1254, 2796, 4966, 7770?\nAnswer: 11214","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 23570.84 nanometers in centimeters?\nAnswer: 0.002357084","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) be the third derivative of -37*n**6\/120 + 3*n**5\/20 + 4*n**2. What is the third derivative of x(v) wrt v?\nAnswer: -222","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 258 + 408. Suppose -3*a + 0*a + l = 0. Suppose -3*p - a = -o, -4*o + 2*o - 4*p + 454 = 0. Does 45 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 31453 + 50?\nAnswer: 31543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 + 1503*u**3 + 1 - 1332*u**3.\nAnswer: 171*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 9595, 9312, 9029, 8746?\nAnswer: 8463","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86*k = 88*k - 9608. Suppose k = 4*c + 2*i + 1278, -2*c + 1793 = -5*i. What is the hundreds digit of c?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -276 + -26.7.\nAnswer: -302.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(-4*(-2 + sqrt(304)) + 4*(sqrt(304)*2)**2 + sqrt(304) + sqrt(304)) + 3.\nAnswer: -40*sqrt(19) + 24363","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 72270579?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = -i**3 - 5*i**2 + 11*i - 4. Let s(v) = v**3 + v - 1. Let c(a) = -s(a) + t(a). Let p be c(6). List the prime factors of (2\/(-2))\/(1*3\/p).\nAnswer: 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -258, -2, 0, 0.4, 5 in increasing order.\nAnswer: -258, -2, 0, 0.4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l**2\/5 + 461*l\/5 + 92 = 0. What is l?\nAnswer: -460, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 679 minutes before 5:45 AM?\nAnswer: 6:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 1218298643 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5170700*c*o + 114189*o + 101 wrt c.\nAnswer: -5170700*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3407 = 53*k - 5*k - 6241. What is the greatest common divisor of 14271 and k?\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -83\/268 and 1\/3884.\nAnswer: 260228","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 4836.477 micrograms in milligrams?\nAnswer: 4.836477","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 872 - 30?\nAnswer: 842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 3, s: 1, g: 5}. What is prob of picking 2 l?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = -20*m**2 - 1010*m - 2016. Calculate f(-2).\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 36*i**3 + 1499*i**2 - 1499*i**2.\nAnswer: 36*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**2. Let c(v) = 4689*v. What is c(w(p))?\nAnswer: -4689*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 12534037 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find n such that -20*n**5 - 53068*n**4 + 1486988*n**3 + 18966316*n**2 - 11903640*n = 0.\nAnswer: -2681, -10, 0, 3\/5, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 49*b - 410. What is z(12)?\nAnswer: 178","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*n**3*p*t + 51*n**3*p + 535*n**3*t - 2*n**3 - 6*n**2*p - 2*n*p - 38*n*t - 7*p wrt t?\nAnswer: -2*n**3*p + 535*n**3 - 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*m + 15 = 4*z, 3*z + m = 2*z + 3 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: -24715 - -384\nAnswer: -24331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 2235?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) be the first derivative of -2*g**3\/3 + g**2 + 99. Factor k(t).\nAnswer: -2*t*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -52 - -30. Let y = u - -17. Sort 5, y, 0.3 in decreasing order.\nAnswer: 5, 0.3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (12\/18)\/((-2)\/3). Let d be -5 - g - (250\/(-30) + 4). Sort 0.4, -4\/5, 3, d in descending order.\nAnswer: 3, 0.4, d, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 56 = 5*q - 65, -q = -2*c + 57. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c + c - 23*c**3.\nAnswer: -23*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_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: What are the prime factors of 2109686039?\nAnswer: 47, 2819, 15923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 10 - 7. Let s = 0.19 + 0.31. Which is the closest to 3?  (a) g  (b) s  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = -4*h + 28, h = -50*t + 52*t + 10. Sort -5, 1, -1, h in ascending order.\nAnswer: -5, -1, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 47*s**2 + s + 1. Let c be g(-1). Let o = c - 16. List the prime factors of o.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 108 and 842859?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in -242776, 2\/9, -1\/3, -4, -1\/7?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -12022232001 - -10231?\nAnswer: -12022221110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22472*p + 22519*p + 22515*p - 67493*p.\nAnswer: 13*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -20 - -9. Let b = 11 + n. Suppose 0 = -4*k + 4, 2*h + k + k - 10 = b. Which is bigger: 3 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) be the first derivative of -m**4\/4 - 11*m**3\/3 + 11*m**2\/2 + m + 4. List the prime factors of h(-12).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**4\/3 - 2*h**3\/3.\nAnswer: h**3*(h - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -260*n = -513*n + 251*n - 10, 2*y = -4*n - 44 for y.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = 5*d + 11. Which is the second biggest value?  (a) -1  (b) d  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 170987 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*p + 66*p + 140*p + ((-1 - 1 + 1)*(-1 + 2 + 5) - 2 - 1 + 5 + 2 + 0 - 1)*(2*p + 3*p - 6*p) + 0*p + p + 2*p as h + g*p and give g.\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 835384 to the power of 1\/2, to the nearest integer?\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -2 + 3 + (2 - -1). Let j(w) = 3*w + 2. Let z be j(6). Suppose -7 + 1 = -2*v. Solve c - r*t = 1, v*c + 7 - z = 2*t for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 459\/6*4\/(-6). Let q = 59 + z. What is the lowest common multiple of 32 and q?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 95285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*-1*sqrt(7) - sqrt(21)\/(sqrt(3) + -5*sqrt(3) + sqrt(3))) + 2.\nAnswer: 2 + 19*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -4, -1\/4, -43\/4 in decreasing order.\nAnswer: 5, -1\/4, -4, -43\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -38538, -77047, -115582, -154155, -192778, -231463, -270222, -309067?\nAnswer: -348010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**2 + 5*r - 13. Let s be k(-7). Sort -5, 5, s in increasing order.\nAnswer: -5, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 + -39. Let u = y + 12. What is the closest to 1\/4 in 4\/3, -0.3, u?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 3077277217 to the nearest integer?\nAnswer: 1455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 y, 1 s, and 1 o when three letters picked without replacement from yhmxosxy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.0111 and -21?\nAnswer: -0.2331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + -1 + (sqrt(1539) + -2*sqrt(1539))**2 + ((sqrt(152) - (sqrt(152) - 6*sqrt(152)*-1)) + sqrt(152))\/sqrt(8).\nAnswer: -5*sqrt(19) + 1534","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = 2*c**3 - 23*c**2 - 10*c + 26. What is the least common multiple of 5 and a(12)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*v**2 - 555*v + 555*v.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 1 = f - 0*q, 2*f - 10 = -2*q. Let u(d) = d**2 - 6*d + 9. Calculate the smallest common multiple of f and u(6).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be -12*(-3)\/1128*-4. Let l = -394\/141 - n. Are -4 and l equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21816869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = -s**2 - 4*s + 29. What is w(5)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2.148 + 0.048. Let a be ((-16)\/(-14) - 1)*(-14 + 15). What is the second biggest value in -0.3, s, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 2, b: 1, m: 3, i: 4, q: 2}. Give prob of picking 2 m and 1 i.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -0.2 * -155.2\nAnswer: 31.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 10*p - 4354. Let y(u) = 2*u**2 - 8*u. Calculate y(d(q)).\nAnswer: 200*q**2 - 174240*q + 37949464","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -937100 rounded to the nearest 10000?\nAnswer: -940000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 319 and 4?\nAnswer: 1276","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = -2*z**3 + 4*z**2. Let u(c) = 8*c**2 + 5*c + 13. What is 2*m(a) - u(a)?\nAnswer: -4*a**3 - 5*a - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1780433*v**3 - 774055*v**2 wrt v.\nAnswer: 10682598","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-44))**(-26))**(6\/29) assuming l is positive.\nAnswer: l**(6864\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -1050987742 rounded to the nearest ten thousand?\nAnswer: -1050990000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 1 and 8215522?\nAnswer: 8215522","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is (1825\/(-15))\/((9\/(-36))\/(959\/(-140) + 7))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5695?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 3826 divide 105704728?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 2*q - 9*q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence exnn when four letters picked without replacement from {e: 3, x: 1, w: 3, d: 1, n: 3}.\nAnswer: 1\/440","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 21096.53 kilograms in micrograms?\nAnswer: 21096530000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3 - -3.02. Let f = b - 0.02. Let d = 23\/7 + -200\/63. What is the closest to -0.1 in f, d, -1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.18 times 85.43\nAnswer: -15.3774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 118.47 + -118. Let t = -0.046 + 0.116. Let r = g - t. Which is the third biggest value?  (a) 5  (b) r  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(h) = -50*h - 13929. What is t(-279)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -204 - 287 - 172 + 2*u**2 - 5*u - 222 + 4*u.\nAnswer: 2*u**2 - u - 885","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 1\/7*12*-7. Let s(w) = -10*w - 115. Let v be s(h). Solve v*q + 5 = -0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 15 + 2704\/(-9 + 25). Calculate the greatest common divisor of 13800 and g.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.02038 - -0.5.\nAnswer: -15.52038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 68653?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(1\/5)*a))**(2\/53) assuming a is positive.\nAnswer: a**(-2\/265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = 4*z - 2928, 10*z - 5*z - 3660 = -2*l. Calculate the greatest common divisor of 36 and z.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1991 and 33?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 2*c**3 - 3*c**2 - 3*c. Let m(x) = -5*x**3 + 10*x**2 + 10*x. Let t = 258 - 238. Suppose k - 30 = -t. What is k*s(l) + 3*m(l)?\nAnswer: 5*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 11404.264 - 11445. Let s = h - 1.314. Let o = -42 - s. Which is the biggest value?  (a) -0.3  (b) o  (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*g**2\/7 + 74*g\/7 - 720\/7.\nAnswer: 2*(g - 8)*(g + 45)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*q**2*u**2 - 5*q**2 - 821*q*u**3 + 53 wrt u?\nAnswer: 4*q**2*u - 2463*q*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8449*k + 856 + 895 - 1751)*(-k + 5*k - 2*k**2 - k).\nAnswer: 16898*k**3 - 25347*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 84\/99 + (-4)\/6. Let w = 14.5 + -15. What is the closest to -2\/5 in -3\/4, b, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-2266467)\/215854*(12\/(-10))\/((-1)\/5).\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -1080980?\nAnswer: -3\/1080980","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 88843258?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 845168.8 decades?\nAnswer: 8451688","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5017407 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:19 AM and 10:14 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/20 - 42\/10)\/(3816\/(-73458))?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 153 + -114. What is the least common multiple of 6 and p?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) be the first derivative of 5*a**2\/2 + 3*a + 14. Let y(o) = 6*o + 4. Suppose 2*x + 6 = -5*g, 0 = 3*x + x - 2*g + 12. What is x*y(r) + 4*h(r)?\nAnswer: 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*i + 0*i - i)*(i - 3*i + 4*i) + (-6*i + i + 0*i)*(5*i + 0*i - 4*i).\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 613490 * 0.09\nAnswer: 55214.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -12*m + 102. Let v be l(13). Let x be -5*v\/(-120)*8\/(-6). Solve -x*n + 10 = -0*w - 5*w, 2*n + 4 = -2*w for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 17 = 2*u - 3, u - 20 = -3*i. Let j(h) = h**2 - 4*h - 4. Determine j(i).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 + 32*m**2 - 2*m + 3. Determine j(32).\nAnswer: -61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + (1*-3*sqrt(84))\/(sqrt(588) + 1*sqrt(588) - sqrt(12)))**2.\nAnswer: -12*sqrt(7)\/13 + 739\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 435160516.\nAnswer: 2, 7, 31, 43, 89, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -9775*t**2 + 172*t - 31543898 wrt t.\nAnswer: -19550*t + 172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1842105697 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (260\/4160)\/(1\/36).\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1284008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -170, -359, -548, -737, -926?\n\"Answer: -189*z + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -20*g + 81 + 20*g - 81 - 2*g**2.\nAnswer: -2*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 12497065?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (35 - 4075*a - 38 - 21 + 24)*(4*a - a - 5*a).\nAnswer: 8150*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 735079739 to the nearest integer?\nAnswer: 902","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(15)\/((sqrt(12) - sqrt(3))*5 + sqrt(3)))**2 + (sqrt(900) + 3*sqrt(900) + sqrt(900))\/sqrt(5).\nAnswer: 5\/36 + 30*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (4 + -3)*(1836 + (-2)\/(-2)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -71.5 - -93. Let c = a - 22. What is the nearest to 2\/5 in c, 2\/7, -0.6?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -3*y**2 + y - 3. Let a be 4*(-2)\/(-4)*1. Let x be q(a). Let u be (1 - 2)\/(5\/(x + 3)). Solve -9 = u*v - c + 2*c, 5*v - c = -5 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (49\/(-7))\/((-21)\/15).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2170544087 to the nearest integer?\nAnswer: 46589","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -7844 + 8085. Is l a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the third derivative of -53*z**6\/3 + 214*z**3\/3 - 2596*z**2 + z. Find the first derivative of r(i) wrt i.\nAnswer: -6360*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.054251 - 1.945749. Let p = 13\/84 - -2\/21. Which is the nearest to -2?  (a) -5  (b) t  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) be the third derivative of -4\/3*u**3 + 0*u + 0*u**4 + 11\/60*u**5 + 0 - 4*u**2. Differentiate s(o) wrt o.\nAnswer: 22*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v = -2*v. Solve 0 = 3*t - 5*y - v - 16, 0 = 3*t - 2*y - 10 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -59\/4 + 287\/20. Which is bigger: -1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 x and 1 s when four letters picked without replacement from {k: 3, l: 4, x: 6, s: 1, j: 1, v: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 71221915 to the power of 1\/2, to the nearest integer?\nAnswer: 8439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3 = 0, 0*d + 5*d + l - 7 = 0. Solve -s - 16 = d*o - 5*o, -5*o + 30 = -5*s for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) be the first derivative of 2\/3*b + 1\/4*b**4 + 3 - 2\/9*b**3 - 1\/2*b**2. Suppose k(n) = 0. What is n?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 38 = -9*o + 83 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7583.53 + -7584. Which is the biggest value?  (a) 4  (b) u  (c) 1.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -2*b**2 + 7*b + 11. Let y(g) = -2*g**2 + 7*g + 13. Let i(v) = -6*w(v) + 5*y(v). Let u be i(4). Solve -u*j + 2*z - 4 = 6, 4*z = -4*j + 20 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when ((-42)\/(-5))\/(3\/15) is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1008 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 7 + -2. Suppose -s = u*p + 6, 4*s - s = 5*p + 42. Solve 3*f - q + s = -0*f, -4*f + 4 = 4*q for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -6483376, -25933509, -58350398, -103734043?\nAnswer: -162084444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-four thirds of a year in months?\nAnswer: 296","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c**(-1))**25*(c**(-1))**(-1\/9))**(2\/27) assuming c is positive.\nAnswer: c**(-448\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Convert 921.3246 millimeters to micrometers.\nAnswer: 921324.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -6\/7?  (a) 12631  (b) -1\/3  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((6\/28)\/((-1128)\/2632))\/(28\/(-91)).\nAnswer: 13\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**3 + 8*o**2 + 15*o + 2. Let v be u(-5). Sort -2, -8, v in ascending order.\nAnswer: -8, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((f*f**(3\/14))\/(f*f*f*f\/(f\/(f*f*f*f*f**(5\/4)))))\/(f*f*(f\/(f*f\/(f*f*f*(f*f**(2\/17))\/f*f))*f)\/f)**(-3\/2))**41 assuming f is positive.\nAnswer: f**(12505\/476)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-8)\/300)\/(0 + (-8)\/5). Let y(t) be the third derivative of 1\/60*t**5 + 0*t + 0*t**3 - u*t**4 + t**2 + 0. Factor y(v).\nAnswer: v*(5*v - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttgg when four letters picked without replacement from {g: 4, e: 1, t: 5}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -103*i - 3365. Determine j(-43).\nAnswer: 1064","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(95)\/(sqrt(10)\/(sqrt(2)*-1)).\nAnswer: -sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 372\/84 + (-8)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 3535\/4949 - 384\/(-21)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*t**2 + 1354682*t + 10107819.\nAnswer: 8*t + 1354682","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -7326 + 7559. Let z(k) = -32*k + 9. Let i be z(-7). Is i less than or equal to b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = 2*u**2 + 10*u + 3. Let t be p(-4). Calculate the remainder when 89 + t + 2 + -1 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -47\/8 and 2*1 + 252\/(-240).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -78, -151, -212, -255, -274?\n\"Answer: w**3 - 80*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s**3 + 0*s**3 + 2*s**3.\nAnswer: -4*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 987983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, n: 1}. Give prob of picking 2 g.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d = 15, -5*d - 39 = p - 37 for p.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2\/17, -2, -11, -0.017, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) + 2*(1*sqrt(68) - sqrt(68)))**2 - (sqrt(68) + (-1 + sqrt(68))**2 - sqrt(68))*5) + -3 + -3.\nAnswer: -283 + 20*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*h**3 + 1 - 1)*(-42 + 42 + 9*h) - 17*h**4 - 59*h**4 - 4*h**4 to r*h**4 + f + s*h + d*h**2 + u*h**3 and give r.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = -t**2 - 6*t + 7. Let l = 14 + -10. Suppose 21 = -l*h + 1. List the prime factors of q(h).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d\/(d\/d**10))\/d**(-2\/3))\/(d**(-12)*d**(3\/8)) assuming d is positive.\nAnswer: d**(535\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o - o - o + 2*o - 5*o + 5*o - 1 + 2*o + 1 + (-1 + 2 + 1)*(0*o - o + 2*o) + 3*o - 4*o - o - o - 2*o + 4*o + 814*o + 17*o - 140*o.\nAnswer: 697*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 102363.99999863243 + -102364. Round g to seven decimal places.\nAnswer: -0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*a**3 - 4*a**3 + 4*a**3)*(a + 16 + 9 - 5).\nAnswer: 2*a**4 + 40*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 111, 113, 115?\n\"Answer: 2*f + 109","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 6818015 or 1\/3?\nAnswer: 6818015","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Let u(d) be the third derivative of 0*d + 0*d**3 + 0*d**4 - 1\/30*d**5 + 13*d**2 + 0. Let k(f) = 61*f - 2. Determine u(k(y)).\nAnswer: -7442*y**2 + 488*y - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 5*k + 8*k - 11*k + (-1 + 2 - 2)*(0*k + 0*k - 2*k) + (-k - 4*k + 3*k)*(0 + 2 - 4).\nAnswer: 8*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -290\/848309 at most 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -46 + 65. Suppose 3*k = -5*v + x, -5*k + k + v + 56 = 0. Does 13 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 7*q + 4*f - 12, -5*q - 4*f - 53 = -57 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -e2 - 1?\nAnswer: -e3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = -n - 5. Let o be f(-6). Let z be 3\/(-2) - (-5 + 4). What is the second biggest value in o, -0.6, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - x + 41 = 0, -2*s - 2*s = 5*x - 73. Suppose y - 508 = 5*v, 19*v - 5*y = s*v + 288. Which is smaller: v or -100?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -12*(2\/4)\/1. Let g(c) = -1 - c - 3 - 1. What is the units digit of g(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-12)\/6 - (-7 + 0). Let h = -5 - -7. Solve 5*c - c = h*a - 8, -k = 3*c - a for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27091074027 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 1add54 (base 14) in base 8?\nAnswer: 3523426","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) be the first derivative of y**4\/4 - y**3 - 2*y**2 + y + 7. Let g be -6*7\/(14\/(-9)). Let m = -24 + g. Calculate f(m).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3570 divided by 119\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-3748 + (59 - 23))*(-22)\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*x**2 + 16*x**2 - 3*x**2)*(2 - 1 - 4)*(18 - 17 + 18).\nAnswer: -1026*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 13818, 27630, 41442, 55254, 69066, 82878?\n\"Answer: 13812*w + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h - 12 = -2*h + k, -2*k + 30 = 5*h. Is (4\/h)\/(4\/534 - 0) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -15 - -8. Let o = a - -3. Let z(j) = -j**2 - 4*j + 4. Let g be z(o). Let d(i) = -i**2 + 3*i + 2. What is d(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -s**2 - 10*s - 6. Let i be d(-8). What is the lowest common multiple of (-1 - 0) + (i - -7) and 20?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-276)\/(-30)*-1 + (-9)\/(-45)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 1723*l + 160*l - 2944*l.\nAnswer: -4507*l + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 13 + -8. Let r = -7.56 - -5.56. Sort m, 0.1, r.\nAnswer: r, 0.1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 7*z - 5*z - 4*z - 2 - z + 2 + (-1 - 2 + 4)*(1 - 2*z - 1) - z + 2*z - 3*z + 7*z - 3*z - 2*z - 3 - 3*z + 5 + 0.\nAnswer: -8*z + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -1817.52?\nAnswer: -727.008","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = 2 - 9 - g - 3. Let u be 3*4 + -1 + -2. Let c = u + -15. What is a(c)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 32 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**4 + 4*p**2 + 4*p**3 - 3*p + 5*p - 4*p**3 in the form x*p + l*p**4 + w + f*p**3 + u*p**2 and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 3*v**2 + 21*v. Let r be y(-7). Suppose -2*s - 38 = -2*k, r*k = -3*k - 4*s + 64. Solve 3*l - k = -l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 3\/29, 1, -32, 3, -17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -84*t + 81*t - 24 for t.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 524.2 days?\nAnswer: 45290880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.4, -0.3, -116, -3, -0.2, -94 in ascending order.\nAnswer: -116, -94, -3, -0.3, -0.2, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:13 AM and 1:12 AM?\nAnswer: 59","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -5849 or -5848?\nAnswer: -5849","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 2, b: 1, i: 2, q: 2, m: 1, k: 1}. What is prob of picking 1 b and 2 w?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -10 - -10. Suppose 5*d + 155 - 570 = r. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 19 divide 30177255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) = -5 - 9*r - 7*r + r. What is the tens digit of b(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 117\/6 - (-2)\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/7 - (-130)\/35. Let q = 14 - l. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = 2*b**3 + 10*b**2 - 10*b - 51. Let p be n(-5). What is the closest to 0.1 in -22\/7, -34, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 185 minutes after 2:24 AM?\nAnswer: 5:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3434 rounded to the nearest one hundred?\nAnswer: -3400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -7*j + 150. What is the greatest common factor of j and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 320 minutes after 5:02 AM?\nAnswer: 10:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 918 = -28*u. Is (-33117)\/(-6) + (-17)\/u 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 offmffwwmffwwokwzw. What is prob of sequence okf?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 51 - -451645?\nAnswer: 451716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 126*c**4 - 3*c + 2*c**2 - 272*c**4 + 121*c**4 + 8*c - 1 to the form j + r*c**3 + v*c**4 + z*c**2 + m*c and give m.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y + 13 = -6*y. Suppose y = 4*x + 5*b, x - 5*b + 0 + 3 = 0. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 665 + -569. Calculate the greatest common divisor of 240 and y.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*b**2\/7 - 219192*b\/7 - 3002820804\/7 = 0. Calculate b.\nAnswer: -27399","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (59\/(-118))\/((-1)\/(-1622)). Which is bigger: 0 or g?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 + 0 + 21 + 402\/(-12)?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = o. Let k be 282\/(-54) + 4\/18. Let l(s) = 11*s. Let i(b) = -5*b. Let m(q) = k*i(q) - 2*l(q). Give m(g(d)).\nAnswer: 3*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.004?  (a) 1  (b) -37  (c) -0.1  (d) -0.05  (e) -27\/11  (f) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/(-7)*((-3)\/(-1))\/138*-4.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 206632 is divided by 68877?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -127 - -135. Solve -2*o - v = 4*m, 3*m + 5 = 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.05 * -58.\nAnswer: 2.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/((c*c*((c*c\/((c**(-3\/7)\/c)\/c))\/c)\/c)\/c*c))**(-1\/69) assuming c is positive.\nAnswer: c**(8\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 6085, 12185, 18277, 24355, 30413, 36445, 42445, 48407?\n\"Answer: -k**3 + 2*k**2 + 6101*k - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = -j**3 - 6*j**2 - 2*j + 9. Let y be v(-6). Let o be y - 5 - 4\/(-6)*3. Suppose 44 = -4*h + 2*d, 0*d - o = 2*h + d. Is h at least -43\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*x = l + 26316, 0*l + 5*l + 19720 = 3*x. Let h = 5299 + x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1*2\/2*17\/(-68).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y**2\/y)**(3\/8)\/(y\/y**3)**(-29))**(-4\/25) assuming y is positive.\nAnswer: y**(461\/50)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -2121000 rounded to the nearest ten thousand?\nAnswer: -2120000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-99)\/1386)\/(((-10)\/(-4))\/(-1) - -2). What is the third smallest value in p, -0.4, 0.041?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5 + ((sqrt(68) + sqrt(68) + (-2*sqrt(68) + sqrt(68) + -5 - sqrt(68)))*6 - (0 + sqrt(68) + 0 + sqrt(68) + 1)).\nAnswer: -26 - 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1 = -7. Let t = s + 2. What is t rounded to two decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 494695, 494693, 494691?\nAnswer: 494689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 9.06 + -4.83. Let x = -0.23 + d. Let w be (-18)\/(-10) - (3 + -1). What is the closest to -1 in x, 0.1, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -240 + -4?\nAnswer: -244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 3 - 3 + 0 + 104*u**2 - 1522*u**2 in the form i*u + b + w*u**2 and give w.\nAnswer: -1418","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) be the second derivative of f**3\/2 - 3*f**2 - 7*f. Let x(y) = 7*y - 11. Let t(c) = 5*r(c) - 2*x(c). Let l be t(-4). Is l smaller than -10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = f. Let z(x) = 21*x - 3. Let b(o) = -18*i(o) + z(o). Let r be b(2). Suppose -5*g - 2*q = -17, 7*q = 3*g + r*q - 5. What is the units digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -4*h - h, -4*m + 5*h + 1502 = 0. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) = -x**2 - 24*x - 10. Let z be i(-23). Solve 37 = -z*f - 28 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 192200625 and 54?\nAnswer: 1153203750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4957205?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*w + 3 + 2. Sort w, 1, 2.\nAnswer: w, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -311, 4, -4 in increasing order.\nAnswer: -311, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 240 - 13105*h + 13121*h - 19. Calculate y(-12).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r + 4. Let c(u) = -2*u - 9. Let d(o) = 4*c(o) + 9*z(o). Let y(f) be the first derivative of 5*f**3\/3 - 41042. Determine d(y(q)).\nAnswer: 5*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert -22000 (base 5) to base 13.\nAnswer: -8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = 707*k**4 + 4*k**3 - 4*k**2 - 12*k + 151. Let h(i) = i**4 + i**3 - i**2 - 3*i - 1. Let v(z) = 4*h(z) - y(z). Find the first derivative of v(d) wrt d.\nAnswer: -2812*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/19 in -4, -2, 2\/5, 4, -1.4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5293291 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.03470005 rounded to 4 decimal places?\nAnswer: -0.0347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*c**2 + 15*c + c**2 - 4*c**2 + 0*c**2.\nAnswer: -5*c*(c - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t = m - 16, m - 2*m = 3*t - 8. Let z be (m\/5)\/(0 + 5\/(-25)). Solve -2*q = -z*i - 5 - 13, 0 = 5*i - 3*q + 24 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k = -5*k + 1620. Is 2\/(-7) - k\/(-42) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o - 4*v - v - 18 = 0, 3*v + 4 = -o. Solve -2*t = o + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 13.2 + -8. Let s = p + -0.2. Put -0.2, s, 2 in decreasing order.\nAnswer: s, 2, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add 22 and 115014130851.\nAnswer: 115014130873","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*w**4 + 6*w**3 - 21*w**2 + 12*w.\nAnswer: 3*w*(w - 1)**2*(w + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 383?\nAnswer: 2\/383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2223365 + 25566 - 173231 = 204*j. Is j a multiple of 150?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 14545, 21430, 32911, 48994, 69685?\n\"Answer: n**3 + 2292*n**2 + 2*n + 12250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from www.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*n + 299 = 82*n + 28*g, 4*n - 73 = -n - 8*g for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = -2*i + 283. Let o(c) = -36*c**2 - 1. Calculate k(o(t)).\nAnswer: 72*t**2 + 285","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1177, 2277, 3381, 4489, 5601, 6717, 7837?\nAnswer: 8961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -172953 - -562838. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 22146 and 894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express 166*c**2 + 2*c**4 - 329*c**2 + 5 + 161*c**2 + 3*c**3 in the form y*c**2 + t + w*c**3 + z*c**4 + d*c and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 928\/(-160) + 406\/145.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -7*h**3 - 6*h**2 + 9*h + 7. Let v = -34 + 39. Suppose 0 = 3*p - r + 19, 2 = -p - v*r - 15. Is d(p) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:52 PM and 3:59 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:39 PM and 4:38 AM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g be -7 + 3 - (-1 - 0). Let m(q) = -q**3 - 2*q**2 - 4. Let a be m(g). Let z = 34 + -26. Solve -a*x + 0*y + 26 = -y, -2*x - 2*y = -z for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -8 - -41\/5. Let a be ((-12)\/16)\/(18\/16). Let g = -0.45 + 0.05. Sort a, g, h in increasing order.\nAnswer: a, g, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 93*w + 3381. Let v be l(-36). Solve v*b - 51 = 16*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -609 + 608.466. Let s = z + 0.634. What is the closest to s in 0.4, 5, -40?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/476 or 0?\nAnswer: -3\/476","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {i: 3, d: 4, n: 1, z: 1, h: 2}. Give prob of picking 1 i, 1 z, and 1 h.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(75) + 1 + sqrt(75) - sqrt(75))**2 + sqrt(75))*6 + 0.\nAnswer: 90*sqrt(3) + 456","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1  (b) 5052616  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1121 (base 4) to base 3\nAnswer: -10022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0 + 3. Let l = f - 2. Let o = 6 - l. What is the closest to -1\/3 in -0.1, -5, o?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3665.2 times -1798?\nAnswer: 6590029.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 16 = g. Solve 3*b + 1 = g*i - 2, -3*i = 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -124 - (-226 - (-109 + -6)).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or 329?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v**2\/5 + 5708*v\/5 + 73528\/5 = 0. Calculate v.\nAnswer: -1414, -13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -14.8 - -9.92. Let h = c + 5. Let r = 3.031698 - 0.031698. What is the third biggest value in h, -2\/9, r?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 6 and 121?\nAnswer: 726","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7086062 by -5.\nAnswer: 7086062\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -4 + 5.4. Let s = r + 0.6. Which is the nearest to -1?  (a) s  (b) 2\/15  (c) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = 1. Let g(r) = -2*r. Let u(l) = -g(l) - 3*y(l). Let x(i) be the first derivative of 5*i**2\/2 - 8*i + 3. Calculate -8*u(q) + 3*x(q).\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5\/4 of a milligram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.5, 1\/2, -2742.5 in decreasing order.\nAnswer: 1\/2, -0.5, -2742.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 3 - -8?\nAnswer: b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(p) = -p**3 + p**2 - p - 31. Give b(0).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.22 - 0.12. Which is the biggest value?  (a) 1\/4  (b) i  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*k = -35*k + 14. Suppose 2*c - 4*q - 2624 = -0*c, k*c - 2*q - 2624 = 0. Let w = c - 567. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*i = 3*i. Suppose -1\/3*l - 1\/3*l**3 - 2\/3*l**2 + i = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 617*z**2 - 617*z**2 - 16*z**3 + 19*z**3.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 81\/53 + -408\/371. What is the smallest value in 2\/15, 4, -1, a, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -112, 20, 0.4, -68?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = -d**2 + 4*d + 5. Let b be n(3). Suppose -g - y = -b, 0 = 4*g - 0*g + 2*y - 22. Solve -g*s = 5*z + 13, 2*s + 1 + 16 = -5*z for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 minus 4030553875769?\nAnswer: -4030553875769.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -0.5  (b) -5.9  (c) -2  (d) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(-1\/5)*l*l**(-2\/39) assuming l is positive.\nAnswer: l**(146\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -803*p**2 + 804*p**2 + 3 - 7*p - 3.\nAnswer: p**2 - 7*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 81*l - 97 + 45*l - 105*l + 55*l wrt l?\nAnswer: 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22432037 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 390 divided by -5\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -63*m + 5. Let q(g) = -94*g + 8. What is -5*q(n) + 8*x(n)?\nAnswer: -34*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 20\/34099 and 71\/1464?\nAnswer: 818376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 44651 to the power of 1\/7, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*i = 104 + 66. Solve -3*y = p + 2, 6*p - i*p = 5*y - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -27284*a**3*w - a**3 + 2*a*w + 2117*a + w - 5 wrt a?\nAnswer: -163704*a*w - 6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 909 divided by -1\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 61\/(-2) + 2\/(-4). Let q = -19 - f. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 213*m**5 - 1231*m - 3*m**4 + 1108*m + 1521*m wrt m?\nAnswer: 4260*m**3 - 36*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20536776 and 36?\nAnswer: 20536776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 663 and 150?\nAnswer: 33150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 75 = -u - x, -4*u + 130 = -2*x + 436. Let d = u - -63. Let m(c) = -c**2 - 13*c + 22. Let w be m(d). Solve 5*n - w = -3*o, 0 = -0*n + n - 2*o - 7 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f and 3 i when four letters picked without replacement from {i: 16, f: 3, x: 1}?\nAnswer: 112\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1626\/13 or -125?\nAnswer: -125","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -12673\/24 - -528. Which is smaller: 0 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does -273382641 = -273382640?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 456\/(-21)*(-1)\/2 + (-597)\/(-4179).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 304549.\nAnswer: 7, 139, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 56 = -21*a. Let v(d) = -55*d - 18. Does 23 divide v(a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 3)*(-2*q - 3 + 3) + (1 + 3 - 2)*(q - q + 2*q).\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/(-8) - 1\/4) + -9. Let o be 2\/w - 22\/(-24). Solve -2*y + 0 - o*y**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-7)*161\/184\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand p**5 - 4*p**5 + 4*p**5 + (-4*p**4 - 13*p**4 + 7*p**4)*(0*p - 6*p + 4*p + (2*p + 2*p - 7*p)*(3 - 3 + 2) + 1 + 3*p - 1).\nAnswer: 51*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 175 + 134. What is the hundreds digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert b (base 15) to base 13.\nAnswer: b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 286370381 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1 + 10*k + k**2 - 16 + 26.\nAnswer: (k + 1)*(k + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 90345?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) be the third derivative of c**5\/12 - 5*c**4\/24 + 4*c**3\/3 + 2*c**2 + 239. Let x(n) = 2*n**2 - 2*n + 4. Give -3*h(k) + 7*x(k).\nAnswer: -k**2 + k + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2722, 5446, 8168, 10888, 13606?\n\"Answer: -y**2 + 2727*y - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1071997493 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8\/68 + 11552776\/272*(-2 + 4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4702 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*d + d + 3*d + 9*d**2 - 14*d**2.\nAnswer: -5*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -14*l. Let d(g) = -7 - 11 + 18 - 2*g**2. Calculate x(d(c)).\nAnswer: 28*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -359913*t**2 - 10*t**3 + 359913*t**2.\nAnswer: -10*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 18 - 6 = 0. Suppose m = 5*g + 19, 4*r - 11 = -3*g. Find the third derivative of -25*f**6 - 137*f**r + 31*f**2 + 137*f**5 wrt f.\nAnswer: -3000*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4466564?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 383.3 - 383.3. What is the nearest to n in 0.43, -1, -7?\nAnswer: 0.43","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -83\/96016 and -57\/336056.\nAnswer: 672112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3473151 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (7 + 13 - 6)*(-3 + 26 - 2)*(1 - 1 - p) to d*p + c and give d.\nAnswer: -294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(sqrt(176))**2*-1 - (-4 + (sqrt(99) + -2)**2).\nAnswer: -803 + 12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.37 - -0.704. Let s = y + -0.034. Sort 2\/19, -4\/5, s, -1 in decreasing order.\nAnswer: s, 2\/19, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1292\/31 and 42 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 156 - 68. Suppose -2*n + 5*c + q = 0, -c = n + n - 76. Suppose 2*a - n = -a. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -20*w - 3. Suppose -4*t = 5*l - 124, -3*t = -t + 4*l - 68. Calculate the remainder when n(-4) is divided by t.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -2*t**4 - 20*t**3 + 6*t**2 + 56*t - 40 = 0?\nAnswer: -10, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -148*t**4 + 5784*t**3 - 75504*t**2 + 331240*t - 26364 = 0 for t.\nAnswer: 3\/37, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3679123 less than -0.295366?\nAnswer: 0.0725463","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes after 10:54 AM?\nAnswer: 9:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -3.964176 plus 67238?\nAnswer: 67234.035824","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 530 = 3*f - 4*i, 0 = -2*f + i + 171 + 189. Does 26 divide f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -5357 + 5357.041. Suppose 0 = -2*y + 8, 5*b + 0*b - y = -9. Is j bigger than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 59 + -52. Let q(y) = -7*y + 19. Let k be q(u). Let p = k - -49. Solve -5*s - p = -4 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 161696191 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -4049 - -4098. What is the smallest common multiple of g and 49?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = 9*f - 33. Let i = -47 + 51. Let k be h(i). What is the derivative of -41*x**k - 7 + 19*x**3 + 0*x**3 wrt x?\nAnswer: -66*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*g - 4*i + 234, -2*g + 6*i + 120 = i. Let t = g + -63. Let o = t + 44. What is the units digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-70)\/((-1234800)\/70)*-14.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 z and 1 u when two letters picked without replacement from {f: 1, g: 6, z: 1, u: 1, q: 3}.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Determine o, given that 2*o**2 - 343316*o + 14733234482 = 0.\nAnswer: 85829","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1149676195?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 542627.65389 plus 4?\nAnswer: 542631.65389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -12911, -24702, -36495, -48290?\n\"Answer: -m**2 - 11788*m - 1122","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.2?  (a) 6  (b) 4  (c) 98\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*x, -3*x = -5*r - 736 + 296. Let n = r + 339. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-2)\/5)\/(1\/(-5))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 21823?\nAnswer: 139, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine t so that 2*t**3\/5 + 123370*t**2 - 56762896*t\/5 + 1305643944\/5 = 0.\nAnswer: -308517, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(sqrt(637)*-1)**2*-1.\nAnswer: 3185","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 223*b**2*m**3 - 39*b**2*m - b**2 + b*m**4 + 2*b*m wrt m.\nAnswer: 1338*b**2*m + 12*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/13, 911, 1, 5, -5, 55.\nAnswer: -5, 2\/13, 1, 5, 55, 911","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:33 AM and 7:03 AM?\nAnswer: 90","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4468 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*x - 53 - 189, 0 = 5*n + 2*x - 645. Suppose -a = 6 - 4, -63 = -5*d + 4*a. What is the remainder when n is divided by d?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5593.6 + 5594. What is the biggest value in v, 1014\/7, 2?\nAnswer: 1014\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 4 - 3715b?\nAnswer: -37157","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1292?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**3 + 6*p**2 + 6*p + 4. Let q be 4 + (-24 + -1 - -1). Let c be ((-5)\/2)\/(10\/q). Let h(u) = 2*u**3 + 5*u**2 + 5*u + 3. Calculate c*a(z) - 6*h(z).\nAnswer: -2*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve k = -1 - 0, d + 2 = k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 485*f**3 + 514*f**3 - 1014*f**3.\nAnswer: -15*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*g - l + 14, 4*g - 4*l = 3 + 1. Suppose -g*n + 11 + 4 = 0. Suppose 0 = -x + n*k + 88, -134 = -2*x - 0*k - 4*k. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.337 * -3.3\nAnswer: -1.1121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.07  (b) -2\/16739  (c) -111  (d) -2  (e) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -53 - -12735?\nAnswer: 12662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7263198, 14526376, 21789554?\nAnswer: 29052732","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 1974, 345, -2, -6 in increasing order.\nAnswer: -6, -2, 345, 1974","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h - 5*s + 6, -5*h + 2*h - 9 = -s. Let w = 1 - h. Solve -3*f - 1 = -w for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*k = 13*k + 2*k. Let o be ((-5)\/((-10)\/12))\/((-92)\/20). Which is smaller: k or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((l\/(l**(6\/11)*l))\/l)\/(l**(-36)*l))\/(l**(-4)*l**6) assuming l is positive.\nAnswer: l**(346\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -34 rounded to the nearest 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -112*27\/(-77112) - 14988\/(-153)\nAnswer: 98","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.5, 2\/17, 15, -1\/3?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) be the first derivative of 88*q**5\/5 + 3*q - 56. Differentiate b(s) wrt s.\nAnswer: 352*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = -16*l**2 - 70*l - 3. Let h = 136 + -140. Is d(h) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 22\/(27\/(-12) + 2). Suppose 12*a - 584 - 496 = 0. Let c = s + a. Let x(m) = -m**3 + m**2 + m - 1. Calculate x(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 2427 = y, 5*y = -18*l + 17*l + 12135. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) be the first derivative of -d**6\/39 + 4*d**5\/13 - 6*d**4\/13 - 80*d**3\/39 + 64*d**2\/13 + 131. Suppose h(p) = 0. What is p?\nAnswer: -2, 0, 2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*u = 5*f - 51*u + 2, -4*f + 3*u = -17. Find d, given that 6\/23*d**f + 2\/23*d**3 + 0 + 0*d = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1\/4*j**4 + 29\/4*j**2 + 0*j - 25 + 0*j**3 = 0 for j.\nAnswer: -5, -2, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l*(l\/(l*l\/l**(1\/5)))\/l*l*l*l*l*l**(1\/8)*(l**(1\/12))**(-15) assuming l is positive.\nAnswer: l**(83\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 3  (b) 0.1  (c) -567605\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 + (-2 - -1) - 0?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -167 - -163. What is the tens digit of h\/8*2*1*-487?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3439 and 27331.\nAnswer: 519289","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11*d = 265 - 232 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 2352015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + 0*t + 3*t + 3 = 0, h + 2*t + 2 = 0. Solve -2*w + h*w = 2*n, 2*n + 15 = 3*w for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 0.1410483 decades?\nAnswer: 1.410483","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - -1a?\nAnswer: 1a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j**2 - 1010*j + 7975. Determine g(8).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 743, 1629, 2515, 3401, 4287?\nAnswer: 5173","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15728?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.09 and 28.3.\nAnswer: 2.547","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1167*x = -432*x + 4797 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = -i**3 - i + 11. Let f be h(0). Suppose 3*d + f = -d + 5*c, 3*c = 3*d + 6. Suppose -2*z + 3 = -d. Calculate the remainder when 3 is divided by z.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirty-two fifths of a litre?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) -8\/103  (b) 1\/6  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 52 + 116 = 4*s. Suppose 4*l - 14 = r, -18 = -2*r - 5*l + 6. Suppose -r*y + 102 = s. Is 12 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 8*w - 45. Let i(b) = 13*b**3 - 4*b**2 + 5. Let j be i(2). Let x = -87 + j. Let g be c(x). Solve -v - g*v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 3*n + 282 = -62, -5*n - 130 = -2*f. Suppose 3*x = -4*g - 39 + 197, 2*g - 3*x - f = 0. Does 2 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3537 + 5572. Let l = -1393 + x. What is the hundreds digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:45 PM and 9:05 PM?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 + (-5 - (-3 + 10) - -12).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in eleven eighths of a milligram?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 23*p + 12044 - 12274 = 0. What is the remainder when 11248 is divided by p?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 315636?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 5*1*(-4)\/(-10). Let l be (-2)\/(-7) - (-38)\/14. Suppose 0 = k + l - 5. Solve -x + 20 = -4*o - 4*x, -w*o - k*x = 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is ((-825)\/50)\/((4\/4712 + 0)\/(-1)) a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 2779228101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ws when two letters picked without replacement from {z: 2, w: 2, s: 4, b: 2}?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -1\/11, 1\/3 in increasing order.\nAnswer: -1\/11, 1\/3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 3794837, 3794835, 3794833, 3794831, 3794829, 3794827?\n\"Answer: -2*v + 3794839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-684)\/114)\/((-30)\/(-5))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j + 84 = 2*i + 3*j, 0 = -4*i + 2*j + 180. Suppose -2*u = -u + 1, 5*u = -3*k - 152. Let t be k\/(-14) - (0 - -3). Is i at least as big as t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 2*h. Let p(d) = -694*d + 452. Give p(y(r)).\nAnswer: -1388*r + 452","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) be the second derivative of z**4\/12 + 31*z**2\/2 + 12*z. Let i(u) = 2*u**2. Give i(f(y)).\nAnswer: 2*y**4 + 124*y**2 + 1922","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = -2*w - 7. Let x be (0\/(0 - 1))\/(w + -8). Suppose -y + 15 - 1 = x. Solve 3*i - 1 = y for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = 3*b + 2*b. Let d be (-1)\/(b + 4\/(-5)). Let o be 4 + (-1 - (4 + -3))\/2. Sort d, o, 4.\nAnswer: d, o, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-108)\/243)\/((-12)\/(-45)). What is the second biggest value in 28, -0.028, v?\nAnswer: -0.028","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**4 + 9*q**2\/2 + 49. Let g(h) = 6*h**3 - 14*h. Give -5*g(a) - 8*r(a).\nAnswer: 2*a**3 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2\/38707 + -38703\/77414. What is the nearest to 0.6 in k, -1, 1, 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 85612  (b) -1\/3  (c) -2  (d) 1  (e) 0.2  (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 12*((-1)\/1)\/(-2). Let n(g) = 1 - g - g - 3*g + u*g. What is the units digit of n(7)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-85)\/(-25) - 4\/10. Suppose l*s - 1 - 4 = -2*c, 3*c - 2*s - 14 = 0. Suppose c*b - 385 = -3*b. Is 11 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 33931\/(-5) + 3\/15. Let v = 11125 + m. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from armmvrvrrvrfrvsm. What is prob of picking 1 m and 1 f?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = 66*q**4 - 8*q**3 - 8*q**2 + 18*q - 504. Let u(t) = -44*t**4 + 5*t**3 + 5*t**2 - 12*t + 336. Let w(o) = -5*i(o) - 8*u(o). Differentiate w(p) wrt p.\nAnswer: 88*p**3 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 107958243 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i - 15 = -2*l, -3*i + 3*l + 6 = 2*i. Let w(p) = p**3 + 2*p**2 - 4*p - 3. Let s be w(-3). Suppose s = r + i*r - 24. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 323040097.\nAnswer: 323040097","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 21, 4, -8, -5, 93 in descending order.\nAnswer: 93, 21, 4, -5, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5 + -1*sqrt(1372) + sqrt(1372) + -3 + ((2*sqrt(1372)*4)**2 + sqrt(1372))*2).\nAnswer: 28*sqrt(7) + 175608","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 + -57110554?\nAnswer: -57110553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 8 and 4863464?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 18 + -11. Let f(w) be the third derivative of w**5\/60 + w**4\/8 + 7*w**3\/6 + w**2 - 10*w. Is f(i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-5*(sqrt(171) - sqrt(171)*-1) + sqrt(171) - (-2*(sqrt(171)*2 + sqrt(171)) - sqrt(171)))\/(sqrt(99)\/(sqrt(891)*-4))*2.\nAnswer: -864*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = -3632*k - 7238. Calculate z(-2).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = z, 2*z - 3*z = -0*z + r for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 divide 159?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:01 AM and 7:30 AM?\nAnswer: 209","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 11, 0.2, -12\/166439, 5 in descending order.\nAnswer: 11, 5, 0.2, 0, -12\/166439","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 1360562088 to the power of 1\/2, to the nearest integer?\nAnswer: 36886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + -64 + -774 + 825.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 22*u + 12. What is the tens digit of o(2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 17*k**2 - 24*k**3 + 11*k**2 - 28*k**2.\nAnswer: -24*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 33257770?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2 - 0. Let b(w) = w**2 - y*w**2 + 2*w**2. Let x(f) = -3*f**2 + 2*f + 1. Give 5*b(c) + x(c).\nAnswer: 2*c**2 + 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n + 60 = 6*n. Suppose 2*x + 2*x - n = 0. Solve -x*o + 4*o = -5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12 and 13480104.\nAnswer: 13480104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l = -90 - 33. Let b = 47 + -13. Let g = b + -20. Calculate the remainder when l is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 229 or 0.255?\nAnswer: 0.255","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 111174\/10044 - 418\/38 and -55\/558?\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-4)\/5 + 1)\/(9\/27). What is the closest to -3 in 0.04, l, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 6b7 + -a1?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(2*(0 + ((sqrt(68) + 1)*1)**2 + 2*sqrt(68)*-3) + 2).\nAnswer: -48*sqrt(17) + 420","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((m\/(m\/(m**(-2\/7)\/m)))\/m*m*m*m**(-2))\/(m**(-2)*m\/(m*m\/(((m*m**1)\/m*m)\/m*m)))*(((m**8\/m)\/m)\/m**(2\/7))**(-2\/99) assuming m is positive.\nAnswer: m**(-971\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -i**3 + 26*i**2 - 24*i - 12. Let x be d(25). Let s(q) be the second derivative of q**3\/6 - q**2 - 3*q. What is the tens digit of s(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*3\/(-6)*-10. Let b be 4\/12 + (-14)\/(-3). Is r > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 379856, 759716, 1139574, 1519430?\nAnswer: 1899284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*l - 4 = 2558*o - 2562*o, -o = 4*l + 19 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) be the first derivative of p**5\/20 - 4*p**3 + p**2\/2 - 63. Let h(x) be the third derivative of t(x). Let u(w) = -11*w. Give u(h(f)).\nAnswer: -66*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*l + 6 = -10*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 3177*j**2 + 2995*j**2 - 16278*j**2 + 4302*j**2 + 3654*j**2. Let r(a) = a**2. What is h(r(t))?\nAnswer: -2150*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = 2*t + 25. Let o be k(-10). Solve 4*v - 2*h = -6*h, -o*h = -5 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 1494 + -600. List the prime factors of t.\nAnswer: 2, 3, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = -n**3. Let u(x) = 6*x**3 + 2*x**2 - 55*x. Determine -5*o(g) - u(g).\nAnswer: -g**3 - 2*g**2 + 55*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4180 is divided by 480?\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -23\/4 in -4, -1, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 32\/(-48)*30\/(-20).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 29\/2 of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -4 + 9 + 2 + (-7 - -3) + 27\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -649\/8 or -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 71326317.\nAnswer: 3, 1453, 16363","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 261 + -253. Solve 0 = 11*u - 7*u - r for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert e183 (base 15) to base 4.\nAnswer: 23213232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 79 + -77. Suppose -4*x = -0*x - 8. Factor -h + 3*h + h - x - h**l.\nAnswer: -(h - 2)*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1632 and 20928.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 12626 and 9.\nAnswer: 113634","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 440412 (base 5) to base 10.\nAnswer: 15107","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -a**2 - 5*a - 5. Determine q(-7).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -626077 = -2*d + 126669. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -113 plus -7933?\nAnswer: -8046","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = k - 3. Let u(m) = -2*m + 3. Let j(o) = 3*c(o) + 2*u(o). Suppose -1 - 5 = 2*s. Let i be j(s). Solve i = b - 1 - 2 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -127*c. Let r be n(-4). Suppose 0 = -3*y - 404 - r. What are the prime factors of y\/(-10) - 30\/75?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.3 * -89.\nAnswer: -26.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*w = 19*w + 6. What is the second derivative of -11*b + 0*b**2 - 21*b + 29*b**w wrt b?\nAnswer: 58","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from kmmkmkmmkmmmkm. Give prob of sequence mm.\nAnswer: 36\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -8\/9 in 3\/8, 0, 1, 5, -0.8, -2\/33?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 110011000 (base 2) to base 9\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 18 or 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 44616 - 21476. Is 20 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**3 - 5*d**2 - 62*d + 14. Determine f(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine q so that -q**2 - 69*q = 0.\nAnswer: -69, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**2 - 57*d + 2042. Determine s(25).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52)\/((sqrt(4) + sqrt(8)\/sqrt(2))*-6) + 2)**2.\nAnswer: -sqrt(13)\/3 + 589\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmhmmhmmhmmmmm. Give prob of picking 1 m and 3 h.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = 1512*r - 81641. Determine u(54).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -519 = -4*h - 994 + 515, -4*c - h = 11 - 1 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.04376 to two dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -12823 and -0.5?\nAnswer: 12822.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**1)**(2\/9))**(-1\/23)*(x\/x**(-2\/11)*((x\/(x\/((x\/((x*x**(-7))\/x*x))\/x)*x))\/x)\/x)**(-4\/11) assuming x is positive.\nAnswer: x**(-38330\/25047)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -185 + 188 - (-1 - 23).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 71 in 29.94, -1\/2, -4, -1\/5?\nAnswer: 29.94","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 572 and 3291938.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 7613, 15388, 23161, 30932?\nAnswer: 38701","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 - 165543474380?\nAnswer: -165543474373","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.1 - 0.3. Let w = -129\/224 - -1\/224. Which is the biggest value?  (a) k  (b) w  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -23*i*q*x**3 + 56*i*q*x**2 + 4*i*x**3 + 2*i*x**2 - 5*i + 11*q*x**3 + 2*q*x**2 - 3*q - 2*x**3 - 7*x wrt x.\nAnswer: -138*i*q + 24*i + 66*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 44*y - 41*y = 9. Suppose 4*a - 4*v = 252, -5*v + v - 189 = -y*a. Is 21 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -51 and -9540.\nAnswer: 486540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a centimeter in micrometers?\nAnswer: 2400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2 - -161a04?\nAnswer: 161a02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10001010111 + -111?\nAnswer: 10001010000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (4 + 0)\/(-11*(-6)\/82137).\nAnswer: 2, 19, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 1256, 2566, 3850, 5096, 6292, 7426, 8486, 9460?\n\"Answer: -2*f**3 - f**2 + 1327*f - 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) be the second derivative of f**3\/2 - 3*f**2 - 11*f. Calculate i(-5).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = -n**2 + 10*n + 3. Let i be y(10). Solve 8 = -5*g + i*q, g + 4 = -g + q for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 198  (b) 3\/7  (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine i, given that -3*i**2 + 193836*i - 969105 = 0.\nAnswer: 5, 64607","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (56 - 56 - 27*b)*(-51*b**4 - 27*b**4 + 10*b**4).\nAnswer: 1836*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -30, -153, -454, -1011, -1902, -3205, -4998, -7359?\nAnswer: -10366","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (5\/(-2))\/5*-4. Let w be -1 + (0 - 78\/o). What is the remainder when (-12)\/(-5)*w\/(-6) is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seven thirds of a decade?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 36 + 6. What is the remainder when m is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 15979*f + 894840. What is z(-56)?\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of 47*l**7\/210 - 11*l**5\/12 + 27*l**2 - 1. What is the third derivative of s(f) wrt f?\nAnswer: 1128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) be the third derivative of -7*j**4\/12 + 3*j**3 + 44*j**2. Let z(v) = -30*v + 39. Let d(w) = 13*h(w) - 6*z(w). Let i(p) = -55*p - 1. Give d(i(r)).\nAnswer: 110*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = z**3 + z**2 + z + 11. Let q(v) be the first derivative of v**4\/4 - 7*v**3\/3 + 7*v**2\/2 - 6*v - 2. Let h be q(6). Is 11 a factor of a(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + 5*(sqrt(612) - (sqrt(612) + sqrt(612)*2))*-3)*6)**2.\nAnswer: 25920*sqrt(17) + 19828944","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: -331976 * 0.1\nAnswer: -33197.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in -2\/15, -157.43, -5, 3, 1, 7?\nAnswer: -157.43","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 215576 is divided by 832.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) = -k**2 - 537*k - 5793. Let u be o(-11). Put -5, -4, u, 49 in descending order.\nAnswer: 49, -4, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2424 + 479. What is the tens digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-16 + 11)*(0 + (-4)\/(-10))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -893508 and -0.2.\nAnswer: 178701.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -6 - 115546?\nAnswer: -115555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 250616?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sum 202.131 and -1.1582.\nAnswer: 200.9728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 154 and 7015750?\nAnswer: 77173250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60*f + 112*f - 2*f**3 - 3*f - 22*f.\nAnswer: -2*f**3 + 147*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.99416285 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -3*f + 2*w, 3903*f - 3900*f + 19 = -w for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s - 3*c = -3, -4*c - 2333051 + 2333035 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 44 + -42. Solve 2*o + 2 = -j for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -2\/5, 0.09, 0.2?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 362039 to the power of 1\/8, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**34\/w**15)\/((w*w\/w**43*w)\/(w\/(w\/w**(-17))*w)) assuming w is positive.\nAnswer: w**43","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = -y**3 - 6*y**2 - 4*y - 1. Give r(-4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 5, 23, 59, 119, 209?\nAnswer: 335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (414495\/3926)\/305*16\/18?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220969.5 rounded to the nearest ten?\nAnswer: 1220970","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o, 6 = -z - 4*o + 1. Let q(i) = -i**2 - 6*i. Let p be q(z). Let s = p + 32. 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 ((-24)\/140)\/(2\/5). Which is the closest to 3?  (a) n  (b) -1  (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -182215270 and 24.83.\nAnswer: -182215245.17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from iisisisiiisiiiiiii. Give prob of picking 2 i.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 18582216 is divided by 19938?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a + 154 = -12. Let q = -43 - a. List the prime factors of q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 divided by 62526285.\nAnswer: 1\/12505257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = 2*x**3 - 5*x**2 + 6*x - 3. Let o be z(2). Solve -o*y + 27 = 2 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2400 (base 6) in base 14?\nAnswer: -2d2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a millennium in years?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 3*w**2 - 22*w**5 + 20*w**5 - 15*w**4 + 3*w**2 wrt w?\nAnswer: -120*w**2 - 360*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (18\/(-36) - 4)\/(1\/(-30)). What is the highest common factor of 2592 and l?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -9*15\/135*-10\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -6 + 6 - 4\/2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -809, -1675, -2541, -3407, -4273, -5139?\n\"Answer: -866*h + 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1\/2, -3\/5, 5, -16\/9, 0.3?\nAnswer: -16\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jnmpjyjpjnppypnqpp. What is prob of picking 1 m and 1 p?\nAnswer: 7\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 708.8708 micrograms in nanograms?\nAnswer: 708870.8","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = 13*g - 207. Let b(o) = -13*o + 209. Let r(u) = 5*b(u) + 6*i(u). Let p be r(15). Is -5\/9 > p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -6323528 and -67446.\nAnswer: -6390974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -499.9 + 500. Which is the nearest to 0.1?  (a) i  (b) -0.1  (c) 3  (d) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1512 (base 11) in base 13?\nAnswer: -b6c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/12?  (a) 2  (b) 4278  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.03 in -1, -2\/5, -9.5, 0.06, -4?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + -7 + (3 - -6).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from iqiqiiiqiiiiiiiiqiq.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 1 + (-3 + 3 - 4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, -11\/79, 2\/9 in ascending order.\nAnswer: -1, -11\/79, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3123 divided by 3?\nAnswer: -1041","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 5, j: 3, z: 2, x: 4, u: 5}. What is prob of picking 1 x and 1 h?\nAnswer: 20\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -1382, -8, 3, 275 in decreasing order.\nAnswer: 275, 3, -3, -8, -1382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t = -4*q - 3*t + 15, 0 = t - 1. Suppose 7*m - 4*m - 3 = 0. Factor 14*n**2 - q - m + 10*n + 0.\nAnswer: 2*(n + 1)*(7*n - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1336, 1323, 1310, 1297, 1284, 1271?\nAnswer: 1258","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -5458981.1 to the nearest 1000.\nAnswer: -5459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 137328 and 119424.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -10*w. Let v(h) = h**3 + 2*h**2 - 3*h - 1. Let b be v(-3). Let a be k(b). Suppose -a*n + 551 - 161 = 0. What is the remainder when n is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*n - 2*n = 0. Suppose 192 + 624 = 8*m. Suppose 33 = x + p + 3*p, n = 4*x + p - m. Solve 0*o = 3*r + 5*o + 15, x = -5*r - 5*o for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*n - 5*s + 45, -n - s = 3*n - 27. Let y(a) = n - 7*a - 3*a**2 - a**2 + 6*a**2. Determine y(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48816?\nAnswer: 2, 3, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 17005 + -119251\/7. Which is greater: -32 or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = 5*v**2 + 27*v + 13. Let y(r) = 28*r**2 + 80*r - 14*r**2 + 50 - 12. Let t(b) = 8*o(b) - 3*y(b). What is the remainder when 23 is divided by t(-11)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -2.9 and 1.6.\nAnswer: -4.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1*(-2 + (1*sqrt(80) - sqrt(5) - (sqrt(125) - (sqrt(125) - (sqrt(125)*2 + sqrt(125))))))*-6 + 1)**2.\nAnswer: 1584*sqrt(5) + 26041","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(125) - (sqrt(125) + (sqrt(125) - 6*(sqrt(125)*-2 + sqrt(125))) + sqrt(125)))\/sqrt(5))\/((sqrt(110)\/(sqrt(33)\/sqrt(3)))\/sqrt(2)).\nAnswer: -8*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*-1789 - (-6)\/(-3). Let q = r - -60927\/34. What is the common denominator of 10\/(-8)*(240\/33)\/4 and q?\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 22 + 8 = -4*v, -4*v = h + 26. Let d = 11 + v. Suppose 2*y - 5 = 3. Which is the nearest to 2?  (a) d  (b) y  (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = 5*n - 10. Let k be o(3). Let b = 196 - k. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1189, -746, -235, 344, 991, 1706, 2489?\nAnswer: 3340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2377501214?\nAnswer: 2, 11, 23, 127, 36997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*d + 3 + 7. Suppose -12 = 3*u, 2*t - d*u + 2 = 18. Suppose s + t*s + 196 = g, -3*s + 379 = 2*g. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -418\/5 > -0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 8. Let c be m(-3). Let y = c + 25. Suppose 3*g = 26 - y. Does g = 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 10:11 PM?\nAnswer: 1:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) be the third derivative of 4*b**7\/105 + b**5\/60 - 5*b**3\/2 - b**2 + 18*b. Find the first derivative of f(i) wrt i.\nAnswer: 32*i**3 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*v**3\/5 + 234*v**2\/5 - 9072*v\/5 + 23328 = 0. Calculate v.\nAnswer: 36, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 1490 = -0*f. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -2\/11, 1\/2, -2\/3, -0.2, -0.7?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15 - 16. Let v be (i + 0)*(3 - 5). Let g be (-40)\/(-12) - (-2)\/(-6). Sort 4, v, g in descending order.\nAnswer: 4, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -0.1, -0.2, 1, 79?\nAnswer: 79","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 o, and 2 g when four letters picked without replacement from oogbgogogjbbbngjoobv.\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -45787402, -45787424, -45787460, -45787510, -45787574, -45787652?\n\"Answer: -7*x**2 - x - 45787394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -706, -1815, -3664, -6253, -9582, -13651, -18460?\n\"Answer: -370*b**2 + b - 337","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 25626566 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 33537 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 3\/53 - -144\/265. Suppose -17 = 4*m - m - 2*v, 5*m - 4*v + 29 = 0. Let u(q) = q**3 + 6*q**2 + 6*q + 7. Let w be u(m). Which is bigger: a or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) = -44*o**3 - o**2. Let q be ((-2)\/4)\/((-5)\/(-10)). Calculate the remainder when k(q) is divided by (-24)\/(-40) - 214\/(-10).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14 = -3*o + 2 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -219 + 129 = 22*r + 284 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 425\/(-119) + (-5)\/((-35)\/(-3)). Let n(u) = 18*u + 34. Let r be n(d). Is -35 greater than or equal to r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 11 = -14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001373359 rounded to 7 decimal places?\nAnswer: 0.0000137","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b + 58 = 18. Let a(m) be the second derivative of m**4\/6 - 5*m**3\/6 + 5*m**2\/2 + 4*m. Calculate the remainder when a(4) is divided by b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -91132 divided by 2.\nAnswer: -45566","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*i + 3 = 30*i. Let h be 4\/i + 2 + 40\/30. Suppose v - 36 = 4*n, -11 = v - h*v - n. Calculate the lowest common multiple of 20 and v.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -63\/631598 and -65\/228?\nAnswer: 3789588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {o: 4, d: 2}. What is prob of picking 3 o?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 429*-0.1\nAnswer: -42.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -371*i - 832 - 1485*i + 838.\nAnswer: -1856*i + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:24 PM and 1:40 AM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -100774483*b**2 + 43237735*b wrt b.\nAnswer: -201548966","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - -4. Let s be 3 + -1 + o\/(-7). Let q = -9 + 28\/3. Which is the closest to -1?  (a) s  (b) q  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 9233.46 years?\nAnswer: 110801.52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in thirty-two fifths of a decade?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q - 7. Let k(j) be the third derivative of 7*j**4\/24 + 7*j**3\/3 - 33*j**2 - 3*j. Determine -2*k(m) - 5*n(m).\nAnswer: m + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*r - 157 = -2*c + 69, -3*c + 15 = 0. List the prime factors of (-46)\/(-161) - r\/14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/3?  (a) -3\/8  (b) 0.4  (c) 4061\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 806212?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence rohh when four letters picked without replacement from horhoqbqbhhqohbh.\nAnswer: 3\/1456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -m, 0 = -3*i + 5*m + 65 + 109. What is the greatest common divisor of 29 and i?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7 - (-6 + (4 - -5) + -1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 64 - 92.2. Let k = 29.18 - 0.18. Let u = k + r. Which is greater: 0 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 274*r = -113791 + 84747 for r.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 21*a**3 - 32*a**3 + 177*a**2 - 177*a**2.\nAnswer: -11*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the third derivative of -j**6\/120 + j**5\/10 - j**4\/6 + j**3\/6 - j**2. Let q = 2 - 2. Suppose q = 2*s + 2*s - 20. Give z(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10027378994 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 9\/7 in 5, -4\/35, 4?\nAnswer: -4\/35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 4 - 1. Suppose r*g = -58 + 253. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2)\/p)**(-32\/9)*(p**(-3)*p)\/(p\/(p*p**5)))\/(p**7\/p*p*p**0*(p**(2\/7))**(-35)) assuming p is positive.\nAnswer: p**(50\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) be the second derivative of -2*r**6\/25 + 11*r**5\/25 - r**4 + 6*r**3\/5 - 4*r**2\/5 + 6*r. Let n(o) = 0. What is o?\nAnswer: 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -17*s + 4 - 16*s + 36*s to w + r*s and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-20)\/6*30\/(-25). Suppose t = g + 15, -k*g + 5*g - 36 = -2*t. What is the greatest common divisor of 34 and t?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.0952 * 0.02.\nAnswer: -0.041904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 4  (b) 2\/5  (c) -1\/8  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18 = -3*p + 5*t, 0 = -18*p + 10*p + 6*p - 2*t - 12 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:15 AM and 4:53 PM?\nAnswer: 338","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = z**2 - 6*z - 50027. Let n(w) = -2*w. Determine r(n(l)).\nAnswer: 4*l**2 + 12*l - 50027","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3.736681 hours to nanoseconds.\nAnswer: 13452051600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 278457?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1880*l - 6*l**2 - 38 + 10 + 21*l**2 + 3*l**2.\nAnswer: 18*l**2 + 1880*l - 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 58\/18 + (-6)\/27. Let s be -2*(-55)\/2 + a. Suppose c - 14 = s. What is the highest common factor of 9 and c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1060761 (base 10) to base 11\nAnswer: -664a69","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f - 1 = 2*v + 5, 5*v + 12 = 4*f. Suppose v = 12*k - 3*k - 18. Let n be 17 - (3 - (2 + k)). Calculate the greatest common factor of n and 54.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 37575023 is divided by 939.\nAnswer: 938","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29916.\nAnswer: 2, 3, 277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 + 24*k**2 - 21*k + 806. Let b be n(-26). What is d in 9\/2*d + b - 3\/2*d**3 - 3*d**2 = 0?\nAnswer: -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (2\/(-4))\/((-4)\/872). Let q = j - 18. Suppose -r + q = -0*r. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 6, 378, 1068, 2082, 3426?\n\"Answer: h**3 + 153*h**2 - 94*h - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 68*h - 425 = 51. Solve h*b + 40 = 19 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (71*s**3 + 51*s**3 - 34*s**3)*(2*s + 4*s - 4*s)*(-1 - 4 + 0) to the form v*s + m*s**4 + r*s**3 + y + p*s**2 and give m.\nAnswer: -880","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 142.349 rounded to 1 dp?\nAnswer: 142.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -w + w**2 - 10*w**3 - 4*w**2 + w wrt w.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -73\/7791 and 5\/2226.\nAnswer: 15582","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 4*o**2 - 4. Let y(n) = -n**2 + 4*n + 1. Let f(b) = b**2 - b - 1. Let t(g) = -4*f(g) - y(g). What is 6*t(p) + 5*u(p)?\nAnswer: 2*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 + (-6)\/4)*(-6)\/(-3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -3*l + 5. Let b be c(5). Let f be ((-8)\/(-18))\/(b\/(-45)). Suppose -5*m + 3*m + 5*q = -8, 0 = f*q. What is the least common multiple of 10 and m?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 378800 rounded to the nearest ten thousand?\nAnswer: 380000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w + 3*t = 54, -2*w - 3*t = -0*t - 24. Let j(m) = 6*m**2 - 14*m - 37. Is j(w) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*z + 41 = -2*o, -747*z - 2 = -745*z for o.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -293210300 to the nearest one hundred thousand.\nAnswer: -293200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*q - 5*q - 1 = -o, 2*o + 6 = 4*q for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 817 divide 111985373?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 53265 and 37365.\nAnswer: 795","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that 2*z**3\/11 - 2570*z**2\/11 - 10306*z\/11 - 7734\/11 = 0.\nAnswer: -3, -1, 1289","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -18\/7?  (a) 5.6  (b) 1  (c) -20  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 18*h - 84. Let s be x(18). Sort 3, 0, s in ascending order.\nAnswer: s, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 82 - 3480*73\/1752?\nAnswer: -63","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 10399 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c\/(c*c**(-1)*c)))**(-20)\/(c**2)**(-2\/19) assuming c is positive.\nAnswer: c**(-376\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 12 = 2*q + 2*u, 0 = -4*q + 4*u + 16. Let o = q + 3. Solve -o*v + l + 2 = 0, 2*v + 1 + 1 = 4*l for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -0*x + 5*x, -2*m + 4 = -2*x. Calculate the lowest common multiple of 373 and m.\nAnswer: 2238","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -416 - -866. List the prime factors of n.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -d**3*k + d**3*t**3 + 3*d**2*k*t**3 + 32*d**2*t**2 + 2*k wrt k?\nAnswer: -d**3 + 3*d**2*t**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*q + 2*q + 3*q)*((2*q - q + 0*q)*(-4 + 3 + 3) - 6 + 6 - 3*q + 0*q - q - q).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -6 - 2052401776.\nAnswer: -2052401782","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 15 divided by 2.\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 divided by 164?\nAnswer: -1\/164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -9*q**3 + 2*q**2 + q + 5. Suppose 0*u + u - 3*y = -13, -4*y = 3*u. Let w be o(u). Calculate the common denominator of w\/60 - 2\/5 and 43\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j = 3*b - 43, -2*b - 4*j - 38 = -5*b. Let z = 3 + -3. Let f = 3 - 0. Solve z = b*q - f*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 5*i**3 + 2*i**2 + 2*i + 1. Let r = -13 + 20. Let g be (7\/21)\/((-1)\/6). Let n be 5\/(-7) + g\/r. Determine b(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**2 - 2*p + 32. Let y be l(0). Calculate the highest common factor of y and 64.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -37*m**6 - m**2 + 3*m**6 - 6*m**2 - m**2 - m**3 wrt m.\nAnswer: -4080*m**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 24.6707 rounded to 0 decimal places?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 25001, 60371, 106109, 162221, 228713, 305591, 392861?\n\"Answer: y**3 + 5178*y**2 + 19829*y - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + -2 + (sqrt(44) + sqrt(5324)*2)\/sqrt(4) + -3 + (sqrt(33)\/sqrt(3))**2 + sqrt(11) + 5 + 4.\nAnswer: 18 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Round 0.04291140099 to 5 decimal places.\nAnswer: 0.04291","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) be the second derivative of 0*k**3 - 51*k - 31\/2*k**2 + 0 + 17\/12*k**4. Find the first derivative of y(w) wrt w.\nAnswer: 34*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-114 - -4)*(-15)\/10. Let z = u + -87. Calculate the remainder when z is divided by 27.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28535004 to the power of 1\/3, to the nearest integer?\nAnswer: 306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 14*u**2 + 4*u. Let s be l(5). Let y = s - 221. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 12, h: 3}. Give prob of sequence hh.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/6 in -47, 2\/11, 12?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = -5*f + 5. Determine y(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 11983 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24\/(12\/(-4))*((-3)\/(-6))\/1?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1 - 3. Is f greater than 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 + -1)\/(((-6)\/30)\/(30\/75))?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 63487.8 rounded to the nearest ten thousand?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 181797060 and 1840?\nAnswer: 460","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7634904\/161 - -47422. Let z = f - 12\/23. What is the third smallest value in 1, z, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 308553109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**0*g**(-1))**(-37) assuming g is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -129 + 135. Solve 5*g - c = 9 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.49*10.797\nAnswer: 5.29053","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve g = 4*l - 25, 5*l + 3*g - 8 = 2 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 8 - 5. Suppose -2*j - 3*z = -11, -2*j - 3*z = -d*j - 8. Let g be (-3)\/((-3)\/2)*j. Calculate the greatest common divisor of g and 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**2 + 43*p. Let t(x) = 3*x**2 - 123*x + 59*x + 64*x. Calculate a(t(h)).\nAnswer: 18*h**4 + 129*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -37\/1426210 and -69\/8984?\nAnswer: 5704840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*h**4*n**2 + 19*h**4 - 39396*h**3 - 8*h**2*n**2 + 251*h**2 + 163*h*n**2 - 2*h*n wrt h?\nAnswer: -48*h*n**2 + 456*h - 236376","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: What is 1793 divided by 294446?\nAnswer: 1793\/294446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r - 93*q + 26 = -90*q, -4*r = 2*q + 12 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 7031 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 301 + -343. Suppose 4*d + d + 2*m = -65, -3*m = -3*d - 39. Let g = d - n. Does 3 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1732274 (base 9) to base 2.\nAnswer: 11101011111000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -11*f**2*y - 6225*f**2 + 10175*f*y - 13*y + 420 with respect to y.\nAnswer: -11*f**2 + 10175*f - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (-1*(-54)\/351)\/((-2)\/(-4))\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -294 + 289. Calculate the common denominator of -53\/754 and h + ((-46)\/36 - -2).\nAnswer: 6786","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(r) = -7*r + 14*r + 26*r**2 - 5*r**3 + 4*r**3 + 17*r + 20. Is h(23) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 2*n = -n + 8, 13 = -j - 2*n. Let f(b) = b + 4. Determine f(j).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 5 and 0.0896.\nAnswer: 5.0896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78954441 is divided by 3708.\nAnswer: 3705","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2 - 2 - 2*m - 2*m - m + 5*m - 1 + 2*m + 1 + (2*m + 0*m + 0*m)*(-2 + 3 + 1) + 2*m + 0 + 0 + 25*m + 20 - 51*m + 27*m.\nAnswer: 9*m + 20","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -6\/5 or -10?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 27416440 less than 27416446?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 2093, 2057, 2019, 1979?\n\"Answer: -u**2 - 33*u + 2127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -112*h**2 + 3*h + 224*h**2 - 118*h**2 - 1. Give a(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2248746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = v**2 + 6*v. Let n be p(-6). Let j(h) = 7*h**2 - 16*h + 7. Let o be j(2). Solve 2*c - o*f - 7 = n, 0 = c - 6*c + 5*f + 20 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**1*a*(a**1*a)\/a)\/(a**(-1\/5)\/a*a**5\/a))\/(a\/(a**(-2)\/a*a)*a**(-4)*(a*a\/((a*a**(-7\/4)\/a)\/a)*a)\/(a**(-3\/4)\/a*a)) assuming a is positive.\nAnswer: a**(-53\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4 - -2. Let u = 0.4 - 1.5. Let t = 0.1 + u. Which is the third biggest value?  (a) y  (b) 5  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 39 - 41. Sort -4, -5, h, -1.\nAnswer: -5, -4, h, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j + 10 = 3*q + 15, -2*j = -2*q for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-8*n + 5 + 0*n - 9)*((-1 + 1 - 1)*(2 - 4 + 1) - 3 + 2 - 2) to the form v*n + x and give v.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*f**5 + 20*f**4 + f**3 + 10673*f?\nAnswer: -60*f**3 + 240*f**2 + 6*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 0 - (1 + (-13 - 1)). Suppose m + 2 = 5*s. Suppose -4*w + 6 = -s*w. What is the units digit of w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -40*r + 60*r - 23*r.\nAnswer: -3*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15 = 3*m - 3*b, 4*m = 2*m - b + 7 for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1580005 rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -13*o - 106. Give g(-8).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -14\/87 and -13\/174.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.117 > 53062\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dd when two letters picked without replacement from qqqdqqdqqqq?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -359 - 155*l**2 + 348 - 13*l**2 + 20*l**3.\nAnswer: 20*l**3 - 168*l**2 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 8?  (a) -131  (b) -0.39  (c) 1  (d) 1\/7  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 7*h = -5*h - 15, a + h = 0. Suppose 0 = -3*g - g - 48. Put 3, a, g in descending order.\nAnswer: 3, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 93682\/248*(5 + -1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 246653?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) be the first derivative of b**4\/6 - 2*b + 2. Let j(t) be the first derivative of p(t). Let f(n) = -n - 12 + 12. Calculate j(f(a)).\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 2, r: 1, k: 1, a: 2}. Give prob of picking 1 r, 1 h, and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 48 and 1863912?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:15 AM and 12:49 PM?\nAnswer: 454","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*a**2 + a - a)*(a - 1 - a + 5*a)*(-a**2 - 4*a**2 + 4*a**2).\nAnswer: 10*a**5 - 2*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 2*o**3*x + 1058142*o*x**2 - 16116*x**2 - 22*x - 9 with respect to o.\nAnswer: 6*o**2*x + 1058142*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = 7*d - 1. Let h(z) = -10*z + 1. Let b(g) = 5*h(g) + 7*r(g). Let p(l) = -1. Let s(a) = a**3 + 5*a**2 + 4*a. Let k be s(-3). Give k*p(m) - 2*b(m).\nAnswer: 2*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -212*p - 23 = -209*p - 4*k, 3*k - 42 = 5*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 + j**4 - 4 - j**5 + (3*j**4 - 3*j**4 - 2*j**4)*(-4*j + 6 - 6).\nAnswer: 7*j**5 + j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -7804 + -303?\nAnswer: -8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: Let t(q) be the third derivative of -q**6\/120 + 2*q**5\/15 + q**4\/24 + 2*q**3\/3 - 3*q**2. Let d be t(8). What is the greatest common factor of d and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.052 and 83217870.\nAnswer: 83217870.052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a**2 + 57*a + 180 = 0 for a.\nAnswer: -15, -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 o when four letters picked without replacement from {v: 1, o: 12}.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 2*m**3 + 2*m**2 + m + 4. Let w be r(-3). Let i be (-66)\/(-10) - 14\/w. Calculate the highest common factor of i and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -37*w - 29. Let b(f) = 16*f + 14. Let c(g) = 7*b(g) + 3*o(g). Determine c(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 6855*j**2 + 6865*j + 10 = 0. What is j?\nAnswer: -1, -2\/1371","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 16 + -13. Suppose -4 = 4*p, -p + c = -5*j + 14. Is j less than or equal to 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 84 - 45. Does 18 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1  (b) 2  (c) -9  (d) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 13 = -2. Suppose q*a = -0 + 20. Solve 2*l + 2 = -3*o - 1, 4 = -a*o + 2*l for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*t**4\/7 + 22124*t**3\/7 + 800644*t**2\/7 + 5588404*t\/7 + 4809888\/7 = 0. What is t?\nAnswer: -27, -8, -1, 5567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wsfe when four letters picked without replacement from lksfkwlewfsf?\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 357554180 to the power of 1\/2, to the nearest integer?\nAnswer: 18909","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -5 - -100?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/5, 7, -3, -2\/25 in increasing order.\nAnswer: -3, -3\/5, -2\/25, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 21752802?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = 34 - 39*v - 217*v**2 + 111*v**2 + 4*v + 107*v**2. Let g be y(1). Let k(p) = -p**3 + p - 14. Calculate k(g).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -w + 17. Let r be x(10). Let m(j) = -r*j**3 - 5*j**2 + 3 - 3*j + 8*j**3 - 1 - j**2. Calculate the remainder when 89 is divided by m(7).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -58 + 40. Let d = -18.0176 - y. Let t = -0.01 - d. What is t rounded to 3 dps?\nAnswer: 0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i**(-2\/3))**6*(i*i**(-2\/5)\/i)**47)\/((i**(1\/2)\/i)**(-4\/23)\/(i**(-2\/3)*i*i*i)**(1\/44)) assuming i is positive.\nAnswer: i**(-346619\/15180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -14429\/1176 + 58\/147. Calculate the common denominator of z and 8\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**10*q)**(-13\/3)\/((q\/((q\/(q**(-3\/11)*q*q))\/q))\/q*q*q**(-8)) assuming q is positive.\nAnswer: q**(-1399\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -50 - (-41 + 28 - (1 - 22) - 5).\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(l) = -2*l - 2. Let m be z(-2). Suppose c + 2*w - 43 = 0, -m*c + 2*w = c - 161. What is the remainder when c is divided by 40?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((((t*t*t**(-13)*t*t)\/t)\/t*t)\/t*t)\/t*t)\/((t\/(t*t**(1\/11)*t))\/t))**(-1\/6))**(-13) assuming t is positive.\nAnswer: t**(-377\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r - 2*x - 1340 = -1376, 0 = 2*r + 4*x - 54 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*z + z = -30. Let m = -57 + 50. Let v(i) = i**3 + 8*i**2 + 5*i + 14. Calculate the remainder when v(m) is divided by z.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:06 AM and 10:31 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seventy-six fifths of a litre?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-1396)\/348 - -5*(-12)\/(-15))*6?\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h*((h\/(h*h**(2\/49)*h))\/h*h)\/h)\/h*h*h**(11\/5) assuming h is positive.\nAnswer: h**(284\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + -15391b80?\nAnswer: -15391b85","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Work out 38589 * -0.0356.\nAnswer: -1373.7684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -329*d + 173*d - d**2 - d**3 + d**2 + 175*d.\nAnswer: -d**3 + 19*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + 4*o = 0, 6*t - 4*o + 6 = 5*t. What is the tens digit of -3*1\/t - 346\/(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 x, and 1 a when three letters picked without replacement from cypaxtaacxcxaxacx?\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -548\/101?  (a) -2  (b) 1  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3 - 34*n**2 - 28*n + 64 = 0 for n.\nAnswer: -16, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Divide -153 by 37218.\nAnswer: -51\/12406","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -83296 + o - 3*o + 21657 + 61639 + o.\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor -24*m**3 - 14636*m**2 - 98864*m + 16884.\nAnswer: -4*(m + 7)*(m + 603)*(6*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 0.32, -1\/2, 4, 0.4?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 54\/416471 and -27\/757220.\nAnswer: 8329420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**2 + 10*l - 7. Let z be h(-11). Suppose 0 = -z*x + 75 + 33. Suppose 0 = -o + 2*o, -x = -3*k + 3*o. Does 4 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-10)*-1)\/((-8388)\/27960)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*n**5\/9 + 14*n**4\/9 + 2*n**3\/3 - 14*n**2\/9 + 4*n\/9 = 0. What is n?\nAnswer: -1, 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 53180?\nAnswer: 2, 5, 2659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 13754438 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -862633500 rounded to the nearest 1000000?\nAnswer: -863000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = 26*m + 36. Let u(k) = 53*k + 72. Let o(a) = -5*r(a) + 3*u(a). Does 30 divide o(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbj when three letters picked without replacement from {b: 3, j: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t**(-1))**8*(t*t*t**(-2))**(1\/77) assuming t is positive.\nAnswer: t**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 337618, 675234, 1012850, 1350466, 1688082?\nAnswer: 2025698","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -232*a. Let p(n) = -4*n**2 - 3*n - 6. Let s(b) = 3*b**2 + 2*b + 4. Let k(g) = 2*p(g) + 3*s(g). Determine v(k(c)).\nAnswer: -232*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 20, 14, 3.\nAnswer: 3, 14, 20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3364\/15 + 2\/15*i**3 + 8*i**2 + 638\/5*i.\nAnswer: 2*(i + 2)*(i + 29)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -r**3 + r**2 + r - 7. Suppose -4*m + 9 = -7*m. Let i(b) = 2*b**3 - 2*b**2 - 2*b + 22. Let d(h) = m*i(h) - 10*c(h). What is v in d(v) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2901 is divided by 2164?\nAnswer: 737","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f + 5*f. Suppose t = j, -j + f*t = -3*t. Let v(u) be the first derivative of u**3\/3 + u**2\/2 - 7*u + 1. What is v(j)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*r = -5*r - 248. Let j = 80 + -137. Let h = r + j. Solve 0 = -h*i - 5*n - 10, 0 = i - 3*n - 2*n + 20 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-4)\/(-6 - 106222\/(-65391)*(-42)\/(-4) - 11).\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6449618?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 957669216*s - 776204126 wrt s.\nAnswer: 957669216","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 21*i**2 + 6*i + 7. Let r be x(-5). Find the common denominator of (-2)\/(-9) + r\/(-720) and 133\/6.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 968 and 8228.\nAnswer: 484","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -714*((-7493)\/(-2478))\/(-127)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 = -4*h + 6. Let g = h + -4. Let o(q) = q - 1. Let d(s) be the second derivative of -s**3\/2 + s**2 + 7*s. Give g*d(v) + 2*o(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*l - 4*l**3 - 4*l**2 + 7*l**2 - 4*l as r*l**3 + p*l + c*l**2 + k and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 322 + -197. What is the remainder when x is divided by (256\/(-20))\/(2\/(-5))?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 6 and 8826?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l**2 + 34. Let q(b) = -9*b**2. Give p(q(w)).\nAnswer: -162*w**4 + 34","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((4*sqrt(420))\/sqrt(12))\/(sqrt(720) - (sqrt(720) + -4*sqrt(720))).\nAnswer: sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = -1102*w**2 - 9*w + 3. Let a(n) = -2007841*n**2 - 16395*n + 5465. Give 3*a(k) - 5465*x(k).\nAnswer: -1093*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*i - 7*i = 28. Let v = -87 - i. Let n = -3 - v. 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: What are the prime factors of 515186?\nAnswer: 2, 7, 751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 26 - 8. Suppose b = -18 - 6. Let s = b + x. Which is bigger: -9\/2 or s?\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (0 - (-6 + 3)) + 0?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 minus 61464844?\nAnswer: -61464844.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 12 = 2*c, 0 = 3*u - 4*c + 4. Find the third derivative of 2*h + h + 4*h**2 + 3*h**u - 3*h wrt h.\nAnswer: 72*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 0.2  (b) 4\/3  (c) -4\/7  (d) 4\/5  (e) -0.09\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {z: 10}. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i + 0*i + 3 + 3*i + 3*i + 11*i**2. Is j(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x - 2*d = -16, 2*x - 4*x - 8 = d for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 3*x = -5, -3*x = -c + x - 10. Let b = -79 + 85. Solve 5 = -5*k + 3*d, b*d - 5 = 5*k + c*d for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 1 v when two letters picked without replacement from {v: 3, u: 4, f: 5}.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -u**2 - 9*u + 14. Let i be a(-8). Let j = i - 41. Let h = 34 - j. List the prime factors of h.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 57033, 56982, 56931?\nAnswer: 56880","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 23\/((-805)\/42)*-5.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15951707 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 110 and 450?\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 5\/(650\/(-20))*(0 + 1). Which is the third smallest value?  (a) p  (b) -1\/3  (c) 3  (d) 20\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -68567 and 1448 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 3 a factor of 103311?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 - -14. Let m be (8\/(-10))\/(3\/15). Let p = v + m. What is the units digit of p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in -5*a**3 - 3520075*a**2 + 21120585*a - 31680945 = 0?\nAnswer: -704021, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l - 6 = 0, 4*c + 4*l = 7 - 51. Is (467 + 7)*(-3)\/c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 8\/23889?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -288 + 274 - (0 + -4 + (1 - -1))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:08 PM and 5:58 AM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-3 + 4*(sqrt(128) + (sqrt(128) + 0 - sqrt(128))*3))**2 + -3 + 5*((sqrt(128) - sqrt(128)*-2)**2 + sqrt(128))*-3.\nAnswer: -15230 - 312*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 18\/54*(-6)\/(-10). Suppose 4*n = -2 + 6. What is the third smallest value in -4, -10, n, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 + -32 + -7 + 10 + -12 + 20\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44799?\nAnswer: 3, 109, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 3\/(-9) + (-10)\/6. Suppose 0 = 3*d - n + 9, -2*d - 14*n = -19*n - 20. Sort -4, a, d, 0 in increasing order.\nAnswer: d, -4, a, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 167284603 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -46 + 63. Let p(h) = h**2 + 33*h + 19. Let u be p(t). Suppose -3*y - 12 = 0, -y + u = 3*f - 3*y. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1.4 - 1.7. Suppose -b - 35 = 4*b + 2*q, 0 = 3*b - q + 10. Let x = -11 - -16. Sort i, b, x in ascending order.\nAnswer: b, i, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 610957.8 grams to nanograms.\nAnswer: 610957800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = -5 + o**2 + 8*o + 8*o - 4. Let y be r(-16). Let t = 11 + y. Sort 4, t, -2 in decreasing order.\nAnswer: 4, t, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-3)\/(-4)*(-3404)\/(-333))\/((-8)\/24)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.5 - -1.88. Let j = 0.18 - l. Let r be 1\/3 + (-3)\/(-9). Which is the second biggest value?  (a) j  (b) r  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -128869860 by 4.\nAnswer: -32217465","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -10993, 33\/2, -2\/19 in ascending order.\nAnswer: -10993, -2\/19, 33\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 4076173 to the power of 1\/3, to the nearest integer?\nAnswer: 160","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 4493?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 1793?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*b**2*j**2 + 16*b**2*j + 31079*b**2 - 2*b*j**2 - 9*b*j + 2*b - j**2 + 227*j + 61 wrt b.\nAnswer: 8*j**2 + 32*j + 62158","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -60 - -41 - 16 - -89\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/2*34\/51.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 624 and 59484?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(i) = 56*i**3 - 77*i**2 - 77*i. Let q(s) = 0*s**2 - 62 - 4*s**2 + 62 + 3*s**3 - 4*s. What is 4*c(a) - 77*q(a)?\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 16\/12*-3 - -5. Let x be (3*8\/48)\/((-2)\/(-4)). Calculate the highest common divisor of j and x.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-17 - 106\/(-6))*6*1\/32?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*4*(sqrt(2057) + 2) + 0)**2 + -2)*-2.\nAnswer: -263804 - 5632*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 + 1 + (0 + 6 - 4)*(1 + 0 + 1) + 1 - 4 + 1)*(-2 - b + 2)*(-2*b**4 + 2 - 2).\nAnswer: 10*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = n. Let j(y) = 3667 + 80*y - 3667. Give i(j(b)).\nAnswer: 80*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-18)\/(-2)*5\/15. Solve -d = -y*d - 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 61710818 to the nearest integer?\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -122*s**2 + 1059*s - 534*s - 512*s wrt s.\nAnswer: -244","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in twenty-one quarters of a year?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8\/((-8)\/(-4)))\/2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -2212, -17654, -59552, -141130, -275612?\n\"Answer: -2204*o**3 - 4*o**2 - 2*o - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) be the second derivative of -52*b**3 - 261*b**2\/2 - 52*b + 2. Differentiate h(u) wrt u.\nAnswer: -312","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -100820.69595 - -100759.7. Let o = g + 61. Round o to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1245046?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m**3 - 165*m**2 - 855*m + 9025 = 0. What is m?\nAnswer: -19, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -12696 minus -1.463250454?\nAnswer: -12694.536749546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 176635801 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.001752475 rounded to six dps?\nAnswer: -0.001752","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24*v + 35 = 5*q + 19*v, 0 = -3*q - 2*v + 51. Solve 229 = q*n + 177 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-13)\/(-26))\/(1\/(-10)). Sort -4, m, -1 in descending order.\nAnswer: -1, -4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -100 - 101 - 102 + 3*o + 303.\nAnswer: 3*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 479 divided by 2\nAnswer: 479\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -1171*q**2 + 4690*q + 3. Determine p(4).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = -1. Let t(u) = 5*u - 25. Let s(q) be the first derivative of -2*q**3\/3 - 3*q**2\/2 + q + 10. Let x be s(-2). Determine x*t(f) + 25*c(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -97\/4038 and 83\/12?\nAnswer: 8076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 14 + 22. Suppose y + u = 4*t, 4 = 3*t - 4*t - 3*y. Solve t*i = 4*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11670 is divided by 173?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*n - 20 = 5*b, 3*b - 327*n + 325*n + 11 = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/7 - 14012\/(-868). Solve 1 + p = 17*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2*f + 4 - 4)*(f**2 - 10*f**2 + 3*f**2) + 204*f - 25*f**3 - 204*f as q*f**2 + t*f**3 + g*f + s and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 9, y: 3, c: 3, j: 1, a: 2}. What is prob of sequence ycz?\nAnswer: 9\/544","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -3*u**2 - 51*u + 41. Determine j(-18).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x + 3*f = 23 - 2, -4*x + 3*f = 7. Solve -4*z + 6 + x = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 18 - 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 4\/5, -16, -10, -1411, -1\/5 in ascending order.\nAnswer: -1411, -16, -10, -1\/5, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:49 AM and 3:37 PM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1\/11  (b) -2\/5  (c) -0.2  (d) -0.38  (e) 1\/6  (f) 31\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.687152*1.\nAnswer: -0.687152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ad when two letters picked without replacement from dirwciad.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1877 - -3122. Suppose 5*t - 1120 = 4*x + r, 2*t - x - 949 = 0. What are the prime factors of t?\nAnswer: 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-13 - (-5 - -2)) + 4 - (-17 + 3)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 2\/((-18)\/4 - -5). Suppose 3*b + 2 - n + 808*b**3 - 809*b**3 = 0. Calculate b.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1921, 1816, 11217, 26282, 47011, 73404?\nAnswer: 105461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -69 - 121 - 7 - 12*j + j - 8*j**2 wrt j.\nAnswer: -16*j - 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1192442 != 1192442?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/16)\/(4299\/280868).\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 171389.\nAnswer: 367, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = r + 2. Suppose 10 = -n + 16. Let o be f(n). Let b = -6 + o. Is b even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1b (base 13) in base 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -364*l + 3968. What is b(12)?\nAnswer: -400","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 396 and 1633167.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s*s\/((s**15\/s)\/s*s*s))\/s**(2\/21))\/(((s*s\/(s\/(s\/s**(1\/5))*s))\/s*s)\/s**(-13)) assuming s is positive.\nAnswer: s**(-2824\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 8) in base 11?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**2 - 14*p - 3. Let d = -776 - -766. Calculate u(d).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6413 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 468 - 468. Solve -7*o + o - 12 = q for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -68\/15 greater than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y - 82 = -6. What are the prime factors of y?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*r**3 - 4*r**2 + 5*r**2 + 32*r**3 in the form y*r**2 + m*r + q + c*r**3 and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -1\/3  (b) -43  (c) 5  (d) 609\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -6*(2 + (-95)\/15). Suppose 4*y = a + 6. What is the units digit of y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-10)\/25)\/(9\/99) + 5. Which is the closest to 2\/3?  (a) 1  (b) j  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*r**3 - 67*r**3 - 17*r**3 + 208*r**3 - 69*r**3.\nAnswer: -9*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -228*t - 22. Let u(n) = 2*n - 1. Calculate -44*u(o) + 2*v(o).\nAnswer: -544*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*f = 4*f + 32. Suppose 15 = 2*l - 11. Let r = l - f. Calculate the highest common factor of 5 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -47 - 1236*i**3 - 89*i**3 + 13.\nAnswer: -1325*i**3 - 34","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h be -11*(2 - 1)*1. Let o = h + 8. Let m(p) = -p + 1. Give m(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + (-1 - 1 - 1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 107 - 106.906. Let w = -0.09399876 + i. Round w to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f*g*m**2 - 4*f*g*m + 55*f*m**4 - 2*f*m**2 + 33*f*m + 19887*g*m**3 - 4*g*m**2 + 47*g wrt m.\nAnswer: 1320*f*m + 119322*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the first derivative of -v**3\/3 - v**2\/2 + 11*v + 16. Give i(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*a + 15 = 1. Let h be 11 - (0*a\/4 - -1). Solve 0 = -2*m + 7*m - h for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -1007 + 1004 - 2*n + 7*n**2 - n. Suppose 0 = q - 3*y - 25, -4*q + 0*q + 4*y = -76. Let b(v) = 22*v**2 - 10*v - 10. What is q*d(z) - 5*b(z)?\nAnswer: 2*z**2 + 2*z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 5\/11349 and -29\/113229?\nAnswer: 142781769","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.8007952l in millilitres?\nAnswer: 800.7952","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111 = 5*x + 96. Factor 16*n - 24*n**3 + 9*n**4 - 5*n**4 + 12*n**x.\nAnswer: 4*n*(n - 2)**2*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 49\/6169 and -28\/11.\nAnswer: 67859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 120 and 3792.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p - z = 84, z + 88 = -p - 2*z. Let n = 104 + 11. Let r = n + p. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 485.5215 millennia in centuries?\nAnswer: 4855.215","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.7 - 0.6. Which is the nearest to x?  (a) 2  (b) -1.3  (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c = -47 + 17. Let g = 240 + -536. Calculate the remainder when 8\/12 - g\/c is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1425)*2 - sqrt(57) - sqrt(57))\/sqrt(3).\nAnswer: 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes before 10:47 PM?\nAnswer: 4:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 36360095 or 36360093?\nAnswer: 36360095","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -333739, -1334975, -3003701, -5339917?\n\"Answer: -333745*t**2 - t + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 237 = m + 145. Suppose 2*y - 2149998 = -91*n + m*n, -3*y - 10750003 = 5*n. Round n to the nearest one hundred thousand.\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3.93 - 0.07. Let b(y) = -y**3 - 2*y**2 + 5*y - 2. Let g be b(-4). Let c be g\/(-15)*6\/(4 - 2). Put -1\/3, c, x in descending order.\nAnswer: -1\/3, c, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (2 + 37)*2\/6. Let s = -9 + d. Let -2*w**5 + 2*w**2 + 0*w**5 + s*w**4 - 6*w**3 + 2*w**4 + 0*w**3 = 0. What is w?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27072 and 4794.\nAnswer: 460224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -69 - -85. Suppose -2*m = 4*h - 2, -2*h + 0*m + 4*m + n = 0. Solve -h*v + 20 = -7*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -c**2 + 78200*c + 1955607. Calculate r(-25).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (12\/(-30))\/(42\/10 + -3). Let z = -0.05 + -0.65. Let k = 3.7 + z. Put o, 5, k in decreasing order.\nAnswer: 5, k, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**3 - 5*v**2 - v + 5. Let z be s(5). Suppose -3*b + 60 = 5*i, -2*b - 2*i - 14 + 50 = z. Calculate the highest common factor of b and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 81437\/41819 + 1\/19\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -34.46173 - -34.4. Let r = 6 - 6.062. Let t = r - x. What is t rounded to 5 dps?\nAnswer: -0.00027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 4580223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5 - 2) + (7 - 0) - (-781 + 790).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -4*a*p*s**3 - 458*a - 22*p*s**3 - 3*p*s**2 - 13*s**2 with respect to a.\nAnswer: -4*p*s**3 - 458","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(78)\/(sqrt(54)\/sqrt(9)*1).\nAnswer: sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f + 2*g + 0*g - 336 = 0, -15 = -5*g. Let v = f + 77. Calculate the remainder when -1 - (0 - 2) - v is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1638 and 7875.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Factor o + 2\/5*o**2 + 3\/5.\nAnswer: (o + 1)*(2*o + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 4.7 - 4.712. Let o = l - -0.082. Which is smaller: o or 5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -311, -743, -1453, -2441?\n\"Answer: -139*q**2 - 15*q - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 626?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 2, m: 1, z: 4, y: 3, h: 2}. Give prob of picking 2 z and 2 h.\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3280 is divided by 15?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*n - 20*n = -3*n - 1036. What is the remainder when 659 is divided by n?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1160 = -y - y. Suppose -3*h + y = h. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 97, 329, 719, 1267, 1973, 2837, 3859?\nAnswer: 5039","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (30\/5 + 380\/(-60))\/((-1)\/(-3)). Put g, -11, -5, 0, 10 in increasing order.\nAnswer: -11, -5, g, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 57255064?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + v - 7*v)*(-2 - 1 + 5) + 67 + 480*v + 28 - 90.\nAnswer: 474*v + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (-1*sqrt(136)*3)\/(sqrt(40)\/sqrt(5)*-1))**2.\nAnswer: 6*sqrt(17) + 154","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -18 + 7050*t - 8091*t + 18 as s + q*t and give q.\nAnswer: -1041","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -2*(1659\/(-6) - 5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i + 199 - 193 = -d, 0 = -3*d - 3*i + 27. Solve -16*h = -2*h - d for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*q + 3*q + q)*(-4 + 3 + 2)*(-2*q + 3*q + q).\nAnswer: 2*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c - 3*b = -0*c - 173, -3*c = 3*b - 99. What is the tens digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = v**2 - 4*v - 5. Let o be h(-4). Let p be (-6)\/(-15) + o\/(-5). Suppose -5*n + 26 = -4*a, 0 = -2*a + 4*n + n - 18. Put 5, p, a in descending order.\nAnswer: 5, a, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(960))\/(3*6*sqrt(27)).\nAnswer: -20*sqrt(5)\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -83, -198, -367, -608, -939, -1378, -1943?\nAnswer: -2652","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 46 - 50.3. Let m = w - -5. Let d = m + -0.703. What is d rounded to 3 dps?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -16*2\/(-252)*813\/1084\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-63)\/84)\/((-18)\/(-432)*-171)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4819307 or 4819306?\nAnswer: 4819306","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from oddozooodwsoo. What is prob of sequence swdo?\nAnswer: 7\/5720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -61*k = -50935 + 11529. What is the hundreds digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 58546173?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - -5 - (5 - 2) - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -2*m - 2. Let g be w(-4). Let q(j) = j**2 - 4*j + 4. Is 16 a factor of q(g)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hj when two letters picked without replacement from hhvhhjhyljhy?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 137\/2520 and -121\/420?\nAnswer: 2520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert -99bb24 (base 12) to base 8.\nAnswer: -11252614","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 + 9. Suppose s + z - 7 = 0. Suppose -3*g + 101 = 5*b - 4*g, -s*b + 43 = -5*g. List the prime factors of b.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -46, -45, -44?\n\"Answer: a - 47","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 10045, 10047, 10049, 10051, 10053, 10055?\nAnswer: 10057","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 8401 and 2981.\nAnswer: 271","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/102 and 15\/272?\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**4 - 4*z**5 + 7*z**4 - 3*z**4 + 3*z**5 - 4*z**5 - z**5 + (-3*z**4 + 0*z**4 + z**4)*(0*z - 2*z + 3*z).\nAnswer: -8*z**5 + 2*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 590 - 589.99998088. Round w to six decimal places.\nAnswer: 0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 112509, 225018, 337527?\nAnswer: 450036","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1584) + -2 - (4 + sqrt(33)\/sqrt(3))) + 2 - (sqrt(110)*2*5)\/(4*sqrt(30)\/sqrt(3)))**2.\nAnswer: -68*sqrt(11) + 3243\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 2)*(0*b + 4*b - 2*b)*(-61*b**2 + 6*b - 6*b).\nAnswer: -366*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 44452 and 1233543.\nAnswer: 4934172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -10 + 8. Let n be (-4)\/(-6)*(5 + v). Factor -2\/5*x - 2\/5 - 2\/5*x**5 + 4\/5*x**n - 2\/5*x**4 + 4\/5*x**3.\nAnswer: -2*(x - 1)**2*(x + 1)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5385044?\nAnswer: 2, 7, 192323","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.025 - -0.325. Let m be 3\/18*-2*(-123)\/(-41). What is the closest to m in f, -1, 2\/7, -0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3*o + 30 = 0. Let d be (1\/(-2))\/(2\/(-400)). What is the remainder when (d\/6)\/5*3 is divided by o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 144\/5*b**2 + 3\/5*b**3 + 0*b + 0 = 0. What is b?\nAnswer: -48, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 152 minutes after 10:04 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 16188*c**2*k**3 - 16*c**2*k**2 - 168*c**2*k + c*k**3 - 3*c*k**2 wrt k?\nAnswer: 97128*c**2 + 6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 1 = -w, 33 = 6*w - w - 2*h. Solve 0 = 16*i - w*i - 22 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, -1\/9, -4\/3, 9, -4 in increasing order.\nAnswer: -4, -4\/3, -1\/9, 0.4, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:07 AM and 3:10 PM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y + 4*y - 2, -3*g + 5*y = -50. Suppose -4*v - j + 152 = 0, v - 32*j = -35*j + 49. What is the remainder when v is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -17 + -33. Let l be (-4)\/(-18) + y\/(-18). Let j be -12*-2*l\/6. Solve -3*h + j = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 162\/39 - 4 - 72\/(-39). Solve 0 = -4*f - 3*z + x*z - 13, -5*f - 4*z = 8 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -282, -824, -1858, -3630, -6386?\nAnswer: -10372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -493*v + 141*v = 334*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/20)\/((-24)\/20).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 3004223?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -32 in -24, 217.08, -0.5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 9*u**3 + 7*u**3 - 25*u**3 - 10*u - 2 - 2*u**2 + 0*u**3 + 7*u**3. Let c(p) = -2*p**3 - 2*p**2 - 10*p - 2. Determine -6*c(q) + 5*m(q).\nAnswer: 2*q**3 + 2*q**2 + 10*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:34 PM and 10:05 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 22340978453 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -1546.03 rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2917119370?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*s + 5*s = -20. Let h(z) = -3*z - 8. Let j(g) = 3*g + 9. Let t(m) = 3*h(m) + 2*j(m). Is 2 a factor of t(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-26)\/(-7) + 2\/7. Suppose -2*t - 5*c = -23, 3*t - 45 = -j*c - 0*c. Is 12 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -73, 195, 641, 1265, 2067, 3047, 4205?\n\"Answer: 89*h**2 + h - 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -585 by -5.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -95.3, -3, 4, 0.02 in descending order.\nAnswer: 4, 0.02, -3, -95.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2303 + -2298. Solve -2*v = -4, 0 = -u*b + v - 3*v - 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2269 times -0.167637?\nAnswer: -380.368353","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b1 (base 12) to base 11\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 23370 + 2*j**2 - 23370 - j**2.\nAnswer: j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -21 + 0 + 26 + ((-2)\/(-4))\/((-5)\/(-770))\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -37312 (base 8) to base 9\nAnswer: -24040","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 390000 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 7846535057 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, -1\/3, 32\/5 in descending order.\nAnswer: 32\/5, 0.1, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round 799247 to the nearest one hundred thousand.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5 = 5*r - 3*h + h, 0 = 4*h for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -11 divided by -21743786?\nAnswer: 11\/21743786","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 236 minutes after 2:54 PM?\nAnswer: 6:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 - (-1 - 0 - 0) - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of -l**3\/2 + 25*l. Let k(p) = -3*p**2. Determine j(k(a)).\nAnswer: 9*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7850 + -7844. Solve 14*i = -q*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 185 and 74?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*o + 6 = 37*o. Calculate the lowest common multiple of 5 and o.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 48*n**2 + n - 55 - n + 93 wrt n?\nAnswer: 96*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*x**3 - 2*x**3 + 10*x**3 + 9*x**3.\nAnswer: 21*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 539fd (base 16) to base 14\nAnswer: 8cb81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(n) = n**2 - 59. Let p be y(8). Let g(d) be the first derivative of 0*d**2 + 5 - 6\/25*d**p + 0*d - 1\/10*d**4 + 0*d**3. Solve g(v) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6538887461 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 30 a factor of 9732885?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2*x = 4*f + 217774, 5*f + 362958 = 4*x. What is f rounded to the nearest one thousand?\nAnswer: -73000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = j**2 - 3*j - 2. Let y be w(7). What is the tens digit of (1 + y)\/((-6)\/(-6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 49215 divided by -9843.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -372*i = -367*i + h - 98, 4*i + 3*h = 63. Let z = 0 - 12. Let j be -1*(z - 1) + 1. What is the highest common divisor of j and i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of -j**4\/4 - 313*j. Let z(v) = 131*v. Calculate b(z(d)).\nAnswer: -51483*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*z - 351 = 89*z. Let s be (-2)\/(-3)*z\/195. Which is the nearest to 1?  (a) 1  (b) -2  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -400*l**2 + l - 13. Let k(j) = 267*j**2 - j + 9. Let b(n) = -7*k(n) - 5*q(n). Let f(s) = -s**2 + 7*s + 7. Let i be f(8). Is b(i) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k = -l - 62183 - 153756, 0 = k + 3*l - 43191. Suppose 5*x + 2*s = 72011, -3*x + 12*s = 7*s - k. Is x a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -486 + 716. Let s = w - 138. What are the prime factors of s?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-32)\/(-30) - 8\/12. Let g = 31 - 63. Let y = -30 - g. Which is the second biggest value?  (a) t  (b) -2\/15  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of c**8\/1680 + c**7\/1050 - c**6\/200 - c**5\/300 + c**4\/60 + 3*c**2 - 5. Let g(w) = 0. What is w?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = 5*t**2 + 2*t + 2. Let v(a) = 180*a - a**2 + 3 - 180*a - 2. Let y(l) = n(l) + 4*v(l). Let q be y(0). Solve 5*r - q = 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21 = -4*v - 3*v. Suppose 0 = -v*m - 0 - 18. Let t(z) = 20*z. Let i(d) = -7*d. What is m*t(o) - 17*i(o)?\nAnswer: -o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 3, c: 2, e: 2, y: 2, q: 3, s: 6}. Give prob of sequence tceq.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 8679 and 4.\nAnswer: 8683","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express (-3 + 3 + 3*o**2)*(1 - 2*o - 1) + 2926*o**3 + 6 + 3*o**2 - 24*o - 1446*o**3 - 1481*o**3 as r + a*o**3 + b*o**2 + l*o and give r.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d*d**1)\/d*d)\/d)**(-1\/3)\/(d**(-1\/3))**(-1\/3) assuming d is positive.\nAnswer: d**(-4\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 36318 (base 16) in base 12?\nAnswer: a8560","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 40 and 328.\nAnswer: 1640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 4, -0.4, 2494 in ascending order.\nAnswer: -0.4, -1\/4, 4, 2494","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is five eighths of a milligram in micrograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 29 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1 + (6*6\/9 - 2). Solve 13 = -5*p + m for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 1769841 to the nearest integer?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -449381 + -165619. Round b to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0.1  (b) 1\/5  (c) -47\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -20023312212 (base 4) in base 7?\nAnswer: -24144456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((1 + 0 + sqrt(162) - (1 + 2*sqrt(162))) + 3*1*-2*sqrt(162))**2.\nAnswer: 7938","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -829846*j**4 + 2206075 with respect to j.\nAnswer: -3319384*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = -h**2 + 5*h + 3. Suppose 4*c = -a + 17, 4*c - 8 - 6 = -2*a. Suppose c*l + 12 = 8*l. Calculate x(l).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f - 2*r + 3 - 10 = 0, 0 = -r - 5 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -28*a - 13. Let k be o(5). Let w = k - -255. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -914245 by 182849.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 19*k - 42*k - 24*k + (-186 + 39*k + 186)*(-1 + 1 - 3).\nAnswer: -164*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 139\/2 + -71. Let c = y + 2. Determine o so that 3\/2*o + 1\/2*o**3 + 3\/2*o**2 + c = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 28885502939 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 6*j**3 - 21*j**2 + 16*j + 8. Let u be m(15). Suppose -187 = -15*r + u. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 632 and 358296600?\nAnswer: 632","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -97, -1, 1, 1845, 0 in decreasing order.\nAnswer: 1845, 1, 0, -1, -97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-5*sqrt(133)\/(-1*sqrt(7)) + (sqrt(114)*1*1 + sqrt(114))\/sqrt(6))**2.\nAnswer: 932","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3681 divided by 69595?\nAnswer: -3681\/69595","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.00724 and 9.\nAnswer: 0.06516","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 0 + 3)*(-5 + 4 + 3)*(46*f + 164*f**3 + 53*f**4 - 166*f**3 - 38*f**4).\nAnswer: -30*f**4 + 4*f**3 - 92*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put together -24515 and 5.91.\nAnswer: -24509.09","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 17480 and 146280?\nAnswer: 2779320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7388131?\nAnswer: 19, 43, 9043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 65 - 32. Suppose -36*r = -b*r + 378. Let h = -113 - r. List the prime factors of h.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 55*t + 0 + 0 - 2 + 49*t.\nAnswer: -6*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*u**2\/9 + 2750*u\/9 - 13900\/3.\nAnswer: 2*(u - 15)*(u + 1390)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*r - 4 = 13*r + 11*r - 38*r, -r - 71 = 9*m - 5*r for m.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 28.71 - 29.11. Put -2, -0.25, -0.5, o, 1\/5 in increasing order.\nAnswer: -2, -0.5, o, -0.25, 1\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -54 - -54. Suppose 6*l = -t*l + 12. Solve -2*y = 6 - l for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 87068.17nm to meters.\nAnswer: 0.00008706817","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-2)\/(-6) - 64\/48)*1. Is -2\/181 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 + 2 + 10*h - 5 + 24*h**2 + 38*h**2.\nAnswer: 62*h**2 + 10*h - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 646 minutes before 1:12 AM?\nAnswer: 2:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort -94, 184998, -4 in decreasing order.\nAnswer: 184998, -4, -94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 315 + -313. What is the closest to 0.1 in n, 4, -2\/11, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 2699 divide 220791695?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -560 - -606 - (26 + 2)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) = 2*c**3 + 38*c**2 + 36*c + 26. What is the remainder when q(-18) is divided by 16?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -11\/6, 31880, -17?\nAnswer: -11\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -5*a**2 + 2*a + 5. Let q(i) = 11*i**2 - 4*i - 11. Suppose -p = s, -s + 2*p - 4*p = 2. Suppose g + 1 = -s. Determine g*q(b) - 7*y(b).\nAnswer: 2*b**2 - 2*b - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.57 - 1.5779. Round s to three dps.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -35*c + 59*c + 36*c + 2 in the form l + p*c and give p.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 0.04716.\nAnswer: -0.2358","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -8*j**3 - 2*j**2 + j - 2. Let q be a(-2). Let s = -23 - q. Let l be 4 + s\/10 - -1. Put l, 7, -3 in increasing order.\nAnswer: -3, l, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*q**5 + 4*q**5 - q**5 + (1 + 4 - 3)*(-4*q**5 - 2*q**5 + 5*q**5) - 36*q**5 + 39*q**3 - 39*q**3 + (4*q**3 - 3*q**3 - 2*q**3 - q**4)*(-8*q - 2*q + 0*q).\nAnswer: -29*q**5 + 10*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 4*x - 80 = 0, -2*v - 3 = x - 49. What is the smallest common multiple of 8 and v?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 945 is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 336\/(-588)*(-7)\/(-8)*2\/(-5)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1621\/6 - 270. Let o = -3\/571 - -7441\/3426. Let x = 5\/2 - o. Which is the closest to x?  (a) 1\/3  (b) i  (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1819 = -19*s - 90. Is s a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 171, 677, 1511, 2667, 4139, 5921, 8007, 10391?\nAnswer: 13067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1015\/1348 - 1\/337. Which is the biggest value?  (a) z  (b) 6  (c) 1\/6  (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1424719 hours to seconds.\nAnswer: 512.89884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -4\/19327 and -15\/165158.\nAnswer: 1816738","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 20\/(-8) + 9\/(-6) + -2. Calculate the remainder when -5*(-415)\/10*t\/(-15) is divided by 19.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000300377787 to 6 dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -41, 65, -2, 11186 in ascending order.\nAnswer: -41, -2, 3, 65, 11186","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3767*d**4*i - 251*d*i + 129*i + 20511 wrt d.\nAnswer: 15068*d**3*i - 251*i","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 52731*i**2. Let v(n) = 44*n**2. Calculate k(v(q)).\nAnswer: 102087216*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 12646485 to the nearest integer?\nAnswer: 3556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -172667 (base 10) in base 5?\nAnswer: -21011132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*r**3\/3 + 476*r**2 - 344*r\/3 - 356 = 0. What is r?\nAnswer: -3\/4, 1, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 36582949 and 1067407?\nAnswer: 402412439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 5 = -115. What are the prime factors of g?\nAnswer: 2, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 3\/37276 and -1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 11775724343 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -10 + 11 + 0 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10543*k**2 + 10617*k**2 - 2 + 2.\nAnswer: 74*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {h: 1, m: 6, l: 1, i: 3, y: 6}. What is prob of picking 1 i and 1 l?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 5285 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 s(h) be the first derivative of 3\/2*h**4 + 1\/2*h**2 + 0*h + 0*h**3 + 4. What is the second derivative of s(w) wrt w?\nAnswer: 36*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 40 + -10?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*i - 20 = -6*i. Put 3, i, 5 in ascending order.\nAnswer: 3, 5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -s + 3*n + 22 = 0, -13*n + 18*n = -30 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1310 = 5*z + 5*s, -2*z + 3*s = 2*s - 539. Suppose 6*k + 1639964 = 1640234. What is the remainder when z is divided by k?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = -17*c + 20. Let m(u) = 34*u - 41. Let y(t) = -5*a(t) - 3*m(t). Let z(f) = -f**2. What is z(y(q))?\nAnswer: -289*q**2 + 782*q - 529","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u - 4*n = -181, -3*u = 4*n - 79 + 590. Which is the nearest to 1\/4?  (a) u  (b) -2\/17  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*f - 16. Suppose 0 = 5*m - 20, 2*z - f*m - m = 10. Let t be (-2)\/(z + -7 + 3). Which is the closest to t?  (a) -2\/9  (b) -0.4  (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -3*a**3 + 4*a**2 + a + 1. Let z = 218 + -224. Is k(z) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(c) = -c**2 + 23*c - 12. Let d be o(10). Suppose 0 = 3*k - 77 - d. Suppose -18*n + k = -13*n. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = k, 305*l + 11 = 306*l - k for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 125 and 35.\nAnswer: 875","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 62, 64, 76, 104, 154?\nAnswer: 232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*c**4 + 3*c**3 - 3*c**3 + c**4 + (-c**3 + 2*c - 2*c)*(-2*c - 5 + 5) - 2*c**4 - c**4 + c**4 + 4*c**4 - 5*c**4 + 2*c**4)*(32*c + 4*c - 6*c).\nAnswer: 120*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -y**2 + 9*y + 10. Let g be s(7). Let p = g + 66. What is the remainder when p is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 3*z + 35. Let g be k(-6). Suppose -5*h + 8 = -g, -4*h = 4*r - 6238880. Suppose 0 = -4*l - r - 1000285. Round l to the nearest one hundred thousand.\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-32)\/64*4\/(-1))\/((-6)\/(-15))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = 2*h + h - 4*o, 3*o - 12 = 3*h. Let p(s) = -4*s + 30. Calculate the smallest common multiple of p(7) and h.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 322210955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 1, 78, -217 in descending order.\nAnswer: 78, 1, -4, -217","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -24.7047 times -101\nAnswer: 2495.1747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) = -2*h - 4 + 3 + 301*h**2 - 9. Is a(-3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 26\/8 - 2\/8. Suppose -26 = -5*w + 4*h, w = -j*w - 2*h. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8078*c = 101105 - 416147 for c.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (24 - 9 - 8)\/((-7)\/(-2)). Solve -2*w - 1 = -f*h + 1, 0 = -5*h for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 4 + -6?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 18336629 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -31*j + 1. Let p be x(1). Let a = 50 + p. Is a a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 10880 and 340?\nAnswer: 10880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7312 and 64?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 43 - 1121431430?\nAnswer: -1121431332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 3, -3.8, 1\/2, 0.8, 12?\nAnswer: -3.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 - 2 - (22 + -31)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {z: 1, c: 2}. Give prob of picking 2 c.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 204858, 204839, 204818, 204795, 204770, 204743, 204714?\nAnswer: 204683","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -t - 21 = -4*i, 3*i - 4*t - 20 - 12 = 0 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 1 + 2*n**3)*(2*n**2 + 2*n**2 - 7*n**2) + 2*n**5 + n**3 - n**3 + n**2 - n**2 - n**5 + (-2*n - 1 + 1)*(-2*n**4 + 11*n**4 - 3*n**4).\nAnswer: -17*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -43.2 - -44. Round y to the nearest integer.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*r + 237*r = -1781 - 4 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) -0.5  (b) -1  (c) 250\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*a + y + 0 - 1 + 15 = 0, 5*a - 3*y + 28 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(s) = 6*s**2 + 1. Let k be g(1). Let v(i) = -i**2 + 8*i + 7. Let x be v(k). Solve -8 = -5*l + 3*a, 4*l - x - 10 = -2*a for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes before 2:39 AM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 29505 + -29484. Solve -115 = -34*a + x for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 51.025804 to 1 dp.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 31 - 31. What is the second smallest value in -2\/19, -4, f?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3258 by 8069.\nAnswer: -3258\/8069","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s be -15*6\/45*-3. Suppose s*n - 50 = n. List the prime factors of n.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-138)\/(-621) - 6*64\/1404.\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -q + 9*q**2 + 5*q**3 - 6*q**3 + q.\nAnswer: -q**3 + 9*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -p + 3. Let x be j(0). Let y be (3\/(-3) + x)*2. Find the third derivative of y*d**5 + 19*d**2 - 2*d**5 - 27*d**2 wrt d.\nAnswer: 120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -224 - 247 + 450 - t + 4*t.\nAnswer: 3*t - 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 - 9*m + 1. Let g = 22 + -13. Let o be b(g). Solve 2*w - o = 3*z, -3*z - 2*z = 4*w - 35 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/6 in 3\/2, 6, 5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.1  (b) 2.2  (c) 0.4  (d) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 9*z**2 - 11*z - 9. Let p(w) = -3*w**2 + w + 2. Let o be p(2). What is g(o)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be ((-5)\/(-30))\/((-7)\/(-294)). Let r(g) be the first derivative of 16\/7*g**2 - 1\/2*g**4 - 10\/21*g**3 + m - 8\/7*g. Factor r(k).\nAnswer: -2*(k - 1)*(k + 2)*(7*k - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 2081*i - 129304. Determine z(62).\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y = 20, -2*j + 2*y = -y - 23255. List the prime factors of j.\nAnswer: 2, 5, 7, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -8*j - 10. Let p be l(-1). Let x be (-3 + 0)\/(p\/18). Suppose -30 = 24*q - x*q. What is the remainder when 29 is divided by q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or -301\/338?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -5) + (-1 - 5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110179?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.03 + -1596684.362.\nAnswer: -1596684.332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 - 33110432?\nAnswer: -33110425","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -11\/4 - -5\/2. Let j = -22 - -40. Let l = j + -18.02. What is the closest to 1 in 2, l, g?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*i - 359 + 515 = 0. Calculate the remainder when 84 is divided by i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -7*-4207365.\nAnswer: 29451555","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1457.\nAnswer: 31, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is bc - -f?\nAnswer: cb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5046 is divided by 57.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 836 and 1540.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 1553.905 millennia?\nAnswer: 1553905","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*a = 12*a + 44. Let c(m) = m**2 + 11*m + 4. Let d be c(a). Find the second derivative of -29*w**3 + w + 29*w**3 - w**d wrt w.\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 76302292?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = 3*r**3 + 23*r**2 + 13*r - 6. Calculate s(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*k = 4*t - 0*k - 20, 5*k + 7 = -t. Let s = 323 + -324. Put 0, t, s in increasing order.\nAnswer: s, 0, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -8?  (a) -294  (b) -3  (c) -6.9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 120\/(-16)*(-6)\/9. Solve 3*w = n*x + 6*w - 5, -5*w - 17 = 2*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = k**2 + 1. Let w be i(3). Suppose 10 = -a - 4*l, -5*a + 2*l = 7*l - w. Let j = -24 - -40. Calculate the remainder when j is divided by a.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 27 + -36. Let m = b - -11. Solve m*d + 11 = 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-16)\/(-1496)*17 + 784\/165 and 29\/30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*j*n**3 + j*n**2 + 109*j*n - 32*j - 38467313*n**3 + 7*n**2 - n - 9 wrt n.\nAnswer: 12*j - 230803878","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -30 + 39*o + 65 - 35.\nAnswer: 39*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*x**4 + 16*x**4 - 11*x**4 + (-3*x**2 + 4*x**2 + x**2)*(-41*x**2 + 53*x**2 - 28*x**2) to q*x**2 + u*x**3 + o + g*x + m*x**4 and give m.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 7 - 2 - 45*10\/150. Factor 6\/11*a - 2\/11*a**b + 0.\nAnswer: -2*a*(a - 3)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -r**2\/3 + 19*r\/3 + 50.\nAnswer: -(r - 25)*(r + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 288 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-1 + 1 + 2*v)*(v + v + 0*v) + 4*v**2 - 3*v**2 - 2*v**2 + 3*v**2 + 2 - 2)*(-1670 + 1025*v**2 + 1670).\nAnswer: 6150*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -8.1 - -9. Let d = m + -0.4. Which is the closest to -1\/2?  (a) d  (b) -0.4  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 1\/2  (b) -32.4  (c) -0.84  (d) -0.3  (e) 0.29  (f) 25\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 18308013.\nAnswer: 3, 79, 77249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -138*n*u**3 + 34*n*u**2 - 5*n*u - 391*n + 6*u**2 - 3*u wrt u.\nAnswer: -828*n*u + 68*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -y**2 - 7*y + 9. Let j(s) = s**2 + 7*s - 2. Let z be j(-6). Let v be x(z). Let p = 2 - -16. Solve 3*i = -5*k - p - v, -3*i - 15 = 3*k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2)*(2*h - 4*h - 2*h) - 3*h + 4*h + 0*h + (-2 - 2 + 3)*(-h + 2 - 2) + 3*h + 0*h - 2*h + 0 + 2*h + 0.\nAnswer: 13*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -j**3 + 21*j**2 + 33*j - 31. Determine r(22).\nAnswer: 211","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 34*y**3 - 2*y**3 - 15*y**3 - 10*y**3 - 8*y**3.\nAnswer: -y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 4, -53\/5, -17?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) = j + 2. Let y be g(-5). Let r(i) = i + 1. Calculate r(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 36) + 89 + -18 - (0 - 1)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1104 - -907. Let c = 3452572854.99999035 + -3452573052. Let k = c - o. Round k to six dps.\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v = 3*l - 36, 3*l - 28 = v - 7 for l.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13\/(-52) + (-1)\/(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - o - 4. Let w be u(4). Suppose -3*n - 3*j + 12 = 0, n + 3*j - w = j. Suppose 3*z - 5*z + 32 = n. Solve -p - z = 3*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 80, 199, 380, 623, 928?\nAnswer: 1295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 123828 is divided by 1453?\nAnswer: 323","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide 16 by -5.\nAnswer: -16\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z - z - 8 = 0. Suppose 0 = -2*n + 2*y + 158, -n + y - 249 = -4*n. Suppose n*u - 85*u = 60. Is z greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*j**3*l**3 - 2*j**3*l*n + 6692*j**2*n - j*l**2*n - 65463*l**3*n wrt l?\nAnswer: -12*j**3 - 392778*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/10)\/((-243)\/324)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i - 3*i + 5*g = 25, 2*g + 9 = -3*i. Let w = -2 + 3. Which is the closest to w?  (a) -2  (b) 3\/2  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 395470.\nAnswer: 2, 5, 71, 557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 65415?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 100848 and 764?\nAnswer: 100848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 1  (b) -0.04568801  (c) 4  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 1575*u**2 - 7. Let l(b) = 525*b**2 - 2. What is 14*l(w) - 4*v(w)?\nAnswer: 1050*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1 - -7. Let s(w) = w**2 - 4*w - 6. Calculate s(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2 - -0.2. Let d = -0.2 + z. Let w be -5 + 25\/8 - -2. Which is the second biggest value?  (a) d  (b) -3  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -174*l**3 - 3*l**2 - 5*l. Let g(f) = -87*f**3 - f**2 - 3*f. Calculate 5*g(q) - 3*p(q).\nAnswer: 87*q**3 + 4*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 35832?\nAnswer: 1\/35832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 14703, 29410, 44135, 58878, 73639, 88418?\n\"Answer: 9*q**2 + 14680*q + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 591369 a multiple of 358?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 12  (b) -0.4  (c) -3  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 69243.5 decades to months.\nAnswer: 8309220","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -12150 + 12145. What is the closest to 39 in -1, 2, 3, c?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 303051473?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-6) - (-38)\/12. Solve -4*r - 5 = -u*r for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2474140 to the power of 1\/2, to the nearest integer?\nAnswer: 1573","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: ((1666\/1360)\/(-49))\/(2\/8)\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9\/31 + 13\/62. Let n(m) be the second derivative of 0 - 1\/4*m**4 + 0*m**2 - g*m**3 + 2*m. What is the second derivative of n(i) wrt i?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 87174 to the nearest integer?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hxxbbrbbxiryb. Give prob of picking 2 x.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from nronnonnrrrnnonr. What is prob of sequence rnn?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d = -8, -55*d - 40 = 3*i - 56*d for i.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166706?\nAnswer: 2, 19, 41, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -7 - (-11 - -5) - (-3 - 5 - 3).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 47807*g - 111008.\nAnswer: 47807","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*h**2\/5 + 210976*h\/5 + 156186972\/5.\nAnswer: 4*(h + 751)*(h + 51993)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(210) + (sqrt(210) - 1*sqrt(210)*-4) + sqrt(210))\/(sqrt(720)*-2))\/(sqrt(216)*-2 + 2*sqrt(150)).\nAnswer: 7*sqrt(7)\/48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 3 + -3 + (-4 - 0)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 1049949.01 to the nearest 100.\nAnswer: 1049900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 + -40?\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 175, -49, -273?\n\"Answer: -224*w + 399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 + -7. Suppose -3*p - k = -7. Is 7 a factor of (p + 0 - 5) + 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 13021\/5 + -2593. Let o = -3876279\/10 + 388482. Let x = o - 856. Find the common denominator of s and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.1 + 0.2. Let w be -6 - -1 - 124\/(-24). Let h be (-3)\/9 - 4\/6. What is the second biggest value in h, i, w?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) be the third derivative of -3*d**7\/490 + d**6\/56 - d**5\/140 - d**4\/56 - 19*d**2. Find p, given that v(p) = 0.\nAnswer: -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.9095 to 1 dp.\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -26 - -80 - 0 - 38.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -6\/7  (b) 0.101  (c) 109  (d) -149  (e) -4\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(g) = 8*g**2 + 24*g - 3. What is p(11)?\nAnswer: 1229","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -8*b - 514842 - 13*b - 15*b + 515126 + 35*b.\nAnswer: -b + 284","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - v + 123 = 38, -v - 259 = -3*q. What are the prime factors of q?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 69, 241, 547, 987?\n\"Answer: 67*g**2 - 29*g + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.1, 1, -20 in descending order.\nAnswer: 1, 0.1, -20","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x - 3*m + 9 = -7*x, 0 = -5*x + 3*m - 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 36341576 to the power of 1\/2, to the nearest integer?\nAnswer: 6028","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*p**3 + 10230*p**2 + 51188*p + 61440 = 0. Calculate p.\nAnswer: -3, -2, 5120","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -1\/5, -0.3, -325?\nAnswer: -325","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -7\/246 and 65\/33.\nAnswer: 2706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 102  (b) -1\/25  (c) -21\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2436 to the power of 1\/4, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -15 + (6 + (3 + -4 - -7) - 8).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 989604658 to the nearest integer?\nAnswer: 31458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*h*t + h*u**2 - 18*t*u**4 - 18357*t*u + 19*t + 21630 wrt u?\nAnswer: 2*h*u - 72*t*u**3 - 18357*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 4771 or 9595?\nAnswer: 4771","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 r when four letters picked without replacement from rrkyryryrpy?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the third derivative of 0 + 55\/24*x**4 - 5*x**2 - 1\/3*x**3 + 0*x. Is v(3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = -6*r**3 - 127*r**2 - 7*r. Let j(i) = i**3 + 2*i. What is 5*j(y) + v(y)?\nAnswer: -y**3 - 127*y**2 + 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 4*t. Let v(b) be the second derivative of b**5\/20 + 3*b**3\/2 - 18*b. Let a(n) be the second derivative of v(n). Give a(g(z)).\nAnswer: 24*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 3*y - 69 = 0, 937*c - 5*y - 79 = 1000*c for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000006659 rounded to seven dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 190?\nAnswer: 2, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 356 and 12.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-2)\/(-6))\/((-5)\/(-330)). What is the highest common divisor of k and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) -907  (b) 5  (c) 6134  (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.5 and -0.068.\nAnswer: 0.034","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 + 2 + 14\/(-2). Suppose -q + 4*h - 12 = 0, -3*q + 2*h + 9 = 5*h. Let x be (0 - q)\/(g + 4). Solve 2*u = -x*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 96 and -98.\nAnswer: -9408","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the third derivative of -3*c**7\/70 - 17*c**5\/60 + 7*c**2. Find the third derivative of d(p) wrt p.\nAnswer: -216*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = 5 - s + 43*s**3 - 42*s**3 - s**2 - 2. Let v be t(0). Sort v, 5, 4.\nAnswer: v, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -0.089, 3\/28, 413 in ascending order.\nAnswer: -0.089, 3\/28, 4, 413","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 7355 a factor of 89974978?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 + 2*n + 11. Let z be c(0). Solve -7*d - 24 = -4*q - 3*d, z = q - 2*d for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 120 = 74*s - 34*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -2 - -1284?\nAnswer: 1282","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2027 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -542 not equal to -542?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (-8 - -2) - 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 + 15168*m + 558472. Give y(-37).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = -2754666*u. Let b(f) = 7*f. Give b(s(d)).\nAnswer: -19282662*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - 9*z**2 + 10*z - 8. Let s be u(-10). Let g = 3 - s. Let j = 116 + -72. Calculate the greatest common divisor of g and j.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -31. What is the lowest common multiple of v and 14?\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -17293, -34907, -52545, -70213, -87917, -105663, -123457?\nAnswer: -141305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 0 + -111011?\nAnswer: -111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 11007140 rounded to the nearest ten thousand?\nAnswer: 11010000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2 - 39\/(-3) - -3. Let x = w + -3. What is the remainder when 15 is divided by (-2)\/5 - (-141)\/x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -5, -65, -0.4 in decreasing order.\nAnswer: 2, -0.4, -5, -65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-3)*180\/330)\/(92\/(-23))?\nAnswer: -1\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (((-8)\/6)\/(9\/(-108)))\/2. Suppose 0 = -18*c + a*c + 450. Calculate the smallest common multiple of c and 21.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 - 21568015*i + 43136015*i - 1 - 5*i**2 - 21568000*i.\nAnswer: -5*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 1686 divide 39599135?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 2576 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.02 in -0.3, 2401\/3, -2, 1, -4, 7?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(18) + -1 + sqrt(72)*1.\nAnswer: -1 + 9*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-65)\/(-234)*(-72)\/(-30). Put 2\/11, -2\/25, b, 1\/11 in increasing order.\nAnswer: -2\/25, 1\/11, 2\/11, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 + 58 = -u. Let n = 24 - u. Let d be (-142)\/(-3) + 4\/6. Calculate the greatest common factor of n and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 14767 divided by 3\nAnswer: 14767\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 840573 to the nearest integer?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 4 or -43.8?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 3*q**2 - 2*q + 5. Let r(s) = 8*s**2 + 2*s - 2. Let g(a) = 21*a**2 + 6*a - 7. Let f(m) = -4*g(m) + 11*r(m). What is -2*f(i) + 3*k(i)?\nAnswer: i**2 - 2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*b = 5*b - 9*b. Solve b*m + 45 = -15*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1545*l - 8 + 12 - 4 + 4307*l as h*l + w and give h.\nAnswer: 2762","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) be the second derivative of 0*u**4 + 0 + 0*u**5 + 5*u + 1\/6*u**6 + 0*u**3 - u**2. What is the derivative of i(x) wrt x?\nAnswer: 20*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 43*t**2 + 40. Let w(x) = -16*x**2 - 13. Calculate 3*q(l) + 8*w(l).\nAnswer: l**2 + 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*p - 23 = -2*g - 29, 5*g = p + 12 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -6*g. Let x(t) = -2*t - 31225905. Give x(f(j)).\nAnswer: 12*j - 31225905","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1622094549?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 939, 717, 491, 261, 27?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1137076523 by -103370593.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -11 + 7. Let q(x) = x - 2. Let n be q(6). Sort n, z, 2.\nAnswer: z, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 138, 288, 534, 882, 1338?\nAnswer: 1908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-3)\/(-18) - (0 - (-298)\/(-12)). Let b = q - -2. What are the prime factors of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 456\/1118 + 602\/(-25886).\nAnswer: 5\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -409.\nAnswer: -122.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 9858973 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/(((g*g**(-5))\/g)\/g)*g)\/g**(-1\/7)*g**6*g**(-3\/8))\/(g*g*g**(-4)*g**(-1\/2)*g)**19 assuming g is positive.\nAnswer: g**(2367\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 564310714 divided by 1303258.\nAnswer: 433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) be the third derivative of -l**5\/60 - 3*l**4\/8 - l**3 + 5*l**2. Let o be f(-8). Solve -4*z + 14 = -o for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-28)\/(-28)*(-28)\/7*8\/96*-39?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l**5 - 12435*l**4 + 49723*l**3 + 12435*l**2 - 49724*l = 0. Calculate l.\nAnswer: -1, 0, 1, 4, 12431","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 2850619 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -29*w**2 - 151*w**2 + 70*w**3 + 24*w**2 - 45*w**2 - 108*w**2 wrt w.\nAnswer: 420","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 3 = -0. Let j(a) be the first derivative of a**2\/2 - a - 2. Let i(z) = 3*z**2 - 3*z + 2. Let q = 227 - 228. Calculate l*j(n) + q*i(n).\nAnswer: -3*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = 5*a**2. Let u(h) = 2*h**2 + 8*h. Calculate o(u(s)).\nAnswer: 20*s**4 + 160*s**3 + 320*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-9 - -11 - 2) + -4 + 14 + 1?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**4 + 2477 + 272*p - 9*p**3 - 264*p**2 + 89*p**3 - 2569.\nAnswer: 4*(p - 1)**3*(p + 23)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - l - 2 = -2*l, -a - 5 = 2*l. Suppose -z + 4*u + 4 = 0, 5*z + 8*u - a*u = 20. Solve -z*k = -0*k - 12 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5281309531?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -2*r**3 + 13*r**2 - 7*r + 7. Let x be a(6). Let j = 121\/8 + -4251\/280. Are x and j nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 254 - 135. List the prime factors of v.\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1088962 and 504?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.3 - -3.3. Let g = 9 - 7. Let f = 6.7 + -7. What is the closest to g in s, 2\/7, f?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u**5 - 20*u**4 - 28*u**3 - 12*u**2 = 0 for u.\nAnswer: -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 24211 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 495\/54*2\/(-3) + 6. What is the second biggest value in m, -0.1, -0.8?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = 2*t + 50. Let q = 16 + t. Let f(y) = -4*y - 10. Let l(a) = a + 3. Let u(r) = -2*f(r) - 7*l(r). Calculate u(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5656 is divided by 72?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/7, -63, 8, -3, 116, -0.5, 2 in decreasing order.\nAnswer: 116, 8, 2, -2\/7, -0.5, -3, -63","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k = 5*j - 2*j + 19, -5*k = -4*j - 22. Let n(d) = 86*d**2 - 2*d - 1. Let x be n(k). Calculate the common denominator of 55\/12 and (-6)\/54*x\/4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 + -1 - (-10 - -4)) + -1 + (0 - 3).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000024037 to 7 dps.\nAnswer: -0.000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -158305, -61, -1, 4 in ascending order.\nAnswer: -158305, -61, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Divide 855084 by 327.\nAnswer: 285028\/109","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put together -0.03 and -49429229.7.\nAnswer: -49429229.73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 22300?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*o**2\/7 - 1106488902*o\/7 - 102026474187430467\/7.\nAnswer: -3*(o + 184414817)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 2105 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/7?  (a) 0  (b) -0.3  (c) 1065\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 14.6 + -15. Let h = 14412 - 216038\/15. Let x = 44\/5 - h. Which is the closest to x?  (a) 4  (b) p  (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 - 13*l**2 - 13*l - 24. Let n be t(-12). Let y be (0 + 1)*(n\/(-6) + -5). Is ((-2)\/4)\/(y + (-2046)\/(-684)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 11242 and 26864365.\nAnswer: 803","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*k + 28*k = 24. Calculate the greatest common factor of k and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -2*r + 29. Give s(18).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.3157497 to 2 dps.\nAnswer: -0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 201291 by -3.\nAnswer: -67097","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -119745 divided by 5.\nAnswer: -23949","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -4*k**2 - 51*k + 15. Let z be p(-13). Suppose 2*j = 4*n - 62 + 290, -5*j = z*n + 90. Are -58 and n equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**2 - 3*q + 1. Let p be l(-1). Calculate the highest common divisor of p and 12.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 c, and 1 i when three letters picked without replacement from {e: 1, r: 1, c: 2, i: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71666?\nAnswer: 2, 7, 5119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.5163 + 0.399. Let p = 0.0173 + j. What is the closest to p in 0.2, 2\/13, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 21\/65 and -61\/52.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of -h**6\/6 - 9*h**2\/2 - 7. Find the second derivative of m(s) wrt s.\nAnswer: -20*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - 3430a6?\nAnswer: -3430ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) be the third derivative of -q**4\/6 + q**3\/3 - 7*q**2. Let d(w) = -w**3 + 7*w**2 + w - 9. Let y be d(7). Give m(y).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 19*f + 7. Let h be 1*-4*11\/(-2). Let u(w) be the third derivative of 5*w**4\/24 + w**3\/3 + 3776*w**2. Give h*u(l) - 6*p(l).\nAnswer: -4*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) be the second derivative of 5*f**3\/6 - f - 61. Let u(x) = -27*x - 2. Give j(u(l)).\nAnswer: -135*l - 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 134090 less than or equal to 134094?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 91245247 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 2 + (-41 + 8 - ((-4 - -11) + -7))\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -120 in -0.4, -70, 3\/4?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 143 and 234?\nAnswer: 2574","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 6, 70, 15?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2404285939 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 - 12 = 3*j. Let t = j - -18. What is the remainder when t is divided by 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(q\/((q\/(q*q\/(q\/q**(2\/13))))\/q)))\/(q**(-11)*q))\/(q**(-2\/17))**(-38) assuming q is positive.\nAnswer: q**(967\/221)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 2763, 5412, 8061, 10710, 13359?\n\"Answer: 2649*b + 114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -5*b**2*n**3 + 11*b**2*n + b**2 + 39 wrt n.\nAnswer: -15*b**2*n**2 + 11*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 6272026 and 1931365?\nAnswer: 6547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**3 - 6*b**2 + 8*b + 3. Let r be y(4). Solve -12 = 3*p + 4*j, p + r = -0*p - j for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 105 and 1380?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -1092338 and -1092366 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7 + 4. Let p = -0.168 + 3.168. Sort -1, p, n in ascending order.\nAnswer: n, -1, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 39836, 79550, 119262, 158972, 198680, 238386?\n\"Answer: -a**2 + 39717*a + 120","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1540, -2730, -5806, -11710, -21384?\nAnswer: -35770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -3 - -3. Let p = -0.036 + -2.964. Which is the nearest to u?  (a) -4  (b) p  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10100111 - 1101011100?\nAnswer: -10000000011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 2 r when four letters picked without replacement from {r: 10, d: 10}?\nAnswer: 135\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -3*r. Let t(h) = -106*h**2. Calculate t(a(d)).\nAnswer: -954*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 9 + 19 + 8*l - 3 + 16. What is the remainder when 71 is divided by f(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*u + 295 - 576 = 423. What is the remainder when u is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4567 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -23822d - -1ca?\nAnswer: -238043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -77*q = 277*q + 4602 for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -2, 117, -44 in ascending order.\nAnswer: -44, -2, 5, 117","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -2*m**2 - 43*m + 346. What is k(-26)?\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 1313 + 201460?\nAnswer: 203103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = -9*g**2 + 16*g - 10. Let n(u) = -18*u**2 + 32*u - 20. Let x(p) = 5*l(p) - 2*n(p). Let f(y) = 4*y**2 - 8*y + 5. Let m(v) = 7*f(v) + 3*x(v). Give m(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17792 is divided by 136.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a**0)**(-1\/20)\/(a**(-5)\/a**(-1\/9)))\/((a*a**(-2\/3)\/a)\/(a*a**(-6)*a)*a**(-1\/3)\/a**(5\/2)) assuming a is positive.\nAnswer: a**(79\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 times -8\nAnswer: 0.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 10 a factor of 9283426?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 27660.79ng in kilograms?\nAnswer: 0.00000002766079","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -413, -742, -1811, -4016, -7753?\nAnswer: -13418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + 4*t + 71 = 91, 2*b = 5*t - 26. Solve -7*d + 2 = -10*d + 4*g, b*g = 2*d + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 46142004 to the nearest integer?\nAnswer: 359","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -663*f + 10352 + 8956 = -1908 for f.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (9 - (5 + 0 - -3)) + 2 - -71?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*r**3 - 105*r**2 - 280*r - 180.\nAnswer: -5*(r + 1)*(r + 2)*(r + 18)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 8177974, 8177945, 8177916, 8177887?\nAnswer: 8177858","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 31*k - 50. Let w(h) = -10*h + 17. Let g(d) = 6*i(d) + 17*w(d). Let q(l) = 3 - 1 + 0 - 3*l. Determine 2*g(c) + 11*q(c).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 2 - 3)*(-4*o + 6 - 6)*(-2*o + o - o + (0 - 3 + 7)*(2 - 2 + 2*o)).\nAnswer: -48*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = -2468*y**2 + 75*y + 8. Let w(a) = -2468*a**2 + 90*a + 9. Determine -5*w(o) + 6*x(o).\nAnswer: -2468*o**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 481 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(3\/14)*51\/34?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*p**2 - 15*p**2 - 27*p - 10*p - 11*p**2.\nAnswer: 2*p**2 - 37*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:47 PM and 2:18 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*v - 4*v = 2*v. Suppose -3*c + y + y + 23 = 0, v = 3*c + 3*y - 3. Calculate the remainder when 13 is divided by c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n - 56 = -2*z + 2*n, 2*z - 2*n - 76 = 0. Let k = z - -74. Is 23 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -39 - -46. Which is smaller: 1\/5 or s?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4208, -8414, -12620?\nAnswer: -16826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*b - 2*m = -3*b - 58, -3*m = -b - 31. Let r be (196\/(-3))\/(-7)*(-12)\/b. Solve 0 = 5*w - 3*f - r, 5*w - 4 = -5*f + 11 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 306 and 302694.\nAnswer: 15437394","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/2  (b) -5  (c) -3.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-8)\/(-6) + 1\/(-3). Let i = 313 + -221. Let d = i + -1561\/17. Is h greater than d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.3 minus -135.3421628961?\nAnswer: 131.0421628961","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 80 and 40?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((a**17*a)\/a)**(3\/2)*(a**7)**(-25))**40 assuming a is positive.\nAnswer: a**(-5980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -17 - 112. Let y = -86 + b. Suppose -2*t + 216 = 5*q, -3*t + y = q + 5. Is 11 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -7, 1\/6, 187, 2287\/5?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5587 - 63*t**3 - 2817 - 2774.\nAnswer: -63*t**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*v**2 + 27 - 78 + 20 - 36*v**2 + 31.\nAnswer: -16*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide 882 by -4.\nAnswer: -441\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 9070 + -9459. What is the closest to s in 0.4, 5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 5\/((-30)\/52)*-18. Let m be (43 - 1)\/(1260\/720). Calculate the highest common factor of m and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8720775?\nAnswer: 3, 5, 7, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 464122392?\nAnswer: 2, 3, 43, 167, 2693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 3*y**4 + 7709886*y**3 + 4953536220960*y**2 + 9907041602400*y = 0.\nAnswer: -1284980, -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s**4 + 8*s**3 - 8*s**3)*(-10 - 7 + 4 - 7) to y + o*s**3 + d*s**4 + w*s**2 + h*s and give d.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000015151 rounded to 6 dps?\nAnswer: 0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 11 + -6. Suppose y*m + 14 - 34 = 0. Find the third derivative of -b**m + 2*b**4 - b**4 + 2*b**2 - 2*b**6 wrt b.\nAnswer: -240*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**(2\/55))**(-5)*(t**(3\/5))**(-31))**(-1\/30) assuming t is positive.\nAnswer: t**(1033\/1650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 15 + 4 = 0. Let o = 21 + u. What is the derivative of -5 + h**o - 11 + 19 wrt h?\nAnswer: 2*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*v - 55 + 62 = 0. Let i(h) = -h**3 + 6*h**2 + 9*h**2 - 2 + 4 - 16*h + 16. Let m be i(14). Sort m, v, -1 in decreasing order.\nAnswer: v, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 20 and 2138?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25\/4 of a year?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 8) in base 12?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 - 9 = 4*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = 9*i**2 + 4*i + 4. Let l(c) = -125*c**2 - 55*c - 55. Determine 4*l(k) + 55*z(k).\nAnswer: -5*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -80*f**3 - 957*f**2 - 413*f - 5388. Calculate w(-12).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -7 - (2 + (4 - 10)). Let x = p - -1. What is the common denominator of -31\/2 and 14*(36\/16 + x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 - (-2 + 0) - (-13 - ((18 - 28) + -30))\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -3*r**3 + 10*r**2 + 76*r + 125. Calculate z(-3).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ne when two letters picked without replacement from {b: 7, e: 2, n: 3, y: 8}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 2660854349 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -950 - -1988. What is the remainder when g is divided by 40?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-4)\/6 + 232\/24. Suppose 0 = 4*v - p - 7. Suppose -4*l = v*j - 44, -5*j - 3*l = -15 - 32. Which is smaller: 8 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 240*u - 13 - 242*u - 13. Let g be o(-12). Let t(n) = 2*n**3 + 2*n**2 + n + 4. What is t(g)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 15 and 6.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2136 - 6287\/3. Let h = j + -39. What is the biggest value in -2, 1\/3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -96 + 1761735?\nAnswer: 1761639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*x = 2*k - 4, -6*x = -9*x. Let i = 0 + 0. Put k, 1, i in descending order.\nAnswer: k, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12, -20, -26, -30, -32?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c - 7 = -4. Suppose d + 3*z + z - 48 = 0, -c*d + 5*z + 76 = 0. Does 16 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5872000 rounded to the nearest one million?\nAnswer: 6000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 109*f - 118 + 336 = 0 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in -0.5, 0.09, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (313 - 313 + 188*g**2)*(-2 + 3 - 2) as p*g + k + i*g**2 and give i.\nAnswer: -188","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -1\/4  (b) 4  (c) -0.08  (d) -73\/2  (e) -1.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (-1 - -1) + (89 - 91).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 11 (base 9) in base 11?\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 7976?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 72108920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*d**3 - 1883*d**2 + 32806.\nAnswer: 9*d**2 - 3766*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4\/7, -0.11, 44, 32?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = k - 3. Let h(b) = -2*b + 2. Suppose 0 = -p + 4 + 2. Let w be h(p). Let y = 15 + w. Give f(y).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -36 - 3?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 AM and 7:43 PM?\nAnswer: 552","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*a - 411 = -426 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -245 - -248. Suppose 3*z + 0*j - 3 = -2*j, z - t*j + 10 = 0. Which is smaller: z or -15\/49?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -107, -106, -127, -182, -283?\n\"Answer: -2*k**3 + k**2 + 12*k - 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 27797452 to the power of 1\/5, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:37 PM and 2:28 PM?\nAnswer: 51","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add together 1166 and -173217354911.\nAnswer: -173217353745","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*k**4\/23 - 8950*k**3\/23 - 204524*k**2\/23 + 1192800*k\/23 - 1495872\/23 = 0. Calculate k.\nAnswer: -4452, -28, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = 44*g**3 + g**2 + g - 2. Let b be v(1). Calculate the greatest common divisor of b and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 535219 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 396 and 3219030.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -17, -4, -31, -1, 1 in increasing order.\nAnswer: -31, -17, -5, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -1302331 (base 5) to base 7\nAnswer: -133611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -6*i - 28 + 5*i + 12 + 4*i + 0*i. Suppose -2*l + 11 = -3. Let d be g(l). Solve -d*u - 25 = -0*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p + 530*z + 11 = 528*z, -4 = -3*p - 5*z for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) = h + 1. Let v = 30896 + -30897. Let l(d) = 10*d + 2. Calculate v*l(k) + z(k).\nAnswer: -9*k - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16 = -4*c - 4*i, i - 10 + 0 = -3*c for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -2\/11  (b) 2446.16  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-355012)\/(-2454)*(-15)\/(-155)?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 6 - 4. Suppose j*w = 2*x + 3*x + 15, -3*w - 3*x = -12. Suppose -l + v + 3 = -4, -5*v = w*l - 5. Solve -2*o + 8 = 4*i, -i + 8 = l*i + 2*o for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (21403450\/75)\/(-29)*-9?\nAnswer: 2, 3, 29, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 + (-6 - -3 - 4 - -7).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-11100)\/1385 + 2 - (-1)\/4. Let n = 4\/277 + t. What is the common denominator of n and (-27)\/63 + 54\/28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -q**2 + 2*q - 4. Let l be t(3). Let c = l + 10. Solve 12 = -0*a - c*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 4\/6*54\/9. Let z = 10 - d. Calculate the remainder when (3 - 22\/z)*-9 is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -5*z - 68. Let i be q(-14). Determine s so that -2*s**3 + i*s - 7*s + 11*s + 4 = 0.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 4 = 5*w - 19, -3*q = -4*w + 12. Let f(m) = m**3 - m**2 - m - 3. What is f(w)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) be the second derivative of 1\/9*j**3 - 1\/30*j**5 - 11*j + 1\/9*j**2 - 1\/54*j**4 + 0. Factor b(a).\nAnswer: -2*(a - 1)*(a + 1)*(3*a + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q**(-2\/7)\/q)**44*(q\/(q**(2\/5)\/q))**18)**31)**(-1\/9) assuming q is positive.\nAnswer: q**(3348\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 1\/9  (b) -4  (c) -2  (d) -0.1  (e) -8092\/23\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 - 60\/8)*(-1 - 45). Suppose 2*g = 5*g - q. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2 - -9. Let i(d) = 7*d**2 - 4*d + 14. Let l(u) = -15*u**2 + 7*u - 29. Let y(g) = 13*i(g) + 6*l(g). Let j be y(f). Is 19 equal to j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m + 16 = 0, 908*m - 1810*m + 887*m - 68 = 2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 * 366621\nAnswer: 183310.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 - 12*z + 15. Let b be f(11). Suppose -y - 5*v = 737, -4*v - 5 = v. What are the prime factors of b\/(-3) + y\/(-9)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 207c4c3 + 33?\nAnswer: 207c516","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*p + 0*p + 0*p - 1 + 1 - p + (-p + 3 - 3)*(-1 - 1 + 0) + 0 + 0 - 2*p + (-1 + 1 + 1)*(4 - 4 - 2*p) + 30*p + 8*p - 5*p in the form s + w*p and give w.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2410302803 a multiple of 1526?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y - y = -k - 20, -3*y + 28 = k. What is the remainder when 22 is divided by y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -412, -410, -406, -400, -392, -382?\nAnswer: -370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 109132 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 56 and 184744?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-4*p + p + p)*(p + p + 0*p) + (-2 + 20*p + 1 + 3)*(18*p + 8*p - 16*p) to k*p + v*p**2 + g and give v.\nAnswer: 196","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 12021707 a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2346?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Express (64 + 213 + 549)*(0*n - n + 2*n) as a + o*n and give o.\nAnswer: 826","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 1.296 + -0.226. Let u = -0.07 + a. What is the nearest to u in -3, -0.5, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 19652986565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 32*f - 27*f + 14, 1 = 3*w + f. Let r be (-4)\/18 + (-755)\/(-3600). Is w bigger than r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.679 in -5\/4, -0.2, -23?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39*l + 388 + 87*l + 513 + 103.\nAnswer: 126*l + 1004","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -575000*g**2. Let u be f(2). Round u to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*f - 37945 + 217621 = 0. What is the thousands digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2277665 a multiple of 67?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.138604 rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10133*c = -10129*c - 4*g - 24, 5*g + 24 = -c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v*v**(1\/2))\/v**(-2\/9))\/(v*v**1*v\/((v\/v**(-1\/3))\/v*v))*(v\/(v*v*v*v**(-3)*v)*v*v**(-2\/25))**(-35) assuming v is positive.\nAnswer: v**(-2893\/90)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*l - 4*l - 38*l + 36*l.\nAnswer: -l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 2*h + 14. Let p be n(-7). Suppose p = -2*x - 62123 - 37877. Round x to the nearest 100000.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (55\/(-20))\/(1\/(-4)). Suppose -7*b + 23*b - t*b = 0. Factor 0 + b*w**2 - 1\/9*w**4 + 0*w + 1\/9*w**3.\nAnswer: -w**3*(w - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 8\/12 + (-2)\/4. Let f(d) be the third derivative of -1\/24*d**4 + 3*d**2 + 0 + 0*d - q*d**3. What is the first derivative of f(c) wrt c?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/3?  (a) -1\/2  (b) -298\/3  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -4.6 - -4.7. Which is the closest to -0.1?  (a) -5  (b) 1\/4  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-20 - (-77 + -15 + 4 + 15))?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: ((-3)\/((-36)\/(-320)))\/(-6*(-85)\/(-612))\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*m + 3*a - 26 - 53 = 0, -2*m + 38 = -2*a. Suppose 0 = 6*c + m + 1. Let h(s) be the second derivative of -s**3\/6 - s**2 - 2*s. Determine h(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qcx when three letters picked without replacement from xcqtgqtqggq?\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1197 or 1198?\nAnswer: 1197","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 114\/95 + (-46)\/30. Let r = -8.7 - -8.9. Put r, 4\/5, n in decreasing order.\nAnswer: 4\/5, r, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-780)\/126)\/13)\/(-2)*(8\/(-10) - -2)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -51443023 or -51443022?\nAnswer: -51443022","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 6768559 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence urr when three letters picked without replacement from {d: 2, r: 5, u: 4, f: 4, g: 4, a: 1}?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1?  (a) 2\/71  (b) 2\/21583  (c) 3  (d) -2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 34836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -12355 (base 8) in base 7?\nAnswer: -21422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 168885560?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*x**2 + 0*x**2 + x**4)*(-1 - 3*x + x - 1) + (-3 + 3 - 4*x**2)*(-5*x**3 + 0*x**3 + 2*x**3) + 77*x**5 - 112*x**3 + 112*x**3.\nAnswer: 87*x**5 - 2*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -740\/7 + 70. Let d = k + 36. Let f = 4.6 - -0.4. Which is the closest to f?  (a) -2\/3  (b) d  (c) -4\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 1106 and 1108 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = 3 - 15. Let z(b) = 288*b - 574. Let o be z(2). Suppose -o*v + 137 = r*h, 3*h - v - 17 - 108 = 0. Does 6 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 13*k - 524 = 24*l + 76, -3*l - 5*k = 93 for l.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 186 is divided by 32?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r**7*r**6)\/(r**(4\/3)*r*r\/r**(-5)) assuming r is positive.\nAnswer: r**(17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor i**2 - 62*i + 961.\nAnswer: (i - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(i) = -442*i + 46. Let t(z) = 221*z - 21. Let y(p) = 6*d(p) + 13*t(p). Let g be y(1). Which is smaller: g or 225?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2107b + -117?\nAnswer: 20c64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {d: 2, x: 1, j: 3, y: 1, v: 1, i: 3}. Give prob of sequence dvj.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -26*q**2 + q. Let x(v) = v. What is s(x(d))?\nAnswer: -26*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14 = 4*y - f, -18 = -3*y - 0*f - 3*f. Suppose -79 = -3*n - m, 0 = n - 5*m - 25 + y. Is 18 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(w) = -w**3 - 5*w**2 + 4*w + 11. What is the tens digit of d(-6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 99 and 4884?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 857*t**3 - 794*t**3 - 465 + t**2 - 1276*t**3 wrt t?\nAnswer: -3639*t**2 + 2*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, h: 2, c: 2}. What is prob of sequence ww?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 37700301 divided by -477219?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 210 and -2888?\nAnswer: -606480","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(250)\/(sqrt(405) - sqrt(5)))\/sqrt(10) - ((sqrt(50)\/(sqrt(50)\/sqrt(5)))**2 + (sqrt(50)\/sqrt(5))\/sqrt(2))).\nAnswer: -20 - 7*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -8*j**2 - 3*j - 5. Let z(l) = 15*l**2 + 5*l + 10. Suppose 16*p - 22 = 14*p. Let b(s) = p*d(s) + 6*z(s). Is b(-8) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(x) = -12 + 3 + 7*x - x - x**2 + 10. Let s be d(5). Solve -s*b - 10 = -b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17.88 - -0.12. Let d = m - 17.6. Sort -0.2, -3\/17, d in descending order.\nAnswer: d, -3\/17, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:35 AM and 1:17 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zzeezez. Give prob of sequence eee.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -p**3 + 14*p**2 + 15*p - 17. Let f be n(15). Let v = -13 - f. What is the second derivative of 5*h**2 + 0*h**2 + h + h**2 - v*h**2 wrt h?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t such that -5*t**3\/3 + 4970*t**2\/3 = 0.\nAnswer: 0, 994","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -44*w - 4. Let j be b(2). Let l = 138 - j. Does 38 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18*f + 118 = 10. Solve 0 = -f*l + l + 15 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 470, 793, 1324, 2057, 2986, 4105, 5408?\nAnswer: 6889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-48)\/11*((-1060)\/15 + 67).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1 - -2. Let h be (-15)\/6*19\/7220*19. Sort h, 0.5, n in increasing order.\nAnswer: h, 0.5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1384891309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 61554 and -1.1.\nAnswer: -67709.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = 5*u**2 - 2*u - 2. Suppose 0 = -4*b + 16, -5*o + b + b + 2 = 0. Is n(o) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5 + (-130)\/(-25))\/(1\/5). Sort 7, -3, 0.4, v.\nAnswer: -3, 0.4, v, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = -8*y**2 - 3*y + 3. Let p(t) = -88*t**2 - 32*t + 32. What is -32*f(q) + 3*p(q)?\nAnswer: -8*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 166 minutes after 11:37 PM?\nAnswer: 2:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0 (base 2) to base 4\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -803, -765, -703, -617, -507, -373, -215?\n\"Answer: 12*g**2 + 2*g - 817","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -t**2 - 4. Let x(c) = 100*c**2. Give d(x(y)).\nAnswer: -200*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -26 - ((-9 - (-14 - 13)) + -15).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n\/n**0)**34\/((n*n**(-1\/4))\/n)**(12\/7) assuming n is positive.\nAnswer: n**(241\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 2 m when three letters picked without replacement from {b: 4, m: 3}?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 68659.26 centuries?\nAnswer: 686592.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -187926\/7 + 27048. Is r less than or equal to 201?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 4\/18 + (-4)\/18. Suppose -f - 5*s = -6 - 9, f - 5*s - 25 = c. Solve -3*x - w = 2*x + f, 2*x - 4*w = 14 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -515 divided by -5\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 262 + -259. Let h(v) be the second derivative of v**3\/3 + v. Is h(o) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 1975870?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.8427 to 0 dps.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 21\/3 - (5 + -1). Factor 25*o**h + 56*o - 21 + 60*o**2 - 11*o + 31.\nAnswer: 5*(o + 1)**2*(5*o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12 is divided by 2\/(2 + 0)*7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -22*h - 11*h - 5*h + 28*h - 17*h + 31*h - 12*h.\nAnswer: -8*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 99706521527 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 1.498 = -1108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -821 - -817. Put 0, -5, f, 4 in decreasing order.\nAnswer: 4, 0, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 - 100011001100000011010010?\nAnswer: -100011001100000011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(c) be the second derivative of -c**5\/20 + c**4\/12 - c. Let v be x(1). Suppose -f - 3*f + 8 = v. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 2055, 2056, 2057?\n\"Answer: i + 2054","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -21 + 441200?\nAnswer: 441135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 2803, 5907, 9023, 12157, 15315, 18503, 21727, 24993?\n\"Answer: s**3 + 3097*s - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Work out 460 * -2273.\nAnswer: -1045580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 7*i**3 - 2*i**2 + 13*i + 4. Let n(y) = -14*y**3 + 3*y**2 - 27*y - 7. Let f(c) = 4*n(c) + 7*v(c). What is the second derivative of f(p) wrt p?\nAnswer: -42*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1976\/(-962) - 7 - (6 + (-1344)\/222)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a - 21 = -5*s, -9*s - a = -8*s - 9 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5206855?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 - (7 - 8) - -5 - (-96 - -35).\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -199*j - 2772 = 142*j - 346*j + 137*j for j.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) be the third derivative of r**7\/70 + r**5\/10 + 37*r**3\/6 + 4*r**2 + 43. Differentiate d(l) wrt l.\nAnswer: 12*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 573 is divided by 107?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*x + 5818 = 362. Let d = x + -246. Solve -28 - d = -6*v for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -67\/63 and -67\/6984.\nAnswer: 48888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 minus -0.11054?\nAnswer: -17.88946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2 + 4 + (sqrt(200) - (2 + sqrt(200) + -2)) + 2)*4)**2 + 5.\nAnswer: 1029","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 440*w - 441*w = -2*a + 9, 0 = -a - 10*w - 39 + 12 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:15 PM and 1:12 AM?\nAnswer: 657","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -264*d - 410*d**2 - 522*d**2 + 241*d**2 wrt d?\nAnswer: -1382","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18598 by 2.\nAnswer: -9299","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*j - 75 + 99 = 0. Let g be ((-4)\/(-3))\/((-4)\/j)*2. Let -9*l**3 - 4*l**3 + 7*l**3 - 3*l**g = 0. Calculate l.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3.61 - 11.11. Let k = d - -4.5. What is the smallest value in k, -1\/13, 3?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of ((-228)\/(-14))\/(1\/7).\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2.8 + 3.2. Which is the third smallest value?  (a) 0.2  (b) -5  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = h**2 - 7*h + 3. Suppose 5*k = 4*t + 8*k - 35, 2*k = 2*t. Let v be 1 - (-3 + t + -2). Let d be (-15 + v)\/(-2) - 1. Determine m(d).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 9\/(-27) + (-62)\/3. Let l be (-12)\/10*(-490)\/y. What are the prime factors of 2 + 42\/l + 23\/2?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.1347035 millilitres to litres.\nAnswer: 0.0001347035","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = 5*s**2 - 1. Let t be z(1). Let n be -3*8\/(-6) + 1. Let j be (-7 + 5 + -2)*(2870\/(-360) - -8). Which is the third smallest value?  (a) j  (b) n  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -x + 2648 + 15*x**2 + 18*x**2 - 29*x**2 in the form w + j*x + k*x**2 and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a + 9 = b, -5*a - 3 = -2*b + 10. Solve 0 = 4*z - 4*w + 32, -2*w = -3*z + 5*z - b for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28214 = -21*x + 13807. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 - -14. Let b(d) = -11*d + 1. Let s(y) = -5*y. Let h(o) = 6*b(o) - 13*s(o). What is h(i)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-1651)\/26)\/((-1)\/2). Suppose -5*x - 137 = -4*a, -8*a + 4*a = 5*x - d. Is 11 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that d**4\/5 + 7*d**3 + 37*d**2 + 65*d + 174\/5 = 0.\nAnswer: -29, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = g**2 - 13*g - 8. Let j be v(12). Let y = -8 - j. What is the remainder when 31 is divided by y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5283272 is divided by 46?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 1, u: 18}. What is prob of sequence utuu?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -7 by -5.\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.5, -3789, 6\/17 in descending order.\nAnswer: 6\/17, -0.5, -3789","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Round -44021207.3 to the nearest one hundred thousand.\nAnswer: -44000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*q - 11*q - 303 + 1593 + 192 = 0 for q.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 0*l - 8927 + 45611 = 0. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let w = -392 + 394. Solve -4*f = f - w*p + 15, 2*f - 8 = -2*p for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 54 + -26. Which is smaller: r or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -10374935978 rounded to the nearest 1000000?\nAnswer: -10375000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5475 by -5.\nAnswer: -1095","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -15275, -14949, -14407, -13649, -12675, -11485, -10079?\nAnswer: -8457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q + 8367 = 3*c, 4*c = q + 14910 - 3754. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:57 PM and 10:09 PM?\nAnswer: 252","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -4918 minus 706?\nAnswer: -5624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -16 + 10. Let y = 9 + w. Find the first derivative of -2*b**4 + 3*b**4 + 4 - y wrt b.\nAnswer: 4*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 1293, 2529, 3767, 5007, 6249, 7493, 8739?\n\"Answer: d**2 + 1233*d + 59","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = -k**2 + 6*k + 40. Let c be g(-5). Let y be ((-36)\/315)\/(6\/c). Let d = 203\/4 + -51. What is the nearest to y in d, -2\/15, -3?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.16 and 13.096.\nAnswer: 13.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3*1\/(-3) - -34. Suppose f + 17 = 5*p. What is the remainder when p is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 0 - 3001*d**4 + 90 - 90 + 2774*d wrt d.\nAnswer: -36012*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 36148 to the nearest integer?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 4, z: 3}. Give prob of sequence nzzz.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p\/p**(1\/5))**(1\/8)*(p*p\/p**(-2\/9))\/(p\/(p*p**(-14)\/p)) assuming p is positive.\nAnswer: p**(-4519\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 791 + -434. What is the greatest common divisor of 17 and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 + 5*d**2 - 244*d - 1957. Calculate z(-11).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 68 - (10\/80*-68 - -9)*-2?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4.1 and -40.9.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -3*j**2*v**2 - j**2*v + 142*j**2 + 32*v**2 wrt v.\nAnswer: -6*j**2 + 64","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 15703068 to the nearest ten thousand.\nAnswer: 15700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 24 + -17. Let s be 4\/10 - x\/5. Let d(j) = 2*j**2 + 2*j + 1. Give d(s).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13715 = -4*x + 13659 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1165, -2293, -3427, -4567, -5713, -6865?\nAnswer: -8023","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 - 13*j + 317. Calculate z(-32).\nAnswer: -291","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 3*a + 3*f - 7 + 4, 2*f = 2*a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-15 - -7) + (-53 - 4 - (-7 + 1)) + 16.\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 56260 (base 8) in base 3?\nAnswer: 1012112211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*l**3*t**5 - 37*l**3*t**2 - l**3*t + 585*l*t**6 + 27*l*t**2 wrt t?\nAnswer: 240*l**3*t**2 + 70200*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -436 - 580 + 150*p**3 + 1016.\nAnswer: 150*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 942.\nAnswer: 2, 3, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = f**2 + 9*f - 6. Suppose -4*v - 8 - 28 = 0. Let w be m(v). Is (-178)\/(3\/(9\/w)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -14*b + 1. Calculate the remainder when t(-5) is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) -3  (b) -7  (c) -1\/4  (d) 3.47  (e) -2\/5  (f) 7\/4  (g) -85\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -16.108 to 1 decimal place.\nAnswer: -16.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 38852985131 and -0.1?\nAnswer: 38852985131.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -6*d + 6. What is w(3)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = -13*f**2 + 4*f - 9. Let o be g(4). Let j = 78 + o. Let z = j + 256. What are the prime factors of z?\nAnswer: 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-1501)\/209 - (-2)\/11. Let y = w + 27. What is the least common multiple of y and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**3 + 13*o**2 - 17*o - 15. What is the tens digit of n(-14)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 3 + 4)*(-174*b**2 - 73*b**2 - 3*b**2).\nAnswer: 250*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = z**2 + 1655*z + 18159. What is f(-11)?\nAnswer: 75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00476293 rounded to 4 dps?\nAnswer: -0.0048","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = p**3 - 5*p**2 + 4*p + 5. Let y be h(4). Suppose -4*u + 2 = -5*a, y*a + 2*u - 10 = 6. Let l = -17.062 + 17.262. Sort l, 0.5, -1, a.\nAnswer: -1, l, 0.5, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 14\/9, 5 in increasing order.\nAnswer: 1, 14\/9, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 9 and 63599908?\nAnswer: 572399172","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*b - 2*d - 4 = 0, -b + 6*d = d - 10. Let q = b - 14. Let n = q + 29. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -47*c - 342 = 10*c for c.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 6, 3*c + 2*n - 24 = c. Let v = c - 31. List the prime factors of (2\/(-4))\/(2\/v).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 21 + 18. Calculate the highest common divisor of r and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -5*d**2 + 5910350*d - 1746611856125 = 0.\nAnswer: 591035","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**(1\/4))**(-16\/5)*(o**(-1\/3)*o)**(-7) assuming o is positive.\nAnswer: o**(-82\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/3 in -239, -11, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-5)\/5*(2 - -5). Let w be (a\/(-2))\/((-5)\/(-20)). What is the highest common factor of 126 and w?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do -8\/27 and 0.0333 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 29.965 + -30. Let o = d + -4.965. Is o at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/7, -5\/2, -0.35, 0.2 in increasing order.\nAnswer: -5\/2, -0.35, 1\/7, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*c**3 + 85*c**2 - 2*c + 68.\nAnswer: -12*c + 170","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:12 PM and 9:07 PM?\nAnswer: 115","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 11158364 a multiple of 854?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 5\/2, -38, -2, 0.1, 1, 2, 0.0931?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mmn when three letters picked without replacement from {n: 5, f: 4, m: 5}.\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -4 + 10 + -2 + (-4 - 4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 53820 and 269100.\nAnswer: 269100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 16.105 - 15.7. Round b to 2 dps.\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3053312?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 133503 and 21.\nAnswer: 934521","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 45655.\nAnswer: 5, 23, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s - 1 = -4. Is 10 a factor of 10\/((-7)\/(-5) + s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 0.3  (b) -4  (c) -0.1  (d) -3\/5  (e) 17.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*s + 3 - 3)*(-10*s - 109 + 109) + (6*s - 2*s - 2*s)*(0*s - 2*s + s) to the form i + y*s**2 + w*s and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(833) + -4 + sqrt(833) + 1 + 0 + (sqrt(153)*1)\/sqrt(9))**2.\nAnswer: -90*sqrt(17) + 3831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 79*c - 65 - 330 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 293 + 8*i**2 - 293 - 54*i + 7*i**5 wrt i?\nAnswer: 140*i**3 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (4\/(-2) + -3)*-1. Suppose 0 = u*g - 5*x - 35, 8 + 17 = -5*x. What is the units digit of g?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 136507524?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*v - 2*v + 3*v = -11*q + 88, 0 = -18*q + 13*q + 2*v + 40 for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (-24 - -17)\/(-42)*3384\/48\nAnswer: 47\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5.28 - -6.43. What is g rounded to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o - 1. Suppose 2*c = 10 - 0, -2*c = -p - 4. Let v(r) be the second derivative of 2*r + 1\/2*r**3 - 3*r**2 + 0. Determine p*y(h) - v(h).\nAnswer: 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 41, -173, -387, -601?\nAnswer: -815","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) be the second derivative of -t**8\/6720 + t**7\/630 + t**6\/144 - t**5\/60 - 5*t**4\/12 - 2*t. Let i(v) be the third derivative of p(v). Determine i(5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilogram in grams?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.2927 to 2 dps.\nAnswer: -0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12*k - 26 = z - 7*k, -5*k - 14 = -z for z.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000007143913 to 7 dps.\nAnswer: -0.0000071","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 times -331.9?\nAnswer: 66.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 8664 + -9093.7. Round n to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) be the first derivative of u**3\/2 - 2*u + 1. Let p(r) be the first derivative of g(r). What is p(-1)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1801\/245 + -12\/245. Let c = 7 + j. Is -5 bigger than c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -4*n + n + 2*n**2 + 2 + 0*n + 0*n**2. Is d(4) a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 86*s - 168*s + 511*s + 37*s.\nAnswer: 466*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**3 + 12*t**2 + 2*t - 3. What are the prime factors of y(11)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) = 5675*k**3 + 2*k**2 - 4*k + 3. Let p be w(1). Suppose 3462 = 6*f - p. Is f prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4597737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 q when three letters picked without replacement from {q: 3, v: 7}?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -154967 divided by -6.\nAnswer: 154967\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = 200 + 0*v + v + 6*v - 200. Let s(m) = 54*m. Give f(s(i)).\nAnswer: 378*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.046 in 0.004, -1.4, -1\/5?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(((-3)\/3)\/(-4)). Let d = 24 + l. Suppose 0 = 3*j + 2*r - 39 - 20, d = -4*j - 5*r + 67. List the prime factors of j.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -15*f**3 + 3*f**2 - 2. Let r(s) = 15*s**3 - 2*s**2 + 5. Give -2*o(k) - 3*r(k).\nAnswer: -15*k**3 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 323 divide 3886982?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -5786 - -75216\/13. What is the closest to -1292 in -0.3, o, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 26 - 33. Does -39\/7 = t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 48660399*t*z**3 + 7001*z**3 - 2*z**2 + 10*z + 38 wrt t?\nAnswer: 48660399*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 104 - 110. Calculate the remainder when 18 is divided by ((-8)\/l)\/((-14)\/(-105)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(r) = -2*r**3 + 6*r**2 + 6*r + 6. Suppose f = 6*f + 20. Let l be u(f). Suppose -2*j + v = 4*v - l, 412 = 4*j - 2*v. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 278 minus 0.4?\nAnswer: 277.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, y: 1, g: 2}. Give prob of picking 1 y and 1 r.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 323105514 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45*g**4 + 215*g**3 + 50*g**2 = 0. What is g?\nAnswer: -2\/9, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 0. Let t be 1\/o + (0 - -2). Suppose t*y = -4*k + 124 + 69, 5*k - 4*y = 249. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -11375.4 + -1331.\nAnswer: -12706.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-19 - -2) + (-1 - -11)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 83*v + 4*v**2 + 0*v**2 - v**2 + 75*v - 43*v as w*v**2 + h*v + m and give w.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 4272, 8453, 12632, 16809, 20984, 25157, 29328?\n\"Answer: -q**2 + 4184*q + 89","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2718?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -0.3, 0.5, 0.1, -0.4, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2914721513 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -4*g**3 + 12*g**2 + 4*g - 11. Let j(w) = -w**3 - 2*w**2 + 2. Give 6*j(b) + o(b).\nAnswer: -10*b**3 + 4*b + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y*y**(-1\/34)*y\/(y**15\/y))\/(y**16*y*y*y**(9\/2)))**(9\/2) assuming y is positive.\nAnswer: y**(-5283\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -12682, -12683, -12688, -12697, -12710, -12727, -12748?\n\"Answer: -2*b**2 + 5*b - 12685","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1590 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -24.9 + 23. Let x = w + -0.1. Let k = -1.9 - x. Which is smaller: 0.2 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -12.451199 rounded to one decimal place?\nAnswer: -12.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11303*i - 5177*i = -6942*i - 885786 - 368742 for i.\nAnswer: -96","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1086 is divided by 1078?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 31607 is divided by 10513?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -504  (b) 9.2  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 251208 is divided by 19323.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve x - 4 = -2*l, -3 = 85*x - 89*x + 5*l for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(a) = -69*a**3 - 6*a**2 - 5*a. Let p be n(-1). Suppose p = -3*s + 167. What is the remainder when 62 is divided by s?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2281 - 425*v + 1643*v - 2283)*(0 - 1 + 3)*(-1 + 2 - 2) + (-2*v + 0*v + 3*v)*(-1 + 0 - 1).\nAnswer: -2438*v + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -0.2, 151, 3\/41, 0.25 in decreasing order.\nAnswer: 151, 2, 0.25, 3\/41, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -34. Suppose -2*k - 162 = 18. What is the least common multiple of (8\/(-20))\/(3\/k) and q?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 3, 1447, -426, -2.\nAnswer: -426, -2, -1, 3, 1447","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -8*l + 4*l - t, 4*l + 2*t = 12. Let x = -30 + 47. Suppose -3*c = -l*s - 4*c + x, 0 = -c - 1. Is s a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q = -4*p - 20, -p = -2*q - q + 15. Find the first derivative of 44*v**q - 9 - 4*v**4 - 113*v**4 wrt v.\nAnswer: -292*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33912?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 5  (b) 3\/7  (c) 4\/5  (d) -0.07\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + s - 9 = 2*g, -2*g + 4*s - 8 = 0. Suppose -2*q = -a - 950, 926 = g*q + 5*a - 0*a. List the prime factors of q.\nAnswer: 11, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 15546235 (base 7) to base 6\nAnswer: 52151401","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 30 = -2*y, -2*y + 0*y + l = 24. List the prime factors of (y\/33)\/((-2)\/996).\nAnswer: 2, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xfzxzffzzffmfxfcx. Give prob of picking 1 f and 1 c.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.6 - -417779654301.\nAnswer: 417779654299.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 251622733 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Determine m, given that 12*m**5 + 136*m**4 + 124*m**3 = 0.\nAnswer: -31\/3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -1a53 + -9?\nAnswer: -1a5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 12617060627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33 = 65*g - 54*g. Sort 6, -1, g, -7 in descending order.\nAnswer: 6, g, -1, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 69049 and 58?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -99 - -97. Let l(h) = -7*h**3 - 2*h**2 + 3*h + 5. List the prime factors of l(k).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(m) = 1983*m**2 + 2650*m - 2654. What is d(1)?\nAnswer: 1979","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -785745 divided by 157149.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 3095311759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0  (b) -4  (c) 0.32  (d) -1\/2  (e) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from arrrprrprprarbnrrrn. What is prob of sequence rnpr?\nAnswer: 55\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 301 and 2702.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find o, given that 3*o**3\/4 - 2289*o**2\/2 - 46005*o\/4 - 28800 = 0.\nAnswer: -5, 1536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*c + 2*x - 13 = 0, 0 = 12*c + 774*x - 778*x + 32 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -696750 at least as big as -696789?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 222?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (10 - 11 - 2) + 9 + 0\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 6 divided by 6\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -29625, -30206, -31171, -32520, -34253, -36370, -38871?\n\"Answer: -192*n**2 - 5*n - 29428","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -l**3 + 11*l**2 + 12*l + 3. Let p be t(12). Let o = p + -3. Solve o = 3*v - v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the first derivative of n**4\/4 + 4*n**3 - 5*n**2\/2 + 94*n + 188. Let m be t(-10). What is the highest common divisor of 129 and m?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h + 9. Give w(5).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.5 + -2. Let w = -1 + z. Let q = 27911 + -27906. Which is the second biggest value?  (a) q  (b) -0.4  (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 15305\/654 - 62\/109. Calculate the common denominator of 130\/35*6\/3 - 4 and g.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1584) - (-4 + sqrt(1584)*2))**2.\nAnswer: -96*sqrt(11) + 1600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h - 2*q + 0*q - 4 = 0, -3*h - q = -9. Suppose 0 = 3*m - 0*m - 12. Factor 4 - m*c**4 + 18*c**3 + 10*c**4 + 38*c**h + 8*c**3 + 22*c.\nAnswer: 2*(c + 1)**2*(c + 2)*(3*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1069827?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 7120 to the power of 1\/2, to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-2)\/2 - (-1)\/(-2). Let q = 4 - 6. Let j = q - -7. Put j, w, -5 in increasing order.\nAnswer: -5, w, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45\/20 + -3)*32\/36.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*b + 3*b + 5*z, 4*b - 4*z = -8. Solve -2*u + 3*u - 1 = b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y\/y**(-6))*y*y)*(y\/(y\/(y*y**(6\/7)\/y)))\/y)\/(y\/(y\/y**(1\/6))*y**(-6)))**(-27) assuming y is positive.\nAnswer: y**(-4041\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1 or 2\/134032457?\nAnswer: 2\/134032457","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 (base 16) in base 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 106 a factor of 269227379?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -469\/6, 0, -68, 0.2, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1.3 in 0.2, -2\/17, -7\/6, -0.5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -12*l**2 + 5*l**3 - 2*l**3 - 2*l**2 - 703*l - l**3 + 709*l. Let u(n) = -n**3 + 9*n**2 - 4*n. What is 5*t(a) + 8*u(a)?\nAnswer: 2*a**3 + 2*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -4, 147 in decreasing order.\nAnswer: 147, 12, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -965.15 - -939. Let k = 0.15 + p. Let x = 25.999976 + k. What is x rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13539950 and 100.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 6*(-5 + 1*sqrt(2299))**2)*-6*-1 + -4.\nAnswer: -3960*sqrt(19) + 83642","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + d = 0, -8*h - 32 = -12*h - 4*d. Solve 3*u - c = -h*c + 9, 11 = -3*u + 2*c for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -77360897 divided by -1853?\nAnswer: 41749","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11 (base 2) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -18.8 - -5.8. Which is the second biggest value?  (a) j  (b) 5  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 + (7 + -7 - 3)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1235*d + 104 = -1243*d - 48 for d.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -7 or 3\/8?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1*11)\/(2\/(-3174)). Let j = 88457 - n. What is j rounded to the nearest 100000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 226 - (-2 - -1)*-4 - 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 6*h - 9. Suppose -6*d + 35 = -d + 5*x, 0 = d + 3*x + h. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + 3*z + 2*y + 1 = 0, -5*z = -3*y - 26. Let s(k) = -k - 6. Calculate s(z).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4342 = -121*b - 22*b - 24*b for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 10 = -f. Suppose -18 = l + 3*h - f, -3*l + 13 = -4*h. Let x = 5 - 9. Which is the closest to l?  (a) 0.2  (b) 1\/7  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2525 divided by -132.\nAnswer: -2525\/132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:30 PM and 8:40 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*n**3 - 194 + 194.\nAnswer: -4*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: (1210\/22)\/(-550)*-470\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 4 + -7. Let s = -0.55 - -0.05. Which is the closest to 0.1?  (a) 0  (b) o  (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 minutes after 2:57 PM?\nAnswer: 3:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 7623 or 2951?\nAnswer: 2951","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -i**3 - 16*i**2 - 79*i - 960. Let v be y(-15). Solve 7*h - 12*h + 5*r = v, 3*h + r - 16 = 0 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - -3 - (-16 - 4 - (42 - 48))?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = -b**3 + 15*b**2 - 5*b - 45. What is the lowest common multiple of k(14) and 1485?\nAnswer: 4455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 15878 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 + -0.8. Let i = -1.1 - -0.9. Which is the closest to 2\/9?  (a) i  (b) 3  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -6 in -217, 3, 6, 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = -4*v + 12, 0 = 8*n - 10*n - 6. Let a = 41\/10 - 3957\/970. Which is smaller: v or a?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 668*s - 481. Is a(9) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**3 + z**2 + 9*z + 6. Let h(w) = 5*w + 3. Let q(y) = -5*h(y) + 3*o(y). Is q(-2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -1  (b) -2\/23  (c) -2\/123  (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -333823, -333820, -333817, -333814?\n\"Answer: 3*v - 333826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*a - 4*a + 12, 0 = -4*u + a + 2381. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 291 and 1358?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s - 18 = -3*m, -2*s = -s - m - 2. Let k be -1*1*(-11 - -6). What is the units digit of (4\/k)\/(s\/15)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 22.0957959 to 0 decimal places.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.01026434 to three decimal places.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1461*n**2 + 16 - 103*n**2 - 16.\nAnswer: -1564*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 54376.8 + -45266. What is r rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -3*w**2 - w + 1. Let u(j) = -2*j**2 - j + 1. Let s(k) = 3*f(k) - 4*u(k). Let g(l) = 2*l + 4*l**2 - 6*l**2 - 7 + 1. Give -g(m) + 4*s(m).\nAnswer: -2*m**2 + 2*m + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 6715 and 51.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-285*a - 22738 + 22738)*(a**3 - a + a) + a**4 + 3*a**4 - 5*a**4 + (-2*a - 2*a**3 + 2*a)*(2*a + 0 + 0) + 2*a**4 - 3 + 3 - 2 + 2*a**4 + 2.\nAnswer: -286*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 66 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1381*l + 4182 = -11009 for l.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3852735.\nAnswer: 3, 5, 113, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -22 + 22. Let k = 730.7 + -728.7. What is the nearest to 3 in -4, y, k, 5?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 210 is divided by 71?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -4*(1 + 4)\/(-1). Let h be 4\/(-240)*-10 + 17\/6. Solve -h*a - c = a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -4 - 30?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sum 145.587 and 300.686.\nAnswer: 446.273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:52 AM and 12:20 PM?\nAnswer: 388","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 69*(-9)\/(1430 - -10) and -29\/100.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2\/18)\/(-4*(-3)\/(-36))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 40782 is divided by 70?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 117\/2044 and 5\/10724.\nAnswer: 782852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 * 127453494.\nAnswer: -127453494","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -52*k**2 - 42*k wrt k?\nAnswer: -104","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -2907 greater than or equal to -2907?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 11018, 18779, 26540?\nAnswer: 34301","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*i**2 + 10*i**2 - 25*i**2.\nAnswer: -4*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -434 - -434. Solve -2*c + 5*c - 15 = z for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y + 7 = i - 5, -4*y = i - 17. Let v be 33 + y - (-3)\/(-1). Let k = 20 - v. Round k to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -2*r**2 + r - 24. Give j(8).\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 476 times 4\nAnswer: 1904","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -r**3 - 12*r**2 - 8*r + 10. Let d be y(-11). Is 2*(-1)\/2 - d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -1. Let w(h) = h + 2. Let r(p) = -5*d(p) - w(p). Calculate r(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 265708 and 1835.\nAnswer: 1328540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n*n\/(n**0*n))**(-22)*(n**(1\/5)\/n*n*n)\/n**(-1)*(n\/n**4*n\/(n\/(n*((n*n**(-2\/9))\/n)\/n*n*n)))**(2\/43) assuming n is positive.\nAnswer: n**(-38423\/1935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 796 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: Collect the terms in 69*g + 140 + 37*g + 12*g**3 - 61*g - 45*g - 14*g**3.\nAnswer: -2*g**3 + 140","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63.91773ml to litres.\nAnswer: 0.06391773","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 22 - 13. Let t(a) = -s + 9 + a. Let j(f) = 9*f. Give t(j(h)).\nAnswer: 9*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111100100 - -11?\nAnswer: 111100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from zfpzpzggzgjjzfp. What is prob of picking 1 z, 1 g, and 1 j?\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 78849908 or 630799275\/8?\nAnswer: 630799275\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(x) = x**3 + 8*x**2 + 6*x - 4. Let o be c(-7). Suppose -o*g = 0, -4*r - 3*g = -2*g + 12. Let k be 3\/2*(-8)\/6. Put 4, r, k in descending order.\nAnswer: 4, k, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be ((-2)\/(-3))\/((-7)\/(-3)). Let y = 14.39 - 12.5. Let k = 0.11 + y. Which is greater: h or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 170, 168, 166, 164, 162?\nAnswer: 160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 94928?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -6*d**3 + 51*d**2 - 45*d - 18. Let h(f) = 3*f**3 - 26*f**2 + 23*f + 10. Let s(j) = 9*h(j) + 5*x(j). Factor s(b).\nAnswer: -3*b*(b - 6)*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-12)\/10*30\/(-9). Suppose 2*f = h*f - 4. Suppose 0 - 8 = f*r. Which is greater: -14\/5 or r?\nAnswer: -14\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19 is divided by 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.1 + 0.2. Put c, 0.3, -2 in ascending order.\nAnswer: -2, c, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (248\/6)\/((-2)\/(-3)). Suppose -x = 27 - p. Let a be ((-12)\/7)\/((-10)\/x). Solve 0 = -3*q + q - a for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 917476162 divided by 3881?\nAnswer: 236402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 12*w**2 - w + 4. Give h(0).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 10.7?  (a) -0.3  (b) 5  (c) -1  (d) 1.4  (e) 64\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2*c + 3)*(895*c**4 + 0*c**2 + c**2 + 581*c**4 - c**2).\nAnswer: 2952*c**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 14?  (a) 7  (b) 1.8  (c) 2\/15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((t*t**(-2\/13))\/(t\/(t\/t**(-2\/3)))*(t**(-4))**36)**(7\/4))**27 assuming t is positive.\nAnswer: t**(-350091\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = -2*c**2 + 13*c + 15. Let b be j(11). Let r be (-45359988)\/b + 2\/14. What is r rounded to the nearest 100000?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3430 and 294980.\nAnswer: 294980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-5)\/6 + (-7)\/(-14). Let w = -230 - -2068\/9. Put i, w, 2 in decreasing order.\nAnswer: 2, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 10248 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7 + 8 - 1 + 16*j**3.\nAnswer: 16*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 11237733?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 15459 + -4 + (-70)\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 minutes after 9:12 AM?\nAnswer: 10:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 4 = m. Let v = 10 + -29\/3. What is the nearest to v in -3\/4, -2\/7, m?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/6 - (221\/(-26) - 1 - -11).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 6.159587 * 0.3.\nAnswer: 1.8478761","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 12\/(-2)*2\/(-6). Let w be -1*z - (-8 + 5). Which is smaller: 1\/2 or w?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2 - 2 - -1)\/(3\/(-6343)). Let m(k) = -36*k + d*k - 5 + 340*k - 382*k. Let h be m(-3). What is h rounded to the nearest 1000?\nAnswer: -19000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.2916 + -0.0084. Sort -14, -3\/7, z in decreasing order.\nAnswer: z, -3\/7, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3457605 to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 2*t**3 + 3*t**2 - 4*t + 2. Is h(2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9 = -4*z + 39. Let u be (-3)\/2*(-16)\/z. Find q, given that -5*q - 2*q**4 + 3*q - 1 - q**4 + 2*q**3 + 4*q**u = 0.\nAnswer: -1, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jljjjjjjjlj. Give prob of picking 1 j and 1 l.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3089*i**2*s**3 - 11127*i**2 + 3*s**3 + 1 wrt s?\nAnswer: 9267*i**2*s**2 + 9*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 202*w - 476 = 236*w + 68 for w.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = 14*o - 25*o. Let n(f) = -f**3 + 7*f**2 - f + 10. Let a = -13 - -20. Let i be n(a). Solve 0 = 4*k - 5*v - 19 - 2, i*v = -o*k + 5 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 0*x - 3*x**3 - 1 + 2*x**3 + x. Let m(g) = -100*g - 439. Let q(o) = 2*o + 9. Let z(r) = -2*m(r) - 98*q(r). Give 4*v(a) - z(a).\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:45 AM and 3:55 AM?\nAnswer: 10","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that 27*d**4 - 56154*d**3 + 267753*d**2 - 161826*d - 49800 = 0.\nAnswer: -2\/9, 1, 4, 2075","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(340))\/sqrt(10))\/((2*sqrt(18))\/sqrt(9)))**2*-4.\nAnswer: -153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 4, 3\/8, -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -94*n**2 + n + 2 + 33*n**2 - 1. Let t(z) = -122*z**2 + 2*z + 2. Let c(q) = -7*h(q) + 4*t(q). Find the second derivative of c(v) wrt v.\nAnswer: -122","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 + (-9 - (92 - (43 + -17 + -10)))\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 54\/8 + -3 + 2\/8?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2?  (a) 1  (b) -3\/4  (c) 1\/7  (d) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + -349?\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -16 - (33 + -55 + 14)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -467 + -2635442?\nAnswer: -2636020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -801*d**3*j**3 - 636*d**3*j**2 - 2*d**3 wrt j.\nAnswer: -4806*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6644 divided by 5.\nAnswer: 6644\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in 6, -4\/3, -1, -49?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) = -5*x**2 + 3*x**2 + 0*x**2. Let v(s) = 3*s**2 + 0*s**2 + 0*s**2. Calculate v(p(b)).\nAnswer: 12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) = -x**2 + 18*x + 1. Let z be h(18). Suppose 3*q - 31 + z = 0. Suppose 13*k = 11*k - q. Is k < -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = m - 3. Suppose 3*q = -18 + m. Which is the third biggest value?  (a) 8\/3  (b) q  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-18))**9)**(-1\/37) assuming z is positive.\nAnswer: z**(162\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -4258676, -8517350, -12776024?\n\"Answer: -4258674*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 90413.44ml?\nAnswer: 90.41344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 50150223 (base 7) to base 14\nAnswer: 79d24a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from {u: 3, j: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -330179*o**3 - o - 127196 wrt o.\nAnswer: -1981074*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 856824029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2*7\/((-245)\/10).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.859367 rounded to 1 dp?\nAnswer: -8.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, b: 6, d: 1, w: 9}. What is prob of picking 1 w and 1 d?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7690576 is divided by 1945?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(28) - (-3*sqrt(2268))**2.\nAnswer: -20412 + 2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-10)\/(-75) + (-4756)\/(-3480). Factor -h*m + 3\/2*m**4 + 3\/2*m**3 - 3\/2*m**2 + 0.\nAnswer: 3*m*(m - 1)*(m + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -758900616 + -1.1.\nAnswer: -758900617.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -5205621994 less than -89?\nAnswer: 5205621905","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 8*d - 1 + 3*d**2 - 8*d + 5*d**2 to the form z*d + s*d**2 + i and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) 0.4  (b) 0.2  (c) -1225  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 35 - 3. Let b(w) = 2*w - 8. Let d = 6 - 0. Let r be b(d). What is the highest common factor of n and r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, -3, 30, 4, -38 in descending order.\nAnswer: 30, 4, 1, -3, -4, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (10 + 168\/16)\/(-2). Which is the second smallest value?  (a) 0.3  (b) 0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*a + 3*a**4 + 3*a - 28*a**2 - 28*a**2 + 63*a**2 to h*a**3 + r*a**4 + f*a**2 + o*a + q and give r.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**(-3\/5)\/r**(-13))**(-19) assuming r is positive.\nAnswer: r**(-1178\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(108)*3 + 4)*-6)**2 + -2*(-5 + sqrt(3) + (sqrt(3) + 0 + 3)**2))*-3.\nAnswer: -106662 - 15510*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 462412 to the power of 1\/3, to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -6*s**3 + 727*s**2 + 2108*s + 1. Determine p(124).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j = 3*b - 117, -b - j = -4*j - 23. Suppose 8*i - 11 + b = 0. Let q be i - (3 + (-45)\/6). What is the biggest value in q, 4, 1\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-18)\/(-81))\/(20\/(-30)). Let g = -0.8 - -1. Let u = 1 - 0.7. Which is the second biggest value?  (a) x  (b) u  (c) 2\/13  (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 813 + -5695\/7. Let y = -2 - -4. Sort -0.4, -1, y, w in ascending order.\nAnswer: -1, w, -0.4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q + 3*h + 30 = 0, h = -5*q - 2*h. Suppose q*u - 10 = -2*u. Let t = u - -97. Does 11 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 3\/40 of a centimeter?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of 10400, 10420, 10440?\n\"Answer: 20*h + 10380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 5182179 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*j - 10*j**2 + 26*j - 17*j.\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11*1.63.\nAnswer: 17.93","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -5 - (-10 - -5 - -2)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(x) = -3*x - 6 - 3 + 27*x**2 + 7. Let b be o(-2). Suppose p = -p + b. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 298075563, 298075567, 298075571, 298075575?\nAnswer: 298075579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 9 + 19 - 68*z + 69*z - 1.\nAnswer: z + 38","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 + q**2 + 4*q - 3. Let v be n(2). Let u = 541\/390 + 137\/39. What is the common denominator of u and v\/(-4)*29\/(-2)?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -313638214 divided by -5\nAnswer: 313638214\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*r + 3*x + 54 = 0, 0 = -3*r + x - 10239 + 10263 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 c, and 1 i when three letters picked without replacement from qbificxqb?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 125053 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*z**2 + 2*z - 2*z + (z + 4*z - 3*z)*(2*z - 3 + 3) - 689 + 689 + 19*z**2 + (-3 + 3 - z)*(-z + 0*z + 0*z).\nAnswer: 22*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -15153*l**2 - 5*l + 1896.\nAnswer: -30306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 + 4 + (98 - 109) + 1 + 2.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.15 in -0.4, -0.5, 3?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 12) in base 6?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3 + 24. Calculate the remainder when 2 - -18 - 12\/(-4) is divided by ((-182)\/y)\/(6\/(-9)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 133, -28 in ascending order.\nAnswer: -28, 3, 133","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 7*m - 132. Let j be w(18). Let p(d) = -6*d + 1. Calculate p(j).\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-x - x + 4*x)*(-5*x - x + 4*x) + (2 + 3 + 0)*(-x**2 + x**2 + 5*x**2))*(-149*x + 149*x + 4*x**2).\nAnswer: 84*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 7*i - 28. Let u(b) = 2*b + 1. What is m(c) + 3*u(c)?\nAnswer: 13*c - 25","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 2, e: 1, f: 2, x: 1}. What is prob of sequence xe?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 7782 to the power of 1\/2, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (18\/(-12))\/(1\/(-4)). Suppose -5*v = -b - b - z, -3*v - 4 = -5*b. Suppose 46 = 2*s + 4*i, -v*i = -7 - 1. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 386317?\nAnswer: 37, 53, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 38 - 36. Suppose -r*a = -a. Find the third derivative of x**2 + a*x**3 + 8*x**3 + 3*x**2 wrt x.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4788700, 19154851, 43098436, 76619455?\nAnswer: 119717908","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j = 2*j + 261. Calculate the greatest common divisor of 29 and j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -5 + -20?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 248049677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -19 - -8. Let k be b\/(-6) - (-4)\/24. Find the third derivative of 6*w**k + w**4 + 3*w**2 - 7*w**2 wrt w.\nAnswer: 24*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -245*f**3 - 31919685*f**2 - 45599175*f - 16285375.\nAnswer: -5*(f + 130283)*(7*f + 5)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (70 + 82*k**2 - 70)*(k + 4*k - 3*k + 3*k**2).\nAnswer: 246*k**4 + 164*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 261 - 266. Let w = 121 - 125. Which is the fourth smallest value?  (a) w  (b) s  (c) -12  (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -27 - -41. Suppose -t = -7*i - 0*i. Let d = 1 + -1.2. Sort d, -4, i in descending order.\nAnswer: i, d, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 349 a factor of 269482?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(-2 + sqrt(98)*-1 - (5*sqrt(98)*-2 + sqrt(98))**2).\nAnswer: 42*sqrt(2) + 47640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 15, 0.4, -0.06 in descending order.\nAnswer: 15, 0.4, -0.06, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that y**3\/2 + 8*y**2 + 29*y\/2 + 7 = 0.\nAnswer: -14, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -250.2 - -254. Let h = n - 3.7. Which is bigger: -0.18 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 31\/(-24)*1 + 15\/(-40).\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8954, 9068, 9192, 9332, 9494?\nAnswer: 9684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20304666311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -56\/1805 at least as big as 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 3*a*i**3 + 11365*a*i**2 - 45536*i**3 with respect to a.\nAnswer: 3*i**3 + 11365*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = v**3 + 11*v**2 - 13*v - 11. Let i be o(-12). Which is the second smallest value?  (a) 5\/6  (b) i  (c) -1  (d) -2\/15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-2)\/(-1) + 15 + -12. Let f be (1 - z)\/(598\/(-23)). What is the second biggest value in -3, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -1\/4  (b) -484  (c) -8  (d) 13  (e) 7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = 103*p**2 + p. Let d be u(-1). Suppose 5*y + d - 27 = 4*t, 3*y = -3*t + 63. What is the remainder when (1 - (10 + -7))*-19 is divided by t?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = -19*j + 8. Let o(u) = -817*u + 342. Let d(v) = -171*l(v) + 4*o(v). Let m(p) = 5*p - 5518 + 5518. What is d(m(r))?\nAnswer: -95*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify k**(-8\/5)*k*k**(6\/5)*(k*k**(-4\/21))\/(k*(k*k*k**(-9)*k*k)\/k) assuming k is positive.\nAnswer: k**(673\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4218 and 108114?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5 + 11. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 91109*w**3 - 3*w + 3*w - 84341*w**3 + (0*w**2 + 0*w**2 - w**3)*(-1 + 1 + 2) - 5*w + w**3 + 5*w + 2*w**3 + 4*w**3 - 3*w**3.\nAnswer: 6770*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 16 and 11372?\nAnswer: 45488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 55943 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-12))\/(72\/(-48)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -948993019 or -948993020?\nAnswer: -948993020","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.186 and -10.72?\nAnswer: 10.906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 1802?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yssyyzyskyoyyyyhsysy. Give prob of picking 3 y.\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) be the second derivative of f**3\/6 - 8*f + 1. Let y(s) = -21 - 4*s - 3*s + 22. Calculate y(k(t)).\nAnswer: -7*t + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = 7*v**4 + 27*v**3 + 42*v**2 - 36*v - 28. Let g(a) = -a**4 - a**3 - a**2 + a - 1. Let n = 34 + -30. Let t(d) = n*g(d) + c(d). Factor t(h).\nAnswer: (h - 1)*(h + 4)**2*(3*h + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 318 minutes after 5:59 PM?\nAnswer: 11:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) be the second derivative of -5*k**7\/21 - k**5\/20 + 3*k**4 + k + 15. What is the third derivative of f(r) wrt r?\nAnswer: -600*r**2 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in two fifteenths of a decade?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 6 divide 587444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, 0, 8, -24, 3 in descending order.\nAnswer: 8, 3, 0, -4, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -24 - ((33 - 19) + -16).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19 = o - 3*j, o - 537*j - 1 = -538*j for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Put 5, -49505, -7 in descending order.\nAnswer: 5, -7, -49505","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 677690, 1355381, 2033072, 2710763, 3388454?\n\"Answer: 677691*b - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-8 - (-8 - -16)) + 25\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 994 >= 6968\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1194 + 811. Let u = n + 1042. Suppose -236 = 3*m - u. List the prime factors of m.\nAnswer: 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be ((-2)\/(-4))\/(((-7)\/4)\/(-7)). Suppose 0 = 2*r - 3*b, -z*b = -4*r + 3*r - 1. Is 540 - r\/3*-1 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = h + 8. Let z be y(-10). Which is the nearest to z?  (a) 0.5  (b) -6\/11  (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 143\/26857830 and -43\/7125?\nAnswer: 671445750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -185077\/117 > -1583?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3058*v + 3034*v - 192 = 0 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes before 12:09 AM?\nAnswer: 11:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -137.7 + 598.067553.\nAnswer: 460.367553","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 5727561, 11455123, 17182685, 22910247, 28637809?\n\"Answer: 5727562*p - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-9) - 11\/(-3)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 285568463 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -58 - -45 - (4 - 6) - -3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = q**3 + 36*q**2 - 1539*q - 12090. Give c(-7).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 278734 - 0.47?\nAnswer: 278733.53","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {w: 15, g: 4}. What is prob of picking 3 w?\nAnswer: 455\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -519406920, -1038813842, -1558220764, -2077627686?\n\"Answer: -519406922*c + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 270 = -2*n + 72, 2*n - 162 = -4*s. Does 20 divide s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 66590*y - 2863351. What is z(43)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Determine h, given that -5*h**4\/4 - 201*h**3\/2 - 8545*h**2\/4 - 4641*h - 1521 = 0.\nAnswer: -39, -2, -2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -15*k - 81. Let v(l) = 3*l + 16. Let c(f) = -2*a(f) - 11*v(f). Let x be 6\/7*14\/(-2). Let b be c(x). Solve -b*q = -2 - 14 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3829 - -1770. Is l a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 divided by 7560930?\nAnswer: 1\/756093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 14\/117 + 89\/234. Let u = 395.562 + -396. Is x greater than u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 203130 - 10011?\nAnswer: 133113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 54 - 6 = 0. What is the remainder when 47 is divided by g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -735010 by 50.\nAnswer: -73501\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uuzu when four letters picked without replacement from {z: 7, m: 1, u: 3, s: 3}?\nAnswer: 1\/572","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in 7.271869 millennia?\nAnswer: 72.71869","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 179*k**2 + 52784*k - 6207. What is m(-295)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -2*q**2 - 4*q + 6. Calculate k(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1752 divided by 3.\nAnswer: 584","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = -b**2 - 26*b - 35. What is y(-24)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3.08  (b) 0.1  (c) 2.9  (d) 1  (e) -0.3  (f) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12 - 23 - -9) + 34 + 22.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -6 - -15. Let s be 4 - 2\/((-6)\/u). Let b(f) = 2*f - 9. What is the remainder when 24 is divided by b(s)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -61 + 123\/2. Let t(c) be the second derivative of -c**2 - 3*c + 0 - m*c**3. Differentiate t(d) with respect to d.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from utttuuttuteeeueuu. Give prob of sequence ett.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -9.5978 - -4.5978. Suppose 3*r - 3 - 12 = 0. Sort r, 0.3, t.\nAnswer: t, 0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = 2*m**3 - 8*m**2 + 13*m - 2. Let q be i(7). Let j = q + -309. List the prime factors of j.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 46*y + 88*y - 1840 = 54*y. Let h(k) be the first derivative of 0*k**2 - y - 37\/3*k**3 - 20*k. Differentiate h(t) with respect to t.\nAnswer: -74*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -878 - -877.9413. Let v = -0.1298 - l. Round v to 2 dps.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*h + 3*h + 3*h)*(-2*h**2 + 2*h**2 + h**3) - 3*h**4 + 6*h**4 - 4*h**4 + (-2*h**2 + h**2 + 3*h**2)*(2*h**2 + 1 - 1) - 3*h**4 + 0*h**4 + 4*h**4.\nAnswer: 3*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.0878 and 0.0851.\nAnswer: -0.0027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -19*m - 3*m = 198 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/42 and -103\/8802366.\nAnswer: 61616562","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 3731036770 to the nearest 1000000.\nAnswer: 3731000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -b - 2 + 4. Let v = b - -2. Suppose 0 = h - 3*h + 4*k + 116, v*h - 212 = -2*k. What is the tens digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*r + 25, s - 28 = 5*r - 3. Let p = -44357 - -44362. Solve -p*q = 15, s = -l - q - 2*q - 8 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 7 in 4, 3\/4, -12, -1?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/((-50)\/(-36)) - 4.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -601254, -1202506, -1803758?\n\"Answer: -601252*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -14 in 60, 3\/8, -0.5, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(120)\/(sqrt(10)*-1) - (sqrt(12) - sqrt(432)*1))**2*-2 + (sqrt(27) - -2*sqrt(27)*-2)\/((sqrt(9) + sqrt(18)\/sqrt(2))*4) + 2.\nAnswer: -382 - 3*sqrt(3)\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 930 and 2430?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = w, 44*i + 3*w = 40*i - 179. Suppose -2*s - u = -0*s - 5, -3*s + 2*u = -18. Is ((-20)\/(-16)*s)\/((-1)\/i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 49 + 126*h**2 - 7*h - 12*h + 148*h - 49 wrt h.\nAnswer: 252","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = 39*j**3. Let z = 128 + -133. Let s(d) = 11*d**3. Determine z*u(x) + 18*s(x).\nAnswer: 3*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**2 - 15*d + 35. Suppose 3*r = 2*n - 119, -5*n - 4*r - 20 + 306 = 0. Let b = -79 + n. Is v(b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 70*f**2 - 6*f - 5. Let h(q) = -q**3 - 6*q**2 - 6*q + 4. Let w be h(-4). Is c(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) be the first derivative of -m**3\/5 + 9*m**2\/2 - 168*m\/5 + 232. Factor y(f).\nAnswer: -3*(f - 8)*(f - 7)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -660 = -8*y - 7*y. Let c be (0 + y\/12)\/((-1)\/(-18)). What is the greatest common divisor of 44 and c?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (2\/(-3) + 80\/12)*-2. Let i be (1 + 4\/c)\/(2\/(-3)). Let b(o) = 6*o - 1. Calculate b(i).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a litre in millilitres?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.19 - -0.32. Let a = 998 + -992.87. Let s = u - a. Is s greater than 0.3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(i) = i**3 - 28*i**2 + 48*i - 984. Determine p(27).\nAnswer: -417","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.4, -38\/7, 38 in ascending order.\nAnswer: -38\/7, -0.4, 38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:19 AM and 12:05 PM?\nAnswer: 166","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) be the third derivative of 7*v**5\/20 + 4*v**3\/3 + 10*v**2. Let q be b(6). Let f = -2864 + q. Round f to the nearest one thousand.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 10870?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 8777730 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) = 5*h + 4. Let d(j) = -4 - 1 + 16 - 4 + 4*j + 5*j. Give -3*d(s) + 5*l(s).\nAnswer: -2*s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60648674?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 826?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -165 + 1998. What is the highest common divisor of 39 and j?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = -2*n**2. Let i(p) = p**2 + 21*p - 97. Let y be i(-25). Let c(b) be the second derivative of 6*b + 0*b**y - 3\/4*b**4 + 0*b**2 + 0. Give s(c(h)).\nAnswer: -162*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 7.3. Let m(z) = -7*z - 43. Let i be m(-7). Let k(n) = -7*n + 36. Let y be k(i). Which is the third biggest value?  (a) 0.1  (b) p  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 84573965?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 3*l**2 + 10 + 23 + 26*l - 4*l**2. Let x be d(27). Suppose -2 = -b + 4. What is the highest common factor of b and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (144\/(-3) + -4)*-1. Let z = -40 + k. Solve 4*n = n + z for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12 - 1) + -93 + 58 - -10 - 1\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -17, 2\/9, -35?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes after 3:13 PM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or 54\/25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1336*g**3*h - 4*g**3 + g**2*h - g**2 - 5944*g*h wrt g?\nAnswer: -8016*h - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -100111110111000 (base 2) to base 6\nAnswer: -234252","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1571558 - 941875. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -14102203?\nAnswer: -14102212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*a + 4*d - 33043, -41*a + 45*a = -3*d - 26453. Round a to the nearest one hundred.\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1970 - -1971. Which is smaller: 2\/1301 or u?\nAnswer: 2\/1301","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 5*u - 72. Let a be s(19). Suppose -l = 3*d - a, -3*d + 6*d = -3*l + 87. Calculate the highest common factor of l and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 - 9 = -2*t. Let c be t + -1 + 1 + 18. What is the greatest common divisor of c and 84?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*f + 442718 + 1028739. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((18\/12)\/(-3))\/((-6)\/9)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence jqks when four letters picked without replacement from {o: 3, j: 4, k: 1, s: 2, t: 2, q: 2}.\nAnswer: 2\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 minus -122?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -5 - 7*b**2 - 3*b - 2*b**3 + 2*b**2 + b**3 + 10*b. Does 22 divide j(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2856 divided by -357?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 126873 and 54.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -35 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 33 + -33 + (3 - 3) + -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (28716\/968)\/(5\/30). Let a = 178 - w. Which is bigger: a or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 15  (b) 12\/17  (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(u) = 3*u**2. Let i be s(-3). Let n be -2*(3 - (-1 + 5)). Suppose z + 2*z = n*w - 417, -1090 = -5*w - 2*z. What is the greatest common factor of w and i?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = -i**3 - 33*i**2 - 20*i - 652. Let j be w(-33). Solve 0 = -10*u + 12*u + j for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 57 + 79 + (-126 - 21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 228, 221, 214, 207?\n\"Answer: -7*t + 235","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 10281364, 10281370, 10281376?\n\"Answer: 6*j + 10281358","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 8538521 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2577 + -1127. What is the thousands digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of s**6 + 4*s**3 - 594*s**2 + 2*s?\nAnswer: 120*s**3 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 149 + -1637\/11. Let b = -0.963 - -0.063. Let l = 0.9 + b. Sort l, t, 1\/3 in increasing order.\nAnswer: l, t, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 557.53109 + -1.26109. Let c = o + -554. Round c to one dp.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 - -10. Calculate the remainder when 188\/(-2)*5\/(-10) is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1.1 - -0.9. Let d = -0.1 - t. Let f = -12 + 7. What is the closest to d in 5, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -249, -249, -251, -255, -261, -269?\n\"Answer: -s**2 + 3*s - 251","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -994c - 1631?\nAnswer: -b280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 73542737 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -44 - (-62 + 40) - (-18 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -3*o**2 - 136*o + 1608. Let v be i(-55). Suppose 0*c + 2*c = 1014. Calculate the greatest common factor of v and c.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 106*p = -355*p + 11064 for p.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 18 - 17. Let w be 1 - (x - 4 - -11). Let k be (w - (-15)\/5) + -3. Are -9 and k nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(77) - sqrt(77)*1*6) + sqrt(77)*2*2 + sqrt(77))*3)\/((sqrt(1100) + -6*sqrt(1100))*4*6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -31103 (base 5) in base 6?\nAnswer: -13220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) be the second derivative of 0*t**2 - 1\/2*t**3 + 0*t**5 + 0 - 2*t - 1\/21*t**7 + 0*t**4 + 0*t**6. Find the second derivative of r(u) wrt u.\nAnswer: -40*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3557139105?\nAnswer: 3, 5, 13, 1489, 12251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 4\/(-14) + (-7)\/(98\/332). Let p be (-16)\/v*30\/4. Solve 4*k + 4*m = 5*m + 8, k + p = 2*m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -954, -962, -968, -972?\nAnswer: -974","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of -1 - 3\/(-8 + 8980\/1124)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 4*y**2 - 20*y + 8. Calculate n(4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 5*f**4 + f**3 - 107*f**4 + 2*f**2 - f - 79*f**2 + 42*f**2. Let k(i) = -i**3 + i. Let g(p) = k(p) + n(p). What is the third derivative of g(b) wrt b?\nAnswer: -2448*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0 * 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.702971 to three dps.\nAnswer: -0.703","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v - 5*r = -3*v + 946, -2*v - 4*r + 1864 = 0. Does 36 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12 + 22. Suppose z = 2*q + 3*q. Differentiate -4*l**2 + 2*l**q + 49 - 44 wrt l.\nAnswer: -4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = -67959*n + 2514506. Give l(37).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -2*i + 1 + i + 3. Let t(n) = n - 7. Let w be t(0). What is the units digit of g(w)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((4 + -1 + sqrt(612) - (sqrt(612) + 1)*-1) + -3).\nAnswer: 1 + 12*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -966, -3770, -8444, -14988, -23402, -33686, -45840?\nAnswer: -59864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 32086, 64370, 96700, 129076, 161498, 193966, 226480?\n\"Answer: 23*j**2 + 32215*j - 152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*v + 53 = 5*v. What is the remainder when 80 is divided by v\/(-3) + -2*3\/9?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 PM and 1:10 PM?\nAnswer: 56","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -772 + 1289. Is i a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c*c\/(c*(c*c**(-6)*c)\/c))\/(c**(-2)*c)*c**(2\/33)*c\/(c\/c**6))**(9\/10) assuming c is positive.\nAnswer: c**(696\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-322)\/(-56) + (-3)\/(-24)*2. Let y(k) = -k**2 + 10*k - 2. What is y(u)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -0.071258 and 9.\nAnswer: 8.928742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -1791 (base 10) in base 9?\nAnswer: -2410","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 354?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -12824 in 2, -15, -0.8?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 519.6384 weeks to nanoseconds.\nAnswer: 314277304320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 19*l**3 - 2*l + 15*l**3 + 22*l**3 - 4*l**2 - 5 - 57*l**3. Suppose -3*y + 8*y - 85 = 0. Let s = 13 - y. Determine b(s).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 18*g - 3 = 21*g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(p) = -7*p. Let v(u) = -5 - 8 + 18*u + 4. Let x(o) = o - 1. Let f(w) = 5*v(w) - 45*x(w). Let k(c) = 5*c. Let i(r) = 6*f(r) - 55*k(r). Determine i(s(z)).\nAnswer: 35*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 468306 - -91?\nAnswer: 468397","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-4)\/(-150))\/((-12)\/(-60)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -211444 - 2?\nAnswer: -211450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m(g) = g**3 + 6*g**2 + 2*g + 5. List the prime factors of m(-5).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6\/4309031 equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express y**3 - 16*y**2 + 13*y**2 + 0*y**2 - 4 + 2*y**2 + 14*y**2 as v*y**2 + d*y**3 + w + j*y and give w.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) 2\/5  (b) 1\/5  (c) -12\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) be the second derivative of -a**7\/336 + 17*a**6\/60 - 611*a**5\/80 + 187*a**4\/8 - 363*a**3\/16 + 2*a - 421. Find x, given that u(x) = 0.\nAnswer: 0, 1, 33","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vllvvv. Give prob of sequence lv.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 times -4439.8689\nAnswer: 5771.82957","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Expand (177 - 177 - 60*i)*(3 + 14*i - 8*i + 5).\nAnswer: -360*i**2 - 480*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -3341 - -3409. What is the remainder when 95 is divided by z?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -20398 and -634?\nAnswer: 12932332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 271 - -492. What is the tens digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10\/2*(-4)\/(-30). Let p = -0.335 - -0.135. Which is the closest to g?  (a) -2  (b) 0.5  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d\/d**(4\/7))\/d)**(2\/41)\/(d**(-3\/7)*d\/d**(-8\/5)))**(-2\/23) assuming d is positive.\nAnswer: d**(6312\/33005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (k**(-20)\/(k\/(k*k\/(k\/(k**20\/k))*k*k*k)))\/(k**18*k*k**10*k) assuming k is positive.\nAnswer: k**(-28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**0)**43*r\/(r\/(r*r**6)*r)*r\/r**(-7)*(r**(-1\/2)*r**(4\/7))\/(r\/(r*r*r\/((r\/(r**0*r))\/r)))**(-4\/15) assuming r is positive.\nAnswer: r**(929\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 17 + -22 + (1 - -2) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*k - 14*k - 6*k to the form q + p*k and give p.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 52257?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7869?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15098 - 9459. Does 18 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = d**3 - 13*d**2 - 19*d + 10. Let b be z(14). Let q = 36 + b. Let m = -5 - q. Calculate the remainder when 56 is divided by m.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 43161496.\nAnswer: 2, 7, 770741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 355093 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + 1*((sqrt(48) + -5 - sqrt(3)) + -4*sqrt(12)\/sqrt(4) - (-4 + -3*sqrt(48))).\nAnswer: -4 + 11*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10410 = 700*v + 6390 for v.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*w - 14. Suppose 5*h = -2*d + 762 - 302, w*d = -2*h + 668. Let b = -108 + d. Is b a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 69*j**5 - 5*j**4 - 41*j + 5. Let o(a) = -103*a**5 + 8*a**4 + 61*a - 8. Let x(w) = -5*o(w) - 8*v(w). Find the second derivative of x(l) wrt l.\nAnswer: -740*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = 5*f + 852. Let k be 163\/f - (-12)\/18. Let a = 233\/923 + k. What is the nearest to -0.1 in -2, a, 2\/3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 6 = 10. Let h = 15 + s. Let x be (-3)\/3 - h\/(-2). Which is smaller: x or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3548849 is divided by 50?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -26764 - -26764.4. What is the smallest value in 6, t, 2\/13, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m - 8 = -4*d + 14, -d = -3*m - 9. Find the common denominator of 41\/12 and (-2)\/(12\/(-93)) + d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -364 (base 16) in base 10?\nAnswer: -868","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -43022, -43021, -43018, -43013, -43006, -42997, -42986?\nAnswer: -42973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - 5 - -2) + -95 + -1 + 13\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = 9*z**2 + 324. Let y(j) = j**2. Calculate y(s(o)).\nAnswer: 81*o**4 + 5832*o**2 + 104976","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 263 divided by -52?\nAnswer: -263\/52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -93 + 113 = 5*q, -4*s + 8 = -7*q - 2*q for s.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -5\/47 + -39\/517. Suppose -5*g = 2*h - 36 + 10, 3*g = -h + 15. What is the biggest value in 2\/5, k, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -616, 8, 0.146?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 889 and 7.\nAnswer: 889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*7\/(-63)*-9.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h - l = 7 - 21, 2*h + 3*l = 16. Suppose 0 = h*t - 6*t. Solve -s + 5*s + 4 = t for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -d - 9 = 4*t, 23*t = 25*t + 2*d for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(b) = -b**2 - 7*b - 1. Let p be q(-6). Let z(h) = -7*h - 42. Let f be z(-24). Suppose 0 = p*y - f - 4. Is y a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -62+-8390512599\nAnswer: -8390512661","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14493177, 14493160, 14493143?\nAnswer: 14493126","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 331 divide 5885585085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (1 - 3) + 6 - 27. Let j be (-6)\/9*(-1 + z). Suppose 5*d + j = 9*d. Solve 2*g = -3*m - 1, 4*m - d*g - 13 + 1 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 12 + 4 - 3*o - 18 + 5 - o**2. Let l be f(-3). Solve -l + 11 = -2*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-114)\/(-18) + 1\/(-3). Suppose -q*m = -2*m. Suppose w = -2*b + 119, m*w + 55 = b - w. Calculate the remainder when b is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -4.271 - 0.29.\nAnswer: -4.561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 249664016 divided by -2\nAnswer: -124832008","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -2772 (base 15) in base 6?\nAnswer: -103012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (-270 - -281)*2*2\/8*-2\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine w so that -4*w**3\/9 - 77536*w**2\/9 - 103360*w\/3 = 0.\nAnswer: -19380, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2725 - 2736 - (-18 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.079 + -1.921. Let v = 2.404 + -2.204. Which is the nearest to v?  (a) r  (b) 0.3  (c) -0.1  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96053?\nAnswer: 96053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d + 7. Let p(q) = 3*q - 20. Let l(c) = 11*b(c) + 4*p(c). Let i(r) = r**3 - 3*r**2 + 2*r + 2. Let j be i(3). Is l(j) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g + 99*q - 96*q = 0, q = -2*g - 0*q for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 813972 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -87827, -87828, -87829, -87830, -87831, -87832?\n\"Answer: -v - 87826","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.03 + 4.03. Let j = -3 - -2.5. Which is the closest to 0?  (a) 3  (b) k  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 121 is divided by 22.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 7.41 - 0.01. What is f rounded to zero dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4417.593966 rounded to the nearest 100?\nAnswer: -4400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 385758 and 7482?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 1519207, 3038399, 4557591, 6076783, 7595975, 9115167?\n\"Answer: 1519192*n + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 741 - 4459\/6. Calculate the common denominator of l and 2\/(-10) - (-9575)\/(-250).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.5?  (a) 0.2  (b) 2\/9  (c) 4  (d) 2\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -7924100 to the nearest one million.\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.3 and -44.5.\nAnswer: 13.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a + 5. Suppose g = -1, 21 = 3*o + 5*g - 37. Let z = o + -15. Calculate q(z).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 389.71691593 less than -0.2?\nAnswer: -389.91691593","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 2*8\/6 - 4\/6. Let c be (3\/m)\/3 + 3\/2. Suppose -c + 0 = 2*b, -2*b + 218 = 5*k. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11 - -11001001101001001000?\nAnswer: 11001001101001001011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 484 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(192) + -1)**2 + -2.\nAnswer: -16*sqrt(3) + 191","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -1082.93188 to the nearest 10.\nAnswer: -1080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence vod when three letters picked without replacement from {t: 3, m: 1, d: 1, v: 3, o: 1, c: 10}.\nAnswer: 1\/1938","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -108 - (25 - (16 + -57 + 26))?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1746\/(-2910))\/((-1)\/((-20)\/15)*(-66)\/15).\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.9076298 milligrams to kilograms.\nAnswer: 0.0000009076298","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15 = 5*c, 4*i + 28 = c + 3*c. Let v = i - -12. Factor p**v + 1\/2 + 9\/4*p.\nAnswer: (p + 2)*(4*p + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2581, 5246, 7987, 10798, 13673, 16606, 19591, 22622?\nAnswer: 25693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 381*f**4*t**2 - 214356*f**2*t**3 - 447*t**3 - t**2 + 83*t - 8 wrt f?\nAnswer: 1524*f**3*t**2 - 428712*f*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -155, -194, -233?\n\"Answer: -39*u - 116","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 - 5*g**2 + 6*g - 5. Let x be j(4). Let a be (-2)\/(1*(2 - x)). What is the derivative of -3 - 3 + 3 + 2 - a*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -3. Suppose 2*h - 1 = -5*f - 4, -5*f - 4 = h. Let w = s - h. Put 3, w, 5 in decreasing order.\nAnswer: 5, 3, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 91307.\nAnswer: 17, 41, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 15 - 10. Suppose -4*x + 24 = -4*w, 0 = -b*x - w - 0*w + 60. What is the lowest common multiple of x and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 3 + 7 - 2*t + 0*t - 13. Let d(x) = 1. Calculate d(j) + s(j).\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2313*p**3 + 4*p**2 + 14*p - 17. Let s be c(1). Calculate the highest common divisor of 178 and s.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) = -2*n - 4. Let w be b(-4). Suppose 2*g = w*p + 28, -4*p + 2 = -2. Let o be (-24)\/g*2\/(-3). Is -1\/5 equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 27\/22 + -8\/11. Let n(b) be the first derivative of -2*b + 3\/2*b**2 + 1\/16*b**4 - w*b**3 + 5. Let n(v) = 0. Calculate v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 5 - 8 = 3*t, 5*t - 15 = 4*h for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**2 - 2*t + 85. Is r(0) a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 - 18*q**2 + 21*q - 41. What is i(9)?\nAnswer: -581","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1807221 is divided by 1335.\nAnswer: 966","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o + 31*o = 6. Let l(t) = 10*t + 3 - o - t**2 + 0 + 2. Does 27 divide l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the third derivative of 29*g**9\/252 + g**5\/60 - 7*g**4\/12 - 21*g**2. What is the third derivative of i(r) wrt r?\nAnswer: 6960*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r + 17. Let d be w(5). Calculate the highest common divisor of 8 and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -85 + -121025141006\nAnswer: -121025141091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -21858658 (base 9) to base 4\nAnswer: -220132010303","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(v) = -3 - v - 2 + 3 - 3. Let j(f) = f**2 + 8*f + 5. Let n be j(-5). Let k be p(n). Solve -k*t + 2*y + 6 = -t, -5*t - 15 = 5*y for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -6\/137 + -196\/1781. Suppose -3*j - 4*w + 8 = 0, -5*j + 9*w = 5*w + 8. What is the third biggest value in -4\/5, o, j?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*a + 38*a - 9*a**3 + 33*a + 8*a.\nAnswer: -9*a**3 + 67*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 10 + 0 + 3 + -6.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t be -2 + -3 + 0\/2. Let c = -5 - t. Solve c = -2*l - h - 1, -5*l + 8 = -h for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 12*f*l**2 + 224*f - 3*l**2 + 6*l - 113 wrt f.\nAnswer: 12*l**2 + 224","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-6)\/5 - (-3 + 2). Let t = -14.168445 + 0.168445. Which is the biggest value?  (a) f  (b) 0.5  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -286*n - 2561540 = -9211326. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 869 - 869 + 227*s**3 + (5*s - 2*s + 0*s)*(-7*s**2 + 6*s**2 + 5*s**2).\nAnswer: 239*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 8, 42, 98, 176?\nAnswer: 276","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -59\/668 and 47\/41917.\nAnswer: 167668","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2 and 441814230306.\nAnswer: 441814230304","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 156351 (base 7) to base 6\nAnswer: 355433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve i = 5*i - 12, -76*a - 64 + 210 + 161 = i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppp when three letters picked without replacement from pppppppplppppxpppp.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12\/2*((-38)\/(-16) + 0)\/((-179)\/(-716)).\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) be the third derivative of 0*k + 1\/24*k**6 + 11\/4*k**5 + 60*k**4 + 640\/3*k**3 + 0 - 17*k**2. Find w such that v(w) = 0.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -24, -260, -662, -1236, -1988, -2924, -4050, -5372?\n\"Answer: -s**3 - 77*s**2 + 2*s + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -11 + 14. Suppose -8 = -s*z + 7. Suppose -z*l - l = 42. Which is the closest to -2\/3?  (a) -4  (b) l  (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is e61 - 2?\nAnswer: e5f","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -477, -940, -1417, -1914, -2437, -2992, -3585?\nAnswer: -4222","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(7\/4)*m**(-2\/37))**(2\/95) assuming m is positive.\nAnswer: m**(251\/7030)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 56 and 88.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/(-15)*-8)\/(146\/(-365))?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-48)\/40)\/((-16)\/80).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lee when three letters picked without replacement from mlelleleelmllleel.\nAnswer: 9\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify c**(-8\/5)\/(c*c**(4\/7)\/c*c)*((c\/((c\/(c**7*c))\/c*c))\/c*c*c)\/((c\/c**(5\/2)*c)\/c) assuming c is positive.\nAnswer: c**(513\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 10002202211 (base 3) in base 11?\nAnswer: 41978","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/(-2) - (-9 - -3). Suppose -4*y + b*v - v + 20 = 0, y - 3*v = -5. Suppose 10 = y*n - 2*n. Solve -2*h - 16 = n*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 343 divide 59219195?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 18, -4, -5, 1 in increasing order.\nAnswer: -5, -4, 1, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 76*c - 49. Let s be v(1). Sort -36, s, -3.\nAnswer: -36, -3, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = -7*t**2 - 91*t + 4. Calculate l(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**3\/4 + 285*j**2\/4 + 3687*j\/2 - 1914 = 0.\nAnswer: -22, 1, 116","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -27*y + 3*y - 13*y to a + z*y and give z.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*z - 3*z - 40 = -5*a, 15 = a - 2*z. Suppose -2108 = -3*y + 5*o, -a*y + 5*o = -2779 - 731. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the second derivative of t**6\/18 - 7*t**5\/12 + 25*t**4\/12 - 65*t**3\/18 + 10*t**2\/3 - 8*t - 4. Factor o(c).\nAnswer: 5*(c - 4)*(c - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*r - 5*j + 54, -12 = -3*j - j. Let y be 39\/(2 + 15\/(-9)). Let u = -81 + y. Calculate the remainder when u is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zk when two letters picked without replacement from {u: 5, f: 1, z: 3, k: 1, p: 1}.\nAnswer: 3\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -638 + 637.95. Let r = -68.41 + 68. Let j = 0.01 + r. What is the third biggest value in j, h, -1\/4?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22*(-3)\/6*-5?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (52 - 68) + 82 + -160?\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-2)\/(m*m**(-17)*m))\/((m*m*m*m\/(m**(-8)*m*m)*m*m*m)\/m**(3\/13)) assuming m is positive.\nAnswer: m**(3\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -42458, -76358, -110258?\n\"Answer: -33900*s - 8558","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + 150 + 150 = 0. Suppose 5*j - 926 = 464. Let o = 328 - j. What is the greatest common divisor of f and o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -9*y**4 - 3*y**3 - 3314*y**2 - 254440612?\nAnswer: -36*y**3 - 9*y**2 - 6628*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n - 5*a - 13 = 66, 4*n = -5*a + 216. Suppose 0 = -530*f + 776*f - 3690. What is the remainder when n is divided by f?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*i - 1424 - 328. Suppose x = 5*x + 1244. Let d = x - i. Is d a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z = -3701 + 1541. What is the common denominator of -7\/285 and 9435\/z - 6\/54?\nAnswer: 2280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (2 - 1) + 50 - (14 + -41 - -58 - 19)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2269151 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1560511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 13112133031 - -3?\nAnswer: 13112133100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*p + 18*p - 46*p.\nAnswer: -24*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + 1 + sqrt(34)\/(sqrt(6)\/sqrt(3) + sqrt(2)) + 5)**2*1.\nAnswer: sqrt(17) + 21\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14744 is divided by 58.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1890 and 1090082.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -294378, -294377, -294376, -294375, -294374, -294373?\n\"Answer: l - 294379","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be ((-30)\/(-8))\/((-3)\/2). Let b be (-10)\/(-12) + (-40)\/(-15) + -3. What is the closest to b in v, -3\/8, -1?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 474?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q*q*q*q\/(q**(-7)\/q)*q*q)\/q**(2\/9))\/(q**0)**(-24))**0 assuming q is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 121 in -13, -2\/7, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:38 PM and 5:19 PM?\nAnswer: 41","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1543026809 to the power of 1\/7, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify w\/w**10*(w*w\/w**(-2\/3))\/w assuming w is positive.\nAnswer: w**(-22\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -212 - -226 - (-4 - 1).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = -4*t + 3*t. Let w be (-74)\/(-8) + 66\/t. Let i(y) = -y**3 + 10*y**2 + 10*y - 15. Is i(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:26 AM and 1:28 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:02 AM and 3:42 PM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ipifppa. Give prob of sequence pfi.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(392)*2 + -5 + -5 + -2 + 2 + sqrt(392)*2.\nAnswer: -10 + 56*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 3 + 1)*(3*y + y**3 - 3*y) + 29*y**3 + 19*y**3 + y**2 - 73*y**3.\nAnswer: -23*y**3 + y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -14 + 21. Let h be -5 + s + 1 + 1. Solve -h*u + 3*u + 4*d = 10, d = -u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(d) = d**2 - 22*d + 80. Give k(16).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1.62 in 0.1, 7\/4, -0.1, 0.4, 2\/13?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 140351 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 22020 is divided by 5502.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -12045 + -542?\nAnswer: -12620","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(65)*1)\/(sqrt(605) + sqrt(605) + sqrt(605)*1).\nAnswer: 5*sqrt(13)\/33","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 979865 and 979864 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (-3)\/(-4) - (-43)\/(-172)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 - 7*i**2 - 8*i + 11. Let a be u(-5). Sort -2, a, 14, -1.\nAnswer: -2, -1, a, 14","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h = 3 + 21. Let g(j) = -h*j**2 + 11*j**2 - 21 + 3 + 11*j - 4*j**2. Let u be g(9). Solve -3*q - 3*m - m + 19 = u, -3*m + 12 = 0 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 800962 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a(b) = b**2 - 2*b + 5. Let r(l) = -6*l**2 + 10*l - 26. Let u(t) = -22*a(t) - 4*r(t). List the prime factors of u(-4).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -279, -401, -523, -645, -767, -889?\nAnswer: -1011","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a second in milliseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.18826 and 1.5.\nAnswer: 1.68826","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1296 = -32*f - 1027 + 6067. Solve -52*a + 218 = -f for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4 - 5 + 9*c + 71*c + 0*c + 4*c - 2*c + 2*c - c - 2*c + (-5 + 3 + 4)*(c + c - c).\nAnswer: 83*c - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 978932620?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4\/5*g**2 + 0 - 1\/5*g.\nAnswer: g*(4*g - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1298282270?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes before 5:35 PM?\nAnswer: 9:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (((-4290)\/(-4))\/(-3))\/((-9 - -19)\/(-20)). What is the greatest common divisor of 91 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = -j**2. Let f(r) = -r + 1. Let d(o) = -469*o - 63. Let q(n) = -d(n) + 14*f(n). Let y(a) = -12*a - 2. Let l(g) = -2*q(g) - 77*y(g). Give l(c(s)).\nAnswer: -14*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express i - 14 - 3*i + 4*i as l*i + o and give l.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 1500*(-17508)\/(-54)*(-9)\/3. What is b rounded to the nearest one hundred thousand?\nAnswer: -1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = -17*n**3 - 160*n**2 - 47*n - 28. What is u(-9)?\nAnswer: -172","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -5.3 + 6.3. Let i = 629 - 624. What is the biggest value in b, i, 3, -3\/8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 300791256 and 14?\nAnswer: 2105538792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -1. Let n(y) = 31*y - 155. Let d(h) = 155*f(h) - n(h). Let s be (835 + 0)\/(14 + -13). Let q(c) = -835 - c + s. Calculate q(d(j)).\nAnswer: 31*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 4 + 1 = 0. Suppose -h*w - 34 - 14 = -4*n, -5*w = 4*n - 8. What is the remainder when 20 is divided by n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -313*l**2 - 82*l**2 + 0*l + 0*l to y*l**2 + w*l + z and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -137 - -303. Let h = t + -169. Let f = 0.6 - 0.5. What is the closest to f in h, 4\/7, 4?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -3 + 1 + 3 - 32*w**2 + 8*w + 4*w**2 as b*w**2 + d + s*w and give s.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find i, given that -2*i**3 + 50*i**2 + 18*i - 450 = 0.\nAnswer: -3, 3, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(y) = 95*y**2 + 11*y - 222. List the prime factors of g(-12).\nAnswer: 2, 3, 2221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -21?  (a) 2  (b) -2  (c) 2\/5  (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in 4\/5, -4, -0.5, 0.5?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 2136 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fnmm when four letters picked without replacement from fnnnnnnnnmnnmr.\nAnswer: 5\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (4 - 1) + (26\/(-52))\/((-2)\/(-14)). What is the closest to d in -0.1, -2, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j*j**(-2)*j**(2\/3))\/(j**10*(j**(-2\/11)*j)\/j) assuming j is positive.\nAnswer: j**(-335\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 15.4?  (a) -0.07  (b) 0.4  (c) -13  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 18 or -27?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = 4*g**2 + 52*g + 5. Let x be h(-13). Suppose -7*n = -x*n - 66. Suppose -4*b = -n + 21. Solve -1 = 2*s - b for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -843428 - -843442.99894. Let w = b - 15. Round w to four decimal places.\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 655 minutes before 5:13 AM?\nAnswer: 6:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1508 and 23221640.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 186*t = 191*t - 2380. Let y = 530 - t. Calculate the lowest common multiple of 22 and y.\nAnswer: 594","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = -m**2 + 12*m + 609. Determine g(-21).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 226 + -224. Calculate the remainder when 372 is divided by (k\/10*-34)\/((-7)\/35).\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 0*2\/4 - (45 - 49). Suppose 0 = l - 5*g + 10, -w*l - 3*g - g + 32 = 0. What is the remainder when 132 is divided by l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 20\/(-4) - (-3 - 32). Suppose -8*y = -4*y - 40. Calculate the highest common factor of y and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 3*x**2 + 43*x + 5. Give v(7).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 204412 (base 5) to base 4.\nAnswer: 1223021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = 4*q**2 + 33*q - 207. Let f be u(17). Calculate the greatest common factor of 10 and f.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -203967\/12884 smaller than -17?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.5 + 0.6. Let p = -283 + 282. Which is the nearest to 2\/5?  (a) p  (b) 2\/9  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 92*t - 105*t + 416 = 0. Solve -4*p = 4*p - t for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -33304 + 57599. Suppose -27*j - 6502 + c = 0. What is the hundreds digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a millisecond in microseconds?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 106193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22759209 is divided by 129?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-6)\/(-4))\/((-12)\/(-81080)*5). Suppose -3*d = 5*b - x, 2*b - 675 = -d - 0*b. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -332024 (base 5) in base 3?\nAnswer: -120210110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w**1)**14*w*w\/(w*w**1*w)*w\/(w**(2\/23)*w))\/((w\/(w*w**9))\/w**(-9))**(-27\/2) assuming w is positive.\nAnswer: w**(297\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -19 + -70?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1283571520?\nAnswer: 2, 5, 7, 11, 113, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -23\/878080 and -103\/263424?\nAnswer: 2634240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 928832867785 + 15.6\nAnswer: 928832867800.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = r**3 + 19*r**2 - 45*r - 25. Give k(-20).\nAnswer: 475","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*x**4 + 0*x**4 - 3*x**4 + (0 - 2*x**3 + 0)*(3*x - 2*x + x) + x**4 + x - x + (-3 - 3 + 0)*(3 - 3 + x**4).\nAnswer: -8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*1.623\nAnswer: -0.8115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2117, -1682, -1247, -812?\nAnswer: -377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) -0.32  (c) 12378\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -18\/5571211 != -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -107, -129, -141, -137, -111, -57?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/(-12) - (-18)\/8. Suppose -397*n + 391*n - 12 = 0. Let v be ((-9)\/6 + n)*1\/(-7). What is the nearest to u in v, -4, -0.2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -1\/1292  (b) -2  (c) -0.1  (d) -3  (e) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -2 - 2 + 3 + 2 + 3*m. Suppose 3*t - 6 = 6. Suppose -3*z - z + 16 = -t*p, 0 = -p. Determine s(z).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -16 - 7. Let a = 23.0002 + i. What is a rounded to three decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert a (base 11) to base 15.\nAnswer: a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3388)\/(-690) - (-20)\/(-460)) + (-4 - 1).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 952.4782l to millilitres.\nAnswer: 952478.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: ((29\/2146)\/(3\/4))\/(((-32)\/12)\/4)\nAnswer: -1\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2*f**2*v**3 - 7*f**2*v**2 + 9*f*v**2 + 3*f*v + 15*f + 142181485*v**3 - 837*v wrt v?\nAnswer: 12*f**2 + 853088910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 32 is divided by 13?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*f**4\/19 + 10*f**3\/19 - 50*f**2\/19 - 10*f\/19 + 48\/19 = 0 for f.\nAnswer: -8, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-1))**45\/(i*i**(-1\/6))**41 assuming i is positive.\nAnswer: i**(-475\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 47980693*u**2 + 19729740?\nAnswer: 95961386*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -414*p = -406*p - 38680. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: -11 (base 5) to base 12\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 + 4333b9?\nAnswer: 4333b4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 97817 + -8256. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s - 5 = 2*x, 245*s + 4*x + 8 = 249*s for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 24 = -4*c, -3*w - 17 = -c - 3*c. Suppose c*k + d - 207 - 100 = 0, d - 2 = 0. What is the remainder when k is divided by 21?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, -108, -868.\nAnswer: -868, -108, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = 83*c - 6054. Let f be s(73). Sort f, -1, -550, -5.\nAnswer: -550, -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 57\/(658\/(-166) + 4). Let u = x + -1589. Suppose -2*f - 2*n - 2 = -4*n, -2 = -2*f + 4*n. Sort f, u, -5 in decreasing order.\nAnswer: f, -5, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 8*k + 3. Suppose 0 = -p + 7 + 3. Is j(p) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, 10, -7, 393, -4, -19 in ascending order.\nAnswer: -19, -7, -4, 2, 10, 393","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -y**3 + 9*y**2 - y + 12. Let g be a(9). Let m be 1\/2 + g\/2. What is the units digit of 1 + 0\/(m - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 110227643 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -90 + 153. Let f(c) = c**3 + 14*c**2 + 32*c + 10. Let j be f(-11). What is the highest common factor of u and j?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7 = -2*t + 1. Suppose -k - 4*b + 15 = 0, 0*k - 2*b - 15 = -k. Suppose -1 - k = -t*w. Solve 3*j - 4*a = 4*j - 19, 0 = -w*j - 4*a + 28 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -58*f - 45*f + 88*f - 165 = 0. Let a(t) = t**2 + 6*t - 11. Determine a(f).\nAnswer: 44","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 0.040409 or 163?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o**28\/(o\/o**(-5\/4)))\/(o*o\/(o**17*o)*o**(-8\/11)))**(-26) assuming o is positive.\nAnswer: o**(-24297\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -21 - -51. Suppose 6 = -36*j + w*j. Is 13 a factor of (-1488)\/(-9) - (-4)\/6 - j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46 - 52 = -v + k, -5*v + 15*k + 40 = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-1)\/(-3))\/((-16)\/128))\/(-2)*(-70)\/1260?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 3\/5  (b) -0.3  (c) -1\/4  (d) 10\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9071.\nAnswer: 47, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -8*(-7)\/(-126)*9.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 60\/(-2))\/((6578\/(-143))\/(-46))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: -a1a0 (base 14) to base 6\nAnswer: -332332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3022.\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -11.6 - -10. Let p = a + 3.6. What is the nearest to p in -0.1, -3, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0252118507 to five decimal places.\nAnswer: -0.02521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 13\/99 or -1?\nAnswer: 13\/99","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-7)\/(-84) - (-26)\/(-48)*-22.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q + 9. Let t be j(7). Let k(v) = 2 - t*v**2 - 2*v + 6*v**2 - 2*v**2 - v**2. Calculate k(4).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + -26 + 11 + 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + (8 - ((-1 - -2) + 1)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2136186708?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 111, 0.2, 0.1, -5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ebw when three letters picked without replacement from {w: 4, e: 5, b: 5}?\nAnswer: 25\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**4\/8 - 51*s**3\/2 - 113*s**2 - 150*s + 5224. Factor a(m).\nAnswer: -(m + 1)*(m + 2)*(m + 150)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yyzf when four letters picked without replacement from tytztwwwfyzttwtytww?\nAnswer: 1\/7752","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 741184423*g**2 - 741184423*g**2 - 59*g**3.\nAnswer: -59*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -84.19 + 61.19. Let l = -4 - -2. Which is the fourth smallest value?  (a) l  (b) n  (c) 3  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**2 + 26*r - 13. Let a be g(10). Let p = 1032\/7 - a. Let s = -2 + 2. Put s, p, -5 in descending order.\nAnswer: p, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 6*g - 9*g + 9. Suppose g*p - 4 - 2 = 0. Solve -2*z - 3*v = -p, -3*z + 4*v = v - 18 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 424*o - 311*o + 10396 = 0. Is o equal to -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + (-3 - (-4 - -1 - 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 2*t = 0. Suppose 0*c - 5*c + 10 = t. Let i(h) be the first derivative of h**4\/4 - h**3 + 3*h**2\/2 - 3*h + 1. Determine i(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 83*u. Let o(b) = -252160 + 252160 + 28*b. Determine -11*o(j) + 4*t(j).\nAnswer: 24*j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 10 - -1 - 4\/2. What is the units digit of 4\/6 + 111\/g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v + 151 = -3*j, 4*j = -2*v - 187 - 1. Let b = 79 + j. Suppose 0*q = -2*q + 34. Calculate the highest common divisor of q and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*h - 7*x + 3*x = -33*h + 199, -3*x - 129 = 0 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((-4 + 5 - 2)*(-4 - 4 + 6) + 1 + 0 + 1 - 5 + 0 + 4 + (0 + 3 - 6)*(-4 + 2 + 1))*(0*d + 2*d - d) to the form k*d + v and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000005669246 rounded to seven decimal places?\nAnswer: 0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2271\/2 - -1111. Calculate the common denominator of v and 64\/93.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (8\/6)\/2*-6. Let b = 9 + s. Suppose -4*l = -g - 4*g + 115, -4*l - 20 = 0. Solve -3*v - g = 3*a + a, 4*v - b*a = 16 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.4 - -1.4. Let i = 3 + -7. Let k = 2 + i. Which is the second smallest value?  (a) k  (b) 2  (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 15060?\nAnswer: 2, 3, 5, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 1592  (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express 192*m**3 - 2*m**2 - 165*m**3 + 2*m**4 - m + 4*m**2 as i*m**4 + a*m + u + w*m**2 + n*m**3 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-5)\/2*(-24864)\/2220\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1220370 is divided by 26.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1904392 divided by 5.\nAnswer: 1904392\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 7 + -17. Let u = -15 - b. Let c = -1\/56 - -127\/840. What is the biggest value in u, -2, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60 and 30?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7\/30 in -2\/7, -0.3, 2\/13?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 87, 181, 277, 375, 475, 577?\n\"Answer: u**2 + 91*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*b**2 + 2*b + 10*b**3 - 4 - 10*b**3 - b**3 to d*b**3 + k + w*b**2 + m*b and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1534840?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:54 PM and 6:54 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -34 - -34.2. Let g = 1 - 1.1. Which is the nearest to o?  (a) -5  (b) -2\/3  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 AM and 2:48 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -53*m - 140 - 135 = 43 for m.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-4))\/(441\/4116).\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 306\/27 - 4\/(-6). Suppose 3*k = i + 9. Suppose k*h = 6*h - 1. Is -1\/12 smaller than h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.2?  (a) -13  (b) 9.2  (c) 1  (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -417*11466.\nAnswer: -4781322","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 772?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -3510.228 to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00031612 rounded to 3 decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*r - 8*r = -r - 2565. Calculate the highest common factor of 615 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*k + 364 - 13. Does 9 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1787 - -1727. Sort 2, 6, x in increasing order.\nAnswer: x, 2, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - -10 - (-43 + 29)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = d + 2*i - 25326, 147*i - 144*i + 50603 = 2*d. Calculate the greatest common factor of 64 and d.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) = -o**3 - 6*o**2 + 5. Let l be w(-6). Suppose 3*j + y = 300, -l*y - 381 = -5*j + j. What is the greatest common divisor of 9 and j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 AM and 4:11 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 702 minutes after 9:49 PM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 3*q + 28. Let w be t(10). Calculate the greatest common factor of 2262 and w.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a milligram in micrograms?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-156 + 312 - 158 - 80*j**4)*(-2 + 3 + 0).\nAnswer: -80*j**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) be the third derivative of t**7\/5040 - t**6\/120 + t**5\/5 + 20*t**2. Let x(n) be the third derivative of g(n). Determine x(7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve x**5\/4 - 2127*x**4\/4 + 283478*x**3 - 684459*x**2 - 85716144*x = 0.\nAnswer: -16, 0, 19, 1062","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 g and 3 a when four letters picked without replacement from aaaaaaaaagaaaaaagaga.\nAnswer: 8\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8.85 - 0.15. Let f = 9 + q. Let j = -22\/29 - -316\/493. Which is the closest to f?  (a) 1\/5  (b) 0.4  (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -60*r + 26*r - 38 - 22 + 29*r as h*r + k and give k.\nAnswer: -60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (6\/10)\/((-3)\/(-358)). Let h = -72 + k. What is the second biggest value in 2\/5, 5, h?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 462221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 868726533 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 127 divide 90\/315*4445\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 7*d - 63. Let f be y(11). Let u(r) = r**3 - 4*r**2 + 5*r - 4. Let o be u(3). What is the highest common divisor of o and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02408288 to five dps.\nAnswer: 0.02408","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round -250.874641 to one decimal place.\nAnswer: -250.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 57021?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: (-65)\/(-78)*(-99)\/(-825)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 5*f**2*u - 5*f**2*z + 76*f**2 + f*u - 815*u*z + 2*z - 5 wrt f?\nAnswer: 10*f*u - 10*f*z + 152*f + u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-1 - 0)\/(1\/(-5)). Let c(t) = -t + v*t + 5 - 10. Let k(r) = 5*r - 6. Let p(x) = -6*c(x) + 5*k(x). Let a(m) = 4*m. What is p(a(i))?\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*i**5\/15 + 22634*i**4\/15 + 180884*i**3\/15 - 678476*i**2\/15 + 723754*i\/15 - 248798\/15 = 0. What is i?\nAnswer: -11309, -11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -7*u**2 - 492. Let i(p) = 4*p**2 + 328. Determine 5*c(f) + 7*i(f).\nAnswer: -7*f**2 - 164","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154 is divided by 42?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -187.77 + 188. Let y = g - 0.2304. What is y rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -160664, -321323, -481982, -642641, -803300?\nAnswer: -963959","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**4 + 110*m**3 + 605*m**2.\nAnswer: 5*m**2*(m + 11)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c**3 + 41*c**2 - 393*c + 5. What is j(-49)?\nAnswer: 54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -103 - -103. Which is smaller: p or 8?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.06, -1, -0.4, -2, -7, -10?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 0.1, -13, 2, 0.3, -17\/148?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9944 and 3?\nAnswer: -29832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-6)\/1 + 7722\/(-33). Let h = b - -250. Calculate the remainder when 41 is divided by h.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(o) = 242*o + 26. Let d(r) = -478*r - 52. Give -6*d(m) - 11*v(m).\nAnswer: 206*m + 26","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((-6*(-1*sqrt(17) + sqrt(17)) - (sqrt(17) + sqrt(153))*6) + (0 + sqrt(425))*4)*-6.\nAnswer: -144*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 8724, 17434, 26134, 34824, 43504?\n\"Answer: -5*p**2 + 8725*p + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -54\/13 in -107\/4, -5, 2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 9551795?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -168*n + 92698 + 292190 = 0. Let g(k) = -259*k - 4. Let c be g(6). Let z = n + c. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -20020001 - 1110102122?\nAnswer: -1200122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -5*n + 1, 6*f - f - 15 = 0. Solve -c - 5*s - 17 = 0, 9 = -n*s + 3 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = -10*d + 225. Calculate x(22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = 6 - m**3 - 11*m**3 + 11*m**3 - 3. Calculate the smallest common multiple of v(-3) and 27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*f + 4*f - 2*f)*(0*f + 0*f + 2*f) + 5*f**2 - 8*f**2 + 6*f**2.\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2652942802?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -2*g, 11 = 5*h - 7*g + 4*g for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in one fifth of a millimeter?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tt when two letters picked without replacement from {b: 2, t: 2, n: 8, o: 2, z: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -0.13074128?\nAnswer: 0.6537064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 38*l - 42*l. Suppose 2*n + l*k = 24, k + 0 = 3. Let i(c) = 4*c**2 + 3*c**2 - n*c**2. Let p(u) = 36*u. What is p(i(g))?\nAnswer: -72*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mvsk when four letters picked without replacement from sksmmemmsmve.\nAnswer: 1\/792","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -14201104432 + 2?\nAnswer: -14201104430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-1800)\/(-180))\/(1*5). Solve -2\/5 + 4\/5*s**t - 7\/5*s - 2\/5*s**4 - 7\/5*s**5 + 14\/5*s**3 = 0 for s.\nAnswer: -1, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.34 - 0.2. Let p = g - 0.04. Put p, 6\/5, 0.5 in ascending order.\nAnswer: p, 0.5, 6\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 9283 and 9294 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 14\/2 - 2\/(-4)*-4. Suppose 2*n + t = 2*y + 39, n = 5*y + 21. What is the remainder when 63 is divided by n?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3734 + 3?\nAnswer: -3731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 40147 (base 8) in base 2?\nAnswer: 100000001100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*a - 1110000 = -16*a. Suppose 35*j - a = 37*j. What is j rounded to the nearest 10000?\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the first derivative of 4*i**2 + 0 - 3*i**2 - 2 + 3 - 3*i. What is the first derivative of u(t) wrt t?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 66 and 8100?\nAnswer: 89100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 12\/9 - 4\/(-6). Let w be 14\/(-4) - (-4 + g). Let j = 0.6 + 1.4. What is the closest to j in w, -2\/11, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) be the first derivative of h**3\/3 - 2*h**2 - 9*h + 218. Suppose 5*n + 5*v - 5 = -0, 3*n + 4*v + 2 = 0. Let u be m(n). Solve u*c + c + 20 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*r**3 + 80476*r**2 - 1369488*r - 4832640.\nAnswer: 4*(r - 20)*(r + 3)*(r + 20136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 454 minutes before 8:42 AM?\nAnswer: 1:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 55*v**3 + 1432*v**2 + 47*v - 125. Determine h(-26).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, 3, 26, 4, -17, 0, -5 in descending order.\nAnswer: 26, 10, 4, 3, 0, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 3, 121, -9, 5 in descending order.\nAnswer: 121, 5, 3, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u**13)**(-1\/29)\/(((u\/(u**12*u))\/u)\/(u\/(u*u**(16\/7)))))**(5\/4) assuming u is positive.\nAnswer: u**(2605\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 52593696?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 2670, 2659, 2636, 2595, 2530?\n\"Answer: -x**3 - 4*x + 2675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**3 - 12*f**2 - 355*f + 750 = 0 for f.\nAnswer: -15, 2, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = 5*m - 330. Suppose 368 = 22*g + 104. Suppose 7095 = 55*j - g*j. What is the greatest common factor of m and j?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + 34*z + 7 - 14*z)*(0*z - 2*z + 0*z).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-8)\/(-3) + -3)*15\/(-5). What is the common denominator of ((-185)\/90 - 1)\/r and 39\/2?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 877087 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -782 = v - 3*w - 745, 5*v = 5*w - 75 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 7 + -5. Let n(j) = 26*j - 6 + 4*j**2 - 5*j**d - 16*j. Let h be n(9). Solve 4*z = -h*a - 3 + 7, 28 = -5*a + 2*z for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 37631 and 968.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = -u - 3. Let s be h(-4). Let a = s + 1. Factor 2*i**a + i**3 + i**3 - i**4 - 2*i**2 - i**2.\nAnswer: -i**2*(i - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.6321957 hours in nanoseconds?\nAnswer: 2275904520000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 10\/((-1)\/(24\/(-20)))?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 139\/50922 and 64\/229149.\nAnswer: 458298","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(500) + 0 + -2 - sqrt(500))**2 + 5 - -4*(5 + 3*(sqrt(500) + -1)).\nAnswer: 16 + 120*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is (2 + -1)\/((-4 - -19)\/139575) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o - 1. Let h(v) = 7*v + 4. Let j(b) = -h(b) - 3*s(b). What is the units digit of j(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + (17 - (56 + 9)) + 0?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-one thirds of a century in months?\nAnswer: 28400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3965, 15836, 35621, 63320, 98933?\nAnswer: 142460","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((sqrt(175) + -1)**2 + 3 + ((-2*sqrt(175) - sqrt(175))*1 + sqrt(175))**2 - (1*(sqrt(175) + 1) + 1)) + 2.\nAnswer: -15*sqrt(7) + 880","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52440 + (19 - -5) + -16?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20 a factor of 3270?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in fifty-nine quarters of a millennium?\nAnswer: 1475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 656 and 111432055.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Does 49 divide 1443059?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 79 divide 1000136480?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llll when four letters picked without replacement from lllllllll.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 15*s**2 - 382*s + 13. Let x(n) = -4*n**2 + 127*n - 4. What is -7*x(r) - 2*y(r)?\nAnswer: -2*r**2 - 125*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -575.4152583 from -30541.\nAnswer: -29965.5847417","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 11213456?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: 0.6 * 160385\nAnswer: 96231","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*f**5 + 10402*f**4 + 966716*f**3 + 33808808*f**2 + 524615344*f + 3045242816 = 0. Calculate f.\nAnswer: -5107, -28, -22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.44 in 79, 6, -148, 4, 2\/15?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 531 divided by 177.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -34 - 1 - (119 + 0 + -116)\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 361900 = -17*b + 362155 for b.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 1389 + -1130. What is the tens digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 1 = -h, 4 + 6 = r - 2*h. Suppose 5*m - m = 5*n - 16, r = 4*n - m. Suppose 0*o + 3\/5*o**2 + n + 3\/5*o**3 = 0. What is o?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 17 - 10*x**4 - 17 + (-2*x**3 + 2*x**3 - x**3)*(-x - x - 2*x) + 125*x**4 + 33*x**4 + 140*x**4.\nAnswer: 292*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 14 - (0 + 0)*1. Let y = -14 + 8. Let t(c) = c - 3. Let m(i) = 4*i - 11. Let w(a) = -17*a + 46. Let f(z) = 9*m(z) + 2*w(z). Calculate g*t(o) + y*f(o).\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (3 + -12 - ((-1 - 1) + -2)) + 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (6\/(-2))\/(7 + -6). Let x be (6\/4)\/(f\/(-144)). Suppose 0*h + 4*h = x. What is the smallest common multiple of 22 and h?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -79, -170, -261?\nAnswer: -352","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 14, 143, 19, 13, 5 in ascending order.\nAnswer: -4, 5, 13, 14, 19, 143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 21, 101, 239, 435, 689?\n\"Answer: 29*l**2 - 7*l - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268955918?\nAnswer: 2, 7, 11, 29, 60223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 8042.\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a, 1 i, and 2 c when four letters picked without replacement from tictaiititoiiicitt?\nAnswer: 2\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 30\/(1*12\/(-20)*-5)\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l\/l**(-1))\/(l*l*l*l**1\/l))\/((l\/l**(-6))\/l*l**11) assuming l is positive.\nAnswer: l**(-18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 136*c**2 + 7*c. Let n be d(4). What is the greatest common factor of 348 and n?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 31168727 - -903.6?\nAnswer: 31169630.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(5\/6)*p*p\/p**(-1))\/(p**(-1)*p)**0)\/((p*p\/(p\/(p*p**1))*p*p*p**3)\/(p**1)**(-41)) assuming p is positive.\nAnswer: p**(-265\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(j) = -147*j - 199. Let t be r(19). Let u be (t\/110)\/(2\/(-5)). Which is smaller: u or 66?\nAnswer: 66","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -3*q + 2563*q**4 + 6*q - 434392 + 512*q**4 + 434296 wrt q?\nAnswer: 36900*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -v - 2*p - 8, -v + 5*v - 33 = 5*p for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12.65 - 0.65. Let s = 10 - u. Which is smaller: 2\/21 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from abdbddbbaddkbdad. What is prob of sequence ddba?\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 x when three letters picked without replacement from xxwxwwwxxxwwwwxxxxwx?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 57912720 to the nearest integer?\nAnswer: 387","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 27*w**5 + 21*w**4 + 9*w**2 + 9*w. Let v(j) = 7*j**5 + 5*j**4 + 2*j**2 + 2*j. Let b(k) = -2*t(k) + 9*v(k). Find m, given that b(m) = 0.\nAnswer: -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = p**2 - 14*p + 2. Let l be z(14). Suppose l*b - 25 = -9. Let m(n) = 2*n - 7. What is the units digit of m(b)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/6 - 2\/3. Suppose -10 = 2*g + 2*k, 2*k + 12 = -5*g + 2. What is the nearest to -2\/3 in g, c, 4?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = 2*o - 10. Let u(i) = -6*i + 6. Let l be u(4). Let z = l + 56. Calculate the remainder when z is divided by r(10).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: -146 * -19\nAnswer: 2774","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**(3\/4)\/b*b**(-3)\/b)\/(b**(-2)\/(b\/(b**(-4\/7)\/b*b))) assuming b is positive.\nAnswer: b**(-19\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.3 and -240.\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 7 - 6.99. Let s = g - 0.14. Let z = -0.186 - s. What is z rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*r - 203 = -0*r. Suppose r*v - 27*v = 8. Sort -2, v, -1.\nAnswer: -2, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v - d = d - 7, -5 = v + 2*d. Solve v*n - n = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -22 + -13?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*g + 0*g - 4*g)*(-487 + 245 + 260)*(-3*g**2 + 3*g**2 - 3*g**3).\nAnswer: 108*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -12.6 - -13.6. Let y be 10\/20 - (-23)\/2. Suppose 4*o + a + y = 0, o - 3 = 2*o - 4*a. Put 2\/11, o, l in descending order.\nAnswer: l, 2\/11, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 8\/5*(-14140)\/808.\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 12 and 155136.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**20\/((c\/(c*c**28))\/c))**(-20) assuming c is positive.\nAnswer: c**(-980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2480 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: Determine t so that 5*t**5\/3 + 91*t**4 + 534*t**3 + 288*t**2 = 0.\nAnswer: -48, -6, -3\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = -374*a**2 - 6742*a + 8. Calculate o(-18).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = b - 2 - 5. Let j = b + -5. Suppose -j*r - 4*p = -26, -3*p + 1 - 7 = 0. Does 17 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fpzzp. Give prob of picking 2 p.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 779 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/2*30\/9. Suppose 0 = v*p - p - 104. Calculate the remainder when p is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 67138 and 911.\nAnswer: 61162718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 131556 a multiple of 114?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*m = 24 - 24. Suppose m = 9*k + 18 + 18. Let n(a) = 3*a**2 + 7*a - 4. Let d(l) = 2*l**2 + 4*l - 2. Determine k*n(h) + 7*d(h).\nAnswer: 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = -143*k + 1713. Give u(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 2*z + 12 = 0, 6*z + 3 = 5*z. Let d = o + 7. What is the units digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -959.4782 rounded to the nearest integer?\nAnswer: -959","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 520660?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5\/4 + (-5544)\/1056?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 200*k**2 - 34218972*k - 4790660 = 0. Calculate k.\nAnswer: -7\/50, 171095","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 16345549 to the power of 1\/3, to the nearest integer?\nAnswer: 254","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -1021651\/242760 - -3\/20230. Find the common denominator of j and -77\/4192.\nAnswer: 12576","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7404549 a multiple of 202?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74*f**3 - 79*f**3 + 225*f**3 - 70*f**3 + 2 + 5 - 1.\nAnswer: 2*f**3 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = 9*s**2 + 5*s + 5. Let x(w) = 8*w - 14. Let z be x(0). Let k(m) = 26*m**2 + 14*m + 14. Give z*a(c) + 5*k(c).\nAnswer: 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 5 divide (380\/(-60) + 7)*8031\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.0042 in 4, -2\/375, 0, 5, -0.1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.2 and 0.022.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -12651 + 126613\/10. Let j(n) = -n + 10. Let y be j(-8). Find the common denominator of y*27\/(-12) - 2 and p.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 78*v + 80 = -2*v. Which is the third smallest value?  (a) -3\/23  (b) 0.7  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19 - 17.7. Let g = y - 3. Let p = -1.714 - g. What is p rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13511*r**2 - 3 + 10*r - 12*r + 13511*r**2 - 2*r**3 + 28*r**4 to the form v*r**3 + k*r + p*r**4 + g + w*r**2 and give g.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -158.3 - -158. Let o = -0.1 - -0.1. Which is the closest to -0.2?  (a) 5  (b) m  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (0 - -6 - 1) + (-192 - -195)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 43541 to the power of 1\/4, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-81)\/12*(1 - 5). Let m = z - 16. What are the prime factors of m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 876247*c**2*p**2*u + 9244*c**2 - p**3*u + 24*p**3 wrt u.\nAnswer: 876247*c**2*p**2 - p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 147 + -101. Calculate the remainder when v is divided by ((891\/110 + -8)*6)\/(3\/60).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 129433964 to the power of 1\/7, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k - 817 - 841. Let f = k - 500. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11461859 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -173383 divided by 901?\nAnswer: -10199\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 - 35974153.\nAnswer: -35974152.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-9)\/36*(2 - -4). Let v = 7\/6 + o. Which is the nearest to -0.1?  (a) 1\/3  (b) v  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/10*(35165375\/10)\/(-35) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 2*p + 0*p - 4*p. Let r(n) = 1665 - 1665 + 3*n**2. Determine c(r(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3421213 + 11?\nAnswer: -3421202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -5*g**3 - 19535*g + 19535*g + 5*g**2 - 15*g**5 - 25*g**4 = 0.\nAnswer: -1, 0, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 5\/(-3) - (-1)\/(-3). Let l be 1\/((-1)\/(-7)) + f. Solve -u + 1 = -s, 6 + 14 = l*u for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -186135*o**2. Let b(d) = 11*d. Give b(f(z)).\nAnswer: -2047485*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = 26*v - 479. What is b(18)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 9381 + -37523\/4. Factor r*f**2 + f + 1.\nAnswer: (f + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0176438 rounded to two decimal places?\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 450\/1001 + -3\/143. What is the third biggest value in 0.1, -14, j?\nAnswer: -14","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in eleven tenths of a minute?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one eighths of a micrometer in nanometers?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 1\/16 and -125\/12.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify s\/s**(3\/4)*s**(-1\/4)*s*s**0*((s**(2\/5)*s*s)\/s)\/s assuming s is positive.\nAnswer: s**(7\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jkjwbjwwkj. Give prob of sequence wb.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*q**4 - 2*q**3.\nAnswer: 2*q**3*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -640 = -4*a - 3*b + 598, -5*b + 934 = 3*a. Let m = a + -293. Solve -g + 5*k = 15 + m, -4*g - 45 = -5*k for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -661, -136, 385, 902, 1415, 1924, 2429?\n\"Answer: -2*l**2 + 531*l - 1190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 11 + -3. Let j = b - 11. Is 7 a factor of j\/6*-78 - 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 939632?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = 8*f**2 + 38*f + 4. Let x(r) = -2*r**2 - 9*r - 1. Determine -2*d(c) - 9*x(c).\nAnswer: 2*c**2 + 5*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c(y) = 24*y**3 - 5*y**2 + 4*y. Let h(n) = -n**3 + n**2. Let u(l) = c(l) + 5*h(l). What is the second derivative of u(g) wrt g?\nAnswer: 114*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve z = 4*o + o - 3, z + 5*o = 7 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 144 - 113. Let w = 33 - f. Suppose -c - 4*j + 12 = 0, w*j + 2 = 5*c + 8. Solve b + 4 = -c for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.15982 - -2076.24018. Let o = u + -2069.4015. Let l = o + -7. What is l rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -111 + -20?\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2494a + 23?\nAnswer: 2496d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 14033 is divided by 226.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1735, -3, 122, -1, -9 in descending order.\nAnswer: 122, -1, -3, -9, -1735","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 702499 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = 259*d**2 + 8*d - 15. Is o(2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 148 + -26. Suppose 0 = 2*t + 3*s - 71, 0 = s - 5*s + 12. Calculate the remainder when y is divided by t.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 2*k**2 - 156*k + 3343. Calculate the remainder when g(24) is divided by 35.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(130)*-1*-4)\/((-1*sqrt(20))\/sqrt(2))*5)**2.\nAnswer: 83200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 z when two letters picked without replacement from tgvvvtzzktztyzg?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (1*-32)\/(-4) - (0 - -4)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**2\/2 - 1948506*a - 632779272006.\nAnswer: -3*(a + 649502)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 4\/((-20)\/(-8)*(-8)\/10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(735) + sqrt(15))\/(sqrt(363)*3)*2.\nAnswer: 4*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, 0.4, -2779.\nAnswer: -2779, -0.4, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -228102*g*q**4 + 9*g*q - 1982955*g wrt q.\nAnswer: -912408*g*q**3 + 9*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*h**3 - 65992*h**2 + 264032*h.\nAnswer: -4*h*(h - 4)*(h + 16502)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -95  (b) -2  (c) -2\/9  (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2 + -2 + 3 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand -n**3 - 2*n**3 + 8*n**3 + (-2*n - 5 + 5)*(1 - 1 + n**2) + 3*n**3 + 0*n**3 - n**3 + (-1 - 4*n + 1)*(4*n**2 - 5*n**2 + 2*n**2).\nAnswer: n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 1, 4, 49 in increasing order.\nAnswer: -5, 1, 4, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express -19*d**2 + 2 + 44*d**2 - 10*d - 4 - 39*d**2 as t + c*d**2 + m*d and give c.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = -0*i - i + 588, m = 3*i - 1736. Suppose -8*z - i = -2852. Let p = z - 166. What are the prime factors of p?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 195590206 a multiple of 1330?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -121383 to the nearest 100.\nAnswer: -121400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -586373637, -586373636, -586373633, -586373628, -586373621?\n\"Answer: i**2 - 2*i - 586373636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 230.8 + -232. Let k = l - -1.19882. What is k rounded to 3 decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 900*v + 126. Let f(c) = -36*c - 5. Give 126*f(h) + 5*u(h).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 238 + -336. Let t = -89 - p. Let z = 0.323 - 0.123. Sort -4, z, t, -3.\nAnswer: -4, -3, z, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -19079075*o**4 - 17777461*o wrt o.\nAnswer: -228948900*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 2, -3\/8, -4, 2569, -1\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -127034*a**5 - 6577*a wrt a?\nAnswer: -2540680*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-6)\/4)\/(5\/10) - -27. Suppose 10*p = 6*p - 2*o + f, -3*p - 5*o = -25. Let c = 6 - 3. Solve -y = -3*a - 7, 5*y = a - p*a - c for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**3 + 6*z**2 - z + 5. Is o(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 914, -1161, -4620, -9463, -15690, -23301?\nAnswer: -32296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wwlmmmwlw. What is prob of sequence mmll?\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -2567 + 2494. Which is smaller: h or 0.4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7947 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: Calculate 4770200686214 + -1.\nAnswer: 4770200686213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 63853424 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 12\/60383?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 52 times -3.9?\nAnswer: -202.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = -8*h. Suppose d = -w + 2 - 0, d + 2*w = 5. Calculate the smallest common multiple of n(d) and 3.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1708978 - -1708977.97600046. Let h = 0.024 + d. Round h to seven dps.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -3, -4, 4 in ascending order.\nAnswer: -4, -3, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 84 + -87. Let y = 0.8 + -0.8. Which is greater: y or z?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(-4)\/(v*v*v**10*v)*(v**(-3)*v)**7 assuming v is positive.\nAnswer: v**(-31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v**2 - 2*v + 13. Let f be w(-5). Sort f, 2, 5, -5.\nAnswer: -5, f, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - -11 - (-15 - (-35 - -9)) - (3 - 78)\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/3?  (a) -1  (b) 3  (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = r + 4. Let l be t(-5). Let v(n) be the first derivative of 11*n**3\/3 + n**2\/2 + 14. Determine v(l).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -4*n**2*z - 30*n**2 - 12300*z wrt n?\nAnswer: -8*n*z - 60*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -29\/300915384 and -64\/338529807?\nAnswer: 2708238456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*g**4*m**3 - 389*g**2*m**3 + 4*g**2*m + 284*g*m**3 + 8*g*m**2 - g wrt g.\nAnswer: -24*g**2*m**3 - 778*m**3 + 8*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*y + 6 + 3 = 2*o, 2*o - 2*y = 6. Let t(h) = -h**2 - 4*h. Let w be t(-4). Sort -5, o, w.\nAnswer: -5, w, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kkpdpj. What is prob of picking 1 j and 2 p?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*m = 4*o - 275, 77 = o - 168*m + 169*m for o.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of -15230, -15270, -15310, -15350?\n\"Answer: -40*g - 15190","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: (25\/((-1275)\/17))\/((-2)\/(-96))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l + 1. Let k(v) = 2*v**2 + 5*v - 6. Let g be -10 + (-2 - -1 - -4). Let n = 6 + g. What is n*k(t) - 6*x(t)?\nAnswer: -2*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -79*j + 78*j = -5 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 24 a factor of 13704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 91.26 - 91.36. What is the second biggest value in 1\/9, -2\/5, -10, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-30)\/(-63)*(-210)\/350*8.\nAnswer: -16\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -42353, -84469, -126585, -168701, -210817?\n\"Answer: -42116*z - 237","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001071816 rounded to 6 decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 43 divide 473?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 30\/(-2)*(-16)\/(-40)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10 = -3*w + 32. Suppose -g = -16 - w. Calculate the greatest common divisor of g and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2472?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y**3 + 17*y**2 - 19*y + 52. Let g be v(16). Solve k - 5 = -g*b, 2*b - 4*b + 5*k = 25 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -7082575*1.92\nAnswer: -13598544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h + 6 = -0*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -120 + -136072?\nAnswer: -136202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 32a15d (base 15) in base 4?\nAnswer: 21031031332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 31 in 3\/4, 3, 0, -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 339815157 to the nearest integer?\nAnswer: 18434","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -3*u - 3. Let a(g) = -g**2 - 8*g - 3. Let k be a(-8). What is w(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -49 + 11. Let i = 38 + s. Let z(j) = -j**2 - 3*j + 7. Let q be z(-4). Solve i = q*n - 9 + 6 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:43 PM and 10:06 PM?\nAnswer: 443","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*f**4 - 11528*f**3 + 3074092*f**2 + 15589752*f + 18790848 = 0 for f.\nAnswer: -3, -2, 303, 2584","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 2*o = -51 - 13, -2*o = 3*m - 200. Suppose -5*h - m = -h. Is ((-614)\/4)\/(h\/34) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 17 - (11 + 16) - -20?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -f**2\/2 + 200*f - 398.\nAnswer: -(f - 398)*(f - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((s**(-6)\/s)\/(s*s*s**(-1\/6)\/s)*s**(-4\/5)*s*s*s**(2\/15))**(-3\/11))**(-32) assuming s is positive.\nAnswer: s**(-624\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = y**2 + 15*y - 14. Let h be o(-18). Suppose -12*f - 44 - h = 0. Let b(d) = -d**3 - 6*d**2 + 8*d + 6. What is b(f)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2720613 is divided by 38.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the second derivative of 31*r**5\/5 + 5*r**4\/4 - r**2\/2 - 69*r. Find the third derivative of l(s) wrt s.\nAnswer: 744","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 85\/2 - 44. Let z = -1524 + 3043\/2. What is the third smallest value in 9, 5, j, z?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 69*w**2 - 50*w + 8. What is the tens digit of o(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-792)\/(-10))\/(6\/30). Calculate the lowest common multiple of 22 and (n\/(-9))\/(2*-1).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = 1 + 11. Solve -2*u - y = -4*u - 6, -2*u = -n*y + 10 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*w**2 + 0*w**2 + 4*w**2)*(-10*w**2 + 413 - 413) as v*w + o*w**2 + s*w**4 + x*w**3 + z and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -19740.83 - -19837. Let k = v - 97. Round k to one dp.\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -48 < -4510307?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*g - g + 18 = 0. Solve g*i + 4 = -2*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1.6 - 11.6. Let p = l - -10.3. Let h be ((-5)\/(-3))\/((-50)\/(-60)). What is the second biggest value in p, -4, h?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 1, k: 2, o: 1, a: 1, s: 4, q: 3}. What is prob of sequence skfo?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert 59b (base 16) to base 10.\nAnswer: 1435","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (4 + 0)*(1 + (-6)\/(-4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = -3*u. Let k be t(-1). Suppose -49 = -k*n + 50. Let c = 26385 + -26376. What is the remainder when n is divided by c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:42 AM and 12:32 PM?\nAnswer: 410","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 38722268 to the nearest integer?\nAnswer: 338","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 3*t**2 - 40*t + 7. Let n be b(13). Let h be 0 + -3 - (n + -2). Solve -h*c - 6 = 14, 2*a + 24 = -4*c for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -6 - -5. Let b be -1*(q + -2) + 4. Let j = b + -8. Which is smaller: j or 2\/11?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-18)\/(-63))\/(((-14)\/(-98))\/((-2)\/(-4)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 + 3 - 2)*(3*z**4 + 5*z**3 - 5*z**3) + (1 - z**2 - 1)*(-2*z**2 + 0*z**2 + 3*z**2) - 19*z**4 + 29*z**4 - 27*z**4.\nAnswer: 6*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = 56*v + 60. Let d be r(0). Calculate the greatest common factor of 36 and d.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-1 - -3) + (-36)\/20 + 0. Let o(y) = 5*y - 6. Let j be o(2). Let t = -6.86 - -6.46. Which is the third biggest value?  (a) j  (b) t  (c) -4\/3  (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 41 + -41. Suppose -2*j - 4*b + 348 = -0*j, v = b. List the prime factors of j.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 5 - 7\/2. Which is the nearest to -0.2?  (a) -5  (b) 4  (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*a - 393934 = 153446. Suppose -3*t - 9139 = -9*y + 8*y, 4*y + 4*t - a = 0. Is y composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -0.28196458\nAnswer: -1.12785832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 6850 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -l + 28. Suppose -5*z = -2*g - 0 - 1, 0 = -2*z - 2*g + 6. Calculate the remainder when x(0) is divided by z\/(22\/20 - 1).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7 + c**3 + 7)*(-41*c + 4 + 2 - 6).\nAnswer: -41*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 79\/384 and -95\/274544.\nAnswer: 6589056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54018559?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -52 - ((162 - 133) + -166)?\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 + 2735?\nAnswer: 2742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4564, -4709, -4904, -5113, -5300, -5429, -5464, -5369?\nAnswer: -5108","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 14.4 + -11.4. Let w be (-56)\/(-12) + 1\/3. Let z be ((-2)\/30)\/((-21)\/70). What is the nearest to z in w, -0.1, g?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 63042 and 203964.\nAnswer: 2143049748","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2703305490 divided by -6.\nAnswer: -450550915","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mmnmmnmsmm. Give prob of sequence sss.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*x**2 + 22343608*x + 31202301153604 = 0 for x.\nAnswer: -2792951","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 21731768 to the power of 1\/3, to the nearest integer?\nAnswer: 279","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 12 = -2*o + 4*y, -2 = -y. Let p be (-2)\/(-4)*o\/(-18). Put -2, -0.1, p in descending order.\nAnswer: p, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53993 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1 + -3 - -5 - (-2 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 96\/13 + -812\/117. What is the second biggest value in -0.5, k, -0.01, -2?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -530479171*d**2 + 134470912 wrt d.\nAnswer: -1060958342*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/25 of a microsecond in nanoseconds?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = -3*c + 2*m + 141, 4*m = 12. Find the common denominator of 3\/3143 and c.\nAnswer: 3143","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 256.\nAnswer: -1280","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.00937?  (a) -6\/11  (b) -2  (c) 1  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = -m**3 + 5*m**2 + 2*m + 3. Let n(u) = u**3 - u**2 - u - 1. Calculate 5*n(j) + x(j).\nAnswer: 4*j**3 - 3*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -65468 - 6*l**2 + 21721 - l**2 + 21725 + 22022.\nAnswer: -7*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*h + p + 256004 = 4*h, p + 170670 = 4*h. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -125\/308 + -1\/44. Let y = -13 - -18. Suppose -y*r = -3*r - 8. Which is the nearest to -1?  (a) r  (b) m  (c) 3\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 26\/(-143) + 70\/22 + 21\/(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((g**(1\/2)\/(g\/(g**(-2\/7)*g)))**(-42))**(-9\/4))**16 assuming g is positive.\nAnswer: g**324","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 293 minutes after 5:47 PM?\nAnswer: 10:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -6163, -6150, -6123, -6076, -6003, -5898, -5755?\n\"Answer: n**3 + n**2 + 3*n - 6168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -12.599204 and 5130.\nAnswer: 5117.400796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 180\/25 - (-8)\/10. Let s(r) = r**2 + r + 6. Let c be s(-2). Suppose 576 = i*b + c. What is the remainder when b is divided by 15?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let h(q) be the second derivative of -q**5\/20 - q**4\/2 + 2*q**3\/3 + 2*q**2 + 1951*q. Let b(d) = d**3 + 6*d**2 - 5*d - 5. What is -4*b(t) - 5*h(t)?\nAnswer: t**3 + 6*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -127 + 125.79. Let w = 0.42 - -0.49. Let p = t + w. What is the nearest to 0 in -1\/3, p, 0.4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = 4*v, 6*v = -2*p + 2*v + 32. Solve p = -2*g - 0*g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -j**2 - 134*j + 116. Give b(-135).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 532846915?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 3*y**2 - 2*y + 2. Let d be ((-8)\/(-6))\/((-4)\/(-6)). Let m be q(d). Suppose -5*g = m*v - 4, -4*g + 7 - 36 = -3*v. Solve v = -3*u - 5 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 869 to the power of 1\/2, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 356389585?\nAnswer: 5, 277, 257321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 74192203 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c - 5. Let h(b) = -b - 5. Let d(u) = -5*h(u) + 6*y(u). Let j be ((-2)\/(-4))\/(4\/(-48)). What is d(j)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5248)\/(-33943) - (-6)\/(-39). Let x = 75699\/26110 + s. What is the common denominator of (-166)\/(-28) - (-1 - -1) and x?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32 - 88 = 7*j + 13*j for j.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35411, 1, 38, -4 in decreasing order.\nAnswer: 38, 1, -4, -35411","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.0125nm in centimeters?\nAnswer: 0.00000060125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -112 + 114. Solve 0 = 2*v - n - 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -y**2 + 5*y - 5. Let a(b) be the third derivative of b**5\/60 - b**4\/6 + 2*b**3\/3 + 12*b**2. Determine 3*a(w) + 2*z(w).\nAnswer: w**2 - 2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2846, -11474, -26014, -46604, -73382, -106486, -146054?\nAnswer: -192224","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -c**2 + 10*c**2 - 8*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) be the third derivative of -y**5\/60 - 4*y**2. Let v(j) be the second derivative of -j**4\/6 + 3*j. Determine v(b(a)).\nAnswer: -2*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/(-15))\/(4\/(-8))?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 289 minutes before 11:20 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 35752*m**3 + 8*m**2 - 1438*m.\nAnswer: 214512","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 4 and 0.045386602?\nAnswer: 3.954613398","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(6336) - (sqrt(6336) - (-1*sqrt(6336) + sqrt(6336))))**2 + 3 - (5*-1*sqrt(11) - sqrt(176)*-2)*1.\nAnswer: -3*sqrt(11) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cp when two letters picked without replacement from {o: 1, f: 5, p: 8, c: 1, i: 2}.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (-22 - (0 + -10 - -9)) + 6\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0072880653 to five dps.\nAnswer: 0.00729","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1641602?\nAnswer: 2, 23, 127, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -26356*g + 150 = -26361*g for g.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 20*z - 2. Let i(v) = 7*v - 1. Let f(b) = 11*i(b) - 4*r(b). What is the units digit of f(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3723*i - 230790. Calculate g(-62).\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.3  (b) 7871  (c) 2\/91\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 2*m = -5*r + 25, -7 = -3*r - m. Suppose -5*y + r*w = w - 7, -5*y - 4*w + 31 = 0. Solve 16 = h + y*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -316, -315, -314?\n\"Answer: z - 317","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -5818 in -2\/21, 0.054, 3\/4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) be the third derivative of 1\/480*v**6 + 9\/8*v**4 + 3\/40*v**5 - 4*v**2 + 9*v**3 + 0 + 2*v. Let u(t) = 0. What is t?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -7\/5756 + -11295\/178436. Which is smaller: -0.798 or n?\nAnswer: -0.798","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2*4\/(-16) - -1)*2. List the prime factors of (51*4)\/4 - h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 337*z + 277*z + 136*z + 422*z - 50*z to j + w*z and give w.\nAnswer: 1122","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -124 + 121. Which is the second biggest value?  (a) -0.1  (b) i  (c) 2  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 + 11 = 4*q. Suppose -7*o + 6 = -q*o. Factor -2*k - 4*k**2 - 7*k**o + 4*k**4 - k**2 - 6*k.\nAnswer: 4*k*(k - 2)*(k + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = -w - 1. Suppose 0*z + 127 = 2*z + 5*h, -162 = -3*z + 2*h. Suppose -4*d + 32 = -z. Let v = 17 - d. What is n(v)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -108139, -215642, -323145, -430648, -538151?\n\"Answer: -107503*n - 636","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -2*k + 7. Let l(d) = -3*d + 8. Give 5*i(r) - 4*l(r).\nAnswer: 2*r + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 66569837.\nAnswer: 1069, 62273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w and 1 p when two letters picked without replacement from epeepppeepppeww?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 92900 divided by -5.\nAnswer: -18580","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: (((-45)\/3)\/5)\/(-4*1\/28)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (29712\/(-4333) + 8 + 1)\/(5*(-3)\/(-105))\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vsxxvxvxxvxvvxxvv. What is prob of picking 2 x?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 543 + -538. Suppose -o*x = -128 - 112. Calculate the greatest common factor of 128 and x.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25961?\nAnswer: 13, 1997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that -1\/4*r**2 - 413*r - 170569 = 0.\nAnswer: -826","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 12 - 36 - 8*v**2 - 333*v + 14 + 16 - 7 as p + h*v**2 + r*v and give p.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + sqrt(5) + (sqrt(5) + (sqrt(5) - (0 + sqrt(5) + 1)))**2 - (-3 + 1 + (sqrt(20) - sqrt(5))) - (-3*sqrt(605)*-3 - 1*sqrt(605)*4)**2.\nAnswer: -15120 - 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 21 and 329.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29*n + 36*n + 2 + 49*n - 257*n to the form w + d*n and give d.\nAnswer: -143","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*((sqrt(1053) - (sqrt(1053) + -2*sqrt(1053) + 1)) + sqrt(1053) - sqrt(1053)) - 4*(-3*sqrt(1053) - sqrt(1053))*1)**2.\nAnswer: -720*sqrt(13) + 421204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33)\/(-2*sqrt(48)))**2.\nAnswer: 11\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1773 to the power of 1\/2, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (((-18)\/(234\/(-13)))\/(-1))\/((-2)\/18).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((((-132)\/(-9))\/(-22))\/(72\/513)).\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 191 = 2*t + 579. Let k = 1049 - t. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -275.15 rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 + 5. Let f(c) = c + 2*c**2 + 2 + 4 - t + c. Calculate f(-3).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2 (base 6) to base 11\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is a1 + 42044?\nAnswer: 42115","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 23579 = 810*r + 7379 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 1765 a factor of 94385140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -1\/9  (b) -1  (c) 56161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: (12\/(-10))\/((-12)\/(-18))*52875\/(-12690)\nAnswer: 15\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = s**2 - s + 1. Let u(z) = -z**2 + 3*z. Let p be ((-81)\/63)\/((-9)\/21). What is p*d(l) + u(l)?\nAnswer: 2*l**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -12599, -12565, -12555, -12569, -12607, -12669?\n\"Answer: -12*o**2 + 70*o - 12657","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = x**3 + 23*x**2 - 9*x + 116. Let q be f(-23). Calculate the highest common divisor of 34 and q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -26911\/12 - -2245. Let y = -3163\/2 + 1548. Find the common denominator of y and x.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/h**(-6))\/((h\/(h\/(h*h**(3\/7)))*h)\/h)*(h\/h**(-1))\/h*h*h**(3\/11))\/(h**11\/((h\/(h*h**(-2\/13)))\/h*h))**(-50) assuming h is positive.\nAnswer: h**(550702\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sp when two letters picked without replacement from sppppasjss?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -93 - -41?\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(f) = f**3 + 9*f**2 - 15*f + 5. Let p(l) = -2*l**3 - 8*l**2 + 14*l - 4. Let g(r) = -3*p(r) - 4*x(r). Suppose g(t) = 0. What is t?\nAnswer: 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 - -5) + 4 + -5. Solve -2 = 3*h - a*r, -20 = 5*h - 0*h + 5*r for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 - 49200?\nAnswer: -49200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12*x**4 + 16*x**3 - 4*x**2 - 4781*x?\nAnswer: 144*x**2 + 96*x - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uffuuuuuuu. What is prob of sequence uf?\nAnswer: 8\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -68 - -72. Calculate the lowest common multiple of 20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 658 + -707.5. Let p = 48.6 + c. What is the closest to -0.1 in 0.3, 0.1, p?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 166 a factor of 40401744?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -670 or -6242?\nAnswer: -670","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 364 and 62091068.\nAnswer: 434637476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b(v) = -145*v. Let r(i) be the second derivative of i**3\/2 - 28*i + 63. What is b(r(c))?\nAnswer: -435*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4 + -27775?\nAnswer: -27771","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 3*g, -m - 3*g + 6 + 2 = 0. Suppose w - 1 = 2*y, -13 = y + 57*w - 60*w. What is the closest to 0.1 in y, m, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2916 is divided by 968?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.9 in -0.031, -0.56, -11?\nAnswer: -0.56","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = -4, 5 = n - 4*w - w. Suppose -4*i = -n*i. Suppose 0 = -3*r + o + 7, -r - 3 = -0*r + 5*o. Solve i = -5*z - k, 4*z + 0*z = r*k for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1 - 64498*p**2 + 1 - 2.\nAnswer: -64498*p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 306763.6 nanoseconds?\nAnswer: 0.0003067636","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: (1178978\/246776 - 38\/8)\/(4 - 1)\nAnswer: 1\/109","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -53\/6030 and 103\/6982740.\nAnswer: 6982740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -195, -190, -181, -168, -151?\nAnswer: -130","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 25*l**2 + 4*l + 195. What are the prime factors of t(10)?\nAnswer: 5, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 7*r**2 - r - 10. Let h(p) = 3*p**2 - 9*p + 13. Let o be h(1). Calculate z(o).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 38081 (base 12) to base 14\nAnswer: 1da5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -24160 divided by 2\nAnswer: -12080","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 5 = 5. Let a(o) = -43360 + 43360 + o. Let l(b) = -8*b**2. Let g(p) = c*a(p) + l(p). Find the second derivative of g(q) wrt q.\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*y + 175358 - 41450 = 0. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + 12*u - 36 = 0. Solve v + v = u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d and 1 v when three letters picked without replacement from {i: 1, g: 2, n: 1, v: 2, k: 1, d: 2}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 510 - 135. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 8960569 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 114  (b) -0.5  (c) 4  (d) -1\/4  (e) -3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 106629?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 5*h = 25, 0*o + 20 = -5*o - 4*h. Suppose o = 90*q - 96*q + 12. Solve -5*z - q = 13 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 8236 is divided by 107.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -483.6 and -4?\nAnswer: 1934.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = -i. Suppose -5*g + 4*g = -8. Let n = g - 5. Let o(l) = l**2 - n*l**2 + 0*l**2. Give m(o(c)).\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**2 - 22*j - 55. Is t(-17) a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3217485473 to the nearest integer?\nAnswer: 56723","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -291, -281, -267, -249, -227?\n\"Answer: 2*p**2 + 4*p - 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 142 is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qwggwp. What is prob of sequence qp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -40 + 4.99537011?\nAnswer: -35.00462989","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 14546, 29117, 43668, 58199?\nAnswer: 72710","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 98 and 42?\nAnswer: 294","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = 7*n + 75. Does 38 divide d(11)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 37450 (base 13) in base 7?\nAnswer: 602542","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -30260 from -7587.\nAnswer: 22673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -40398769 by -467.\nAnswer: 86507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -3*j + 432. Suppose -k = -3*f - 0*k + j, -3*k = 4*f - 131. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.276 - -14.38. What is v rounded to 0 decimal places?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7*v + 24 = 31 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.07 - 0.39. Let p = -0.02 - m. Let n = 505.9 + -506. Which is the closest to p?  (a) -1\/2  (b) n  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 1, h: 3, q: 11}. What is prob of picking 1 q, 2 h, and 1 d?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -57501.7 - -56192.981. Let d = 1308 + w. Round d to one dp.\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth biggest value in 0.4, 0.5, 6, 48, -66, 0.2?\nAnswer: -66","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 153 a factor of 2037610?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-4)\/z)\/z*z**(-2\/7)*z**(2\/11)\/(z\/z**(2\/7)*z))\/(z**(-5)*z\/z**6*z**(-1\/6)*z**(-5)) assuming z is positive.\nAnswer: z**(551\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*h - 10 = 17*h + v, 5*v = -20 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5 - 19*x**3 - 14 - 23.\nAnswer: -19*x**3 - 32","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70*c + 64*c = -1104. What is the smallest common multiple of c and 1?\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - q - 5762, 2*t - 6*q = -q + 3824. Calculate the greatest common divisor of 62 and t.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20*d - 728 = -111*d for d.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-4)\/10 + (-1572)\/(-30). Suppose 9*r + 4 = 11*r. Let k = r - -11. What is the greatest common factor of o and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -31999 (base 10) to base 4.\nAnswer: -13303333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1488?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 8, -2*t - t = -4*q - 17. Suppose 5*w + 2*a = -5, 0*w - w + 2*a = -t. What is the units digit of w\/4 - (-46)\/8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*q - 223 = 712. List the prime factors of (-6)\/51 + (-1710)\/q.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.1*-0.0154789.\nAnswer: 0.00154789","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = r - 2*y, -3*r - 5*y = -y - 32. Let s be (3\/2)\/((-3)\/6). Let b be (s\/r)\/((-3)\/12). Solve -5*u = -22 - b for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.4 + -2123682289.\nAnswer: -2123682288.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 103 - 46. 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 u be (-1899)\/12*(-56)\/3696. Let h = 328619\/185350 + -2\/8425. Let t = u - h. Calculate the common denominator of -65\/14 and t.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1596 is divided by 48.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) be the first derivative of -m**4\/4 - 2*m**3 - 9*m**2\/2 - 15*m + 2328. Give v(-5).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + sqrt(192))*1)**2.\nAnswer: -64*sqrt(3) + 208","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ocii when four letters picked without replacement from cbooijfci.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = p**3 - 9*p**2 - 10*p + 1. What is f(10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - s + 5*s + (4 - 3 + 0)*(0 + s + 0))*(0 + 0 + 2).\nAnswer: 8*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 892247 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 41007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**2\/11 - 2705*w\/11 + 45696\/11.\nAnswer: (w - 2688)*(w - 17)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fmmvemzmqvmmvqv. Give prob of picking 1 z, 1 m, and 1 q.\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2870373 is divided by 124.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5286 by 1762.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g - 21 = -5*v, -7 = -v + 11*g - 12*g. What is the highest common divisor of 9215 and v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 45412100 to the power of 1\/3, to the nearest integer?\nAnswer: 357","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -3533600 to the nearest 10000.\nAnswer: -3530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0 + -5. Let c = -0.869 - 421.131. Let i = 426 + c. Sort 0.7, b, i in descending order.\nAnswer: i, 0.7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/((-3*(-8)\/72)\/1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 12 = -5*f, o + 2 = -0*o + 2*f. Let i be 322\/6 + 1\/3. Let m be -2 - 3\/(i\/(-33)). Which is the smallest value?  (a) o  (b) m  (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 98978350 a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 116977 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -14 - -17. Suppose 3*a - 25 = -i, 2*a - q*i - 45 = 2*i. What is the highest common divisor of a and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = y**3 + 18*y**2 - 6*y + 20. Let a = -33 - 70. Let k = a - -85. What is the tens digit of r(k)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 18386.1885 and 0.3.\nAnswer: 18386.4885","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.21, -3, 0.19 in descending order.\nAnswer: 0.21, 0.19, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2\/623 + -1228\/5607. Let f = -37.9 - -38. Let p = -1.958 - 0.042. Which is the closest to o?  (a) p  (b) -0.5  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000017977 rounded to 7 decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((i*i\/i**(-10)*i)\/(i\/i**10)*(i**(-2\/27)\/i)\/i**11)**18 assuming i is positive.\nAnswer: i**(536\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*k - k + 6*k)*(-2 - 2 + 3) + 1 - 2*k - 1 - 5*k + 4*k + 0*k + (-1 - 1 + 1)*(-2 + 2 + 2*k) to m + a*k and give a.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 58.\nAnswer: -5, -2, 58","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -48 divided by -24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (11 + 12*q - 11)*(-150*q - 87*q + 62*q).\nAnswer: -2100*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33163 is divided by 8283.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 47\/2 or 778.7?\nAnswer: 47\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: (7 - -10) + -44 - -21\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i = -i - z + 41, 2*i - 2*z - 28 = 0. Let u = 36 - i. Is 25 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(20) + sqrt(20) + sqrt(2420) + (sqrt(2420)*-2 - sqrt(2420)))\/sqrt(4))**2 + (sqrt(5) + (sqrt(5)*5*-2)**2 + sqrt(5))*6.\nAnswer: 12*sqrt(5) + 5000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 86133 and 86131 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p + 2*f - 38094 = 0, 4*f = -10*p + 15*p - 47585. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -72*a + 69*a = 4*g - 7, -1 = a - 10*g + 8 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -3 + 3. Suppose q = 2*t + t - 6. Suppose 2*h = -t*n + 42, 3*h = 4*n + 19 + 9. Solve -k + h = -5*k for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6155?\nAnswer: 5, 1231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 345 + 4495 = -l, -4150 = -5*a + 5*l. Suppose -m - 2*h + 1049 = 4*m, a = 4*m - 3*h. What is the hundreds digit of m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3\/6*(-39 - 1). Let q = u + 19. Let k be q + 18 + (7 - 4). Solve k = 4*h + 8 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-25)\/(-7))\/(((-2042)\/(-3063))\/(-14*3\/9)).\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*o**4 - 1 - 3*o**4 - 2*o**2 + 2*o**4 - 4*o**4 to y*o**3 + z*o**2 + c*o**4 + k + r*o and give c.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -41\/558 and -101\/1674.\nAnswer: 1674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6 + 4. Let q(f) = -2 - 1 - 4*f - 4*f**3 + 232*f**2 - 235*f**2. List the prime factors of q(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 18 = 3*c, c + 3 + 1 = d. Suppose 4*s = -3*q - 9, 9 = 3*s - d*s. Do -0.9 and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(((sqrt(605) + sqrt(605)*2)*-3)**2 + -3*(-1 + sqrt(605))**2).\nAnswer: -47187 - 66*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -22201111022211 (base 3) in base 11?\nAnswer: -2686567","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = w + 4. Let y be m(-3). Let s be (1\/(-3) + y)\/1. Let h = 0.02 + 1.98. Put s, -0.3, h in ascending order.\nAnswer: -0.3, s, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -105397, -210795, -316207, -421639, -527097, -632587?\nAnswer: -738115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:05 AM and 12:14 PM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(m) = -m + 6. Suppose -2*k = 4, 4*k - 20 = 4*y - 52. Let b be u(y). Put 1, b, 0.3 in decreasing order.\nAnswer: 1, 0.3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(b) = -5*b. Let y(u) = -420*u - 35. Let q(o) = 71*o + 6. Let j(z) = -35*q(z) - 6*y(z). Let h = 467 + -465. What is h*j(t) + 15*p(t)?\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -c + 247 = 2*j + 241, 7*j = 2*c + 10 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 623 minutes before 1:14 AM?\nAnswer: 2:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -45.1 + 45. Let p = 2.2 - 2. What is the second biggest value in y, 6, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 610464818 to the nearest integer?\nAnswer: 24708","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-20)\/(-1))\/(-5) - -9. Let g(r) = i*r - 6 - r - 5*r - 1. Give g(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a century in months?\nAnswer: 1500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 690?\nAnswer: 2, 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 6*o**2 + 35*o - 404. Let c be j(11). Is 702 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 20422 is divided by 1129?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 6901265, 13802531, 20703795, 27605057?\n\"Answer: -l**2 + 6901269*l - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*z - 4*b = 127, 457 = 5*z - 160*b + 267*b - 131*b for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -13 - -9. Let t(a) be the first derivative of a**3\/3 + 2*a**2 + 5*a + 688. Let d be t(q). Solve 0 = -2*s + 4*b + 5 + 3, 0 = s + d*b - 4 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 - 5 + 101*b - 49*b - 51*b + 2.\nAnswer: b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 60 and 2460.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33137 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10973384*o - 10973379*o = -3*d + 9, 2*d = -o + 13 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3.5 - 0.5. Let y = h - 4. Let t = y + 1.0002. What is t rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 115238 - 115238. Factor w - 10\/7*k**2 + 6\/7*k + 4\/7*k**3.\nAnswer: 2*k*(k - 1)*(2*k - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 88291?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-20)\/75*((-5)\/(-180))\/(3\/(-30))?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 61595003 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -12, 12, 96, 270, 564?\n\"Answer: 5*r**3 - 11*r - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 4*z - 3. Let q be (-36)\/(-15)*15\/6. Let i(u) = u**3 - 7*u**2 + 7*u - 4. Let p be i(q). Let g = p + 2. Give n(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3503 by -684.\nAnswer: 3503\/684","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*p + 38 = 8. Suppose 0 = p*f - 9*f + 492. What are the prime factors of f?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (18 - 0)*11\/(-3). Suppose 0 = 3*z + 2*k + 310, -4*z + 3*z - 100 = -k. Let x = m - z. What is the tens digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*((sqrt(119) + (sqrt(119) - 4*2*sqrt(119)))*5)\/(-1*(sqrt(252) + sqrt(252)*2 + sqrt(252) - sqrt(252)))*-4.\nAnswer: -100*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 247333*l - 185. Let r be u(8). Suppose -r + 130479 = -6*v. Round v to the nearest 100000.\nAnswer: 300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z**(-1\/4)\/z)\/z**(-5)*z**(1\/3)\/z*(z*z*z**(2\/15)*z*z*z)\/z*(z*z**(1\/3)\/z)**(3\/16)*z**(2\/5)*z*z*z\/(z\/z**(3\/2))*z assuming z is positive.\nAnswer: z**(2923\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 14*h = 90 - 454. Let d(w) = w**3 + 27*w**2 + 22*w + 32. What is the hundreds digit of d(h)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 + -6. Solve r = 2*h + 3 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (5*h - 6*h - 2*h)*(0 + h + 0)*(-2*h + 4 - 5 - 1) in the form c*h**3 + q*h + m + j*h**2 and give c.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -23725*g**2 + 23725*g**2 + 365*g**3 + 1456*g**3 - 113*g**3.\nAnswer: 1708*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*d**4 + 80*d**3 - 254*d**2 + 172*d.\nAnswer: 2*d*(d - 2)*(d - 1)*(d + 43)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, x: 2, b: 4, j: 6}. Give prob of sequence bj.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3646 - 3651. Let o(p) = -12*p. Determine o(z).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 5337469451 to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -4d4c7 (base 16) to base 11\nAnswer: -1a6972","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from fff. Give prob of sequence fff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 4*y - 3*y - 1117 + 1111. What is z(-2)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -178063\/12 - -14843. Calculate the common denominator of -33\/148 and l.\nAnswer: 444","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence en when two letters picked without replacement from likentinl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) be the third derivative of 3*d**2 - 1\/6*d**3 + 0 + 0*d + 1\/8*d**4. What is the units digit of g(4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 487 + -491. What is the third smallest value in -0.5, k, -0.1, 2\/11?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -75 - -179. Let y be (-18 - -13) + i*5. Let v = -335 + y. Is v a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -1517041111\/324 + 4682220. Let n = y - 35\/81. Let a = -2044 + 32631\/16. What is the common denominator of a and n?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from {a: 5, k: 2}.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -0.87 + -280.5\nAnswer: -281.37","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 633.1884 micrometers to kilometers.\nAnswer: 0.0000006331884","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 272397764.\nAnswer: 2, 4133, 16477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -27949314147.182 - -19?\nAnswer: -27949314128.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: (-12)\/(-10)*(34 - 29) + -4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(1\/3))**42\/(x**(1\/4)\/x**(-4))*(x**(1\/2)*x*x)**(-4\/25)*x**7*(x\/((x**(4\/5)*x)\/x))\/x assuming x is positive.\nAnswer: x**(1151\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) be the first derivative of -68 - 9*o**2 - 64 + 32. Let r(v) = -8*v**2. Give l(r(q)).\nAnswer: 144*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 211366?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-4)\/24 + (-163)\/(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5510030.028 - -0.02.\nAnswer: -5510030.008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 22934 + -13998. What are the prime factors of l?\nAnswer: 2, 1117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = l - 3*c + 6*c - 7, -12 = -4*c for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15, 37, 63, 93, 127, 165, 207?\nAnswer: 253","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 153096027?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2726 + -1781. Calculate the greatest common divisor of 75 and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 3 + 3)*(-32 - 115 + 30)*(-28 + 28 - 12*v) to f*v + x and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 3*s**5 + 45819*s**4 - 229191*s**3 - 320823*s**2 + 229188*s + 275004 = 0?\nAnswer: -15278, -1, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -11.7499999809 - -11.75. What is f rounded to 7 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3281 and 8299?\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 409908060*c*s + 182*c + 1483392 wrt s.\nAnswer: 409908060*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*u - 24900 + 80890 = 0. What is the lowest common multiple of 2 and u?\nAnswer: 5090","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) be the third derivative of -17*m**4\/12 - 187*m**3\/3 - 205*m**2 + 2*m. Does 20 divide o(-22)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*j - g = 19, -4*j = -5*g - 16 - 15 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(x) be the second derivative of 1\/12*x**4 - 1\/6*x**3 - 1\/20*x**5 + 0 - 5\/2*x**2 - 3*x. Let d be i(0). Put d, 0, -1 in decreasing order.\nAnswer: 0, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = m**2 + m + 1. Let f be y(-1). Let r = -7 + 2. What is the nearest to 0.1 in r, f, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w*((w*w**1)\/w)\/w))**4\/(((w\/w**(-16))\/w)\/(w*w*w*w**(10\/9))))**(-4) assuming w is positive.\nAnswer: w**(428\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 23448401 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 680 minutes before 8:59 PM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 9 - -2. Let f(p) = p**3 - 11*p**2 - p + 15. Let l be f(a). Suppose 0 = 4*m - m + c - 7, 3*m + l*c + 8 = 0. Solve 2*s - 6 = m*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.22 + -0.14. Let g = d + -0.04. Sort 2\/19, -2, g in descending order.\nAnswer: 2\/19, g, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h - h + 39. Is 13 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -369.8 + 370. Which is the smallest value?  (a) 0.3  (b) 2  (c) 0.07  (d) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = 5*a**2 + 3*a. Let j(p) be the third derivative of 11*p**5\/60 + 7*p**4\/24 + 6*p**2. Let c(d) = 3*j(d) - 7*u(d). Let l(v) = -5*v. What is c(l(b))?\nAnswer: -50*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 6466535 to the power of 1\/3, to the nearest integer?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = -2*i**3 - 3*i**2 + 3. Let p(y) = -17 - 2*y + 0*y + 17*y**2 + 2*y + 11*y**3. Give 34*f(g) + 6*p(g).\nAnswer: -2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or -4\/137475377?\nAnswer: -4\/137475377","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 44 and 979?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 806.3 + -806. Let s(t) be the third derivative of -t**5\/10 + t**3\/6 + 5*t**2. Let f be s(1). Put -16, f, m in descending order.\nAnswer: m, f, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 890162?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7 - 31 = 24*i for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 98140 rounded to the nearest 10000?\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 45*h - 222*h**2 - 13*h + 3 + 8*h + 128*h**2 + 115*h**2 to the form l*h**2 + q*h + k and give k.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -21370 or -21371?\nAnswer: -21370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 10:02 AM?\nAnswer: 4:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2790?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -2581 equal to -2576?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (7 - 51 + 154*o**4 - 144*o**4)*(-2 + 0 + 0).\nAnswer: -20*o**4 + 88","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 246 - -810.1114.\nAnswer: 1056.1114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes after 5:18 PM?\nAnswer: 12:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is (-11)\/55 - 6*(-5981)\/5 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -11*i + 7*i - 4. Let u be (-12)\/10*40\/12*i. Solve -6*v + 4*v = -u for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) = u**2 - 3*u + 11. Let b be f(11). Let d = b + -73. Which is bigger: d or 2?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36363174?\nAnswer: 2, 3, 113, 53633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (5 + (4*(sqrt(242) + 2 - sqrt(242)) + sqrt(242) - sqrt(242)))**2.\nAnswer: 165","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from unhhhhhhhn. Give prob of sequence nh.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*s - 5*s**3 - 30*s**3 - 15*s**3 - 1 in the form c*s**3 + g + x*s + r*s**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 19806, 79340, 178570, 317502, 496142, 714496?\n\"Answer: n**3 + 19842*n**2 + n - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g**(-1))**21*g\/(g*(((g**(-2)*g)\/g*g)\/g)\/g*g)*g*g**6\/g assuming g is positive.\nAnswer: g**(-13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is fifty-two fifths of a litre in millilitres?\nAnswer: 10400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000064213565 rounded to seven dps?\nAnswer: 0.0000642","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 81385 to the power of 1\/3, to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = 2*t**2 + 2695*t + 154459. What is u(-60)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2461 + -1215. Let s = 651 + -405. Suppose 4*j = -v + 255, -4*j = -4*v - s + x. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p - 5. Let n be w(5). Suppose 3*l = -n*l + 441. Let i = l - 96. Is 26 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7841408, -7841410, -7841412, -7841414, -7841416?\n\"Answer: -2*j - 7841406","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -257 = -5*h - 2*f, -h = -4*h + 5*f + 179. Suppose -2401 = -6*i + h. Does 30 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17\/(-9)*-3 - 2\/3?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = l + 4 - 6. Suppose 8*d - 28 = 4. Determine i so that 4*i - 2*i**2 - 6*i**3 + 2*i**3 - l*i**2 + 4*i**d = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 5*u**2 + 7*u - 7. Let m(w) = 2*w**2 + 3*w - 3. Let s(p) = 14*m(p) - 6*z(p). Let d(k) = 123*k. What is s(d(y))?\nAnswer: -30258*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 63331 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*i + 16 = 256. Suppose i*a + 48 = 33*a. Suppose 5*f - 24 = a. Is 10 equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of (-169)\/(-24) - 10\/15 and 95\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-77 + 4719)\/(4 - (5 - 2)). Calculate the highest common divisor of m and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -42\/355 - -439\/710. Let p = -101992\/105 + 2930\/3. Let t = p - 28\/5. What is the third smallest value in a, t, 2\/11?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 20, -3, -1, 2 in decreasing order.\nAnswer: 20, 4, 2, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*o = -174 - 756. Solve 14*g = -g - o for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x*x**(1\/8))**(-1\/2)\/(x**(4\/9)\/x)**12 assuming x is positive.\nAnswer: x**(293\/48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -32369*f**2. Let d(k) = 4*k. Calculate j(d(p)).\nAnswer: -517904*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*w = 2*w - 2. Which is smaller: 2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17 = s + 3*i, 6*s - 7*i + 9*i - 22 = 0. Let l(a) be the first derivative of 22 + a + 11\/2*a**s. Let c(f) = -2*f**2. Determine l(c(k)).\nAnswer: -22*k**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 5722?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a microgram in nanograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 0*f = -16. Solve 0 = -v - 3*m + 13, 6*v = 2*v + 3*m - f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 k and 1 t when two letters picked without replacement from {v: 2, k: 1, t: 4, h: 9}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(m) = m**2 + 5*m - 3. Calculate b(4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.4  (b) -0.140735  (c) -8.19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -1 - 21220?\nAnswer: -21221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -11472, -13971, -16470?\n\"Answer: -2499*d - 8973","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:09 AM and 10:57 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -5*i - 75, -3*i = 4*l - 3*l + 53. Let m(p) = -8*p - 84. Does 4 divide m(i)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 294 is divided by 96.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1\/1406204784 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -180*l - 119. Let h be b(-9). Let v = -800 + h. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g - 8 = 3*g. Let s be (1 + -1)\/(g - 3). Suppose -h**2 + s*h**2 - h**2 + 6*h = 0. What is h?\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (92\/16)\/((-2)\/(-24)). Suppose f + 37 = -v + 3*v, -3*v + z = 3*f. What is the least common multiple of v and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/2))**(-10\/13)*(h\/(h\/((h*h*h*h**2*h*h)\/h)))**13 assuming h is positive.\nAnswer: h**(1019\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(187) + sqrt(187)*2)*-6)\/(sqrt(11) + sqrt(66)\/(1*sqrt(6))).\nAnswer: -9*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 117*m - 192*m = -107*m + 576 for m.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 902572?\nAnswer: 2, 11, 73, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*f - 5288 = -520. Let t = f + 572. Sort 0, -5, t in ascending order.\nAnswer: t, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/716 and 47\/537.\nAnswer: 2148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/w**(-1))**(-12))**(-1\/2)\/((w**1\/w)**20\/((w\/((w\/(w*w**(-6)*w))\/w*w))\/w*w**7)) assuming w is positive.\nAnswer: w**14","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -297009892300 rounded to the nearest one million?\nAnswer: -297010000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -4*l + 6. Let n(y) = 15*y - 23. Let q(r) = 22*h(r) + 6*n(r). Let w be q(4). Suppose -w*f - 3*f + 335 = 0. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(u) = 130*u**2 - 3*u + 6. Let o(l) = -388*l**2 + 8*l - 16. Let k(c) = -3*o(c) - 8*t(c). Let h(j) = -j. Give h(k(p)).\nAnswer: -124*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -i**3 + 9*i**2 + 11*i - 10. Let m be g(10). Let k = m - 5. Let w = k + 15. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 3*g + 29. Let q(a) = -a**3 - 6*a**2 - 4*a - 7. Let s be q(-5). Let r be w(s). Are r and -5 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 125358 is divided by 11395.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*g + 16, 2*q - 3*g - 615 - 499 = 0. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1454 and 20.\nAnswer: 14540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) be the first derivative of 3 + 1\/2*l**2 + 0*l. Let v(o) = 4*o + 2. Calculate -3*r(u) + v(u).\nAnswer: u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*j**3\/9 + 117764*j**2\/9 - 78514*j\/3 - 39256 = 0. Calculate j.\nAnswer: -58884, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) be the third derivative of -v**6\/120 - 17*v**5\/60 - 16*v**2. What is the third derivative of n(a) wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 13668?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -30313231102 (base 4) in base 5?\nAnswer: -1330431111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2\/5, 0.085, 3.94, 3, 0.24.\nAnswer: 0.085, 0.24, 2\/5, 3, 3.94","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 110246?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.5 - 2.42. Let o = z + 6.18. What is o rounded to zero decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (11470\/186 - 62)*0. Find n such that 1472\/3*n**2 + 1256\/9*n**3 - 304\/9*n**4 + p + 128*n + 14\/9*n**5 = 0.\nAnswer: -2, -2\/7, 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*w**2 - 8100*w + 48780.\nAnswer: -5*(w - 6)*(w + 1626)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 72 = 8*p + 4*p for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 165 - -32?\nAnswer: 197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -3310*m + 566012. Calculate i(171).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-2)\/(-27) - ((-66928)\/432 - 23). Solve d*m + 40 = 186*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 2490 and -14?\nAnswer: -34860","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -15 - -3. Let v be (152\/(-10))\/(1\/(-5)). Let u be 704000\/y*(v - 1). Round u to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 971 times 0.128?\nAnswer: 124.288","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) be the first derivative of -r**6\/900 - r**5\/75 - r**4\/20 - 5*r**3 + 2. Let y(b) be the third derivative of x(b). Find t such that y(t) = 0.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 566 - 555. Let y be (-10)\/l*-3*1\/3. Let y*d - 12\/11 - 2\/11*d**2 = 0. What is d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = -q**3 - q**2 + 44*q + 4. Let n be y(0). Sort -30, 5, n, 1 in decreasing order.\nAnswer: 5, n, 1, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) = 0 + t**2 + 2 - 6*t + t. Let f be b(5). Suppose -3 = -x - f. What is the closest to 0 in 6, 0.5, x?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 3 - -1. Let v(z) be the third derivative of 0*z**f + 0 + 1\/30*z**5 + 0*z + 1\/3*z**3 - z**2. What is the first derivative of v(h) wrt h?\nAnswer: 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17721593?\nAnswer: 3089, 5737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = r + 4. Suppose -10 = -5*l - 70. Let f = 21 + l. Let j(b) = b - 10 - 2 - f - 6*b. Calculate 11*g(i) + 2*j(i).\nAnswer: i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 458 minutes after 7:30 AM?\nAnswer: 3:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 2, -0.4, 20, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.02 - -114867.\nAnswer: 114867.02","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 101046 is divided by 42?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*y - 1013 = -2*y. Let w = -1677 - y. Let m be (-2)\/9 + w\/(-72). Calculate the highest common factor of m and 72.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.2, -2.9345, -0.3, -1\/7 in descending order.\nAnswer: -1\/7, -0.2, -0.3, -2.9345","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/(-34)*1)\/(75978\/78143373)?\nAnswer: 121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of ((-2)\/(8*-2))\/(178\/464*76) and 75\/4.\nAnswer: 6764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r = -0 - 6. Suppose -2*g + r = -0*g. Let y be (3 + -2)\/(g\/(-5)). Let t(f) = -f - 1. Give t(y).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6 (base 13) to base 6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 19 = 10*y - 31 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 469, 1255, 2029, 2785, 3517?\nAnswer: 4219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: (23 + 1 + 0)*(14300\/(-195))\/(-44)\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1 + 14 + (73 - (61 - -20))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) 1.3  (b) -136  (c) 9  (d) 2  (e) 13  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*-1*sqrt(27))\/(sqrt(9) + sqrt(36)*-2).\nAnswer: -sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) be the first derivative of 5*d**4\/4 - d - 194. What is the derivative of x(g) wrt g?\nAnswer: 15*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 284754 divided by -3.\nAnswer: -94918","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 730193 to the nearest integer?\nAnswer: 855","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t + 4*t + 24 = 0. What are the prime factors of t\/(-4) - -17 - 0?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2725 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -4 + -1. Let n = -27 - -27.4. Which is the second biggest value?  (a) n  (b) t  (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16 - -40. Let x = -31.104 - 0.896. Let f = x + s. Does f = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -16a (base 14) to base 10.\nAnswer: -290","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 121405455 divided by 3?\nAnswer: 40468485","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -4.8+2690483\nAnswer: 2690478.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 19712475?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = 5*q - 2*o, 0*o - 8 = -2*o. Let s = 4 + -2. Solve -2*u**2 - 2*u + 2*u**s + q*u**3 = 0 for u.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = 215*o - 2368. Determine m(11).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -14 - (-47 + 12 + 11)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 - -6361.443?\nAnswer: 6360.443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 26*u - 203*u + 32*u + 2320 for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -965 divided by 6?\nAnswer: -965\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -543*w + 1576 + 8119 = -79 for w.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -17 + 2\/(-2) + 2. Let w = -13 - c. Find the first derivative of -3*m**3 - 3 + 1 + 7*m**w - 1 wrt m.\nAnswer: 12*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*y = -60*y + 610. Let x = y - -336. Is x a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 2.73 to one dp.\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = o**2 - 7*o - 5. Let m(w) = w**2 - 2*w + 6. Let p be m(3). Is y(p) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 79 + -15. Let x be 15 - -4*2\/(-8)*-1. What is the greatest common factor of x and k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*u = u - 4. Suppose -u*h + 25 = h. Suppose h*i + 314 = 4*n, n - 41 - 39 = 2*i. What is the highest common divisor of n and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1237735930 to the power of 1\/8, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 674.0473l in millilitres?\nAnswer: 674047.3","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 21846656.\nAnswer: 2, 13, 19, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -113549 - -113553. What is w in 6\/7*w**2 + 2\/7*w**a + 8\/7*w - 8\/7 - 8\/7*w**3 = 0?\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - p = -j + 3, -4*p = 12. Suppose -2*t - t + 9 = j. What is the highest common divisor of 12 and t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p + 44 = -d - d, -d = 3*p - 23. Suppose -5*z - p + 4 = 0. Sort 5, z, 2.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that 12*a**5 - 520*a**4 - 36328*a**3 - 23456*a**2 + 36316*a + 23976 = 0.\nAnswer: -37, -1, -2\/3, 1, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -7 in -5, 3\/4, 0.5, -4\/9, 247, 2\/45?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*g**2\/13 - 4898*g\/13 + 29316\/13 = 0. Calculate g.\nAnswer: 6, 2443","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (-3)\/27 + (-35790)\/(-135) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 116 + -115. Which is smaller: f or -1.9?\nAnswer: -1.9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 12.1 + -22.1. What is the nearest to c in -1, -2\/7, 0.05?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 75*l + 147*l + 41*l - 8*l.\nAnswer: 255*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 29135 to the power of 1\/2, to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) be the second derivative of -2\/3*b**4 + 0 + 0*b**2 + 1\/15*b**6 + 0*b**5 + 0*b**3 - 17*b. Factor m(s).\nAnswer: 2*s**2*(s - 2)*(s + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:40 PM and 3:45 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: (-116 - (103 - 223)) + -89\nAnswer: -85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 65717652 and 3698396.\nAnswer: 854329476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 83\/1743*(0 + 6). Which is smaller: -206 or w?\nAnswer: -206","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = j**3 + 17*j**2 - 21*j + 3. Calculate v(-18).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = q + a - 35, 4*q - 2*a + 2436 = 2396 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = -41*p**3 + 2*p**2 + 10*p - 13. Determine j(1).\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 9 * -1.9\nAnswer: -17.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 4*a = 8, 2*s - a + 0*a = 12. Suppose 0 = -3*r - r. Suppose 3*o + r = 6. Solve 0 = -o*h - 2*h - s for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1926529?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-81 + 159 - 159*o**3 - 78)*(3*o - o - o).\nAnswer: -159*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g**2\/3 + 2630*g + 3159904\/3 = 0. Calculate g.\nAnswer: -382, 8272","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + (-3*2*sqrt(252) - sqrt(252) - 6*(sqrt(252) + 1))*2 + 4.\nAnswer: -156*sqrt(7) - 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h**3\/5 - 2897007*h**2\/5 + 47507889*h - 4869455241\/5 = 0. What is h?\nAnswer: 41, 965587","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 11 (base 11) to base 10\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from {t: 4, z: 6}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in -1\/4, 0.4, 0, -1225?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 33141 is divided by 146.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 48, 428, 1466, 3492, 6836, 11828?\n\"Answer: 55*l**3 - l**2 - 2*l - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1)\/2 + (-33)\/(-2) + 4. Suppose -22*y + k = -24. Calculate the greatest common factor of y and 54.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6079568 divided by 18?\nAnswer: -3039784\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t**3 + 9*t**2 + 3*t - 12. Let q be g(9). Which is greater: 14 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - 3 = l, 4*l + 3*c + 12 = 8*c for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 26052.36 - 0.043890026\nAnswer: 26052.316109974","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*r = -0*r. Solve r*i - i = 3 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (15\/4)\/(6\/32). Let n be (24\/l)\/((-6)\/(-20)). Is 33*1 - (3 - n) a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 288  (b) -0.02  (c) 350.76\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 98558381?\nAnswer: 23, 4285147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 782232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 612 - 121. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 360 minutes before 9:52 AM?\nAnswer: 3:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -0.2, 5, -5\/107, 10\/17?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 232*t**2*x**2 - 556*t**2*z - 27*t*x**2*z - x**2*z - 70*x**2 - x with respect to z.\nAnswer: -556*t**2 - 27*t*x**2 - x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in -17\/23, -1\/179, -3?\nAnswer: -1\/179","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4300 is divided by 24?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -3*m**2\/2 - 615164010*m - 63071126533213350 = 0?\nAnswer: -205054670","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 766 - 764. Solve -j*i = -17*i + 9*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -b**3 + b**2 + b. Let o(n) = -3*n**3 + 2*n**2 + 3*n + 1. Let d(l) = 17*m(l) - 6*o(l). Let j be d(-5). What are the prime factors of 34 + -1 + -1 + j?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -18*d**2 - 26*d - 11. Let k(b) = -6*b**2 - 9*b - 4. Let c(f) = 17*k(f) - 6*v(f). Let w be c(2). Suppose t + 3*t = w. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 469?\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -30 - -35. Let t = 28 - 67. Let s = t - -39. Which is the closest to 1?  (a) 2\/3  (b) s  (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84 = 4*k + 3*k. Let q be (-12)\/9*3\/(-2). Let a(p) = -k - p**q + 12. Let w(b) = b. What is a(w(y))?\nAnswer: -y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23167.\nAnswer: 23167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 1313460?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -934*y**2 + 142*y - 282. Let l be z(2). Which is smaller: l or -3735?\nAnswer: -3735","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 103560579 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-18)\/12 + (-4 - -9*14\/21). What is the fifth smallest value in -0.2, j, 2\/7, -5, 0.04?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z - 27 = -12. Suppose 2*l = z*l - 2. Differentiate a**2 - 2*a**l - 3 + 1 with respect to a.\nAnswer: -2*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -64 = -3*f + 2*g, -g + 25 = f + 2*g. Let u = f - -7. Calculate the remainder when u is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = 437*p + 1950. What is the units digit of f(14)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -16 - -22. Let r(f) = -f**3 + 5*f**2 + 4*f + 4. What is r(p)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 383 + -367. Solve 46 = -6*l + j for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (1476\/(-24))\/((((-396)\/(-8))\/(-11))\/(-3))\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -3.579 and 5.\nAnswer: 1.421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 104*o + 30*o + 5 - 7 + 20*o.\nAnswer: 154*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 431700 rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -62 + 104. Let j be b\/10 - (-40)\/50. Solve t + 4*t = -j for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(u) = -2*u**2 - 223*u - 5305. Give r(-46).\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 325 - 988\/3. Is -3 at least t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2 + 25 - 24 + 16 + 7 - 10*z.\nAnswer: (z - 6)*(z - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1062959?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(840\/48))\/(6\/420)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (40*b - 42*b + 105 + 23)*(0*b + 0*b + 2*b).\nAnswer: -4*b**2 + 256*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -7*h**2 - 2*h + 4. Let m(n) be the first derivative of n**3 + n**2\/2 - 2*n - 1. Let o be (394\/12805)\/((-14)\/(-910)). What is o*v(z) + 5*m(z)?\nAnswer: z**2 + z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -10 - -10. Let s(g) be the third derivative of -1\/12*g**4 + 0*g - 1\/60*g**5 + 2*g**2 - 1\/6*g**3 + c. What is h in s(h) = 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -1180 + 860 - 7*y**2 - 507*y + 3*y**2 + 183*y.\nAnswer: -4*(y + 1)*(y + 80)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(m) = 19*m**2 - 10*m - 1. Let y be o(3). Let i be (-6)\/y + 18\/126. Let a = 0.9 + 3.1. Sort i, 1, a, 1\/4 in ascending order.\nAnswer: i, 1\/4, 1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1012\/565 - 1\/113. Is -2 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 55 + -47. Suppose 190 + j = b. What is the tens digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 809378?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1086277 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:43 PM and 12:06 AM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 110 + -115. Which is the nearest to 0.1?  (a) -0.19  (b) -3\/5  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 904769893 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(r) = -r**3 + 7*r**2 + 10*r - 14. Let m be q(8). Suppose -2*a - 3*b = -15, m*b = 4*a - 62 - 8. Is a a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -8  (b) 4\/5  (c) 5  (d) -1\/8  (e) 47  (f) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 1436295834 to the power of 1\/10, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 29005449 and 99?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 427 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**10\/j*j**17 assuming j is positive.\nAnswer: j**26","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -17853750 divided by 135.\nAnswer: -132250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 w when two letters picked without replacement from dhewiehcwiwewewhwwwc.\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:20 PM and 1:00 AM?\nAnswer: 400","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 2730499.8 seconds in minutes?\nAnswer: 45508.33","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y - 2 = -10. Suppose y*c = 11 + 5. Let u(h) = -h**3 - 4*h**2 + 3*h + 3. Calculate the remainder when u(-5) is divided by c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-3)\/1 + (1 - -3). Sort 3, -1, a.\nAnswer: -1, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u. Suppose 0 = 2*d + 2*d + 16, g = 4*d + 64. Let r(c) = g*c + 24 - 48 + 24. What is r(w(v))?\nAnswer: 144*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2768 - 2765. Let h(q) be the third derivative of 0 - 1\/12*q**5 + 0*q**4 + 1\/120*q**6 + 0*q - 2\/3*q**l - 19*q**2. Determine h(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4.84 + -0.6\nAnswer: -5.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*c - 23 = 3*s - 10*c, 9 = -4*s + c for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2998813 centuries in millennia?\nAnswer: 0.02998813","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(1573)*2 - (-2 + sqrt(13)*-2 - sqrt(26)\/sqrt(2)*3))**2.\nAnswer: -156*sqrt(13) + 19777","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**(-3\/5)*f**1*(f\/f**(2\/15))\/f*f**3)\/(f*f**(-5\/7)*f*f\/f**(-1\/2))**(-6) assuming f is positive.\nAnswer: f**(2203\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 349612?\nAnswer: 2, 87403","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kppkkkpykpykkykk. Give prob of sequence ykkp.\nAnswer: 9\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -56.7 and -53015202?\nAnswer: 53015145.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 14 = -3*c. Is 1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 24 + (-30 + 24 - 17).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = -6*s**2 - 5*s + 14. Let c(m) = -4*m**2 - 3*m + 9. Determine 8*c(k) - 5*j(k).\nAnswer: -2*k**2 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 6431.986l to millilitres.\nAnswer: 6431986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 169 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -1.3 times -18.631679\nAnswer: 24.2211827","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -60*l**3 + l**2 - 1. Let i be b(-1). Suppose -7*r - i = -3*k - 4*r, -4*k - 4*r + 96 = 0. Let h = k - -4. Does 7 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135 is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1190 and -45?\nAnswer: 53550","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-76)\/52)\/(67\/(-871)). Calculate the greatest common factor of d and 29716.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*((sqrt(1250) - sqrt(1250)*-1) + -3*sqrt(450))*-6.\nAnswer: -180*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 - 9*d**2 + 9*d - 2. Let m be x(8). Let i(b) = -b + 7. Let f be i(m). Let r = 3 - f. List the prime factors of r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = l - 5. Let t be u(0). Suppose 14 = -4*c + 74. Suppose 0 = 12*s - 17*s + c. Put t, 2, s in decreasing order.\nAnswer: s, 2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18413456 is divided by 2301682.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -20 + 0?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1960581415?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3531 in -11, -12, 0.27?\nAnswer: 0.27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/5 in 1.3, -1\/2, -2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 26 + -17. Let u be (3 + g)*(-2)\/(-6). Suppose -2*y + 3*z = 2*z - 8, 0 = 4*y + 5*z - 30. Put y, u, 1 in decreasing order.\nAnswer: y, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 264?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1405.\nAnswer: 5, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v**(-1)*v*v\/(v\/(v\/(v**(-1)*v)))*(v*v**(2\/21))\/v*v**(-3\/2))**14 assuming v is positive.\nAnswer: v**(-17\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*2*(4 + 1 + sqrt(720) - sqrt(720) - sqrt(720)))**2.\nAnswer: -7680*sqrt(5) + 47680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + (2\/(-13))\/((-30)\/465) + (-4)\/13.\nAnswer: 14\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 4\/10 + 2\/(-5). Suppose u = -5*q - 12 - 3. Let a be (-2)\/(q\/(1 + 5)). Solve s = 3*s + a for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*a + 0 = 2, 137*r + 5 = 141*r - 3*a for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 23 - -2343132?\nAnswer: 2343210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) be the first derivative of f**4\/4 + 2*f**3 + 3*f**2\/2 - 5*f - 1. Let r be g(-5). Suppose -32 - 18 = -r*z. Solve -x = x + z for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -42004*980.7.\nAnswer: -41193322.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -8658 (base 9) to base 10\nAnswer: -6371","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence eoo when three letters picked without replacement from {e: 2, r: 1, j: 14, o: 2}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g**3 + 81*g**2*v**2 + 3*v**2 + 8*v with respect to g.\nAnswer: 3*g**2 + 162*g*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -1\/4, 1\/6, 0.00074, -5, -1\/6?\nAnswer: 0.00074","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(-5*((sqrt(1210)*-2)\/sqrt(2))**2 - (1*sqrt(605)*-5*-2)**2).\nAnswer: 72600","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 124.3 + -124.26796. What is s rounded to 3 dps?\nAnswer: 0.032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 1314*u + 302191. Calculate d(-230).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 307034?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1107765 is divided by 1212?\nAnswer: 1209","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 3*p**2 + 6*p**2 - 2 + 5 + p - 11*p**2. Let d be i(0). What is the hundreds digit of 1\/d + 9165\/45?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = 235*j - 649. Is 148 a factor of k(27)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*j - s + 3 + 1, -2 = -5*j - 2*s. Let p be j - (0 - 408\/2). Let g = -115 + p. Calculate the greatest common divisor of 13 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*z - z - z + z + 4*z - 3*z + (6*z + 0*z - 4*z)*(0 + 0 + 2) + 8*z + 9 - 9.\nAnswer: 12*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -69, -5, 1 in descending order.\nAnswer: 1, -4, -5, -69","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) be the second derivative of 0*t**3 - t + 1\/6*t**4 + 0*t**2 + 0. Let o(n) be the third derivative of -n**4\/24 + 32*n**2. What is o(y(r))?\nAnswer: -2*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = -21 - 19 - 2*d + 34. Let x(y) = -9*y - 13. Let i(k) = -6*k - 9. Let p(t) = 8*i(t) - 5*x(t). Determine -6*p(a) + 7*w(a).\nAnswer: 4*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 2029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 74121 is divided by 79?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x**2 + 3. Let w be l(0). Suppose -5 + w = -2*m. Solve -j - 4*d = -10, -5*j - 2*d - 3 = m for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 15780, 30608, 45436?\nAnswer: 60264","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -33062 + 64433. List the prime factors of t.\nAnswer: 3, 10457","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 70.2 + -65. Let a = -5 + s. What is the second smallest value in a, -4, -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c\/(c*c**(-32)*c))\/c)\/(c*c\/(c*c*c**(1\/51)))*((c**(6\/13)*c*c)\/c)\/c**11 assuming c is positive.\nAnswer: c**(13579\/663)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**2 - 2*j + 1. Let k(c) = c**2 + c + 1. Let s be k(-2). Let i be u(s). Let w(m) = -3*m + 0*m - 2 + i*m. Give w(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1618935632 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by 513947\nAnswer: -2\/513947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -1\/2, 412804, 8 in decreasing order.\nAnswer: 412804, 8, 3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Express 13 + 3*q + 8*q**2 - 5*q**4 + 0*q**2 + 0*q + 5*q**3 - 6*q**3 - 7*q**2 in the form w + i*q**2 + f*q**3 + l*q + y*q**4 and give l.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -100707 (base 9) to base 16\nAnswer: -e8e7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42*y - 279*y + 335964327 = 0. Is y 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 22769462 to the nearest integer?\nAnswer: 4772","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -526*l + 64439948 + 84544051 = 11848961. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3400977 to the power of 1\/3, to the nearest integer?\nAnswer: 150","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -47*o. Suppose 3*a + 12 = 0, -j - 20 = j + 5*a. Let z(i) = i + j*i - i + i**2. Calculate h(z(v)).\nAnswer: -47*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) = 2*j**2 - 121*j - 186. Let y be t(62). Solve y = 5*r + 5*s + 35, -5 = r + 2*s + 4 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 0.29, 4, -5 in increasing order.\nAnswer: -5, -1\/3, 0.29, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*l + 3*l + 25 = 0. Suppose 0 = -2*q + 6 + 2. Suppose -4*o = -4*f, -4*f + 5*f - 10 = -q*o. Solve 2*c - f = -l*d, -d = 3*d + 2*c for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (10\/4)\/((-2)\/(-36)). Suppose -2*d + 3*d - 3 = 0. Suppose -3*c + 5 = -5*n - 38, 0 = -3*n - d*c - k. What is n rounded to the nearest integer?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 6*d**2 - 12*d - 4. Let n be y(3). Solve -2 = 4*p + 2*f, 36 - n = -5*p + 4*f for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*r, -4*s - 3*r = -6*s + 666. Are s and 333 non-equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -219223, -438447, -657671, -876895?\n\"Answer: -219224*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is r in -3*r**2 + 399231*r + 399234 = 0?\nAnswer: -1, 133078","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 133 a factor of 2303052199?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 5818.192mm in kilometers?\nAnswer: 0.005818192","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -2*s**3 + 19*s**2 - 21*s - 13. Determine q(8).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = -5*q - 3 + 0*q**2 - q**2 + 1. Suppose 0 = 7*t + 77 - 49. Determine x(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 1 = 2*k - s, 3*k - 2*s - 16 = 0. Solve -2*b = g - 4 - 0, 4*b = k*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(n) be the second derivative of -27*n**5\/20 + 3*n**3 - 16*n. Find the second derivative of b(o) wrt o.\nAnswer: -162*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (5 + -4)\/(1 - 0) - 5. Let l be 2512\/20 + p\/(-10). Find the second derivative of -10*d - 12*d**4 + 30*d**4 - l*d**2 + 126*d**2 wrt d.\nAnswer: 216*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 8, o: 2}. Give prob of sequence oee.\nAnswer: 7\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-156)\/(-72))\/((-33)\/(-198)).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 3712 = 4*o, -5*o + 5564 = -6*f + 9*f. Is 44 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2203.12 + 2159. Let k = -44 - d. What is k rounded to 1 dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -2*v**2 + 9*v + 13. Let f be j(5). Solve z + f = -z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(2448)*-1*-1)**2 + 2.\nAnswer: 2450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Does 103 divide 566382?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of h**5\/110 + h**4\/66 + 17*h - 13. Let c(d) be the first derivative of x(d). Find b such that c(b) = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 62628, 130909, 199190, 267471, 335752, 404033?\n\"Answer: 68281*w - 5653","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: ((-11)\/((-7)\/7))\/((-20)\/720*-18)\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -239 - -238. Put i, 3, -4, -12 in ascending order.\nAnswer: -12, -4, i, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -3*o**2 + o - 73 + 39 - 155*o**3 + 38 + 2*o. Let b be h(-1). Let z(a) = -a + 10. Let y be z(-7). Calculate the highest common divisor of y and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/(-2)*40\/90.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-16)\/8*1\/(-1). Is -4 + (2 - (-6364)\/8*k) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence se when two letters picked without replacement from erzysxr.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13081 + -13084. Put 1, -5, d, -2, 60 in increasing order.\nAnswer: -5, d, -2, 1, 60","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from gcccccccgccccccccccc. Give prob of sequence cgg.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 2266541?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -3962, -3963, -3964, -3965, -3966, -3967?\n\"Answer: -p - 3961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -74 or -75?\nAnswer: -75","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -2*s + 42. Suppose s*i - 2*a + 12 = 79, 0 = -4*i - 3*a + 78. Let j(r) = -6*r - i + 21. Let n(u) = -4*u**2. Give n(j(p)).\nAnswer: -144*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.08652 and 4?\nAnswer: 4.08652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 317, 3\/5, 0.5, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 83, 79, 77, 77, 79, 83?\nAnswer: 89","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 47*b**2*c**4 - b**2*c**2 - b**2*c + 3*b**2 + 4*b*c - c**2 - 45 wrt c?\nAnswer: 564*b**2*c**2 - 2*b**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-44)\/18*-3)\/(1889\/(-5667))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 2*w**2. Let u(i) = 327*i**2 + 1. What is u(p(l))?\nAnswer: 1308*l**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -3\/2*j**2 + 0*j**3 + 0*j**4 - 1\/10*j**6 + 0*j**5 + 0 - 2*j. What is the derivative of g(l) wrt l?\nAnswer: -12*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddzm when four letters picked without replacement from {m: 4, d: 2, a: 2, z: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -34 + 45 - 55*q + 8*q. Let p(t) = 16*t - 4. Let a(x) = 3*j(x) + 8*p(x). Let n be a(3). Round n to the nearest ten.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8177 to the power of 1\/2, to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -846*r - 2404*r + 29250 for r.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + -17 + (2 - (-2 - -9)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 126 + -125.9. What is the fourth biggest value in 4\/3, j, -46, -0.4?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -19 - -29. Suppose -4*p - 18 = 2*w, 8*w = 13*w - p - c. Solve -w = -4*k + 19 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 148 and 222?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {s: 12, u: 4, o: 3, k: 1}. What is prob of picking 1 o, 1 u, and 1 k?\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = -8*f + 4*f**2 - 9 - 5*f**2 + 3*f - 6*f**2. Let d(i) = 3*i**2 + 2*i + 4. Suppose -22 = 4*s + v - 3, 4*s - 3*v + 23 = 0. Give s*d(q) - 2*o(q).\nAnswer: -q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -10.07 or -0.28?\nAnswer: -10.07","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -k + 4*k - 690. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 176 - 122. Find the second derivative of 17*v + 1833*v**3 - y*v - 1814*v**3 wrt v.\nAnswer: 114*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.2 + -0.8. Let i = -1 - -3. Suppose -12 = 5*n - 3*n. What is the third biggest value in i, n, r?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c + 4*i - 3*i + 17 = 0, -2*c + i = 4. Let w = -116.02 + 114. Let y = w - -0.02. Which is greater: y or c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 96 - 73. Suppose -5*u - q + 1785 = -6*q, 0 = 3*q + 3. Suppose 3*a = -a + u. Calculate the remainder when a is divided by j.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 24 - 19. Suppose 45 = y*x - 420. Does 22 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29361*w + 29358*w - 3 + 3.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4684818 is divided by 35?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.08295 + 0.05405. Put -5, o, 0.07 in descending order.\nAnswer: o, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that -21*d**5\/2 + 1956*d**4 - 184593*d**3\/2 + 112143*d**2 + 155082*d - 51324 = 0.\nAnswer: -1, 2\/7, 2, 91, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 515*h**3*v**2 + 5*h**3*v - 4*h*v**2 + 6*v wrt v?\nAnswer: 1030*h**3 - 8*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*i - 2 - 13. Suppose 0 = i*u - 33. Solve c - 3*s = -0*s - u, 4*c - 4*s = -12 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 4846?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 190161, 190880, 191599, 192318?\n\"Answer: 719*a + 189442","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11730677?\nAnswer: 7, 967, 1733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31540*a**2 - 7*a**3 + 31540*a**2.\nAnswer: -7*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 2*q - 3. Let l(d) = d - 5. Let o be l(9). Suppose z = 2*z - o. Does 3 divide v(z)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -8*o**2 + 2*o**3 + 5*o**3 - 13*o**3 + 4*o**3 to t*o + f*o**3 + p + z*o**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 3116 - 3107. Solve 32 = q*g + 5 for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7 = 4*w + b, 3*w - 3*b + 1656 = 1647 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 3*g - 282. What are the prime factors of g?\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -2 - -2. Let s = 32 + -28. Suppose 5*g + 10 = -3*k, s*g - g = k - 6. Put 2, v, g in decreasing order.\nAnswer: 2, v, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*b*u - b + 7346792*u - 10059511 wrt u?\nAnswer: -2*b + 7346792","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.5  (b) 0.2  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3471043 is divided by 54235.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -60 - -64. Suppose 3*h = -h + 72. Let d = h - 109\/6. Which is the third smallest value?  (a) 15  (b) d  (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*g + 2*g + 66. Let v(j) = 11*j**3 + g*j - 5*j + 5 - 6*j. Let x(c) = -6*c**3 + 3*c - 3. Give 3*v(r) + 5*x(r).\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:03 PM and 3:05 PM?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (2 + 28\/(-18))\/(21\/(-378)*-2). Let i = -6 + -9. Let t be 2*1*i\/(-6). Solve 10 = t*u - 2*s - 2, 4 = -a*s for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 171846 is divided by 3068?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -1 - -15. What is the remainder when 40 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**2 - 25*y - 2132. What is n(59)?\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find r such that 2*r**2 + 50554172*r + 319465538325698 = 0.\nAnswer: -12638543","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3911784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4 + sqrt(49)\/sqrt(63) - ((sqrt(63)\/sqrt(3))\/sqrt(3) + -1)**2) + (2 + (sqrt(175) + -1 + 1 - sqrt(175)))**2*-5.\nAnswer: -24 + 7*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1b3 - 2?\nAnswer: 1b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1238, -1493, -1926, -2543, -3350?\nAnswer: -4353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 61 + -52. Let y be ((-66)\/4)\/(h\/(-12)). What is the highest common factor of y and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 575 + 8784675.\nAnswer: 8785250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 0.2570264ns?\nAnswer: 0.0000000002570264","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4893 = -1671*c + 16830 for c.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -297265*y + 297261*y - 120 = -3*x, -4*x + 27*y = -810 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 51 and 217413.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2\/(-4))\/(69\/(-9)). Let o = w + -193\/138. Let h = -2 + 4. What is the nearest to 0.1 in 0.1, h, o?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -1  (b) -15941  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13*k**3*n**3*y + k**3*n*y + 7*k**2*n**3*y - 3*k**2*y - 4*k*n**2 - 5*k wrt n?\nAnswer: -78*k**3*y + 42*k**2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = t**3 - 29*t**2 - 30*t + 9. Calculate v(30).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = 2*w**3 + 4*w**2 + 1. Let s be k(-3). Let h be (s + 14)*(-4)\/(-6). Let t be (10\/(-20))\/(h\/64). Solve -3*b = i - 2, 0 = -2*i + 3*b + t - 3 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 118303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 9*p - 82 = 4*p, -3*f + 60 = 3*p. Suppose 0 = -s - s + 4*t + 10, -8 = -s - t. Solve f*y**3 - s*y + 39*y + 8 + 42*y**2 + 0*y**3 = 0 for y.\nAnswer: -1, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand g**5 - 5*g**5 + 0*g**5 + (g**5 - 3*g + 3*g)*(0 - 3 + 4) + 0*g**3 + 0*g**3 - 2*g**5 - 3*g**3 + 7*g**3 - 3*g**5 + g**5.\nAnswer: -7*g**5 + 4*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -187305979452 minus -2.9?\nAnswer: -187305979449.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*v**2 - 123003600*v + 1891235701620000.\nAnswer: 2*(v - 30750900)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/((-1)\/(-5) - 18\/45). Let a(h) = -h**3 + 5*h**2 + 6. Let b be a(5). Which is greater: o or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 3*u**2. Let d be w(-1). Suppose d*o + 5 - 3 = -4*f, 4*o - f = -9. Let v be o\/2 - (-2)\/(-2). Sort 2, v, -5 in decreasing order.\nAnswer: 2, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 567821.\nAnswer: 233, 2437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -2117 or 1803?\nAnswer: 1803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 267660288 to the power of 1\/9, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 0.33, -1\/2, 1, 0.18 in decreasing order.\nAnswer: 3, 1, 0.33, 0.18, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -w**2. Let v(l) be the third derivative of 0 - l - 19\/24*l**4 + 43*l**2 + 0*l**3. Determine a(v(g)).\nAnswer: -361*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -16 - 13 + 59*s + 2*s**2 - 58*s + 76 - 8 to y + i*s**2 + t*s and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 246980096 to the nearest integer?\nAnswer: 15716","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -2*b + 11. Let n be r(11). Let l = n - -15. List the prime factors of l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 53*g**2 + 2*g - 2. Suppose 0*a + 2*a = 8. Suppose 5*x - a = y, -2*x - 42 + 15 = -3*y. Calculate the remainder when j(1) is divided by y.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2784642857?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.25 take away -43338094407?\nAnswer: 43338094406.75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**2 - 14*d - 9. Let j be v(-13). Let b be (-16)\/(-12)*6\/j. Put -3, -4, b in increasing order.\nAnswer: -4, -3, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c - 1 = -3*k - 0, -c = -k - 8. Suppose 2*s + c = -1. Let j = -4 - -3. Sort s, 0, j in ascending order.\nAnswer: s, j, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -56 + 145. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -2*g + 0*g + 0*g + 5. Let v(q) = -94 + 91 - q + 2*q. Calculate 5*a(d) + 8*v(d).\nAnswer: -2*d + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -57 = -b + 5*a, a + 3 = 8411*b - 8415*b for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-s - 2*s - 4*s + (-1 - 1 + 3)*(-s + s + s) - 3*s + 0*s - 3*s)*(-38*s + 84*s - 44*s - 312).\nAnswer: -24*s**2 + 3744*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-9)\/(-21)*908\/(-681)\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ceobbcbcuucobbb. What is prob of picking 2 u, 1 c, and 1 b?\nAnswer: 8\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(847) + 1)**2*4 - sqrt(847) - (sqrt(847) + sqrt(847) + -1)*-4)*2 - -1*(sqrt(448)*1*6 + (sqrt(448) - (-4 + sqrt(448) + 0))).\nAnswer: 378*sqrt(7) + 6780","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 - (-1 + 26 - 53)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 85, 84, 81, 76, 69, 60, 49?\n\"Answer: -n**2 + 2*n + 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18 = -5*b + l, 2*b - 3 = 32*l - 33*l. Let t(h) be the first derivative of -1\/4*h**b - 3\/2*h + 9\/8*h**2 - 2. Factor t(a).\nAnswer: -3*(a - 2)*(a - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*q + 297 + 122 = -256 for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 791 and 12204?\nAnswer: 113","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -56*x + 23*x - 65 + 461 = 3*x for x.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-nine halves of a litre in millilitres?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43 = 14228*s - 14223*s - 2*j, 2*s - 4*s - 3*j - 13 = 8 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(100) - -1*sqrt(1600))\/((sqrt(405) - (sqrt(405) + -2*sqrt(405) + sqrt(405))) + 4*sqrt(5)*1 + sqrt(5)).\nAnswer: 6*sqrt(5)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000005852 rounded to 7 dps?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*p*x**4 - 98888*p*x**2 + 63463*x**4 - 2*x**3 wrt x?\nAnswer: -48*p*x + 1523112*x - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1819254.\nAnswer: 2, 3, 23, 13183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r - 4 = -1, -2*n + 2*r + 14 = 0. Suppose 3*s + 5*f = -24, 4*s - n*s + 5*f + 9 = 0. Sort 5, s, 4.\nAnswer: s, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 202 minutes after 6:27 AM?\nAnswer: 9:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-342)\/2280)\/((-2)\/(-16))?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d, 1 j, and 1 p when four letters picked without replacement from {j: 1, d: 1, a: 2, i: 4, p: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (24\/2)\/((-4)\/(-3)). Suppose -4*o - 5*l = -c, 10*o - 3 = 11*o - 4*l. What is the second smallest value in 1\/18, o, -0.5?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-6)\/4)\/(5\/20). Let z be (-99)\/15 + d\/15. Let t be (-3 - z)*(0 + 1). Solve t*a = -6 - 14 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1732751491?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {q: 2, p: 3, w: 6, v: 2}. What is prob of sequence wpqv?\nAnswer: 3\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 204 + -193. Solve -t + 6 - n = 0 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3\/11, -0.02, -0.1, -2, 6.8 in descending order.\nAnswer: 6.8, -0.02, -0.1, -3\/11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c**4\/3 + 6160*c**3\/3 - 441454*c**2\/3 + 7304360*c\/3 + 8684216 = 0 for c.\nAnswer: -3, 38, 3007","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 573753 is divided by 117?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3426 - -20227. List the prime factors of l.\nAnswer: 53, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -v**3 + 8*v**2 + 3. Let s be l(6). Let f = s + -41. Suppose 3*h - 92 - f = 0. What are the prime factors of h?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -351, -675, -999, -1323?\nAnswer: -1647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*o**3 + 4*o**2\/5 = 0. What is o?\nAnswer: 0, 2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 440*x**5 + 2*x**4 - 76411*x**3 + 184898466*x**2 wrt x?\nAnswer: 26400*x**2 + 48*x - 458466","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 376*h + 103*h + 50*h + (-6 + 3 + 4)*(2*h + 3*h - 4*h) - 2 + 2 + h - 1 + 2*h + 1 + 0*h - h + 0*h to the form q*h + d and give q.\nAnswer: 532","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by -1708185.\nAnswer: -4\/1708185","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-39)\/(-26)*28\/(-6). Let j be 2\/z - 122\/14. Let r = j + 38. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) be the second derivative of 0*z**3 + 1\/40*z**5 + 0*z**2 - 43*z + 0 + 1\/720*z**6 - 7\/3*z**4. Let s(w) be the third derivative of m(w). Calculate s(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12653.2 + -12653. Which is the biggest value?  (a) -4  (b) 4  (c) z  (d) 2  (e) 0.05\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence iv when two letters picked without replacement from iirrrxvrx.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -52\/99 and -34\/333.\nAnswer: 3663","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f**2\/5 - 453600*f - 4535984\/5 = 0. What is f?\nAnswer: -566998, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -45 - -45.3. Round h to 1 dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*s**3 - 4*s**3 + s**2 + 6*s**3 + 2*s**3 - 12 to the form l*s + r*s**2 + g*s**3 + t and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 13003547 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*l - 7*l**4 - 8*l**4 + 16*l**4)*(2287*l - 42057 + 42057).\nAnswer: 2287*l**5 - 11435*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.42973 rounded to 3 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33503 is divided by 3618?\nAnswer: 941","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h + 64 = 5*y - h, -2 = -y + 4*h. Let j be (-8 - -2) + 12 + -12. Let m = j + y. Solve -2*n - 5*x - 33 = 0, -n + m = -3*x - 3 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -3*l**3 + 8*l - 23. Let w(y) = -2*y**3 + 5*y - 15. What is -5*s(j) + 8*w(j)?\nAnswer: -j**3 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 167101\/78 + -10945\/6. Let u = -318 + z. Let g = -22 + 21. Which is the nearest to 0.3?  (a) g  (b) u  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the third derivative of 1\/30*r**5 + 0*r - 19\/6*r**3 + 10*r**2 + 0 + 0*r**4. What is the derivative of j(u) wrt u?\nAnswer: 4*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 33 and 43692.\nAnswer: 43692","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*h + 25 = 0, -2*h = 5*g - 6*h + 55. Let l be (-4 + 2)\/(10\/g). Suppose 2*k - 132 = -0*n + 4*n, -l*n = -3*k + 192. Is 11 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 - 9 - 24*w - w - w - w + (0*w + w - 3*w)*(0 + 0 - 1) + 0 + 0 - 3*w as j*w + m and give j.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -1024b9 (base 14) in base 9?\nAnswer: -1018522","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 123 and 3.9?\nAnswer: 479.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 13 a factor of 530569?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 260\/20*9\/((-117)\/(-26)).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j = -2*v - 11 + 1, 4*v = -3*j + 8. Let q(s) be the third derivative of 1\/24*s**j + 0 + 0*s + 1\/3*s**3 - 1\/60*s**5 - 3*s**2. Factor q(z).\nAnswer: -(z - 2)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u = -6*b + 3*b + 3, 0 = 2*u - 6. Let d be b\/(-4) - 2\/4. Suppose -p + 11 + 9 = d. Calculate the greatest common factor of p and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((b*b*b**3*b)\/b**2)\/b**41)\/(b**(-1\/43)\/b**6) assuming b is positive.\nAnswer: b**(-1332\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Let j = -1857 - -1864. Let q(r) = 12*r**2 + 1. Calculate the smallest common multiple of q(-2) and j.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) be the first derivative of -7\/3*u**3 + 0*u + 0*u**4 + 0*u**2 + 0*u**5 + 5\/3*u**6 + 19. Find the third derivative of k(z) wrt z.\nAnswer: 600*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*b**4 + 2*b**5 - 2*b**4 - 3*b**5 + (3*b + 0*b - 4*b)*(-3*b**4 - b**4 - 2*b**4).\nAnswer: 5*b**5 - 2*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of (69 - 70)\/((-1)\/41)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 3216, -23, -3 in decreasing order.\nAnswer: 3216, -3, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -5 - -3abb2?\nAnswer: 3aba9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -2*v. Let g(z) = -7439128*z. Calculate g(l(c)).\nAnswer: 14878256*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 3:02 PM?\nAnswer: 8:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 8849621 to the power of 1\/3, to the nearest integer?\nAnswer: 207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 636 minutes after 5:50 PM?\nAnswer: 4:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g = -d + 2*d - 23, -2*g + 37 = 5*d. Let y be (1 - 25)\/(g\/(-24)). Let u be ((-1)\/2)\/((-8)\/y). What is the highest common factor of u and 12?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) be the first derivative of -k**4\/4 - 4*k**3\/3 + 3*k**2\/2 - 3*k - 2. Let m = -20 - -15. What is the lowest common multiple of 3 and z(m)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (1\/(-2))\/(135\/216). Suppose 5*q = -4*s - 11, 4*q - q + 13 = -4*s. Sort u, 4, s in descending order.\nAnswer: 4, u, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -97\/9457318 and 11\/234.\nAnswer: 85115862","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-3012)\/1032 + (-3 - -1) + 5 and 37\/11.\nAnswer: 946","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l = 11*s - 8, -66*l + 3*s = -65*l + 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z = 3*b + 23, 41*b - 43*b + 2*z = 14 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2578 + 2270 = -4*a. Calculate the remainder when 846 is divided by a.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 68435 is divided by 561?\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 120878.\nAnswer: 2, 19, 3181","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 20.33 rounded to zero dps?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 3 - 4)*(4*j - 3*j - 3*j + (0 + 2 - 4)*(0*j + 3*j - 5*j) + 0*j + j + j) + j - 3*j - 6*j + (2 + 6 - 2)*(-2*j - 1 + 1).\nAnswer: -28*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -0.66 or -5655\/86?\nAnswer: -5655\/86","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 301\/5 - 358\/5. Which is smaller: -0.2 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74099769287 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + 5 + 4 + (sqrt(200) - (sqrt(200) - (sqrt(200) + 1))) + -2 + 4)**2.\nAnswer: 180*sqrt(2) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 334672 and 20917.\nAnswer: 334672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8575 (base 10) to base 4.\nAnswer: 2011333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 232276073 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 288*m - 939. What is the remainder when q(4) is divided by 14?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*o = -695*o + 1966 - 9294 for o.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = o**2 - 175*o - 17485. What is h(246)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 8492\/3 - 2812. Which is the third smallest value?  (a) -1  (b) 2\/7  (c) l  (d) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -y - 3 = -1. Let c be (22\/(-4))\/(y\/4). Calculate the highest common divisor of 22 and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q. Let a(y) be the second derivative of 0*y**2 + 0 + 13\/6*y**3 + y. What is s(a(l))?\nAnswer: 13*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: (-32)\/((102\/(-17))\/(-6))\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9 - 1 + 11 - 315476*k.\nAnswer: -315476*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 171, -5 in decreasing order.\nAnswer: 171, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 - 3)*(-25*g - 57*g + 23*g)*(5 - 2 - 2)*(g**2 - 2*g**2 + 2*g**2 + (-2*g - 3*g + 4*g)*(g - g + g) - g**2 + g**2 + 2*g**2 + 2*g**2 - g**2 + 0*g**2).\nAnswer: 177*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -495.366 rounded to 0 decimal places?\nAnswer: -495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 6653207 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 881?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*x + 32*x - 13*x)*(2 - 2 - 3)*(-2*x - x + 2*x).\nAnswer: 39*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3327660 divided by 18.\nAnswer: -184870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -7*y**3 + 1 + 3 - 2 - 2.\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 85*a + 302*a + 312*a.\nAnswer: 699*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00783345507 to three decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 + 10.4. Let p = o - -2.3. Which is smaller: p or -2\/7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/(-10) - 53\/(-5). Find the second derivative of 6*r**4 + g*r - 5*r - 2*r**4 wrt r.\nAnswer: 48*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 5, e: 1, v: 3, b: 1, x: 2}. Give prob of sequence xx.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 104 is divided by 64.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 625694?\nAnswer: 2, 269, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*z - 2*z + z)*(-z**2 - z**3 + z**2 + 2*z**3 - z**3 - 5*z**3 + (-4 + 1 + 1)*(2*z**3 + 2*z**2 - 2*z**2)) + 7 - z**4 - 6 - 5.\nAnswer: -28*z**4 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-43 + 43 + 20*h)*(2 + 0 + 2)*(-3*h + 3*h - h**2).\nAnswer: -80*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 g and 1 k when three letters picked without replacement from {g: 4, n: 5, k: 7, v: 2}.\nAnswer: 7\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - j - 17 = 0, 5*p + 0*j = -2*j + 11. What is the units digit of (-283)\/(-5) + p\/(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 2*u**2 + 22*u + 24. Determine k(-8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (12\/42)\/(2\/14). What are the prime factors of 2\/(-4) + (-5)\/m + 45?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13531 = -4*a - 3*o + 10438, 2*o = 2*a - 11988. What is the hundreds digit of a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 8723 and 265122?\nAnswer: 16172442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -2*g*r**4 - 39*g*r**3 + 10*g*r**2 + 9*g + 40665*r**5 + 96*r**2 + r - 28 wrt r.\nAnswer: -48*g*r - 234*g + 2439900*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 194135491 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 4)*(-4*s + 4*s + 2*s) + 2*s + 0 + 0 + (-17*s - 10*s + 18*s)*(0 + 37 + 9).\nAnswer: -408*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 16, 2, -5, -220, -0.3, -8\/9?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in w - 421364*w**2 + 5*w - 6*w.\nAnswer: -421364*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"}
{"text":"Question: What is -1188 divided by -66?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 335 = 2*z + 3*z. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b + v = 3*v - 14, 2*b + 3*v = 16. Suppose -4*j + 42 = 2*c, 3*c + 2 - 67 = -b*j. Solve 3*l = -5*m - 3, -m = 2*m - 4*l + c for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.43?  (a) -0.11  (b) 3  (c) -2\/7  (d) -0.025  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m - 1 = -13. Suppose 0 = p - 2*h - 10, -11 - 1 = -4*p + h. Let i(b) = -2*b + 3. Let r be i(1). Sort p, r, m.\nAnswer: r, p, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -4 - -114?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*v + 71 + 11 = -14 for v.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(2\/21)*i)**(-25\/2)\/(i\/((i**(-3\/8)\/i*i)\/i)*i**(-8)\/i) assuming i is positive.\nAnswer: i**(-1187\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -255*w + 267*w - 5400. Is 90 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3308 - 7065 + 3306)*(-m + 6*m + 3*m) to the form a*m + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 184 and 1196?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) be the third derivative of -y**6\/120 + y**5\/5 - y**4\/2 - 13*y**3\/6 + 3*y**2. Let j be m(10). What is j rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -5 and 12 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 1416*b**2*u**2 + 377*b**2 - 1594*b + 24959*u**2 wrt b.\nAnswer: 2832*u**2 + 754","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 3*g**2. Suppose -5*s + 1 + 1 = 3*r, 2*r = 4*s - 6. Let t be x(r). Solve -t*k = -6 - 3 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*r**2 - 1 + 1 + (11 - 11 - 2*r)*((-2*r + 6*r - 3*r)*(0 + 3 - 2) + 2*r - 7*r + 2*r + (r - 2*r + 3*r)*(0 + 0 + 1) + 0*r + 0*r - r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (-19 + 19 + 32*c)*((0 + 2 - 3)*(-3 - 6 - 2)*(-3 + 2 - 1)*(-1 - 4 + 6) + 2 - 1 + 0)*(-c - c + c) in the form r + y*c**2 + x*c and give y.\nAnswer: 672","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19209, 38443, 57677, 76911?\nAnswer: 96145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 > -24\/223?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4983 is divided by 643.\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57*i - 52*i = f + 17, 4*i + 0 - 10 = 2*f for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -m**4\/5 - 34918*m**3\/5 - 336587977*m**2\/5 - 554695056864*m\/5 - 252353812379904\/5 = 0 for m.\nAnswer: -16496, -963","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) = -98628236 - 5*y + y**3 + 5*y**2 + 98628229 + 0*y. Suppose 5*g = 2*a - 24, 6*g + 33 = g - a. Determine s(g).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4895 - -4919. Solve 0 = 2*n + 6, 0 = -2*v - k*n + 22*n - 14 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 81 divide 424436760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 412*g - 708 + 1226 = -1954 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 217*y**3 + 63*y**2 - 63*y + 63. Let w(n) = -7*n**3 - 2*n**2 + 2*n - 2. What is 63*w(q) + 2*x(q)?\nAnswer: -7*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -55*v - q = -56*v + 2380, 0 = 4*v + 4*q - 9504. List the prime factors of v.\nAnswer: 2, 29, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1\/4 of a kilogram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 711?\nAnswer: 3, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 557743 - 4?\nAnswer: 557737","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o(k) be the first derivative of 5*k**2\/2 + 1. Let j(f) be the second derivative of 19*f**4\/12 - 12*f + 360. Give o(j(t)).\nAnswer: 95*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -131544570, -263089142, -394633714, -526178286?\n\"Answer: -131544572*k + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 30 = d, -3*y - 6 = -d - 2*y. What is the remainder when 143 is divided by d?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -k**3 - 10*k**2 - 5*k - 2. Let u be y(-10). Calculate the greatest common divisor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 3*v**2 - v + 1. Let t(z) = 9*z**2 - 2*z + 2. Let u be ((-12)\/(-20))\/(1\/(-5)). Determine u*t(k) + 8*s(k).\nAnswer: -3*k**2 - 2*k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -3*d + 107. Let g(f) = -f + 108. Let s(l) = 4*g(l) - 5*i(l). Let u be s(14). Calculate the greatest common factor of u and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52 and 52.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 34 - -254493?\nAnswer: 254517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = -c**3 + 10*c**2 + 2*c - 7. Calculate n(10).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(m) = m**3 + 21*m**2 + 78*m - 251. Suppose 5*w = -2*d + 143, 3*d - 3*w - 225 = -0*w. What is the remainder when d is divided by a(-9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -250 + 443. Suppose -v - d + 22 = -19, -5*v + z = 2*d. List the prime factors of v.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*g - 11 = 11. Let b be ((-66)\/(-5))\/((-5)\/(25\/g)). What is the common denominator of 5\/15 + (-62)\/b and -119\/10?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjnjjljnjvnnjjjnjnj. Give prob of picking 2 j.\nAnswer: 55\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s**3 - 6*s**2 - 5*s - 7. Is z(-7) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2572586 - 2572586 - 2*w.\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 5.27 - 0.07. Let s = o - 4.9. Which is the nearest to s?  (a) -0.5  (b) 1  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r + 8 = 2*p + 5*r, -2*p + 3*r + 1 = 0. What is the highest common factor of 6 and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 43, 0, 145.\nAnswer: 0, 4, 43, 145","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 3 + t**2 + 2 - t**3 - 2 + 3*t. Suppose -2*o + 6 = -0*o. What is w(o)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = -f**3 + f**2. Let z(j) = -6*j**3 - 4*j**2. Give 3*b(p) + z(p).\nAnswer: -9*p**3 - p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 59*d - 2 - 12*d - 13*d + 2*d**3 + 14*d**4 - 20*d - 13*d to n*d**3 + f*d**4 + g*d + b + o*d**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -h**4 - 2791*h**3 - 5*h**2 + 4*h + 28?\nAnswer: -24*h - 16746","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = c**3 - 27*c**2 + 28*c + 58. Let p be t(26). Let w = p - 57. What is the remainder when w is divided by 27?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*t - 45 = -15*t. Suppose 0 = 3*q - 0*q - c - 12, 24 = t*q - 3*c. Suppose -249 = -0*g - q*g. What are the prime factors of g?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -2*(-6)\/4*64\/6. Suppose -9*t = -t - f. Suppose 0 = -t*w + 5*p + 268, 3*p + 2*p = -5*w + 335. Calculate the remainder when w is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -l**3 + 4 - 4 + (2*l**2 - 31 + 17*l - 31*l + 12*l - 2*l**3)*(-1 + 2 + 0).\nAnswer: -3*l**3 + 2*l**2 - 2*l - 31","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*k + 2*a = 4, 2*k + 2*a + 2*a + 12 = 0. Let c = -566 + 575. Put k, -3, c in descending order.\nAnswer: c, k, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2863\/4 or 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 560 minutes before 11:21 PM?\nAnswer: 2:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/2?  (a) 4  (b) -1\/4  (c) -6  (d) 10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = k - 8. Let x(c) = 2*c**2. Let b be x(-2). Let r be m(b). Suppose r*g = -q - 2*g + 1, 0 = -g - 4. What is the smallest common multiple of q and 6?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.2, -1.26, -17 in ascending order.\nAnswer: -17, -1.26, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i + 42 = -24*i. Is (-676)\/(-104)*(i + 424) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 625 minutes after 9:17 PM?\nAnswer: 7:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17*h**2 - h + 17*h**2 + 8*h**4)*(2*h - 4 + 4).\nAnswer: 16*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 23 divide 621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c - 2*c + 35 = 0. Solve -q + 5*z - c*z - 5 = 0, 3 = -5*q + z for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.4 in -0.3, 5, -2\/105, -1\/10?\nAnswer: -2\/105","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 13329010 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (16 - 2)*42\/49. Let y(r) = -r**3 + 13*r**2 - 15*r + 15. Let h be y(v). Let l = h - -58. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3\/4 in -5, 1\/2, -156761?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 971356.5 tonnes in nanograms?\nAnswer: 971356500000000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 greater than -11543?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = -3 + 5 + 10*j**2 + 2*j - 3. Is u(3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = -o**2. Suppose -2*p + 10 = -2. Let c be 0\/(4\/p - 35\/(-15)). Let i(b) = 5*b - 11*b + c*b. What is i(x(j))?\nAnswer: 6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = 2*r**2 - 12*r + 6. Let z be p(6). Solve z*i + 191 = 167 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-180750)\/(3*(-1)\/36*3). What is p rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 f and 2 x when three letters picked without replacement from fxxxxffxfffffxfxfxx.\nAnswer: 120\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 254 is divided by 68.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 + -3 - 4 - (-13 + -2)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = o**2 - 7*o - 6. Let l be u(13). Suppose 0 = -3*q + 9*q - l. Let d(x) = x**3 - 12*x**2 + 3*x - 27. Let i be d(q). Solve j + 2*j = -i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4485 + 4484.999873798. What is x rounded to 5 decimal places?\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*v**2 + 28 - 22*v**2 - v**2.\nAnswer: -21*v**2 + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -90915 by 2.\nAnswer: -90915\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3?  (a) 0.4  (b) -3  (c) -0.01\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 143 - 138 = -5*n + 2*u, 3*u + 15 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 4 + -1. Let v(k) = 5*k - k - m*k - 2. Give v(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -49.85 and 2.4313.\nAnswer: -121.200305","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 498, 2481, 7858, 18327, 35586, 61333?\n\"Answer: 283*p**3 - p**2 + 5*p + 211","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -12517001*i**5*z + 2*i**4*z + 3552615*i**2*z + 25*i*z wrt i.\nAnswer: -751020060*i**2*z + 48*i*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4724453, -4724454, -4724455, -4724456, -4724457?\nAnswer: -4724458","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.46?  (a) 12  (b) -1  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i - 16 = -0*i. Suppose -10 = -3*h + i. Let m = -5 + h. Solve 2*l - m = l for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 577  (b) -6\/17  (c) 1\/36  (d) 0  (e) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.59 smaller than -6\/14443?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20631.\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, o: 9}. What is prob of picking 3 o?\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 754, 958, 1014, 856, 418, -366?\nAnswer: -1562","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x be -1 + 0 - -213 - -2. Suppose -4*o - 2*y = -x + 50, -4 = -2*y. Suppose o = -4*q + 3*q. Round q to the nearest 10.\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 68*r - 67*r = 4*b + 9, 3*b = -r + 2 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {w: 2, u: 1}. Give prob of picking 2 w.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 344 - 195. List the prime factors of u.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -3*b - 15. Let w = -241 - -245. Suppose w*g = 4*v + 8, 2*v - 3*v = g + 12. Calculate d(v).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oot when three letters picked without replacement from bovqtqob?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 483?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 26\/47 + -67\/376. Sort k, 2\/7, 38\/11 in ascending order.\nAnswer: 2\/7, k, 38\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 73528?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -1 + 0 + (5 - (-2 - -4)). Factor -1\/3 - z - 1\/3*z**3 - z**o.\nAnswer: -(z + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) be the first derivative of -7\/2*z**2 + 0*z + 0*z**4 + 0*z**3 - 2\/5*z**5 - 2. What is the second derivative of r(t) wrt t?\nAnswer: -24*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -28, -26, -24, -22?\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 52175*p - 26086*p - 26090*p.\nAnswer: -p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j**3 - 312*j**2 + 3159*j - 8370 = 0. Calculate j.\nAnswer: 5, 6, 93","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: (-6 - 3\/(300\/(-650)))\/((-2)\/(-196))\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be ((-4)\/(-1) + -4)*1\/(-2). Suppose n = -6*b - 6*b + 24. Suppose -3*p = 0, -3*f + 4*f - p = b. Solve -u = f*u - 12 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times 366?\nAnswer: 732","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j, 1 z, and 1 d when three letters picked without replacement from {z: 1, y: 3, d: 2, j: 1, x: 2, s: 6}?\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:44 PM and 1:45 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -d**3 + d**2. Let m be s(2). Which is smaller: -5 or m?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 385 (base 9) to base 4.\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*g + 6*g. Suppose d + d - 22 = g. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2.08?  (a) 5.91  (b) -5  (c) -1\/2  (d) 2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of -i**4\/6 + 7*i**3\/3 - 12*i**2 + 205*i. Let t be h(4). Solve t = 2*j - 3*j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 27*v**4\/2 - 303*v**3\/2 + 477*v**2\/2 + 1647*v\/2 + 420 = 0. Calculate v.\nAnswer: -1, -7\/9, 5, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round 1768.85 to the nearest one hundred.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kf when two letters picked without replacement from {f: 1, q: 7, z: 1, k: 10}?\nAnswer: 5\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -5*d**3 - 2*d**2 + 7*d - 3. Let r(j) = j**2 + j + 2. Let v(a) = -9*a**3 + 2*a**2 + 21*a + 7. Let n(c) = 6*r(c) - v(c). Determine -7*b(x) - 4*n(x).\nAnswer: -x**3 - 2*x**2 + 11*x + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 164*s - 152*s - 120 for s.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*u**3\/7 - 25953*u**2\/7 - 3708*u.\nAnswer: 3*u*(u - 8652)*(u + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - 17 - ((-7 - -4 - 5) + (2 - -37)).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/(-5))\/((-10)\/100). Let p be 1 + 101\/3 - s\/(-12). What is the highest common factor of 85 and p?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2)\/(-5))\/((-2)\/30). Let x(p) = 2*p**2 + 8*p - 2. Let u be x(o). What is the third derivative of 9*a**4 - 8*a**4 - 2*a**4 - 6*a**2 + u*a**4 wrt a?\nAnswer: 504*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - 6*h - 3*h + 5*h.\nAnswer: -4*h - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1592 + 1329 - 3923)*(-4*q**3 + 2*q**3 + 0*q**3)*(-7 - 4*q - 5*q + 5).\nAnswer: -18036*q**4 - 4008*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -2, 5*z + 4*i - 8*i - 184 = 0. Suppose 14*y - z*y + 565114 = 0. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -1 + 4 + 1\/1. Suppose -24 = -2*a - u. Calculate the highest common factor of a and 15.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 4*i - 3 = 45, 0 = -b + 4*i + 14. Is 32 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1856538 divided by -618846.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6160 - -6159. Sort z, 824, -6 in decreasing order.\nAnswer: 824, z, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o*o**6*o*o**(-7))\/(o**(1\/3))**(-2\/119)*((o\/(o\/(o*o\/(o\/(o\/(o*o**(-1\/3))*o)))))\/(o\/(o*o*(o*o*o**(1\/2)*o)\/o*o)))**(3\/19) assuming o is positive.\nAnswer: o**(28279\/13566)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 3, m: 1, q: 5}. Give prob of picking 2 e.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.076 - 4.076. What is the second smallest value in p, -4.46, -1?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-10)\/15*-60 + 4. Suppose -l + u = -219. Does 44 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -10\/3 and -63\/1126.\nAnswer: 3378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) be the third derivative of -1\/12*c**4 - 1\/6*c**3 + 0*c - 7*c**2 + 0. Let s be g(-4). Solve 2*d - 2*w + s = d, -3*d - 5*w = 10 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*m**2*x - 23*m*x - 26*x - 6 with respect to m.\nAnswer: -4*m*x - 23*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -9*p. Let f(y) be the first derivative of 2*y**2 + 17. Determine f(u(c)).\nAnswer: -36*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7915?\nAnswer: 5, 1583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(y) = 2*y**2 - 5*y + 4. Let n(b) be the first derivative of 4*b**3\/3 - 9*b**2\/2 + 7*b + 479. Let k(z) = -z - 20. Let u be k(-9). Give u*i(j) + 6*n(j).\nAnswer: 2*j**2 + j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1154*r + 3*r**3 - 579*r - 575*r.\nAnswer: 3*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 77901.\nAnswer: 3, 23, 1129","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wfffqffjogfjfjjqjjfj. Give prob of sequence qw.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -148 by -2.\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-32)\/(-496) - 374\/31. Sort -0.5, m, 2, 0.01 in decreasing order.\nAnswer: 2, 0.01, -0.5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-84)\/(-280))\/(12\/(-16))*-40?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1313 - 1233. Calculate the remainder when 389 is divided by b.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) be the second derivative of 181*n**4 + 1188*n. Let j(q) = -q**2. What is t(j(g))?\nAnswer: 2172*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (2\/(-3))\/((-8)\/(-12)). Let c be (-12)\/(-2) + -2 - h. Suppose x = 4*k - 2, -3*k + 6*k - c*x + 7 = 0. Sort k, 3, 0.1.\nAnswer: 0.1, k, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 497  (b) 3  (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine d, given that -4*d**3 - 147264*d**2 = 0.\nAnswer: -36816, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 342 minutes after 3:32 PM?\nAnswer: 9:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -16496*t**2 + 46330*t - 46330*t + t**3 + 70956*t**2 + 0*t**3.\nAnswer: t**3 + 54460*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) = m**3 + m. Let t(p) = 2*p**2 + 2*p + 3. Let l(j) = -3*j + 37. Let h be l(12). Let y(b) = h*t(b) + 2*g(b). Give y(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5 - 3 + 26 + 1220*f + 9.\nAnswer: 1220*f + 27","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3103509302.\nAnswer: 2, 8101, 191551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/108 and 119\/936.\nAnswer: 2808","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Total of -33 and 0.705.\nAnswer: -32.295","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/(-13)*(-396149)\/3932?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) be the second derivative of -d**4\/24 - 449*d**3\/12 - 447*d**2\/2 + 4528*d - 1. Factor w(q).\nAnswer: -(q + 2)*(q + 447)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 221890427 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 62 - 38. Let p(c) = c**3 + 8*c**2 + 5*c - 8. What is the remainder when f is divided by p(-7)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -15 + (-7 - -43) + -13 + 9?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i be -2*2\/28*1. Let q = -3.4 + 3.5. What is the third smallest value in i, 0.2, q?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (6 - 2 + 0)*(2 - 3 + 3)*(-7*d + 0*d + d) as q + f*d and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = 3*a + 5*r - 362, 3*r = 2*a - 394. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 179326?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = -345063*c - 8281506. What is r(-24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is -16659422 < 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 162884.3 weeks?\nAnswer: 27364562.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -259.4 - -278. Let p = n + -18.65. What is the third biggest value in -1, 0.02, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x = -9*v + 11*v + 1505, -4*x - 3*v = -6009. What is the hundreds digit of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 102, 105, 108, 111?\nAnswer: 114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 3064611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 64, 6\/7.\nAnswer: 1\/4, 6\/7, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 + -21. Let s = p + 19. Suppose -27 = -c - 2*c - 5*q, s*c - 6 = 2*q. What is the greatest common factor of 6 and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.51302 to 2 decimal places.\nAnswer: -0.51","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 2855d - -4?\nAnswer: 28563","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -21 + -24404410?\nAnswer: -24404431","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*w - 0*w - 155. Let x be (-36)\/(-45) - w\/5. Suppose 2*h = h + 3, h + x = -5*i. Is -2 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/7193 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is dc2c - -5?\nAnswer: dc31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from wogooogoooqooooq. What is prob of picking 2 o and 2 q?\nAnswer: 11\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1550763?\nAnswer: 3, 172307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = 5*a**2 + 17*a + 35. Let d be x(-2). Suppose h - 249 = -d. What is the highest common factor of 12 and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1929935 > 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1711 - 5156. Let m = -5895 - j. What is m rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o**3 - 6376*o**2 - 372335*o - 5385258 = 0. Calculate o.\nAnswer: -31, -27, 6434","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2 - 0) + 291\/33. Let y = -697\/99 + q. Which is the nearest to 1?  (a) -0.1  (b) -4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) be the second derivative of v**5\/15 - 7*v**4\/9 + 20*v**3\/9 + 238*v. Factor w(z).\nAnswer: 4*z*(z - 5)*(z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -62 + -35 + 74 + -46.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*m - 70 = m. Is 38\/3 less than or equal to m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1021 (base 16) in base 7?\nAnswer: -15016","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5814 divided by -646.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00001210143 to 7 dps.\nAnswer: -0.0000121","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -12333 - -34480. List the prime factors of t.\nAnswer: 22147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 32\/3389 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 108, 414, 894, 1524, 2280, 3138, 4074?\n\"Answer: -4*d**3 + 111*d**2 + d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57 = -5*m - 3*k, 0*k = -5*m + k + 61. Suppose 4*h - 2*h - 6 = -4*i, -3*i = -3*h. Calculate the smallest common multiple of h and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 4418380?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((k\/(k*(k*k*k\/k**(-6\/5))\/k))\/k*k\/(k**(-1\/7)*k)*k**6\/k*k*k\/(k*k\/k**(1\/4)*k))**(1\/50))**23 assuming k is positive.\nAnswer: k**(621\/7000)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) be the second derivative of 53*i**6\/6 + 11*i**4\/6 - 3*i**2 - i - 35. What is the third derivative of a(h) wrt h?\nAnswer: 6360*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2\/(-12)*81\/(-18).\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(-1 + (sqrt(17) + -1)*-1) - (0 + 4 + sqrt(187)\/sqrt(99)).\nAnswer: -4 + 11*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(p) = -12*p + 1. Let x be h(1). Let q(z) = 6*z. Let o(a) = 2*a. Let i(v) = x*o(v) + 4*q(v). Let s(t) = 4*t - t + 0*t. Calculate i(s(w)).\nAnswer: 6*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d*d**(-6)*d\/(d\/(d\/d**(-3\/4))))**(2\/73) assuming d is positive.\nAnswer: d**(-13\/146)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Determine p, given that 3*p**2 + 15*p + 18 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.7 times 895?\nAnswer: 6891.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/2?  (a) -4  (b) -1\/9  (c) -85\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 422265?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = 6*r**4 + 3*r**3 + r**2 - 3. Let x(o) = -o**3 + o**2 + 1. Let k(t) = l(t) + 3*x(t). What is the third derivative of k(g) wrt g?\nAnswer: 144*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = n + 29. Suppose -p - 3*h + n*h + 14 = 0, 8 = -2*h. Let j be (4 + p - -1) + 7\/7. Solve 4*w = d + 15, 3*d + 0*d - j*w + 5 = 0 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 117792 and 1770152?\nAnswer: 3272","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-4)\/18)\/(-2))\/((-27)\/8019*-33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 22700 - 22686. Solve -4*k + b = 3*t, -63*k + 65*k = -2*t + 8 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 24 - 22. Solve 19 = 5*n - 2*n - 2*b, -z*n = 3*b + 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*i**3\/7 - 51868*i**2\/7.\nAnswer: 4*i**2*(i - 12967)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -431 less than or equal to 5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express -m**2 + m + 71*m**3 + 4*m**4 - 5*m**2 + 77*m**3 - 1 - 149*m**3 in the form a*m + q*m**3 + v + h*m**4 + n*m**2 and give h.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 119 - 44 - 2*f**3 - 36 - 39.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 0*m - 130 = 5*m, -v = m - 30. Suppose 5*h = 4*g - 44, -4*g - v = -h + 5*h. Let k = 16 + h. Is 4 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -72*h**2*l**4 - 8*h**2*l + h**2 + 2*h*l - 2*l**4 wrt l.\nAnswer: -864*h**2*l**2 - 24*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + sqrt(70)\/(sqrt(1210) - (sqrt(1210)*-1 + sqrt(1210))).\nAnswer: sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 134*h - 130*h - 46240 = -5*x, 4*h - 9264 = -x. Is 184 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 76 - -263. Let c = 1057 - 2155\/2. Find the common denominator of c and (1 - z\/(-48)) + -2.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate g*l**3 + 2081*g*l**2*y + 2226*g*l + l**3*y wrt y.\nAnswer: 2081*g*l**2 + l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 80*(714\/272)\/7.\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve n - 80 = -15*z, -67*z - 5*n = -69*z - 15 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3\/155, -0.1, -1\/3, 45, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = -2*w - 82, -2*k + 2*w + 13 = -157. Does 11 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -3716.1 + 3507. Let a = i + 197. Let l = a + 12.87. Round l to 1 dp.\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*j - 144252*t + 144251*t = -16, 36 = -3*t for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert -28a4 (base 12) to base 15.\nAnswer: -1607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-539)\/154 - -1*5. Let a(x) be the first derivative of 0*x**3 + 0*x + 13\/4*x**4 - f*x**2 + 2. What is the second derivative of a(g) wrt g?\nAnswer: 78*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.055822*7\nAnswer: 0.390754","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 3*w + 4. Calculate the remainder when 16 is divided by y(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3a6049b (base 13) to base 6\nAnswer: 1453345331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = -3*d + 7. Let r(i) = 2*i - 6. Let t(g) = -4*a(g) - 5*r(g). Differentiate t(c) wrt c.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 206\/10 + (-2)\/(-5). Suppose -i + 2*p + 20 = 0, 85 = 4*i + p - 4*p. Let u = y - i. Sort -6, u, 1 in increasing order.\nAnswer: -6, u, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26 a factor of 23179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 2 + 12*(0 + -1). Let g be 280\/42*(-36)\/b. Which is smaller: 23 or g?\nAnswer: 23","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 58*t**3\/3 - 1042372*t**2\/3 + 4683323480*t\/3 + 322992784\/3 = 0.\nAnswer: -2\/29, 8986","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 66661 to the power of 1\/3, to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 422 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4278 and 138.\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, 0.4, 190, 1\/3, 1\/2 in ascending order.\nAnswer: 0.3, 1\/3, 0.4, 1\/2, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 18 - 14. What is the third biggest value in c, 1, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) be the third derivative of -m**5\/3 - 502*m**2. Let x(u) be the first derivative of 2*u**2 - 2. Determine l(x(c)).\nAnswer: -320*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0069027 rounded to 5 dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*d - 469 = 138*d. Factor -77*l**3 + 5*l**2 + 118*l**3 + 3*l**2 - d*l**3.\nAnswer: -2*l**2*(13*l - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -318 divided by 471038\nAnswer: -159\/235519","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -a**4\/4 + a**3\/2 + a**2\/4 - a\/2.\nAnswer: -a*(a - 2)*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k = -2*p + 2*k - 322, p - 4*k + 158 = 0. Let f be (-10)\/(-6) + 27\/p. Factor f - 3\/4*j**2 + 3\/4*j.\nAnswer: -3*(j - 2)*(j + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -67\/1045552 and 93\/1724?\nAnswer: 450632912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 199 + -147. Suppose 23*q + m = -109. Is q not equal to -40\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 4.2383 from -0.8.\nAnswer: -5.0383","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(d) = -d**3 - 53*d**2 - 53*d - 66. Let y be z(-52). Is 1*38507\/y*-1*2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 149 divide 7994446?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -159 (base 12) in base 3?\nAnswer: -21220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 78\/731 or 0?\nAnswer: 78\/731","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*z = -5*n + 9*z + 6, -3*z = 4*n - 1. List the prime factors of ((-1)\/(2\/(-1252)))\/n.\nAnswer: 2, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 10.31493 to 2 decimal places.\nAnswer: 10.31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.31 - -16.69. Let v = 15 - u. Sort -0.014, -1\/7, v.\nAnswer: v, -1\/7, -0.014","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1885631833?\nAnswer: 769, 2452057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 3*y - 6 = 0. Let f be ((-3)\/(-4))\/(y\/(-12)). Let s = f + 5. Calculate the remainder when 13 is divided by s.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (0 - 1) + (-6 - -1 - -10). Let x = 5 - 2. Suppose -x*n = -n - 4. Solve -c*l = -y - 12, 3*y - n*l = 5*y - 16 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -180212080 rounded to the nearest one million?\nAnswer: -180000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -5205906956\/386015 + -232\/55145. Let s = -13521 - h. Which is smaller: -34 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 6 + -6. Suppose r = 3*t - 2 - 7. Suppose v = 2*j - 6*j + 18, -2*j = t*v - 14. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/10 of a tonne in kilograms?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.1 and 178890864.\nAnswer: -17889086.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l + 5*p = 32421, -4*l - 2*p - 22703 = 9711. Let f = l - -11511. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"}
{"text":"Question: Sort -66, -0.1, 0.2, 8565 in increasing order.\nAnswer: -66, -0.1, 0.2, 8565","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 191 divide 1874291?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1337 + -1337. Let m = 4 - 3. Which is the closest to m?  (a) -2\/19  (b) 1  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.234289 rounded to 4 dps?\nAnswer: -0.2343","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 5 + -11. Let q = j - -11. Suppose 5*d - 4*u + q*u = 47, -4*d = 4*u - 28. Calculate the highest common divisor of d and 100.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -31*a**2 - 148926*a - 9608 = 0. Calculate a.\nAnswer: -4804, -2\/31","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 10, -2, -138887, -4 in ascending order.\nAnswer: -138887, -4, -2, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -107\/6 and -77\/16012.\nAnswer: 48036","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-11 - 395\/(-20)) + (-1)\/(-4). Let x(z) = -z + 5. Give x(t).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a - 3 = 0, 0 = 3*n + 5*a - 164 - 38. What is the units digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -3*f - 2. Let u(g) = -2*g**2 - 43*g. Calculate u(j(w)).\nAnswer: -18*w**2 + 105*w + 78","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 120 - 120 - 55*k**2 to the form o + n*k + v*k**2 and give v.\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 3 - (5 + -13)\/1 - 5. Let p(g) be the second derivative of 1\/12*g**4 - 2*g + g**2 + 0 - g**3. What is p(u)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -43*u - 26*u - 2039 = 7*u + 1305 for u.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 17002618 at least 17002610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Factor -103*y**4 + 101*y**4 - 75*y**2 + 24*y**3 + 3*y**2.\nAnswer: -2*y**2*(y - 6)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 7*z - 77. Let o be w(13). Let q(h) = 4*h**3 + 12*h**2 + 6. Let a(b) = b**3 + b**2 + 1. Determine o*q(v) - 6*a(v).\nAnswer: -2*v**3 + 6*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*n + 882 - 1763 - 7*n**3 + 883 in the form r*n + t*n**2 + o*n**3 + f and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -5 times -2.5\nAnswer: 12.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 33191, 32974, 32421, 31376, 29683, 27186, 23729?\nAnswer: 19156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -1b + -7?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-406 - -410)\/(4\/8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:41 PM and 6:45 PM?\nAnswer: 64","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*g = 22*g + 242. Let d be 3\/(-6)*g + 0. Calculate the greatest common factor of d and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2*b*r**4 - 619*b*r**3 + 112*b*r - 2*b - 2*r wrt r?\nAnswer: -24*b*r**2 - 3714*b*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 - 425*q + 909*q - 105*q + 2.\nAnswer: 379*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 2*h - 2. Let f be q(2). Let v(p) = -f*p - p + 4*p - 7 + 5. Determine v(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -6*d + 4*d + 4*f + 14, 10 = -5*f for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 56*z - 219 = 5. Let q(f) be the third derivative of 0*f**3 + 0 + 1\/30*f**5 - 13\/24*f**z - 14*f**2 + 0*f. Find the second derivative of q(l) wrt l.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -2*f**2 + 3. Let o = 54 - 33. Let c(u) = 5 + 14 + o - 13*u**2 - 12*u**2. Determine -3*c(w) + 40*v(w).\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00004235 to six decimal places.\nAnswer: 0.000042","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-x - 2*x + x)*(-2 + 4 - 3) + 0 + 0 + x - 2*x - x + 2*x + 5*x - 4*x + 2*x + 34*x + 40 - 28*x + 48 - 32 to the form z + g*x and give z.\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (138\/(-12))\/(1\/(-2)). Suppose 3*j + 4*n = -37, -6*n = j - 2*n + z. Let g = 14 + j. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.1  (b) 4\/11  (c) -23  (d) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u - 4. Let g be y(4). Which is smaller: -7 or g?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13 + 12*a + 3 + 5*a.\nAnswer: 17*a - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = 4577*b + 192106. Give o(-42).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r + 5*r + 0*r)*(0*r**3 + 2*r**3 - 29*r**4 + 0*r**4).\nAnswer: -29*r**5 + 2*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*w - 33*w = 4*x - 8, -5*x - 11 = -2*w for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 362  (b) -0.02  (c) -3  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7\/(-28))\/(5\/(-2)*28\/8400)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 8681756?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 151\/282 - 33\/47. Which is the nearest to -9\/7?  (a) 2  (b) h  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -5*o + 16. Let u be (3030\/404)\/((-10)\/(-12)). Calculate h(u).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83267186 is divided by 1553?\nAnswer: 1538","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let q(a) = -2*a**2 + 196*a - 4539. Determine q(33).\nAnswer: -249","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28377 is divided by 28364.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p(u) = -u**3 + 16*u**2 + 8*u - 39. What is the remainder when p(16) is divided by 14?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 212 divided by 47.\nAnswer: 212\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 19288, 18131, 16974, 15817, 14660, 13503?\nAnswer: 12346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 9*s = 0. Suppose 0 = -2*n + 5*d + 11, 5*n = -s*n - d + 14. Find the second derivative of -2*b**4 - 8*b**4 - 22*b**3 + 22*b**n - 6*b wrt b.\nAnswer: -120*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**2 - 4*x + 7. Let v be f(-5). Let o = 9 - v. Suppose -h + 1 + o = 0. What is the units digit of h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1004 = 24*i - 1028 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66 - 53 = -5*c - 2*n, 0 = -5*n - 15. Suppose 36 = 2*u + 12. What is the remainder when c - (18\/3 - 4) is divided by u?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1221 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 2670356*d. Let b(s) = 9*s**2. Determine v(b(k)).\nAnswer: 24033204*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -52*r - 154 + 570 for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4207 - 4229) + (0 - 39).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) be the third derivative of 0*p + 7\/60*p**5 + 1\/12*p**4 - 1\/6*p**3 - 2*p**2 - 8. Determine j(-2).\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - r + 3 + r)*(12 + 4 - 4).\nAnswer: 24*r + 36","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -13870, -27767, -41664?\nAnswer: -55561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = 42*o + 6. Let r(a) = 42*a + 7. Let g(s) = -7*j(s) + 6*r(s). Let u(y) = 2*y. What is u(g(z))?\nAnswer: -84*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3 - (-7 - -6) - (4 + 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + j = -3, r - 3*r = -4*j + 24. Let p = -0.34 - -0.42. Which is greater: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 624078633 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 445 - 445 + 3*l + 16*l**2 to a*l + u*l**2 + z and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 5. Suppose v = 3*x - 5. Suppose 0 = 2*d - 2*t - 212, x*t - 48 = -5*d + 475. Calculate the greatest common divisor of 42 and d.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 35 (base 10) to base 13.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -3807 greater than -3804?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 57\/2 of a millennium in decades?\nAnswer: 2850","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 22\/3*1*(-6)\/2. Let g = -9 - v. Calculate the highest common factor of 91 and g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0000006686 to seven decimal places.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose d - 344 = 4*u, -3*u + d - 411 = -153. Let q = -73856\/15 + 4921. Find the common denominator of q and u\/(-36) + (-3)\/(-6).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = r**3 + 3*r**2 - 1. Let c = 1 - 3. Let u be a(c). Factor -2\/3*t**u - 2*t**2 - 2\/3 - 2*t.\nAnswer: -2*(t + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7194, 4400, 1602, -1200?\n\"Answer: -2*i**2 - 2788*i + 9984","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2480278?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-7))\/(9*(-1)\/7).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -57 * 1839\nAnswer: -104823","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eepy when four letters picked without replacement from eyeypeyeyee.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.005 - 5.005. Which is bigger: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 4, 2\/27, 5.3, -1575?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1499549, 1499560, 1499593, 1499660, 1499773?\nAnswer: 1499944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of k**2 - 1\/20*k**5 - 1\/3*k**4 + 0 + 0*k**3 + 5*k. Calculate x(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5236\/(-33) - (-4)\/6. Is h\/(2 + -2 - 2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 125751495?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmmmdddmmdddmdqmdq. What is prob of picking 1 d and 1 q?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q = -0*q + 12. What is the tens digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*v = 3*b + 34, 3*v + b = -v + 17 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}